The document characterizes the space radiation environment for a spacecraft in a heliosynchronous orbit at 800 km altitude. It finds that the main radiation sources are solar particles, trapped radiation in the Van Allen belts, and galactic cosmic rays. The radiation can damage spacecraft devices through single-event effects and dielectric charging. The worst scenarios include higher radiation in the South Atlantic Anomaly and polar regions due to weaker magnetic shielding.
1. The document discusses the basis functions used in 1D and 2D finite element analysis.
2. For 1D elements, it presents the linear, quadratic and cubic basis functions derived from imposing interpolation conditions on linear, quadratic and cubic shape functions respectively.
3. For 2D elements, it derives the linear and quadratic basis functions for triangular and rectangular elements by transforming the element coordinates and imposing interpolation conditions on linear and quadratic Ansatz shape functions.
This document provides an overview of genetic algorithms (GAs). It describes Holland's simple genetic algorithm (SGA) model including representation, selection, crossover and mutation operators. Real-valued and permutation representations are discussed along with associated operators. Alternative population models and selection mechanisms are also summarized.
GATE Engineering Maths : Limit, Continuity and DifferentiabilityParthDave57
This document provides an overview of key concepts in calculus including functions, limits, continuity, and differentiation. It defines a function as a relationship where each input has a single output. Limits describe the behavior of a function as the input value approaches a number. A function is continuous if its limit equals the function value. A function is differentiable at a point if the limit of its difference quotient exists, with the left and right derivatives needing to be equal. Examples are provided to illustrate these fundamental calculus topics.
An introduction to reinforcement learning (rl)pauldix
This document provides an introduction to reinforcement learning (RL) and RL for brain-machine interfaces (RL-BMI). It outlines key RL concepts like the environment, value functions, and methods for achieving optimality including dynamic programming, Monte Carlo, and temporal difference methods. It also discusses eligibility traces and provides an example of an online/closed-loop RL-BMI architecture. References for further reading on the topics are included.
(1) The document discusses various integration techniques including: review of integral formulas, integration by parts, trigonometric integrals involving products of sines and cosines, trigonometric substitutions, and integration of rational functions using partial fractions.
(2) Examples are provided to demonstrate each technique, such as using integration by parts to evaluate integrals of the form ∫udv, using trigonometric identities to reduce powers of trigonometric functions, and using partial fractions to break down rational functions into simpler fractions.
(3) The key techniques discussed are integration by parts, trigonometric substitutions to transform integrals involving quadratic expressions into simpler forms, and partial fractions to decompose rational functions for integration. Various examples illustrate the
This document provides information about inverse functions including:
- The inverse of a function is formed by reversing the coordinates of each ordered pair. A function has an inverse only if it is one-to-one.
- The domain of the inverse function is the range of the original function, and the range of the inverse is the domain of the original.
- To find the inverse of a one-to-one function, replace f(x) with y, interchange x and y, then solve for y in terms of x and replace y with f^-1(x).
- Several examples are provided to demonstrate finding the inverse of different one-to-one functions by following the given steps.
Feedback Control of Dynamic Systems 8th Edition Franklin Solutions ManualDakotaFredericks
Full download : https://alibabadownload.com/product/feedback-control-of-dynamic-systems-8th-edition-franklin-solutions-manual/ Feedback Control of Dynamic Systems 8th Edition Franklin Solutions Manual
El documento describe el método de Jacobi para resolver sistemas de ecuaciones lineales. Explica que el método implica despejar cada incógnita en términos de las demás y calcular iterativamente una solución aproximada. También presenta un ejemplo numérico para ilustrar los cálculos iterativos requeridos para aplicar el método de Jacobi y resolver el sistema.
1. The document discusses the basis functions used in 1D and 2D finite element analysis.
2. For 1D elements, it presents the linear, quadratic and cubic basis functions derived from imposing interpolation conditions on linear, quadratic and cubic shape functions respectively.
3. For 2D elements, it derives the linear and quadratic basis functions for triangular and rectangular elements by transforming the element coordinates and imposing interpolation conditions on linear and quadratic Ansatz shape functions.
This document provides an overview of genetic algorithms (GAs). It describes Holland's simple genetic algorithm (SGA) model including representation, selection, crossover and mutation operators. Real-valued and permutation representations are discussed along with associated operators. Alternative population models and selection mechanisms are also summarized.
