The document summarizes research conducted during the spring 2006 semester to continue work from the previous summer on modifying a kappa goniometer. Goals included determining angle precision for each axis, designing and fabricating adapter plates to mount new stepper motors, presenting a poster, and deriving rotation matrices. Angle precision for each axis was measured. Adapter plate designs were completed and fabrication began. Installation and further work will continue over the summer. Derivation of rotation matrices was reviewed but not completed due to time constraints. An abstract was accepted for presentation but later withdrawn due to lack of funding.
Advances in Satellite Conjunction Analysis with OR.A.SIAntonios Arkas
As the number of the manmade objects increases in space, so does the interest and the research effort on the critical and interesting issues of collision probability assessment and decision making for cases of close approach events.
New interesting theoretical analysis has been recently published by Michael Scott Balch, Ryan Martin and Scott Ferson, on the mathematical subtleties connecting the phenomenon of probability dilution with the fundamental difference between frequentist and Bayesian approaches in statistical inference, and inspirational work has been presented from CNES by F.Laporte through his papers which describe JAC software and his approach to covariance realism.
OR.A.SI, the Flight Dynamics software for GEO and LEO that I’ve been developing for the last 17 years in C++, has been endowed since 2012 with early close approach detection based on the TLE files released from JSpOC, calculation of collision probability (S.Alfano method) based on the secondary object details found in CDM (Conjunction Data Message), Middle Man features (processing and analysis of CDM batches released for the same event) and evasive manoeuvre computation.
This new presentation exposes the latest enhancements, of the already powerful OR.A.SI routines, with all these new exiting advances. In brief the contents of the attached presentation are the following:
1. CASI (Close Approach Simulator) – Development of an analytic simulator which produces close approach events for whatever regime (LEO, MEO and GEO), and renders the probabilistic study and analysis of such events independent from the need of a CDM.
2. Computation and visualization of the probability dilution area in the two dimensional space of Kp and Ks scale factors used for the computation of the scaled probability of collision.
3. Computation of the scale factor interval in order to increase covariance realism, based on hypothesis testing with the Kolmogorov-Smirnov test (F.Laporte - CNES).
4. Computation of the effect of evasive manoeuvres, parametrized in time and velocity increment, on the scaled probability of collision.
I welcome you to the subtle but beautiful world of probabilities and inferential statistics or else how we managed to harness our ignorance to precise science!
Advances in Satellite Conjunction Analysis with OR.A.SIAntonios Arkas
As the number of the manmade objects increases in space, so does the interest and the research effort on the critical and interesting issues of collision probability assessment and decision making for cases of close approach events.
New interesting theoretical analysis has been recently published by Michael Scott Balch, Ryan Martin and Scott Ferson, on the mathematical subtleties connecting the phenomenon of probability dilution with the fundamental difference between frequentist and Bayesian approaches in statistical inference, and inspirational work has been presented from CNES by F.Laporte through his papers which describe JAC software and his approach to covariance realism.
OR.A.SI, the Flight Dynamics software for GEO and LEO that I’ve been developing for the last 17 years in C++, has been endowed since 2012 with early close approach detection based on the TLE files released from JSpOC, calculation of collision probability (S.Alfano method) based on the secondary object details found in CDM (Conjunction Data Message), Middle Man features (processing and analysis of CDM batches released for the same event) and evasive manoeuvre computation.
This new presentation exposes the latest enhancements, of the already powerful OR.A.SI routines, with all these new exiting advances. In brief the contents of the attached presentation are the following:
1. CASI (Close Approach Simulator) – Development of an analytic simulator which produces close approach events for whatever regime (LEO, MEO and GEO), and renders the probabilistic study and analysis of such events independent from the need of a CDM.
2. Computation and visualization of the probability dilution area in the two dimensional space of Kp and Ks scale factors used for the computation of the scaled probability of collision.
3. Computation of the scale factor interval in order to increase covariance realism, based on hypothesis testing with the Kolmogorov-Smirnov test (F.Laporte - CNES).
4. Computation of the effect of evasive manoeuvres, parametrized in time and velocity increment, on the scaled probability of collision.
I welcome you to the subtle but beautiful world of probabilities and inferential statistics or else how we managed to harness our ignorance to precise science!
