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Exp Astron 
DOI 10.1007/s10686-010-9209-y 
REVIEW ARTICLE 
Mission-constrained design drivers and technical 
solutions for the MAGIA satellite 
Giorgio Perrotta · M. Stipa · D. Silvi · 
S. Coltellacci · G. Curti · G. Colonna · 
T. Formica · V. Casali · T. Fossati · 
F. Di Matteo · M. Zelli · M. Rinaldi · 
L. Ansalone · A. Di Salvo 
Received: 8 April 2010 / Accepted: 23 November 2010 
© Springer Science+Business Media B.V. 2010 
Abstract The Mission MAGIA (Missione Altimetrica Geofisica GeochImica 
lunAre) was proposed in the framework of the “Bando per Piccole Missioni” 
of ASI (Italian Space Agency) in 2007. The mission was selected for a phase 
A study by ASI on February 7th 2008. The tight budget allocation, combined 
with quite ambitious scientific objectives, set challenging requirements for the 
satellite design. The paper gives a fast overview of the payloads complement 
and of the mission-constrained design drivers, including cost minimization, risk 
reduction, and AIT flexibility. The spacecraft architecture is then outlined, 
along with an overview of the key subsystems and trade-offs. Some details 
are given of a Moon gravitometric experiment based on a mother–daughter 
satellite configuration with the daughter being a subsatellite released from 
the MAGIA satellite and intended to circle the Moon at a very low altitude. 
Budgets are appended at the end of the paper showing the key study results. 
Keywords MAGIA · Lunar orbiter · Satellite design · Subsatellite · 
Moon orbiter · Spacecraft subsystems · Spacecraft modeling · 
Satellite trade-offs · Propulsion design · Thermo-structural design · 
Power subsystem design · Optical experiments accommodation · 
RF experiments · Particle experiments accommodation · Moon-orbiter to 
Earth communications · Ranging · Gravitometric experiment 
G. Perrotta (B) · M. Stipa · D. Silvi · S. Coltellacci · G. Curti · G. Colonna · T. Formica · 
V. Casali · T. Fossati · F. Di Matteo · M. Zelli · M. Rinaldi · L. Ansalone 
SpaceSys, Via Latina 293, Rome, Italy 
e-mail: giorgio.perrotta@spacesys.eu 
A. Di Salvo 
Rheinmetall Italia, Rome, Italy
Exp Astron 
Fig. 1 Key elements of the MAGIA Mission 
1 MAGIA mission 
The MAGIA mission, whose key elements are shown in Fig. 1, has the 
following scientific objectives: 
– Detailed study of the internal structure of the Moon through its gravity; 
– Study of the polar and subpolar regions in terms of their morphology and 
mineralogy; 
– Study of the lunar exosphere and radioactive environment; 
The mission intended also to contribute to the fundamental physics via mea-surements 
of the gravitational redshift, and to perform test in view of the 
second-generation lunar laser ranging. 
The scientific mission was implemented with a suite of instruments and 
experiments as shown in Table 1. 
A total payload mass plus control electronics, thermal control and harness 
of less than 60 kg results, which is fairly credible since the most massive units 
Table 1 Payload complement to accomplish the scientific mission 
Instrument Acronym Mass (kg) 
Spectrometer context camera CAM-SIR 11 
High resolution camera CARISMA 4 
Radar altimeter and radiometer RAR 9 
Gravitometric experiment dual accelerometer ISA 6.1 (+6.1 in subsatellite) 
Neutral particle detector ALENA 1 
Particles spectrometer RADIO 0.3 (est.) 
CCR array VESPUCCI 3 
CCR-MoonLight MoonLight-P 1.2 
Radio science Radio science X- and S-band RF links
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Table 2 Orbit parameters for 
the lunar mapping orbit 
Lunar mapping orbit 
Semi-major axis 1,838 km 
Eccentricity 0.00675 
Inclination 89.99 
Argument of perigee 270◦ 
Orbital period 2 h 
are already existing or are derived by similarity to already-flown ones. With 
the exception of the Radar Altimeter and Radiometer and the MAGIA-borne 
accelerometer (the other accelerometer is installed on board the releaseable 
subsatellite) all instruments are housed in a thermally controlled module 
mechanically decoupled from the rest of the spacecraft. 
The Earth–Moon transfer is a dimensioning space segment factor due to 
the propulsion requirements.Different lunar transfers were analyzed including 
Hohmann-like and variants of the Weak Stability Boundary trajectories. A 
Hohmann transfer was selected for its simplicity and short time duration. 
The two launchers taken into consideration, as requested by the Customer, 
are Vega and Soyuz/Fregat, which represent European small and medium 
class options in terms of capability and cost. The Soyuz/Fregat launcher 
resulted to be fully compatible with the mission and transfer requirements and 
was therefore chosen, allowing a direct lunar injection, while minimizing the 
propellant mass to be embarked. 
A circularization maneuver around the Moon, to insert the spacecraft into 
the operational orbit, is required by lowering the orbit altitude with respect to 
the arrival conditions. A polar frozen low lunar orbit (LLO) was selected for 
a preliminary characterization from an operational point of view (e.g., lunar 
coverage, ground visibility etc.); the orbital parameters are shown in Table 2. 
An uncontrolled LLO, leaving the orbital plane essentially unchanged in 
an inertial frame, allows in principle a complete coverage of the lunar surface 
during a sidereal month. TheMoon advances about 15◦/day along its orbit, and 
within this time span, a satellite injected on a 100 km orbit completes about 12 
orbits around the Moon. As a consequence, the angular separation between 
two subsequent orbits in a frame rotating with the Moon is of the order of 1◦. 
The maximum duration of spacecraft routine solar eclipses lasts about 
45 min, roughly corresponding to 40% of the orbital period; total lunar eclipses 
represent the worst-case period for the spacecraft without sunlight. 
Two distinct mission phases are foreseen: the first devoted to lunar mapping 
and imaging and the second to the gravity experiment. Two slightly different 
Table 3 Orbital parameters 
for the gravity experiment 
Gravimetric experiment orbit 
Semi-major axis 1,798 km 
Eccentricity 0.00675 
Inclination 93.00 
Argument of perigee 270◦ 
Orbital period 2 h
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Table 4 Earth–Moon 
transfer velocity increments 
requirement 
Maneuver (s) V (km/s) 
LOI (Hohmann transfer) 0.8 
Lunar imaging phase orbital control 0.070 
Orbital transfer 0.093 
Safety margin (+5%) 0.050 
Total 1.012 
nominal orbits have been respectively selected for the two phases. For the 
6 months of mapping and imaging, it is highly desirable to have a polar 
orbit, since it guarantees the best coverage of the entire lunar surface. The 
experiment requires that the satellite altitude be maintained within a range 
of 100 ± 30 km. Therefore, orbital correction maneuvers are preliminary 
planned every 40 days to restore the eccentricity to its nominal value. Since the 
duration of this mission phase is fixed at 6 months, five correction maneuvers 
are needed. Each maneuver consists of two burns for a total of 14 m/s. The 
total Delta-V necessary for maintaining the orbit inside the nominal box for 
this phase is then 70 m/s. 
At the end of the lunar mapping phase, the spacecraft must be transferred 
to the gravimetric nominal orbit (Table 3), by changing orbit semi-major axis 
and inclination, required to cope with scientific experiment requirements. The 
latter maneuver, to achieve an inclination change of about 3◦, is the most 
expensive, requiring a Delta-V of about 85 m/s; a total Delta-V of 93 m/s 
is estimated for the overall orbital transfer, including the semi-major axis 
trimming. 
The orbit control strategy during the gravity experiment phase is compli-cated 
by the presence of a releasable subsatellite, which has no maneuvering 
capability. The gravitometric experiment requires at least 1 month of opera-tions, 
at a mean radius of 1,798 km, though a longer mission duration of up to 
3 months was considered. 