GATE Engineering Maths : Limit, Continuity and DifferentiabilityParthDave57
This document provides an overview of key concepts in calculus including functions, limits, continuity, and differentiation. It defines a function as a relationship where each input has a single output. Limits describe the behavior of a function as the input value approaches a number. A function is continuous if its limit equals the function value. A function is differentiable at a point if the limit of its difference quotient exists, with the left and right derivatives needing to be equal. Examples are provided to illustrate these fundamental calculus topics.
An introduction to reinforcement learning (rl)pauldix
This document provides an introduction to reinforcement learning (RL) and RL for brain-machine interfaces (RL-BMI). It outlines key RL concepts like the environment, value functions, and methods for achieving optimality including dynamic programming, Monte Carlo, and temporal difference methods. It also discusses eligibility traces and provides an example of an online/closed-loop RL-BMI architecture. References for further reading on the topics are included.
(1) The document discusses various integration techniques including: review of integral formulas, integration by parts, trigonometric integrals involving products of sines and cosines, trigonometric substitutions, and integration of rational functions using partial fractions.
(2) Examples are provided to demonstrate each technique, such as using integration by parts to evaluate integrals of the form ∫udv, using trigonometric identities to reduce powers of trigonometric functions, and using partial fractions to break down rational functions into simpler fractions.
(3) The key techniques discussed are integration by parts, trigonometric substitutions to transform integrals involving quadratic expressions into simpler forms, and partial fractions to decompose rational functions for integration. Various examples illustrate the
This document provides information about inverse functions including:
- The inverse of a function is formed by reversing the coordinates of each ordered pair. A function has an inverse only if it is one-to-one.
- The domain of the inverse function is the range of the original function, and the range of the inverse is the domain of the original.
- To find the inverse of a one-to-one function, replace f(x) with y, interchange x and y, then solve for y in terms of x and replace y with f^-1(x).
- Several examples are provided to demonstrate finding the inverse of different one-to-one functions by following the given steps.
Feedback Control of Dynamic Systems 8th Edition Franklin Solutions ManualDakotaFredericks
Full download : https://alibabadownload.com/product/feedback-control-of-dynamic-systems-8th-edition-franklin-solutions-manual/ Feedback Control of Dynamic Systems 8th Edition Franklin Solutions Manual
El documento describe el método de Jacobi para resolver sistemas de ecuaciones lineales. Explica que el método implica despejar cada incógnita en términos de las demás y calcular iterativamente una solución aproximada. También presenta un ejemplo numérico para ilustrar los cálculos iterativos requeridos para aplicar el método de Jacobi y resolver el sistema.
Este documento describe los spline cúbicos, una técnica de interpolación que usa polinomios cúbicos para cada subintervalo entre nodos. Los spline cúbicos cumplen con ciertas condiciones como que los valores, las primeras y segundas derivadas sean continuas en los nodos. Se presenta la fórmula general para construir los spline cúbicos naturales y no naturales, y se resuelve un ejemplo numérico para ilustrar el proceso de construcción de un spline cúbico natural.
Rosen - Elementary number theory and its applications.pdfSahat Hutajulu
This textbook introduces elementary number theory and its applications. It covers topics such as divisibility, representations of integers, prime numbers, greatest common divisors, congruences, multiplicative functions, and applications to cryptography. The book is suitable for undergraduate number theory courses and provides traditional topics as well as applications relevant to computer science, such as cryptography. It aims to integrate important applications of elementary number theory with traditional topics.
- The document provides an overview of mathematical concepts for control systems including complex variables, complex functions, differential equations, Laplace transforms, and their applications.
- It introduces complex numbers and variables, complex functions including poles and zeros. Basic concepts of differential equations and Laplace transforms are reviewed.
- Methods for solving differential equations using Laplace transforms are described, including taking the inverse Laplace transform using partial fraction expansion.
This document is an introduction to combinatorics presented by A.B. Benedict Balbuena from the University of the Philippines. It discusses fundamental combinatorics concepts like the addition rule, product rule, and inclusion-exclusion principle. Examples of counting problems are provided to illustrate how to use these rules to calculate the number of possible outcomes in situations involving sets, permutations, and combinations.
This document discusses properties of the Laplace transform. It begins by defining the Laplace transform and common notation used. It then provides examples of Laplace transforms for some common functions like the impulse function, unit step function, ramp function, sine and cosine functions, and exponential functions. It also discusses rules like linearity and time shifting. The document concludes by summarizing some of the key Laplace transforms and properties discussed.