Real-Time Analysis of Streaming Synchotron Data: SCinet SC19 Technology Chall...Globus
This project, which involved streaming light source data from the SC19 show floor to Argonne’s Leadership Computing Facility (ALCF) outside Chicago, won the top prize at the inaugural SCinet Technology Challenge at SC19 in Denver, CO.
Gaussian Orbital Determination of 1943 AnterosMatthew Li
Paper detailing the theory, methods, calculations, and results regarding the investigation of the orbit of asteroid 1943 Anteros through approximately six weeks of celestial observation and data collection.
A Study of Non-Gaussian Error Volumes and Nonlinear Uncertainty Propagation f...Justin Spurbeck
The ever-growing resident space object population poses a continual threat in that a hyper velocity impact is likely to be catastrophic to an active satellite. To avoid these scenarios, space operators compute a probability of collision metric for each potential conjunction. Uncertainty trends are studied in the conjunction plane and operational decisions to mitigate any high-risk situations are made based off this information. There are many methods of uncertainty propagation and probability of collision formulations and knowledge of their realism is required to maintain a sustainable space environment. Thus, this research studies the effect of Chan, Alfano, Foster, Gaussian mixture, and Monte Carlo probability of collision calculations and their correlation to uncertainty realism metrics. The linear, unscented transform, entropy-based, and Monte Carlo propagation techniques are utilized alongside the collision calculations and it is shown that there are important correlations any space operator should be aware of to support maintenance of a healthy spacecraft.
Real-Time Analysis of Streaming Synchotron Data: SCinet SC19 Technology Chall...Globus
This project, which involved streaming light source data from the SC19 show floor to Argonne’s Leadership Computing Facility (ALCF) outside Chicago, won the top prize at the inaugural SCinet Technology Challenge at SC19 in Denver, CO.
Gaussian Orbital Determination of 1943 AnterosMatthew Li
Paper detailing the theory, methods, calculations, and results regarding the investigation of the orbit of asteroid 1943 Anteros through approximately six weeks of celestial observation and data collection.
A Study of Non-Gaussian Error Volumes and Nonlinear Uncertainty Propagation f...Justin Spurbeck
The ever-growing resident space object population poses a continual threat in that a hyper velocity impact is likely to be catastrophic to an active satellite. To avoid these scenarios, space operators compute a probability of collision metric for each potential conjunction. Uncertainty trends are studied in the conjunction plane and operational decisions to mitigate any high-risk situations are made based off this information. There are many methods of uncertainty propagation and probability of collision formulations and knowledge of their realism is required to maintain a sustainable space environment. Thus, this research studies the effect of Chan, Alfano, Foster, Gaussian mixture, and Monte Carlo probability of collision calculations and their correlation to uncertainty realism metrics. The linear, unscented transform, entropy-based, and Monte Carlo propagation techniques are utilized alongside the collision calculations and it is shown that there are important correlations any space operator should be aware of to support maintenance of a healthy spacecraft.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
The SpaceDrive Project - First Results on EMDrive and Mach-Effect ThrustersSérgio Sacani
Propellantless propulsion is believed to be the best option for interstellar travel. However, photon rockets or solar sails have thrusts so low that maybe only nano-scaled spacecraft may reach the next star within our lifetime using very high-power laser beams. Following into the footsteps of earlier breakthrough propulsion programs, we are investigating different concepts based on non-classical/revolutionary propulsion ideas that claim to be at least an order of magnitude more efficient in producing thrust compared to photon rockets. Our intention is to develop an excellent research infrastructure to test new ideas and measure thrusts and/or artefacts with high confidence to determine if a concept works and if it does how to scale it up. At present, we are focusing on two possible revolutionary concepts: The EMDrive and the Mach-Effect Thruster. The first concept uses microwaves in a truncated cone-shaped cavity that is claimed to produce thrust. Although it is not clear on which theoretical basis this can work, several experimental tests have been reported in the literature, which warrants a closer examination. The second concept is believed to generate mass fluctuations in a piezo-crystal stack that creates non-zero time-averaged thrusts. Here we are reporting first results of our improved thrust balance as well as EMDrive and Mach-Effect thruster models. Special attention is given to the investigation and identification of error sources that cause false thrust signals. Our results show that the magnetic interaction from not sufficiently shielded cables or thrusters are a major factor that needs to be taken into account for proper μN thrust measurements for these type of devices.