The total velocity increment for the overall mission that must be provided 
by the spacecraft propulsion system, is summarized in Table 4. Let us stress 
that the first maneuver to inject the spacecraft into the Lunar Transfer Orbit 
is assumed to be performed by the launcher. To accomplish all complex 
mission maneuvers, a double propulsion system was baselined, including both 
a hydrazine system for spacecraft orbit transfer and reorientation, and a cold-gas 
one for attitude control tasks. 
2 Spacecraft design approach 
The spacecraft architecture consists of three functionally, physically and tech-nologically 
independent assemblies: 
Propulsion module; Platform (or Service) module; Payload module
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The sum of these three modules can be enveloped by a parallelepiped with 
dimensions: 700 × 1,400 × 2,050 mm. 
The propulsion module hosts both a hydrazine-based main propulsion 
system and a cold-gas based auxiliary propulsion system. It also hosts the 
subsatellite along with its release system. 
The platform (or Service) module hosts the majority of the electronic 
subsystems, with the exception of the star sensors which are integrated in 
the payload module and of the X-band high-gain antenna (HGA) which is 
accommodated on the upper part of the payload module as well. 
The payload module accommodates most payloads—with the exception of 
the radar payload, a high sensitivity accelerometer (ISA), and a high stability 
clock. The payload module has been carefully designed to meet the tight 
operating temperature limits of the payload equipments. 
The spacecraft design was conceived to be largely built around previously 
qualified items, when available, or on COTS further subjected to delta-tests 
when their heritage or status did not meet minimum quality levels considered 
adequate within the cost limitations of the Programme. 
A prototype approach was also baselined, since most units were derived 
from already-flown ones, with the exception of new instruments that had to be 
subjected to a qualification campaign with somewhat reduced severity levels, 
however. 
3 Spacecraft structure 
The spacecraft structure encompasses all three modules using different tech-nologies 
matched to the operational requirements of each. More specifically, 
the propulsion module, shown in Fig. 2, is an open-truss structure of carbon- 
Fig. 2 Propulsion module, 
tanks and subsatellite
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Fig. 3 Service module, 
interior 
fiber-reinforced plastic (CFRP) tubular elements connected with high-strength 
aluminum alloy joints. 
It carries the tanks of the propulsion system (mono-methyl hydrazine fuel 
and a pressurant) and the Attitude Orbit Control Subsystem thrusters, the 
propulsion system harness (valves, tubes etc.) and the subsatellite deployer (a 
closed, box-shaped, aluminum alloy sandwich structure carrying the subsatel-lite 
for the gravitometric experiment). 
The propulsion module is connected to the service module by high-strength 
screws permitting a smooth transfer of loads. The service module, shown 
in Fig. 3, is a closed aluminum alloy sandwich structure with high-strength 
aluminum frame carrying longitudinal and lateral loads. The lateral sand-wich 
panels are integrated with aluminum-machined plates with stiffeners to 
adequately support the electronic boxes accommodated on the panel which 
contribute to the overall satellite stiffness. The interface with the propulsion 
module and the top panel—which interfaces with the payload module—are 
thick core sandwich panels to meet the requirements of dimensional stability. 
The Service module carries most of the electronic boxes including the Radar 
Fig. 4 Payload module, 
interior
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Fig. 5 MAGIA spacecraft 
structure in three modules: 
launch configuration 
payload; and—along with the propulsion module structure—supports the large 
lightweight sandwich solar panels via a truss structure made of small-section 
CFRP tubular elements. The payload module, illustrated in Fig. 4, is a closed 
box made by sandwich structural panels carrying optical payloads and star 
trackers. The base panel is a dedicated optical bench in order to have a 
common stiff interface and to permit the correct alignment between different 
instruments optics and star sensors. 
The mechanical connection with the service module is designed in order to 
reduce the thermo-elastic deformations coming from the orbital thermal loads. 
The MAGIA satellite, in both its launch and in-orbit configurations, is 
shown in Figs. 5 and 6. A detailed Finite Element Model was developed to 
perform both static and dynamic analyses of each module and of the full 
spacecraft. A modal frequencies analysis was performed along the X-axis, as 
themost representative, to obtainmodal participation mass factors. The results 
indicate compliance with the launcher (Fregat/Soyuz) frequency (20 Hz on 
lateral axes). Besides, a rapid overview of the modal analysis enabled to 
pinpoint that the lower side of the elements of the propulsion module truss are 
the more stressed elements. Detailed static analyses were then performed on 
Fig. 6 MAGIA spacecraft: 
in-orbit configuration with 
two solar panels deployed
Exp Astron 
each module to better assess the structure criticalities. Several areas requiring 
local improvements were thus identified and characterized. 
4 Propulsion subsystem 
Three design alternatives were considered: 
(a) Independent hydrazine and cold-gas (N2) propulsion systems. The pri-mary 
propulsion system operates in a pressurized mode, requiring a 
helium-filled pressurant tank; and a separate N2 auxiliary propulsion 
system operating in a blow-down mode, the N2 being contained, at high 
pressure, in a third tank; 
(b) A hydrazine/nitrogen propulsion system with two interconnected tanks, 
one containing hydrazine and the other compressed nitrogen acting as 
a pressurant for the hydrazine system while operating in a blow-down 
mode for the cold-gas, auxiliary, propulsion system; 
(c) An all-hydrazine propulsion system operating in a blow-down mode for 
both the primary and auxiliary propulsion system. 
Conservatively, the first configuration (a), shown in Fig. 7, with three tanks 
and two independent propulsion systems, was selected as a baseline, which 
is largely based on commercial, space-qualified components: tanks from 
N2 
fill/drain 
valve 
pressure 
transducer 
filter 
pressure 
regulator 
pressure 
transducer 
relief 
valve 
thrusters thrusters 
Fig. 7 Pressurized hydrazine for orbit control (on the right); and cold nitrogen propulsion system, 
operating in a blow-down mode, (on the left) for attitude control
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PSI/ATK or ARDE’, hydrazine thrusters from EADS, valves and cold-gas 
thrusters from Moog or Encore. 
Since the orbital maneuvers require repointing and will be implemented 
piecewise, a commercial, qualified, thrust motor (EADS CHT 20) providing 
20 N thrust is employed. About 140 kg of hydrazine will be stored in a quite 
large elliptical tank (type 80420-1 from ATK/PSI). A pressurized, helium-based, 
pressurant tank is used to keep high the motor Isp even when the 
Hydrazine tank will be almost depleted. The pressurant is contained in a 
titanium spherical tank (type 80202-1 from ATK/PSI) also hosted in the 
Propulsion module. 
The propellant tankage will be capable of providing the velocity increment 
of Table 3 for a satellite dry mass of 232 kg, which represented a target mass 
for the feasibility study phase. 
The cold-gas propulsion system is used for reaction wheels desaturation, as 
well as to support spacecraft reorientation pre-post hydrazine engine firing. 
The N2 tank (a PSI/ATK type 80345-1) is sized to accommodate 5 kg of N2 
at high pressure, and will operate in a blow-down mode. The cold-gas space-qualified 
commercial thrusters will be in number of 8, in two quadruplets of 
four thrusters each. The thrusters will be characterized by a thrust in the 20- to 
50-mN range and an Isp around 50 to 60 s. The thruster can be from Moog or 
other space-qualified microthrusters suppliers. 
The computed dry mass of the propulsion subsystems amounts to 33 kg, 
excluding the structure supporting the various components. 
5 Power subsystem 
The configuration of the solar array is quite unconventional due to several 
reasons: the time evolution of the satellite orbit with respect to the Sun; the 
nadir-pointing satellite attitude in a Moon orbit; the payloads duty cycles; 
and the requirement for an unobstructed field of view for heat dissipation 
Fig. 8 Solar array geometry
Exp Astron 
Fig. 9 Solar array concept 
by radiation. The solar array dimensions result from the combination of the 
above factors. During the study, several solar array geometries were analyzed, 
starting from that schematically shown in Fig. 8 which gave rise to many other 
variants, the last of which is conceptually shown in Fig. 9. 