The document discusses Kalman filters and their applications in tracking and data prediction. It provides an overview of the basic Kalman filter, which works optimally for linear models. It then describes the extended Kalman filter (EKF) which uses Taylor series linearization to apply the Kalman filter to nonlinear systems. Finally, it introduces the unscented Kalman filter (UKF) which uses the unscented transform for better linearization compared to the EKF when nonlinearities are large.
Applied Numerical Methods Curve Fitting: Least Squares Regression, InterpolationBrian Erandio
Correction with the misspelled langrange.
and credits to the owners of the pictures (Fantasmagoria01, eugene-kukulka, vooga, and etc.) . I do not own all of the pictures used as background sorry to those who aren't tagged.
The presentation contains topics from Applied Numerical Methods with MATHLAB for Engineers and Scientist 6th and International Edition.
The document discusses fuzzy relations and fuzzy composition. It defines the fuzzy Cartesian product of two fuzzy sets as a fuzzy relation contained within the full Cartesian product space, with the membership function equal to the minimum of the membership values from each fuzzy set. Fuzzy composition is defined similarly to crisp composition, with max-min composition taking the maximum of the minimum membership grades and max-product composition taking the maximum of the product membership grades. An example calculates the fuzzy Cartesian product of two sample fuzzy sets and performs max-min and max-product composition on two example fuzzy relations.
This document discusses integration using algebraic substitution and trigonometric substitution. It provides examples of integrating trigonometric functions and expressions involving radicals using these substitution techniques. Key formulas for integrating trigonometric functions are presented. Examples show how to transform integrals involving powers of trigonometric functions into integrable forms by using trigonometric identities.
1) A composite function is formed by combining two functions, where one function is substituted into the other.
2) Notations like fg(x) indicate that function g(x) is substituted into function f(x).
3) Composite functions are non-commutative, meaning the order of the functions matters - fg(x) may not equal gf(x).
The document discusses MATLAB's Optimization Toolbox. It provides an overview of function optimization and outlines the toolbox's capabilities, including routines for unconstrained and constrained optimization problems. An example is presented to demonstrate unconstrained minimization using the fminunc routine. Options are discussed to customize the optimization parameters, such as tolerance levels and algorithm selection.
1. The Laplace transform converts differential equations describing systems from the time domain to the frequency domain by replacing functions of time with functions of a complex variable dependent on frequency.
2. The inverse Laplace transform converts the solution back from the frequency domain to the time domain to obtain the solution in terms of the time variable.
3. Partial fraction expansion is often used to break solutions into simpler terms that can be inverted using Laplace transform tables to find the solution in the time domain.
The document discusses higher order derivatives. It defines the nth derivative of a function f(x) as f(n)(x). The first example finds the first five derivatives of f(x)=2x^4 - x^3 - 2. The second example finds the first three derivatives of f(x)=-x^2/3. The third example finds the first four derivatives of f(x)=ln(x) and discusses how derivatives of rational functions become more complicated with higher orders. It also provides examples of finding derivatives of other functions like sin(x).
This document provides an overview of satellite communications systems. It describes the basic components, including active satellites that amplify signals and passive satellites that only reflect signals. Typical components of the ground system include high-gain antennas, sensitive receivers, and high-power transmitters. The document discusses different types of satellite orbits like synchronous, geosynchronous, and polar orbits. It also describes how satellites are oriented in space and methods for initial acquisition and tracking of satellites from earth terminals.
Satellite Communication Unit 1 ppt for ECEssuserb20042
The document provides information about the EC8094 Satellite Communication course offered at an educational institution. The objectives of the course are to understand satellite orbits, satellite and earth segments, link power budget calculations, satellite access and coding technologies, and satellite networks. The outcomes are that students will be able to identify satellite orbits, analyze satellite subsystems, evaluate link power budgets, identify access technologies, and design satellite applications. The course consists of 5 units covering satellite orbits, the space segment, satellite link design, access and coding methods, and satellite applications.
1) Global climate models that include sophisticated cloud schemes show that tidally locked planets can develop thick water clouds near the substellar point due to strong convection. These clouds greatly increase the planetary albedo and stabilize temperatures, allowing habitability at twice the stellar flux previously thought possible.
2) The cloud feedback is stabilizing, as higher stellar flux produces stronger convection and higher albedos. Substellar clouds can block outgoing radiation, reducing the day-night temperature contrast.