Computational Estimation of Flow through the C-D Supersonic Nozzle and Impuls...IJMTST Journal
In this paper, CFD analysis of flow within, Convergent – Divergent rectangular super sonic nozzle and super sonic impulse turbine with partial admission have been performed. The analysis has been performed according to shape of a super sonic nozzle and length of axial clearance and the objective is to investigate the effect of nozzle-rotor interaction on turbine’s performance. It is found that nozzle-rotor interaction losses are largely dependent on axial clearance, which affects the flow within nozzle and the extent of flow expansion. Therefore selecting appropriate length of axial clearance can decrease nozzle-rotor interaction losses. The work is carried in two stages:1) Modeling and analysis of flow for rectangular convergent divergent super sonic nozzle. 2) Prediction of optimal axial gap between the nozzle and rotor blades by allowing the above nozzle flow. In the present work, using a finite volume commercial code, ANSYS FLUENT 14.5, carries out flow through the convergent divergent nozzle study. The nozzle geometry is modeled and grid is generated using ANSYS14.5 Software. Computational results are in good agreement with the experimental ones.
An investigation into helicopter rotor blade-vortex interaction. This interaction limits a helicopter’s performance, vibrates
the rotor and fuselage, fatigues the entire aircraft, and creates noise which can be heard for great
distances.
International Journal of Engineering Research and DevelopmentIJERD Editor
Electrical, Electronics and Computer Engineering,
Information Engineering and Technology,
Mechanical, Industrial and Manufacturing Engineering,
Automation and Mechatronics Engineering,
Material and Chemical Engineering,
Civil and Architecture Engineering,
Biotechnology and Bio Engineering,
Environmental Engineering,
Petroleum and Mining Engineering,
Marine and Agriculture engineering,
Aerospace Engineering.
Elliptic Fourier Descriptors in the Study of Cyclone Cloud Intensity PatternsCSCJournals
Cyclone cloud intensity analysis is conducted to study the evolution of a cyclone storm mainly using two approaches, namely: wind field analysis and pattern recognition. Of the pattern recognition based approaches , the Dvorak technique has been a pioneering effort which is widely used today. However, the Dvorak technique is subjective, as it relies on human judgment and is, therefore, error prone. Efforts have been described in the literature to automate the classification process. In this paper, we describe our efforts to perform a semi-automatic computer analysis of the cyclone cloud intensity evolution pattern which compares preprocessed visible (VIS) and enhanced infra-red (EIR) satellite images with the corresponding prototype Dvorak patterns using Elliptic Fourier Descriptors (EFD) and Principal Component Analysis (PCA) techniques. This novel approach is simple and intuitive and is robust to noise, and at the same time provides classification in cases where the cyclone exhibits fluctuations during its evolutionary cycle.
1. Introduction:
The reason for conducting research this semester was to follow up on research done
during the summer 2004 REU program. A list of goals was laid down at the start of the
semester, of which, most were met. These goals included:
1) Determination of angle precision for each of the four axes on the kappa
goniometer.
2) Design of adapter plates with allowance for backlash setting using pre-determined
gear ratios and stepper motors to mount to a kappa goniometer.
3) Review of these designs and prints with Gerry Becker, a UWM machinist, and
have him begin production and fabrication of these parts.
4) Install adapter plates, attach gears and stepper motors, and begin instrument
alignment
5) Author and present a poster to be given at the SRMS-5.
6) Derive rotational matricesfor existing four circle instrument. Do the same for a
five circle instrument using the future addition of a detector arm as the fifth axis
of rotation.
Investigation:
Angle Precision
Using the gear trains and stepper motors selected during the REU summer 2004 program,
angle precisionfor each of the kappa goniometer axes was determined.