The rationale for the configuration shown in Fig. 9 is the need for rejecting 
heat from the sides of the platform module which is densely populated with 
power dissipating electronic units while retaining the total solar array area and 
shape of the initial configuration. 
During launch, the in-orbit deployable panels will be restrained by means of 
releasable double clamps. Accordingly, there will be six identical solar panels 
each including 22 strings in parallel of 10 cells in series each, for a nominal 
voltage around 26 V at Tamb (1,320 cells in total). 
The solar array is thus composed of four body-fixed panels—two on the 
dorsal side and two lateral panels, canted at 22◦w.r.t. the vertical—and two 
in-orbit deployable panels. The fixed dorsal and lateral panels serve also to 
block the Sun rays from reaching the propulsion tanks; while the two in-orbit 
deployable panels, also canted by about 22◦ with respect to the local vertical, 
are deployed to allow the platform module sides to radiate heat towards free 
space. 
High-efficiency, triple-junction, GaAs cells with an efficiency of 28% will 
be used, with dimension of 80 × 40 mm and a space of 2 mm between any two 
adjacent cells. A lower cell efficiency of 26%—leading to a considerable cost 
saving—might become feasible by reducing the satellite and payloads power 
demand. In the baseline each string of the Solar Array will have 10 cells (26 
Voc at Tamb and 31.5 Voc at −75◦C, BOL) and 22 strings in parallel. In total, 
there will be six panels all identical with dimensions of 924 × 820 mm. 
A simulator has been developed in Matlab to analyze, as indicated in 
Fig. 10, the generation of electric power from solar panels depending on the
Exp Astron 
Fig. 10 A Matlab simulated 
analysis of the generation of 
electric power from solar 
panels 
position along the Moon orbit and the Sun vector incidence angle. The power 
consumption along the orbit is also simulated; therefore the charge–discharge 
of the battery is taken into account. The following relevant parameters were 
computed: 
– Average power generation = 622.6W 
– Maximum power generation = 933.9 (lat 0◦/long 0◦) 
The battery is based on a Li-ion technology which has achieved a fair 
maturity stage. The battery is sized for a nameplate capacity of 1,000 Wh; 
it is planned to drain energy from the battery up to a d.o.d. between 20% 
and 25%, although the technology could well support d.o.d larger than this 
throughout the about 3,300 charge–discharge cycles corresponding to a nom-inal 
9 months mission duration. The Electric Power management implements 
a semi-regulated bus architecture. In sunlight, a peak power tracking logic is 
active to better adapt the variable load to the voltage–current characteristics 
of the solar array. The battery charge circuit adapts the semi-regulated bus to 
the voltage–current regime required by the Li-ion battery. In eclipse the bus is 
fed by the unregulated voltage from the discharging battery. 
6 Thermal control subsystem 
The first priority was to optimize the spacecraft thermal control during the 
nominal Moon mission. Several iterations were performed: the approach 
finally adopted was also capable of supporting the spacecraft operations in 
its parking orbit and throughout the Earth–Moon transfer phase. The basic 
approach was to strive to achieve average Payload module temperatures lower
Exp Astron 
Fig. 11 View of body-fixed 
and in-orbit deployed solar 
panels vs lateral Service 
module surfaces 
than those of the Service module, while keeping the propulsion subsystem 
components well within their safe operating temperature range. 
To achieve this result we have maximized the radiative surfaces of the 
payload module and minimized the thermal exchange between payload and 
platform modules. To maintain the Service module temperatures within the 
hosted equipments allowed temperatures, we have chosen to in-orbit deploy 
two of the six solar panels in order to maximize the radiation into free space of 
the two side panels of the Service module (panels 8 and 9 of Figs. 11 and 12). 
Besides, we have positioned four of the six solar panels in such a way to 
shield the propulsion components (mainly the hydrazine, He and N2 tanks) 
from the Sun rays. All tanks were also wrapped with multi-layer insulation 
(MLI). Two of the four solar array panels used to shield the propulsion 
Fig. 12 View of tanks of the 
Propulsion module vs Service 
module and solar panels 
(fixed dorsal and deployed 
lateral)
Exp Astron 
Fig. 13 Units inside the 
Service Module 
module from the Sun rays are canted by 22◦ in order both to improve their 
energy collecting efficiency as well as to improve their heat radiation capability 
towards free space, at least during portions of the Moon orbit. 
In Figs. 13 and 14, the radiating surfaces are green-colored, the contact areas 
are in red. To improve the thermal conductivity we used a thermal filler CHO-THERM 
1671 throughout. To thermally isolate units from the baseplate, we 
used thermal washers with low thermal conductivity values. 
This first optimization resulted in absorptivity/emissivity values pictorially 
shown in Figs. 15, 16, and 17. We have also used four thermal straps (Amoco 
P100 Carbon fiber. Radius = 5 mm, length = 20 mm) to connect solar panel 
Y+ to service module faces Z+ and Z− (for the axes see Fig. 11). The straps 
are placed inside the beams that link the service module to the solar panel. 
It was indeed necessary to lower the temperature of Service module to 
bring a few critical units (e.g., the high sensitivity accelerometer) within their 
specified operating temperature range. Besides, we found necessary to lower 
the temperature of the face Z+, facing the payload face Z−, to reduce the heat 
flux. We thus achieved a doubly positive result: a strong reduction of the solar 
panel gradients and of the heat flux towards the payload module. 
Fig. 14 Units inside the 
Payload module
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Fig. 15 Absorptivity α 
Fig. 16 Emissivity ε 
Fig. 17 α/ε ratio
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Table 5 Coatings and 
materials eventually used for 
MAGIA thermal control 
optimization 
External surface Internal surface 
Payload: 
FACE X+ (5) OSR 146434 Black Paint 
FACE X− (2) OSR 146434 Black Paint 
FACE Y+ (3) OSR 146434 Black Paint 
FACE Y− (4) MLI 20 layers Black Paint 
FACE Z+ (1) OSR 146434 Black Paint 
FACE Z− (6) MLI 10 layers Black Paint 
Propulsion: 
Tank Hydrazine (20) MLI 10 layers 
Tank He (21) MLI 10 layers 
Tank N2 (22) MLI 10 layers 
4 long beam (18) Black Paint Black Paint 
8 short beam (19) Black Paint Black Paint 
Platform: 
FACE X+ (9) White Paint Black Paint 
FACE X− (8) White Paint Black Paint 
FACE Y+ (10) White Paint Black Paint 
FACE Y− (12) MLI 10 layers Black Paint 
FACE Z+ (7) Kapton, aluminized Black Paint 
FACE Z− (11) White Paint Black Paint 
Solar Y (13) Solar cell Black Paint 
Solar X+ (14,16) Solar cell Black Paint 
Solar X− (15,17) Solar cell Black Paint 
The same strategy was followed to meet the propulsion tanks temperature 
requirements. Indeed, we used two straps (length = 40 mm, radius = 5 mm) 
that, like the previous ones, are placed inside the beam linking the solar panel 
to the propulsion module structure. 
As a result of extensive trade-offs, materials and coatings used for internal 
and external surfaces are shown in Table 5. The simulation results, relevant 
to the Moon-orbiting phase, show, in Figs. 18 and 19, that all equipment 
remain within the operating or storage temperature ranges, depending on their 
operative status. However, to achieve good results, it was necessary to use 
heaters in a selective way, consuming between 5 and 30 W DC power from 
the spacecraft bus. 
Fig. 18 External panels temperatures with Sun rays in the Y–Z plane
Exp Astron 
Fig. 19 External panels temperatures with the Sun rays hitting the spacecraft laterally (i.e, in the 
X–Z plane) 
Besides, very preliminary analyses showed that, during the transfer orbit, 
the temperatures go to the lower limits. This might require an increase of the 
DC power drain by heaters or else a further optimization of materials and 
coatings to also take into account the detail requirements of the few equipment 
that must operate also during the transfer orbit. 