3) Non-tidally locked planets do not experience this stabilizing cloud feedback, as clouds only form over parts of the tropics and mid-latitudes. Their albedo decreases with increasing stellar flux, producing a destabil
1. Electrodynamic tethers use the interaction between electric current in a conducting tether and Earth's magnetic field to propel spacecraft. As the tether moves through the magnetic field, a voltage is induced along its length.
2. When current is run through the tether, the Lorentz force from the magnetic field can be used for propulsion. Current can be collected from ionospheric plasma to de-orbit a satellite or an external power source can overcome the induced voltage to boost an orbit.
3. Tethers provide propellantless propulsion and can lower the cost of in-space transportation by reducing the need to launch propellant from Earth. Potential applications include de-orbiting satellites
This document provides an overview of satellite orbits. It discusses Kepler's laws which govern satellite motion, including elliptical orbits, equal areas swept in equal time, and the relationship between orbital period and distance. Geostationary orbits are defined as matching the Earth's rotation at 35,786 km above the equator. Satellites in geostationary orbit appear stationary from Earth. Non-geostationary orbits include low Earth and medium Earth orbits used by GPS, communications, and weather satellites. Orbital perturbations like the Earth's oblateness and atmospheric drag cause orbits to change over time requiring station keeping maneuvers.
This document provides an overview of satellite communication and satellite orbits. It discusses Kepler's laws which govern satellite motion, including elliptical orbits, equal areas swept in equal time intervals, and the relationship between orbital period and distance. Newton's laws of motion are also covered. Key orbital parameters like apogee, perigee, inclination and perturbations from non-spherical earth and atmospheric drag are explained. The document discusses geosynchronous and geostationary orbits and how station keeping is required to maintain satellite positions. It provides objectives and outlines topics to be covered in each unit of the course.
This document discusses various perturbations that can affect a satellite's orbit. It describes perturbations due to the non-spherical shape of the Earth, atmospheric drag, and solar radiation pressure. Perturbations from the Earth's oblateness and bulge at the equator cause mainly secular variations in the satellite's longitude of ascending node and argument of perigee. Atmospheric drag opposes the satellite's velocity and will cause its orbit to decay over time. Solar radiation pressure also produces periodic variations in the orbital elements, with its effect exceeding that of atmospheric drag for satellites above 800 km altitude.
Analysis and Design of a Propulsion System for an Interplanetary Mission to V...IRJET Journal
This document analyzes and designs a propulsion system for an interplanetary mission to Venus. The mission aims to study unknown UV absorbers in Venus' atmosphere using a 180kg CubeSat payload. A Hohmann transfer orbit is selected to travel from Earth to Venus orbit. Total Δv is calculated to be 4.6 km/s. Mass budgeting determines a two-stage design requiring 5309.4kg of propellant would be optimal. UDMH and N2O4 are selected as the bipropellant due to their high density and 310s specific impulse.
Este documento describe los spline cúbicos, una técnica de interpolación que usa polinomios cúbicos para cada subintervalo entre nodos. Los spline cúbicos cumplen con ciertas condiciones como que los valores, las primeras y segundas derivadas sean continuas en los nodos. Se presenta la fórmula general para construir los spline cúbicos naturales y no naturales, y se resuelve un ejemplo numérico para ilustrar el proceso de construcción de un spline cúbico natural.
Rosen - Elementary number theory and its applications.pdfSahat Hutajulu
This textbook introduces elementary number theory and its applications. It covers topics such as divisibility, representations of integers, prime numbers, greatest common divisors, congruences, multiplicative functions, and applications to cryptography. The book is suitable for undergraduate number theory courses and provides traditional topics as well as applications relevant to computer science, such as cryptography. It aims to integrate important applications of elementary number theory with traditional topics.
- The document provides an overview of mathematical concepts for control systems including complex variables, complex functions, differential equations, Laplace transforms, and their applications.
- It introduces complex numbers and variables, complex functions including poles and zeros. Basic concepts of differential equations and Laplace transforms are reviewed.
- Methods for solving differential equations using Laplace transforms are described, including taking the inverse Laplace transform using partial fraction expansion.
This document is an introduction to combinatorics presented by A.B. Benedict Balbuena from the University of the Philippines. It discusses fundamental combinatorics concepts like the addition rule, product rule, and inclusion-exclusion principle. Examples of counting problems are provided to illustrate how to use these rules to calculate the number of possible outcomes in situations involving sets, permutations, and combinations.