.go lo .5rev
1) @ : -0 -
deg-= 0.00125- (adding 20 & 40 tooth gears)
+
goniometer
step l ~ v step
head-axis 1:360 1:Zgearing
instrument
ratio
.go lo .5rev
2) 5 : - 0 -
deg-=0.00125- (adding 20 & 40 tooth gears)
kappa step 366 & stepblock-axis 1 : % 0 1:2~e&ing
instrument
ratio
1.8" 1"0-0
lrev
3) SZK : - = 0.0005* (adding 1:10gear reducer)
+ s t e ~ 360" lorev step
0-
block-axis 1:360 l:i0
instrument near-reducer
ratio
1.8" 1"0- 0
lrev
4) 28 : -+
=0.00l* (adding 1:10 gear reducer)
det ecror step g8 @-3 step
i:iso Go
instrument gear-reducer
raIio
2. AdapterPlates
The stepper motor mounting hole patterns that will be replacing the original motors do
not match the pre-drilledand tapped holes on the kappa goniometer. Therefore, adapter
plates were required to accommodate these hole mismatches. The slotted holes, where
the stepper motors mount to on both the kappa and phi axes were designed to facilitate
backlash settings and adjustment.
These drawings required 48 hours of design time and were completed just before spring
break started.
After careful measurementsand design, the following prints were developed using
Autocadsoftware.
3.
4.
5.
6. The following entries represent what was accomplished during the remaining 8 weeks of
the semester:
Review of Prints with Machinist
During a meeting with Professor Lyman, Gerry Becker, and myself, it was determined
that the adapter plates for both the kappa and phi axes were sufficient and fabrication
would begin immediately accordingto the first two prints above. Further inquiry into the
two theta and omega axes demonstrated that fabricationof the adapter plates for these
two axes may not be the most efficient method. Therefore, it was decided that
modification of the pre-existing shaft and motor mount block to accommodatethe hole
pattern of the new stepper motor would be acceptable.
Shortly thereafter, the material was ordered and machining of the components began.
Installation of Parts
As of the end of the spring semester, the parts for the goniometer were still in the process
of being fabricated. Therefore, these parts will be installed probably during the summer
months.
Abstract for SRMS-5
The Synchrotron Radiation in Materials Scienceconference sent a request for abstracts of
potential presentationsand posters. It was decided that there was enough research
completed and there would be enough material to present a poster at the conference. The
following is a copy of the abstract submitted to the SRMS-5 acceptancecommittee:
7. Appendageof a Two-Degree-of-Freedom Detector
with a Conventional Kappa Goniometer
R.J. Moriai. P.F.Lyman
btrocluctlou
A flexible new diffixctaeta a~rongculcutis &scribed. The
gco~lletryco~ubiiesthe opclmcs wd accessibilityto the sample
of the kapp coufiguration with the ability to move the point
detector out of the traditiml fixed scatteringpbne. This extra
degree of frrcdom greatly facilitates sample positiouiug for
investigationof s~ufacoand nlterfnces.
hkthocls and Materials
The dctcctor will be nttachcd to a two-degree-of-6ecdonlcircle.
which itself will coincide with the verticd axis of an Eurnf
Nonius kappa goniomctcr as d o w n in Fig. 1. Thir will create a
(3r2d) difiactometer. siuce tbe sample %--illhave thee aud the
detector will have two degrees of fsccdon~respectively. Iu
nddition to the ring being hee to rotate about kappa's vertical
nxis. the detector a m is free to rotate nbo11ta hhorizontal axis a5
sbvu in figure 2.
Fu~hmuol.c.besides the iutroduction of this fifth circle. the
original sclvomotorsare beiug rylaced with stepper n~oto~sa d
appropriategear rrductiola. These compuents allow for mm'c
accurateand precise sarllyleploceme~~tmd detection. Preloaded
gear wains will rrdwe the baclilash prescut in the origiual
&sign.
Fig. 1. The 5-circle kappa r-voy d~@acronteter. n ~ i sview
represents home posacinort where aN angles are set to Iero and
theprimary x-rqv beantpr~oagatestmrnrds the ringcenter.
Results
I1uplen1entntionof a nvo-dcprcc-of-freedom dctccto~.coinciding
with kappa's priu~uyaxis will facilitate detection of out-of.
surface-plane rcatt&g vectorr, thereby nwking @&ug
incident and or exit angles possible holding the san~ple
nmml in the Ilorkoutal plme. This will fi~rtlmreduce the
intensity rcqui~rdof the p r h a y x-my sotuce wd fire up all
mt~ictiomto the reciprocal Iatticcspace.