7 Attitude and orbit determination and control 
The satellite must determine its attitude in three axes with an accuracy not 
worse than: 0.01◦ at 3 sigma. The following sensors are envisaged: 
– High accuracy star sensors: two pointing towards different directions. The 
intrinsic accuracy of the star sensor is of the order of: 0.01◦ 
– Sun sensors of medium accuracy. These sensor are mainly used in the safe 
mode and, if cooperating with the GPS receiver, supports the orbit resti-tution 
on board as an aid to implement autonomous or semi-autonomous 
navigation; 
– Three-axis rate gyros. These serve to stabilize the desired pointing direc-tion 
against disturbances 
The spacecraft attitude must be controlled with an accuracy better than 0.1◦ 
using the following actuators: 
– Reaction wheels in classical tetrahedral arrangement. Wheels, with a nom-inal 
torque capability of 20 mNm, will perform small but nearly continuous 
attitude adjustments around the c.o.g.
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– Cold-gas thrusters: used to perform wheels desaturation. Two quadruplets 
of thrusters are used, in the plane passing through the satellite c.o.m. 
Orbit control will be done using the hydrazine propulsion system. The main 
engine thrust vector orientation before thruster firing will be controlled using 
the attitude control reaction wheels, with the cold-gas propulsion system acting 
in back-up. 
Precise orbit determination will be done on ground utilizing the range and 
range-rate measurements at X-band performed in the context of a Radio 
Science experiment. However, as a back-up, the satellite orbit determination 
can be estimated on-board using an orbital propagator suitably initialized and 
updated. 
Furthermore, the satellite will carry an experiment aiming at assessing the 
usability of the GPS signals at very large distances from Earth for spacecraft 
localization and navigation purposes. 
A survey of sensors and actuators was performed and key results are 
reported here below: 
– Sun sensors: the AeroAstro coarse Sun Sensors seem a good choice for the 
lost-in-orbit and safe modes: these sensors are small, have a 120◦ full angle 
circular f.o.v; ±5◦ accuracy; no power drain; 10 g each. At least five units, 
maybe six, should be installed to guarantee the Sun visibility by at least 
one sensor in case of loss of pointing. 
– Star sensors: among the several devices present on the space market, the 
AeroAstro miniature Star Tracker seems the most interesting providing a 
±70 arcsec accuracy (±0.02◦), at a rate of 10◦/s at an update rate of 1 Hz; a 
catalogue of 600 stars of fourth-order magnitude; a power consumption of 
2 W, a mass of 0.42 kg. 
– Rate gyro: among all companies surveyed, two are the most interesting: 
Fizoptika, and Systron–Donner. Fizoptika offers a FOG type FG 035Q 
with excellent performance: a 250 g per axis; a 1 W power drain, and a 
0.1◦/hour bias stability; and a measurement range up to 100◦/s. Three such 
devices will consume 3W, with a mass of 0.75 kg, and a superb performance 
enabling to maintain the satellite attitude using an orbit propagator and the 
gyro package. Thus, the need for a second star sensor would be confined to 
the operation of the high resolution camera. The type QRS11 of Systron– 
Donner is a Coriolis-based space-qualified rate gyro with a weight of 60 g, 
0.4 W power drain; a measurement range of up to 100◦/s. However, it has 
a short-term stability of 0.01◦/s (36◦/h) which is too much to support open 
loop attitude control in eclipse without the aid of a star sensor and reaction 
wheels; 
– Reaction wheels: among all companies surveyed the SSTL microwheel 
10SP-M seems a good alternative, with a 1 kg mass, 5 W power drain at 
peak torque and 0.7 W at constant speed. The 0.42 Nms momentum will, 
however, require more frequent desaturations than initially envisaged.
Exp Astron 
8 The subsatellite 
Unlike previous gravitometric experiments, based on very simple subsatellites 
in free fall around the Moon, MAGIA aims at achieving a much better resolu-tion 
of the Moon gravity field. To this end, MAGIA envisages two extremely 
sensitive accelerometers, one on board the mother satellite and one inside 
the releasable subsatellite, whose purpose is the removal of non gravitational 
external forces acting on the bodies. The local gravity is measured by the 
Doppler change, in an S-band subsatellite-to-mother-satellite l.o.s radiolink. 
The S-band radiolink will have a low-power transmitter on board the subsatel-lite 
and a receiver on board the mother satellite. Since the subsatellite will not 
have any device for attitude control, the S-band antenna will be essentially 
omnidirectional, implemented with six crossed dipoles. The accelerometer 
puts severe requirements on the attitude knowledge, power consumption and 
thermal control of the subsatellite, therefore its design constitutes a “project 
within the project” which was only initially tackled. 
The cube-like subsatellite will be housed in a box-shaped parallelepiped 
located in the lower part of the propulsion module. A lid will protect it during 
orbit transfer and the first three months of operation in the nominal Moon 
orbit and will be opened before the subsatellite release which will be done by 
sliding it on two pairs of rails. The subsatellite power subsystem is a critical 
issue. All six sides of the cube will be covered with GaAs high efficiency solar 
cells: the baseline dimensions, about 0.1 m2 area per panel, will produce—at 
normal incidence in sunlight—about 27 W, at a bus voltage around 16 V. A Li-ion 
battery is foreseen (e.g. type Sanyo 18650) in a 4S3P configuration (12 cells 
in total) to achieve a less-than 30% d.o.d. over one half of the orbit period. 
At 12 orbits/day and 6 months of projected maximum lifetime the battery 
would be subjected to 2,160 charge–discharge cycles, which is a fairly modest 
requirements for today’s Li-ion batteries. A Direct Energy Transfer bus was 
baselined due to its simplicity and effectiveness. 
The subsatellite thermal control must restrain the temperature differential 
between the subsatellite outer skin and the Accelerometer for which a target 
temperature interface range of T-amb ±12◦ is aimed at. To obtain this result, 
the cube-like body must carry a white-painted area, through which to radiate 
the dissipated heat. We have used four carbon straps (5 cm × 11 cm) to 
improve the heat conduction from the accelerometer to the radiating strips. 
Besides, all other internal components are isolated from the cube-like body by 
means of thermal washers. A MLI with 5 layer is placed inside the body to 
further thermally decouple the electronics from the subsatellite outer surfaces. 
To improve the thermal situation during eclipses, we will use four heaters. The 
analyses have shown that with this design, the accelerometer remains in the 
range of ±12◦C, while the solar cells stay in a range of +110/−90◦C.
Exp Astron 
9 Communications 
Besides the conventional S-band communications S/S for TTC purposes, the 
spacecraft carries: 
– an X-band high data rate transmission system to support high accuracy 
Earth-to-Moon ranging estimates—which is also a component of theMoon 
gravitometric experiment—and the downloading of on-board stored B/W 
and color images generated by two dedicated cameras for the geochemical 
experiments; To convey data over such a great distance, a 20-W TWTA 
and a mechanically repointable flat antenna with 30 cm sides was base-lined. 
The elevation over azimuth positioner, fixed to the lower edge of 
the antenna, allows to cover a 2π solid angle. This is necessary to estab-lish 
a link with Earth from any point of the Moon hemisphere visible 
from Earth. 
– an S-band low datarate system implementing a two-way intersatellite link 
(ISL) between the mother satellite and the released subsatellite. The ISL 
serves to remotely control the subsatellite-housed instruments (mainly the 
accelerometer) and to implement, via high resolution and accuracy range-rate 
measurements, the gravitometric experiment. Since the subsatellite 
has no attitude control devices it will move around the c.o.g. under the 
effect of external torque-generating forces. In order not to perturb the 
range-rate measurements accuracy, positioning the antenna phase center 
on the cube-like body center is highly preferred. Indeed, the S-band two-way 
transmission system puts some unconventional requirements to the 
antennas. On the mother satellite side a medium-directivity antenna is put 
on the bottom of the propulsion module looking in the direction opposite 
Table 6 MAGIA spacecraft tentative mass budget 
Major subsystem Mass, kg Remark 
Propulsion S/S 33 Dry 
Structure  Thermal 50.7 Truss-type 
OBDH + PSE 29 Conventional technology 
Power S/S 22.8 Incl panels, battery, harness 
ACS/S 13.2 RCS is part of Propulsion S/S 
Comms 22.5 X- and S-band 
Payloads 59.3 Incl P/L electronics 
Total dry 230.5 
Hydrazine 140 For orbit transfer mainly 
N2 5 For corrections and AC S/S 
Total propellant 145 
Total wet mass 375.5
Exp Astron 
to the velocity vector. The directivity is motivated by the need to reduce as 
far as possible multiple reflections (multipath) from the Moon surface— 
which is being overflown at an altitude of only 70 km—when establishing a 
radiolink with the subsatellite kept at a relative distance of about 100 km. 