This document discusses properties of the Laplace transform. It begins by defining the Laplace transform and common notation used. It then provides examples of Laplace transforms for some common functions like the impulse function, unit step function, ramp function, sine and cosine functions, and exponential functions. It also discusses rules like linearity and time shifting. The document concludes by summarizing some of the key Laplace transforms and properties discussed.
The document discusses Kalman filters and their applications in tracking and data prediction. It provides an overview of the basic Kalman filter, which works optimally for linear models. It then describes the extended Kalman filter (EKF) which uses Taylor series linearization to apply the Kalman filter to nonlinear systems. Finally, it introduces the unscented Kalman filter (UKF) which uses the unscented transform for better linearization compared to the EKF when nonlinearities are large.
Applied Numerical Methods Curve Fitting: Least Squares Regression, InterpolationBrian Erandio
Correction with the misspelled langrange.
and credits to the owners of the pictures (Fantasmagoria01, eugene-kukulka, vooga, and etc.) . I do not own all of the pictures used as background sorry to those who aren't tagged.
The presentation contains topics from Applied Numerical Methods with MATHLAB for Engineers and Scientist 6th and International Edition.
The document discusses fuzzy relations and fuzzy composition. It defines the fuzzy Cartesian product of two fuzzy sets as a fuzzy relation contained within the full Cartesian product space, with the membership function equal to the minimum of the membership values from each fuzzy set. Fuzzy composition is defined similarly to crisp composition, with max-min composition taking the maximum of the minimum membership grades and max-product composition taking the maximum of the product membership grades. An example calculates the fuzzy Cartesian product of two sample fuzzy sets and performs max-min and max-product composition on two example fuzzy relations.
This document discusses integration using algebraic substitution and trigonometric substitution. It provides examples of integrating trigonometric functions and expressions involving radicals using these substitution techniques. Key formulas for integrating trigonometric functions are presented. Examples show how to transform integrals involving powers of trigonometric functions into integrable forms by using trigonometric identities.
1) A composite function is formed by combining two functions, where one function is substituted into the other.
2) Notations like fg(x) indicate that function g(x) is substituted into function f(x).
3) Composite functions are non-commutative, meaning the order of the functions matters - fg(x) may not equal gf(x).
The document discusses MATLAB's Optimization Toolbox. It provides an overview of function optimization and outlines the toolbox's capabilities, including routines for unconstrained and constrained optimization problems. An example is presented to demonstrate unconstrained minimization using the fminunc routine. Options are discussed to customize the optimization parameters, such as tolerance levels and algorithm selection.
1. The Laplace transform converts differential equations describing systems from the time domain to the frequency domain by replacing functions of time with functions of a complex variable dependent on frequency.
2. The inverse Laplace transform converts the solution back from the frequency domain to the time domain to obtain the solution in terms of the time variable.
3. Partial fraction expansion is often used to break solutions into simpler terms that can be inverted using Laplace transform tables to find the solution in the time domain.
The document discusses higher order derivatives. It defines the nth derivative of a function f(x) as f(n)(x). The first example finds the first five derivatives of f(x)=2x^4 - x^3 - 2. The second example finds the first three derivatives of f(x)=-x^2/3. The third example finds the first four derivatives of f(x)=ln(x) and discusses how derivatives of rational functions become more complicated with higher orders. It also provides examples of finding derivatives of other functions like sin(x).
This document provides an overview of satellite communications systems. It describes the basic components, including active satellites that amplify signals and passive satellites that only reflect signals. Typical components of the ground system include high-gain antennas, sensitive receivers, and high-power transmitters. The document discusses different types of satellite orbits like synchronous, geosynchronous, and polar orbits. It also describes how satellites are oriented in space and methods for initial acquisition and tracking of satellites from earth terminals.
Satellite Communication Unit 1 ppt for ECEssuserb20042
The document provides information about the EC8094 Satellite Communication course offered at an educational institution. The objectives of the course are to understand satellite orbits, satellite and earth segments, link power budget calculations, satellite access and coding technologies, and satellite networks. The outcomes are that students will be able to identify satellite orbits, analyze satellite subsystems, evaluate link power budgets, identify access technologies, and design satellite applications. The course consists of 5 units covering satellite orbits, the space segment, satellite link design, access and coding methods, and satellite applications.