Disrutsiou
Augle calcnlationsof the mtarioualmatrices for each axis along
with pmcdurc for in5hmcut aligwcut is c~urcutlyt&lg
investigated nud will be documeutcd to allow n ~ t i u c
comprlterizedncccss to a~%itrarypoints in reciprocalspace.
Fig. 2. The dcfiacrorneter as slronwr irr sconerittg our-ofplane
derectiorr mode.
This abstract was accepted and was scheduled to be included into the SRMS-5
conference, however funding to help pay for the entrance fee could not be secured. It
was unfortunatelydecided that a request be made to withdraw the abstract from the
conference and present it once funding could be available.
8. Derivation of the Rotation Matricies
To begin deriving the rotational matricies for each axis, analysis of coordinate
transformationwas done first as a review:
CoordinateTransformationfor
Counter-Clockwise Rotation
Recall: Using the dot product to find componentsin terms of rotated unit vectors.
Let the x-y coordinates be the lab frame:
The x' component:
A A A A
i* if
= cost? & j* if
= cos
9. The Y' comDonent:
Or to find the fixed basis vectors (lab frame) in terms of the rotating vectors:
This result is commonly written in matrix notation:
cos6 - sin 6 x'
[;]= [sin 6 cos6 ][ y ]
Similarly, for clockwise rotation, the componentscan be derived and the following
matrix results:
[;]= [cosh i n61[ X I ]
- sin 6 cos6 y'
This developmentcan be extended into the derivation of the 3-d rotational matrix about
each axis. We can multiply them together to create any 3-d rotation.
We start with rotation about the z-axis. It is essentially the same as that just derived for
two axes with an identity transformation for the z-coordinate,since this component will
not change during a rotation about the z-axis:
10. The next rotation to consider is rotation about the x-axis. This corresponds to rotation of
the y-axis into the z-axis. A clever "trick" is to let y take the role of x and z take the role
of y (since this is analogous to the derivation of the rotation of x into y):
cosw sinw 0 y
I= c0;w
y' 0 cosw sinw x
[:j=[:s i y co;w][:]s
Finally, rotation about the y-axis plays the analogousrole of rotation about z by letting z
take the role of x, and x take the role of y:
z' sin @ 0 cos@ x
[;I= :y][+
cos@ 0 - sin @ x
[i]=[si.@ I c:4][:j=~e[i
11. The usual convention is to rotate about x, then y, then z. Therefore, in this case the
composite rotation matrix is:
cos@ 0 -sin@ 1 0
I[0
1 0 I[. cosw si:w][;]
sin@ 0 cos@ 0 -sinw cosw z
c o s ~ sin^ 0 COS@ sin@sinw -sin@cosw
= sin^ COSK 0 0 cosw sin w
[ 0 0 I s i n , -cos@sinw c o s ~ o s wI
cosKCOS @ cos sin@sinw+sin KCOS w sin sin w-cos sin @cosw'
-sin KCOS@ cosKCOS w-sin Ksin@sinw cosKsinw-sin K S ~@cosw
sin @ -cos@sinw cos@cosw
12. One of the most efficient methods to relate the relationshipof the real-spacecomposition
of a material to its diffraction pattern is through the reciprocal lattice. These must be
incorporated into the rotational matrices in order to completely return to real-space.
A nice chapter describing the bravais lattice and derivationof each reciprocallattice was
found in the appendix of Elements of X-Ray DifSraction, (3rdedition) (hardcover),B.D.
Cullity, and investigationof these was done.
Further reading was done by reviewing numerous papers written by experts on deriving
angle calculations for multi-circleinstruments. A few of these papers reviewedinclude:
Acta Cryst. (1967). 22,457-464 [ doi:10.1107/S0365110X67000970]
Angle calculationsfor 3- and 4-circle X-ray and neutron diffractometers
W. R. Busingand H. A. Levy
J.Appl. Cryst. (1993). 26,706-7 16 [ doi:10.1107/S0021889893004868]
Angle calculationsfor a six-circle surface X-ray diffractometer
M. Lohmeier and E. Vlieg
Although reading of these papers have begun, derivation of the angle calculations for a 4
or 5 circle instrument was not completeddue to time constraints.
Conclusion:
In all, satisfaction was found in the amount of work accomplishedduring this semester
even though more work remains. Some of this work will probably be performedover the
summer months until the finished project is realized.