10 Conclusions 
The scientific MAGIA Mission can be implemented using a medium-small 
satellite platform which requires clever design expedients but does not imply 
significant technology investments or risks. 
The spacecraft mass budget is given in Table 6 and meets overall constraints 
tied to the self-imposed propulsion Subsystem mass allocation. A few topics, 
partly related to the payloads, partly to the Mission as a whole, and partly 
to the spacecraft detail configuration and performance, need, nevertheless, 
refinements and deeper analyses.

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MAGIA Satellite Design for Lunar Gravity and Imaging Missions

  • 1. Exp Astron DOI 10.1007/s10686-010-9209-y REVIEW ARTICLE Mission-constrained design drivers and technical solutions for the MAGIA satellite Giorgio Perrotta · M. Stipa · D. Silvi · S. Coltellacci · G. Curti · G. Colonna · T. Formica · V. Casali · T. Fossati · F. Di Matteo · M. Zelli · M. Rinaldi · L. Ansalone · A. Di Salvo Received: 8 April 2010 / Accepted: 23 November 2010 © Springer Science+Business Media B.V. 2010 Abstract The Mission MAGIA (Missione Altimetrica Geofisica GeochImica lunAre) was proposed in the framework of the “Bando per Piccole Missioni” of ASI (Italian Space Agency) in 2007. The mission was selected for a phase A study by ASI on February 7th 2008. The tight budget allocation, combined with quite ambitious scientific objectives, set challenging requirements for the satellite design. The paper gives a fast overview of the payloads complement and of the mission-constrained design drivers, including cost minimization, risk reduction, and AIT flexibility. The spacecraft architecture is then outlined, along with an overview of the key subsystems and trade-offs. Some details are given of a Moon gravitometric experiment based on a mother–daughter satellite configuration with the daughter being a subsatellite released from the MAGIA satellite and intended to circle the Moon at a very low altitude. Budgets are appended at the end of the paper showing the key study results. Keywords MAGIA · Lunar orbiter · Satellite design · Subsatellite · Moon orbiter · Spacecraft subsystems · Spacecraft modeling · Satellite trade-offs · Propulsion design · Thermo-structural design · Power subsystem design · Optical experiments accommodation · RF experiments · Particle experiments accommodation · Moon-orbiter to Earth communications · Ranging · Gravitometric experiment G. Perrotta (B) · M. Stipa · D. Silvi · S. Coltellacci · G. Curti · G. Colonna · T. Formica · V. Casali · T. Fossati · F. Di Matteo · M. Zelli · M. Rinaldi · L. Ansalone SpaceSys, Via Latina 293, Rome, Italy e-mail: giorgio.perrotta@spacesys.eu A. Di Salvo Rheinmetall Italia, Rome, Italy
  • 2. Exp Astron Fig. 1 Key elements of the MAGIA Mission 1 MAGIA mission The MAGIA mission, whose key elements are shown in Fig. 1, has the following scientific objectives: – Detailed study of the internal structure of the Moon through its gravity; – Study of the polar and subpolar regions in terms of their morphology and mineralogy; – Study of the lunar exosphere and radioactive environment; The mission intended also to contribute to the fundamental physics via mea-surements of the gravitational redshift, and to perform test in view of the second-generation lunar laser ranging. The scientific mission was implemented with a suite of instruments and experiments as shown in Table 1. A total payload mass plus control electronics, thermal control and harness of less than 60 kg results, which is fairly credible since the most massive units Table 1 Payload complement to accomplish the scientific mission Instrument Acronym Mass (kg) Spectrometer context camera CAM-SIR 11 High resolution camera CARISMA 4 Radar altimeter and radiometer RAR 9 Gravitometric experiment dual accelerometer ISA 6.1 (+6.1 in subsatellite) Neutral particle detector ALENA 1 Particles spectrometer RADIO 0.3 (est.) CCR array VESPUCCI 3 CCR-MoonLight MoonLight-P 1.2 Radio science Radio science X- and S-band RF links
  • 3. Exp Astron Table 2 Orbit parameters for the lunar mapping orbit Lunar mapping orbit Semi-major axis 1,838 km Eccentricity 0.00675 Inclination 89.99 Argument of perigee 270◦ Orbital period 2 h are already existing or are derived by similarity to already-flown ones. With the exception of the Radar Altimeter and Radiometer and the MAGIA-borne accelerometer (the other accelerometer is installed on board the releaseable subsatellite) all instruments are housed in a thermally controlled module mechanically decoupled from the rest of the spacecraft. The Earth–Moon transfer is a dimensioning space segment factor due to the propulsion requirements.Different lunar transfers were analyzed including Hohmann-like and variants of the Weak Stability Boundary trajectories. A Hohmann transfer was selected for its simplicity and short time duration. The two launchers taken into consideration, as requested by the Customer, are Vega and Soyuz/Fregat, which represent European small and medium class options in terms of capability and cost. The Soyuz/Fregat launcher resulted to be fully compatible with the mission and transfer requirements and was therefore chosen, allowing a direct lunar injection, while minimizing the propellant mass to be embarked. A circularization maneuver around the Moon, to insert the spacecraft into the operational orbit, is required by lowering the orbit altitude with respect to the arrival conditions. A polar frozen low lunar orbit (LLO) was selected for a preliminary characterization from an operational point of view (e.g., lunar coverage, ground visibility etc.); the orbital parameters are shown in Table 2. An uncontrolled LLO, leaving the orbital plane essentially unchanged in an inertial frame, allows in principle a complete coverage of the lunar surface during a sidereal month. TheMoon advances about 15◦/day along its orbit, and within this time span, a satellite injected on a 100 km orbit completes about 12 orbits around the Moon. As a consequence, the angular separation between two subsequent orbits in a frame rotating with the Moon is of the order of 1◦. The maximum duration of spacecraft routine solar eclipses lasts about 45 min, roughly corresponding to 40% of the orbital period; total lunar eclipses represent the worst-case period for the spacecraft without sunlight. Two distinct mission phases are foreseen: the first devoted to lunar mapping and imaging and the second to the gravity experiment. Two slightly different Table 3 Orbital parameters for the gravity experiment Gravimetric experiment orbit Semi-major axis 1,798 km Eccentricity 0.00675 Inclination 93.00 Argument of perigee 270◦ Orbital period 2 h
  • 4. Exp Astron Table 4 Earth–Moon transfer velocity increments requirement Maneuver (s) V (km/s) LOI (Hohmann transfer) 0.8 Lunar imaging phase orbital control 0.070 Orbital transfer 0.093 Safety margin (+5%) 0.050 Total 1.012 nominal orbits have been respectively selected for the two phases. For the 6 months of mapping and imaging, it is highly desirable to have a polar orbit, since it guarantees the best coverage of the entire lunar surface. The experiment requires that the satellite altitude be maintained within a range of 100 ± 30 km. Therefore, orbital correction maneuvers are preliminary planned every 40 days to restore the eccentricity to its nominal value. Since the duration of this mission phase is fixed at 6 months, five correction maneuvers are needed. Each maneuver consists of two burns for a total of 14 m/s. The total Delta-V necessary for maintaining the orbit inside the nominal box for this phase is then 70 m/s. At the end of the lunar mapping phase, the spacecraft must be transferred to the gravimetric nominal orbit (Table 3), by changing orbit semi-major axis and inclination, required to cope with scientific experiment requirements. The latter maneuver, to achieve an inclination change of about 3◦, is the most expensive, requiring a Delta-V of about 85 m/s; a total Delta-V of 93 m/s is estimated for the overall orbital transfer, including the semi-major axis trimming. The orbit control strategy during the gravity experiment phase is compli-cated by the presence of a releasable subsatellite, which has no maneuvering capability. The gravitometric experiment requires at least 1 month of opera-tions, at a mean radius of 1,798 km, though a longer mission duration of up to 3 months was considered. The total velocity increment for the overall mission that must be provided by the spacecraft propulsion system, is summarized in Table 4. Let us stress that the first maneuver to inject the spacecraft into the Lunar Transfer Orbit is assumed to be performed by the launcher. To accomplish all complex mission maneuvers, a double propulsion system was baselined, including both a hydrazine system for spacecraft orbit transfer and reorientation, and a cold-gas one for attitude control tasks. 2 Spacecraft design approach The spacecraft architecture consists of three functionally, physically and tech-nologically independent assemblies: Propulsion module; Platform (or Service) module; Payload module