1) Global climate models that include sophisticated cloud schemes show that tidally locked planets can develop thick water clouds near the substellar point due to strong convection. These clouds greatly increase the planetary albedo and stabilize temperatures, allowing habitability at twice the stellar flux previously thought possible.
2) The cloud feedback is stabilizing, as higher stellar flux produces stronger convection and higher albedos. Substellar clouds can block outgoing radiation, reducing the day-night temperature contrast.
3) Non-tidally locked planets do not experience this stabilizing cloud feedback, as clouds only form over parts of the tropics and mid-latitudes. Their albedo decreases with increasing stellar flux, producing a destabil
1. Electrodynamic tethers use the interaction between electric current in a conducting tether and Earth's magnetic field to propel spacecraft. As the tether moves through the magnetic field, a voltage is induced along its length.
2. When current is run through the tether, the Lorentz force from the magnetic field can be used for propulsion. Current can be collected from ionospheric plasma to de-orbit a satellite or an external power source can overcome the induced voltage to boost an orbit.
3. Tethers provide propellantless propulsion and can lower the cost of in-space transportation by reducing the need to launch propellant from Earth. Potential applications include de-orbiting satellites
This document provides an overview of satellite orbits. It discusses Kepler's laws which govern satellite motion, including elliptical orbits, equal areas swept in equal time, and the relationship between orbital period and distance. Geostationary orbits are defined as matching the Earth's rotation at 35,786 km above the equator. Satellites in geostationary orbit appear stationary from Earth. Non-geostationary orbits include low Earth and medium Earth orbits used by GPS, communications, and weather satellites. Orbital perturbations like the Earth's oblateness and atmospheric drag cause orbits to change over time requiring station keeping maneuvers.
This document provides an overview of satellite communication and satellite orbits. It discusses Kepler's laws which govern satellite motion, including elliptical orbits, equal areas swept in equal time intervals, and the relationship between orbital period and distance. Newton's laws of motion are also covered. Key orbital parameters like apogee, perigee, inclination and perturbations from non-spherical earth and atmospheric drag are explained. The document discusses geosynchronous and geostationary orbits and how station keeping is required to maintain satellite positions. It provides objectives and outlines topics to be covered in each unit of the course.
This document discusses various perturbations that can affect a satellite's orbit. It describes perturbations due to the non-spherical shape of the Earth, atmospheric drag, and solar radiation pressure. Perturbations from the Earth's oblateness and bulge at the equator cause mainly secular variations in the satellite's longitude of ascending node and argument of perigee. Atmospheric drag opposes the satellite's velocity and will cause its orbit to decay over time. Solar radiation pressure also produces periodic variations in the orbital elements, with its effect exceeding that of atmospheric drag for satellites above 800 km altitude.
Analysis and Design of a Propulsion System for an Interplanetary Mission to V...IRJET Journal
This document analyzes and designs a propulsion system for an interplanetary mission to Venus. The mission aims to study unknown UV absorbers in Venus' atmosphere using a 180kg CubeSat payload. A Hohmann transfer orbit is selected to travel from Earth to Venus orbit. Total Δv is calculated to be 4.6 km/s. Mass budgeting determines a two-stage design requiring 5309.4kg of propellant would be optimal. UDMH and N2O4 are selected as the bipropellant due to their high density and 310s specific impulse.
WASP-69b’s Escaping Envelope Is Confined to a Tail Extending at Least 7 RpSérgio Sacani
Studying the escaping atmospheres of highly irradiated exoplanets is critical for understanding the physical
mechanisms that shape the demographics of close-in planets. A number of planetary outflows have been observed
as excess H/He absorption during/after transit. Such an outflow has been observed for WASP-69b by multiple
groups that disagree on the geometry and velocity structure of the outflow. Here, we report the detection of this
planet’s outflow using Keck/NIRSPEC for the first time. We observed the outflow 1.28 hr after egress until the
target set, demonstrating the outflow extends at least 5.8 × 105 km or 7.5 Rp This detection is significantly longer
than previous observations, which report an outflow extending ∼2.2 planet radii just 1 yr prior. The outflow is
blueshifted by −23 km s−1 in the planetary rest frame. We estimate a current mass-loss rate of 1 M⊕ Gyr−1
. Our
observations are most consistent with an outflow that is strongly sculpted by ram pressure from the stellar wind.