  • 5. Exp Astron The sum of these three modules can be enveloped by a parallelepiped with dimensions: 700 × 1,400 × 2,050 mm. The propulsion module hosts both a hydrazine-based main propulsion system and a cold-gas based auxiliary propulsion system. It also hosts the subsatellite along with its release system. The platform (or Service) module hosts the majority of the electronic subsystems, with the exception of the star sensors which are integrated in the payload module and of the X-band high-gain antenna (HGA) which is accommodated on the upper part of the payload module as well. The payload module accommodates most payloads—with the exception of the radar payload, a high sensitivity accelerometer (ISA), and a high stability clock. The payload module has been carefully designed to meet the tight operating temperature limits of the payload equipments. The spacecraft design was conceived to be largely built around previously qualified items, when available, or on COTS further subjected to delta-tests when their heritage or status did not meet minimum quality levels considered adequate within the cost limitations of the Programme. A prototype approach was also baselined, since most units were derived from already-flown ones, with the exception of new instruments that had to be subjected to a qualification campaign with somewhat reduced severity levels, however. 3 Spacecraft structure The spacecraft structure encompasses all three modules using different tech-nologies matched to the operational requirements of each. More specifically, the propulsion module, shown in Fig. 2, is an open-truss structure of carbon- Fig. 2 Propulsion module, tanks and subsatellite
  • 6. Exp Astron Fig. 3 Service module, interior fiber-reinforced plastic (CFRP) tubular elements connected with high-strength aluminum alloy joints. It carries the tanks of the propulsion system (mono-methyl hydrazine fuel and a pressurant) and the Attitude Orbit Control Subsystem thrusters, the propulsion system harness (valves, tubes etc.) and the subsatellite deployer (a closed, box-shaped, aluminum alloy sandwich structure carrying the subsatel-lite for the gravitometric experiment). The propulsion module is connected to the service module by high-strength screws permitting a smooth transfer of loads. The service module, shown in Fig. 3, is a closed aluminum alloy sandwich structure with high-strength aluminum frame carrying longitudinal and lateral loads. The lateral sand-wich panels are integrated with aluminum-machined plates with stiffeners to adequately support the electronic boxes accommodated on the panel which contribute to the overall satellite stiffness. The interface with the propulsion module and the top panel—which interfaces with the payload module—are thick core sandwich panels to meet the requirements of dimensional stability. The Service module carries most of the electronic boxes including the Radar Fig. 4 Payload module, interior
  • 7. Exp Astron Fig. 5 MAGIA spacecraft structure in three modules: launch configuration payload; and—along with the propulsion module structure—supports the large lightweight sandwich solar panels via a truss structure made of small-section CFRP tubular elements. The payload module, illustrated in Fig. 4, is a closed box made by sandwich structural panels carrying optical payloads and star trackers. The base panel is a dedicated optical bench in order to have a common stiff interface and to permit the correct alignment between different instruments optics and star sensors. The mechanical connection with the service module is designed in order to reduce the thermo-elastic deformations coming from the orbital thermal loads. The MAGIA satellite, in both its launch and in-orbit configurations, is shown in Figs. 5 and 6. A detailed Finite Element Model was developed to perform both static and dynamic analyses of each module and of the full spacecraft. A modal frequencies analysis was performed along the X-axis, as themost representative, to obtainmodal participation mass factors. The results indicate compliance with the launcher (Fregat/Soyuz) frequency (20 Hz on lateral axes). Besides, a rapid overview of the modal analysis enabled to pinpoint that the lower side of the elements of the propulsion module truss are the more stressed elements. Detailed static analyses were then performed on Fig. 6 MAGIA spacecraft: in-orbit configuration with two solar panels deployed
  • 8. Exp Astron each module to better assess the structure criticalities. Several areas requiring local improvements were thus identified and characterized. 4 Propulsion subsystem Three design alternatives were considered: (a) Independent hydrazine and cold-gas (N2) propulsion systems. The pri-mary propulsion system operates in a pressurized mode, requiring a helium-filled pressurant tank; and a separate N2 auxiliary propulsion system operating in a blow-down mode, the N2 being contained, at high pressure, in a third tank; (b) A hydrazine/nitrogen propulsion system with two interconnected tanks, one containing hydrazine and the other compressed nitrogen acting as a pressurant for the hydrazine system while operating in a blow-down mode for the cold-gas, auxiliary, propulsion system; (c) An all-hydrazine propulsion system operating in a blow-down mode for both the primary and auxiliary propulsion system. Conservatively, the first configuration (a), shown in Fig. 7, with three tanks and two independent propulsion systems, was selected as a baseline, which is largely based on commercial, space-qualified components: tanks from N2 fill/drain valve pressure transducer filter pressure regulator pressure transducer relief valve thrusters thrusters Fig. 7 Pressurized hydrazine for orbit control (on the right); and cold nitrogen propulsion system, operating in a blow-down mode, (on the left) for attitude control
  • 9. Exp Astron PSI/ATK or ARDE’, hydrazine thrusters from EADS, valves and cold-gas thrusters from Moog or Encore. Since the orbital maneuvers require repointing and will be implemented piecewise, a commercial, qualified, thrust motor (EADS CHT 20) providing 20 N thrust is employed. About 140 kg of hydrazine will be stored in a quite large elliptical tank (type 80420-1 from ATK/PSI). A pressurized, helium-based, pressurant tank is used to keep high the motor Isp even when the Hydrazine tank will be almost depleted. The pressurant is contained in a titanium spherical tank (type 80202-1 from ATK/PSI) also hosted in the Propulsion module. The propellant tankage will be capable of providing the velocity increment of Table 3 for a satellite dry mass of 232 kg, which represented a target mass for the feasibility study phase. The cold-gas propulsion system is used for reaction wheels desaturation, as well as to support spacecraft reorientation pre-post hydrazine engine firing. The N2 tank (a PSI/ATK type 80345-1) is sized to accommodate 5 kg of N2 at high pressure, and will operate in a blow-down mode. The cold-gas space-qualified commercial thrusters will be in number of 8, in two quadruplets of four thrusters each. The thrusters will be characterized by a thrust in the 20- to 50-mN range and an Isp around 50 to 60 s. The thruster can be from Moog or other space-qualified microthrusters suppliers. The computed dry mass of the propulsion subsystems amounts to 33 kg, excluding the structure supporting the various components. 5 Power subsystem The configuration of the solar array is quite unconventional due to several reasons: the time evolution of the satellite orbit with respect to the Sun; the nadir-pointing satellite attitude in a Moon orbit; the payloads duty cycles; and the requirement for an unobstructed field of view for heat dissipation Fig. 8 Solar array geometry
  • 10. Exp Astron Fig. 9 Solar array concept by radiation. The solar array dimensions result from the combination of the above factors. During the study, several solar array geometries were analyzed, starting from that schematically shown in Fig. 8 which gave rise to many other variants, the last of which is conceptually shown in Fig. 9. The rationale for the configuration shown in Fig. 9 is the need for rejecting heat from the sides of the platform module which is densely populated with power dissipating electronic units while retaining the total solar array area and shape of the initial configuration. During launch, the in-orbit deployable panels will be restrained by means of releasable double clamps. Accordingly, there will be six identical solar panels each including 22 strings in parallel of 10 cells in series each, for a nominal voltage around 26 V at Tamb (1,320 cells in total). The solar array is thus composed of four body-fixed panels—two on the dorsal side and two lateral panels, canted at 22◦w.r.t. the vertical—and two in-orbit deployable panels. The fixed dorsal and lateral panels serve also to block the Sun rays from reaching the propulsion tanks; while the two in-orbit deployable panels, also canted by about 22◦ with respect to the local vertical, are deployed to allow the platform module sides to radiate heat towards free space. High-efficiency, triple-junction, GaAs cells with an efficiency of 28% will be used, with dimension of 80 × 40 mm and a space of 2 mm between any two adjacent cells. A lower cell efficiency of 26%—leading to a considerable cost saving—might become feasible by reducing the satellite and payloads power demand. In the baseline each string of the Solar Array will have 10 cells (26 Voc at Tamb and 31.5 Voc at −75◦C, BOL) and 22 strings in parallel. In total, there will be six panels all identical with dimensions of 924 × 820 mm. A simulator has been developed in Matlab to analyze, as indicated in Fig. 10, the generation of electric power from solar panels depending on the
  • 11. Exp Astron Fig. 10 A Matlab simulated analysis of the generation of electric power from solar panels position along the Moon orbit and the Sun vector incidence angle. The power consumption along the orbit is also simulated; therefore the charge–discharge of the battery is taken into account. The following relevant parameters were computed: – Average power generation = 622.6W – Maximum power generation = 933.9 (lat 0◦/long 0◦) The battery is based on a Li-ion technology which has achieved a fair maturity stage. The battery is sized for a nameplate capacity of 1,000 Wh; it is planned to drain energy from the battery up to a d.o.d. between 20% and 25%, although the technology could well support d.o.d larger than this throughout the about 3,300 charge–discharge cycles corresponding to a nom-inal 9 months mission duration. The Electric Power management implements a semi-regulated bus architecture. In sunlight, a peak power tracking logic is active to better adapt the variable load to the voltage–current characteristics of the solar array. The battery charge circuit adapts the semi-regulated bus to the voltage–current regime required by the Li-ion battery. In eclipse the bus is fed by the unregulated voltage from the discharging battery. 6 Thermal control subsystem The first priority was to optimize the spacecraft thermal control during the nominal Moon mission. Several iterations were performed: the approach finally adopted was also capable of supporting the spacecraft operations in its parking orbit and throughout the Earth–Moon transfer phase. The basic approach was to strive to achieve average Payload module temperatures lower
  • 12. Exp Astron Fig. 11 View of body-fixed and in-orbit deployed solar panels vs lateral Service module surfaces than those of the Service module, while keeping the propulsion subsystem components well within their safe operating temperature range. To achieve this result we have maximized the radiative surfaces of the payload module and minimized the thermal exchange between payload and platform modules. To maintain the Service module temperatures within the hosted equipments allowed temperatures, we have chosen to in-orbit deploy two of the six solar panels in order to maximize the radiation into free space of the two side panels of the Service module (panels 8 and 9 of Figs. 11 and 12). Besides, we have positioned four of the six solar panels in such a way to shield the propulsion components (mainly the hydrazine, He and N2 tanks) from the Sun rays. All tanks were also wrapped with multi-layer insulation (MLI). Two of the four solar array panels used to shield the propulsion Fig. 12 View of tanks of the Propulsion module vs Service module and solar panels (fixed dorsal and deployed lateral)
  • 13. Exp Astron Fig. 13 Units inside the Service Module module from the Sun rays are canted by 22◦ in order both to improve their energy collecting efficiency as well as to improve their heat radiation capability towards free space, at least during portions of the Moon orbit. In Figs. 13 and 14, the radiating surfaces are green-colored, the contact areas are in red. To improve the thermal conductivity we used a thermal filler CHO-THERM 1671 throughout. To thermally isolate units from the baseplate, we used thermal washers with low thermal conductivity values. This first optimization resulted in absorptivity/emissivity values pictorially shown in Figs. 15, 16, and 17. We have also used four thermal straps (Amoco P100 Carbon fiber. Radius = 5 mm, length = 20 mm) to connect solar panel Y+ to service module faces Z+ and Z− (for the axes see Fig. 11). The straps are placed inside the beams that link the service module to the solar panel. It was indeed necessary to lower the temperature of Service module to bring a few critical units (e.g., the high sensitivity accelerometer) within their specified operating temperature range. Besides, we found necessary to lower the temperature of the face Z+, facing the payload face Z−, to reduce the heat flux. We thus achieved a doubly positive result: a strong reduction of the solar panel gradients and of the heat flux towards the payload module. Fig. 14 Units inside the Payload module
  • 14. Exp Astron Fig. 15 Absorptivity α Fig. 16 Emissivity ε Fig. 17 α/ε ratio
  • 15. Exp Astron Table 5 Coatings and materials eventually used for MAGIA thermal control optimization External surface Internal surface Payload: FACE X+ (5) OSR 146434 Black Paint FACE X− (2) OSR 146434 Black Paint FACE Y+ (3) OSR 146434 Black Paint FACE Y− (4) MLI 20 layers Black Paint FACE Z+ (1) OSR 146434 Black Paint FACE Z− (6) MLI 10 layers Black Paint Propulsion: Tank Hydrazine (20) MLI 10 layers Tank He (21) MLI 10 layers Tank N2 (22) MLI 10 layers 4 long beam (18) Black Paint Black Paint 8 short beam (19) Black Paint Black Paint Platform: FACE X+ (9) White Paint Black Paint FACE X− (8) White Paint Black Paint FACE Y+ (10) White Paint Black Paint FACE Y− (12) MLI 10 layers Black Paint FACE Z+ (7) Kapton, aluminized Black Paint FACE Z− (11) White Paint Black Paint Solar Y (13) Solar cell Black Paint Solar X+ (14,16) Solar cell Black Paint Solar X− (15,17) Solar cell Black Paint The same strategy was followed to meet the propulsion tanks temperature requirements. Indeed, we used two straps (length = 40 mm, radius = 5 mm) that, like the previous ones, are placed inside the beam linking the solar panel to the propulsion module structure. As a result of extensive trade-offs, materials and coatings used for internal and external surfaces are shown in Table 5. The simulation results, relevant to the Moon-orbiting phase, show, in Figs. 18 and 19, that all equipment remain within the operating or storage temperature ranges, depending on their operative status. However, to achieve good results, it was necessary to use heaters in a selective way, consuming between 5 and 30 W DC power from the spacecraft bus. Fig. 18 External panels temperatures with Sun rays in the Y–Z plane
  • 16. Exp Astron Fig. 19 External panels temperatures with the Sun rays hitting the spacecraft laterally (i.e, in the X–Z plane) Besides, very preliminary analyses showed that, during the transfer orbit, the temperatures go to the lower limits. This might require an increase of the DC power drain by heaters or else a further optimization of materials and coatings to also take into account the detail requirements of the few equipment that must operate also during the transfer orbit. 7 Attitude and orbit determination and control The satellite must determine its attitude in three axes with an accuracy not worse than: 0.01◦ at 3 sigma. The following sensors are envisaged: – High accuracy star sensors: two pointing towards different directions. The intrinsic accuracy of the star sensor is of the order of: 0.01◦ – Sun sensors of medium accuracy. These sensor are mainly used in the safe mode and, if cooperating with the GPS receiver, supports the orbit resti-tution on board as an aid to implement autonomous or semi-autonomous navigation; – Three-axis rate gyros. These serve to stabilize the desired pointing direc-tion against disturbances The spacecraft attitude must be controlled with an accuracy better than 0.1◦ using the following actuators: – Reaction wheels in classical tetrahedral arrangement. Wheels, with a nom-inal torque capability of 20 mNm, will perform small but nearly continuous attitude adjustments around the c.o.g.
  • 17. Exp Astron – Cold-gas thrusters: used to perform wheels desaturation. Two quadruplets of thrusters are used, in the plane passing through the satellite c.o.m. Orbit control will be done using the hydrazine propulsion system. The main engine thrust vector orientation before thruster firing will be controlled using the attitude control reaction wheels, with the cold-gas propulsion system acting in back-up. Precise orbit determination will be done on ground utilizing the range and range-rate measurements at X-band performed in the context of a Radio Science experiment. However, as a back-up, the satellite orbit determination can be estimated on-board using an orbital propagator suitably initialized and updated. Furthermore, the satellite will carry an experiment aiming at assessing the usability of the GPS signals at very large distances from Earth for spacecraft localization and navigation purposes. A survey of sensors and actuators was performed and key results are reported here below: – Sun sensors: the AeroAstro coarse Sun Sensors seem a good choice for the lost-in-orbit and safe modes: these sensors are small, have a 120◦ full angle circular f.o.v; ±5◦ accuracy; no power drain; 10 g each. At least five units, maybe six, should be installed to guarantee the Sun visibility by at least one sensor in case of loss of pointing. – Star sensors: among the several devices present on the space market, the AeroAstro miniature Star Tracker seems the most interesting providing a ±70 arcsec accuracy (±0.02◦), at a rate of 10◦/s at an update rate of 1 Hz; a catalogue of 600 stars of fourth-order magnitude; a power consumption of 2 W, a mass of 0.42 kg. – Rate gyro: among all companies surveyed, two are the most interesting: Fizoptika, and Systron–Donner. Fizoptika offers a FOG type FG 035Q with excellent performance: a 250 g per axis; a 1 W power drain, and a 0.1◦/hour bias stability; and a measurement range up to 100◦/s. Three such devices will consume 3W, with a mass of 0.75 kg, and a superb performance enabling to maintain the satellite attitude using an orbit propagator and the gyro package. Thus, the need for a second star sensor would be confined to the operation of the high resolution camera. The type QRS11 of Systron– Donner is a Coriolis-based space-qualified rate gyro with a weight of 60 g, 0.4 W power drain; a measurement range of up to 100◦/s. However, it has a short-term stability of 0.01◦/s (36◦/h) which is too much to support open loop attitude control in eclipse without the aid of a star sensor and reaction wheels; – Reaction wheels: among all companies surveyed the SSTL microwheel 10SP-M seems a good alternative, with a 1 kg mass, 5 W power drain at peak torque and 0.7 W at constant speed. The 0.42 Nms momentum will, however, require more frequent desaturations than initially envisaged.
  • 18. Exp Astron 8 The subsatellite Unlike previous gravitometric experiments, based on very simple subsatellites in free fall around the Moon, MAGIA aims at achieving a much better resolu-tion of the Moon gravity field. To this end, MAGIA envisages two extremely sensitive accelerometers, one on board the mother satellite and one inside the releasable subsatellite, whose purpose is the removal of non gravitational external forces acting on the bodies. The local gravity is measured by the Doppler change, in an S-band subsatellite-to-mother-satellite l.o.s radiolink. The S-band radiolink will have a low-power transmitter on board the subsatel-lite and a receiver on board the mother satellite. Since the subsatellite will not have any device for attitude control, the S-band antenna will be essentially omnidirectional, implemented with six crossed dipoles. The accelerometer puts severe requirements on the attitude knowledge, power consumption and thermal control of the subsatellite, therefore its design constitutes a “project within the project” which was only initially tackled. The cube-like subsatellite will be housed in a box-shaped parallelepiped located in the lower part of the propulsion module. A lid will protect it during orbit transfer and the first three months of operation in the nominal Moon orbit and will be opened before the subsatellite release which will be done by sliding it on two pairs of rails. The subsatellite power subsystem is a critical issue. All six sides of the cube will be covered with GaAs high efficiency solar cells: the baseline dimensions, about 0.1 m2 area per panel, will produce—at normal incidence in sunlight—about 27 W, at a bus voltage around 16 V. A Li-ion battery is foreseen (e.g. type Sanyo 18650) in a 4S3P configuration (12 cells in total) to achieve a less-than 30% d.o.d. over one half of the orbit period. At 12 orbits/day and 6 months of projected maximum lifetime the battery would be subjected to 2,160 charge–discharge cycles, which is a fairly modest requirements for today’s Li-ion batteries. A Direct Energy Transfer bus was baselined due to its simplicity and effectiveness. The subsatellite thermal control must restrain the temperature differential between the subsatellite outer skin and the Accelerometer for which a target temperature interface range of T-amb ±12◦ is aimed at. To obtain this result, the cube-like body must carry a white-painted area, through which to radiate the dissipated heat. We have used four carbon straps (5 cm × 11 cm) to improve the heat conduction from the accelerometer to the radiating strips. Besides, all other internal components are isolated from the cube-like body by means of thermal washers. A MLI with 5 layer is placed inside the body to further thermally decouple the electronics from the subsatellite outer surfaces. To improve the thermal situation during eclipses, we will use four heaters. The analyses have shown that with this design, the accelerometer remains in the range of ±12◦C, while the solar cells stay in a range of +110/−90◦C.
  • 19. Exp Astron 9 Communications Besides the conventional S-band communications S/S for TTC purposes, the spacecraft carries: – an X-band high data rate transmission system to support high accuracy Earth-to-Moon ranging estimates—which is also a component of theMoon gravitometric experiment—and the downloading of on-board stored B/W and color images generated by two dedicated cameras for the geochemical experiments; To convey data over such a great distance, a 20-W TWTA and a mechanically repointable flat antenna with 30 cm sides was base-lined. The elevation over azimuth positioner, fixed to the lower edge of the antenna, allows to cover a 2π solid angle. This is necessary to estab-lish a link with Earth from any point of the Moon hemisphere visible from Earth. – an S-band low datarate system implementing a two-way intersatellite link (ISL) between the mother satellite and the released subsatellite. The ISL serves to remotely control the subsatellite-housed instruments (mainly the accelerometer) and to implement, via high resolution and accuracy range-rate measurements, the gravitometric experiment. Since the subsatellite has no attitude control devices it will move around the c.o.g. under the effect of external torque-generating forces. In order not to perturb the range-rate measurements accuracy, positioning the antenna phase center on the cube-like body center is highly preferred. Indeed, the S-band two-way transmission system puts some unconventional requirements to the antennas. On the mother satellite side a medium-directivity antenna is put on the bottom of the propulsion module looking in the direction opposite Table 6 MAGIA spacecraft tentative mass budget Major subsystem Mass, kg Remark Propulsion S/S 33 Dry Structure Thermal 50.7 Truss-type OBDH + PSE 29 Conventional technology Power S/S 22.8 Incl panels, battery, harness ACS/S 13.2 RCS is part of Propulsion S/S Comms 22.5 X- and S-band Payloads 59.3 Incl P/L electronics Total dry 230.5 Hydrazine 140 For orbit transfer mainly N2 5 For corrections and AC S/S Total propellant 145 Total wet mass 375.5
  • 20. Exp Astron to the velocity vector. The directivity is motivated by the need to reduce as far as possible multiple reflections (multipath) from the Moon surface— which is being overflown at an altitude of only 70 km—when establishing a radiolink with the subsatellite kept at a relative distance of about 100 km. 10 Conclusions The scientific MAGIA Mission can be implemented using a medium-small satellite platform which requires clever design expedients but does not imply significant technology investments or risks. The spacecraft mass budget is given in Table 6 and meets overall constraints tied to the self-imposed propulsion Subsystem mass allocation. A few topics, partly related to the payloads, partly to the Mission as a whole, and partly to the spacecraft detail configuration and performance, need, nevertheless, refinements and deeper analyses.