However, potential variability in the outflow could be due to time-varying interactions with the stellar wind or
differences in instrumental precision.
Solar system as a radio telescope by the formation of virtual lenses above an...eSAT Publishing House
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Solar system as a radio telescope by the formation of virtual lenses above an...eSAT Journals
Abstract The boundaries of multiverse are almost infinite and so the thirst of mankind for latest technology .man has startled many principles of space and nature by gaining them facing all fatal difficulties. Time is one quantity which is considered to be fast happening, but when it comes to happenings in space it is faster. All what we look into space is past; under least possible cases we could see the present. So, there has a necessicity for us to keep a big eye on making our search for extra-galactic recourses or extra-celestial life forms etc with equal speeds of space time. for this to be achieved by us we need to make some drastic changes in our telescope usage and we have to adopt technological up gradation and we should no longer make our telescope concentrate on the same celestial body for days continuously , indeed mili seconds should be enough to grab the required information . Index Terms- RTS, LEO, MEO, GEO, RT
Measurements of the_near_nucleus_coma_of_comet_67_p_churyumov_gerasimenko_wit...Sérgio Sacani
Artigo descreve descoberta feita pelo instrumento Alice da sonda Rosetta no cometa 67P/Churyumov-Gerasimenko, das moléculas de água e dióxido de carbono quebradas que pairam pela atmosfera do cometa.
MAGIA satellite. Experimental Astronomy (8 December 2010), pp. 1-20Stefano Coltellacci
The document describes the MAGIA satellite mission, which aims to study the Moon's internal structure, polar regions, and exosphere. The satellite will carry a suite of instruments including cameras, an altimeter, particle detectors, and accelerometers. It will be launched via Soyuz rocket into a lunar transfer orbit, then enter a polar mapping orbit for 6 months before transitioning to a gravity science orbit. Key challenges include meeting tight budget constraints while achieving ambitious science goals and accommodating multiple payloads and propulsion systems for orbital maneuvers.
The nonmagnetic nucleus_of_comet_67_p_churyumov_gerasimenkoSérgio Sacani
Artigo descreve como a sonda Rosetta e o módulo Philae descobriram que o cometa Churyumov-Gerasimenko não é magnetizado, contrariando uma teoria da formação do Sistema Solar.
The extremely high albedo of LTT 9779 b revealed by CHEOPSSérgio Sacani
Optical secondary eclipse measurements of small planets can provide a wealth of information about the reflective properties
of these worlds, but the measurements are particularly challenging to attain because of their relatively shallow depth. If such signals
can be detected and modeled, however, they can provide planetary albedos, thermal characteristics, and information on absorbers in
the upper atmosphere.
Aims. We aim to detect and characterize the optical secondary eclipse of the planet LTT 9779 b using the CHaracterising ExOPlanet
Satellite (CHEOPS) to measure the planetary albedo and search for the signature of atmospheric condensates.
Methods. We observed ten secondary eclipses of the planet with CHEOPS. We carefully analyzed and detrended the light curves using
three independent methods to perform the final astrophysical detrending and eclipse model fitting of the individual and combined light
curves.
Results. Each of our analysis methods yielded statistically similar results, providing a robust detection of the eclipse of LTT 9779 b
with a depth of 115±24 ppm. This surprisingly large depth provides a geometric albedo for the planet of 0.80+0.10
−0.17, consistent with
estimates of radiative-convective models. This value is similar to that of Venus in our own Solar System. When combining the eclipse
from CHEOPS with the measurements from TESS and Spitzer, our global climate models indicate that LTT 9779 b likely has a super
metal-rich atmosphere, with a lower limit of 400× solar being found, and the presence of silicate clouds. The observations also reveal
hints of optical eclipse depth variability, but these have yet to be confirmed.
Conclusions. The results found here in the optical when combined with those in the near-infrared provide the first steps toward
understanding the atmospheric structure and physical processes of ultrahot Neptune worlds that inhabit the Neptune desert.
The document summarizes the first observations of the magnetic Kelvin-Helmholtz instability in the solar corona using high-resolution imaging from NASA's Solar Dynamics Observatory. The instability was detected on the northern flank of a fast coronal mass ejection, appearing as substructures or waves against the darker coronal background. Analysis found the observed phase speed of the waves to be about half the speed of the ejecta front, validating theories of the non-linear dynamics of this instability in magnetized plasma environments. The findings provide new insights into fundamental plasma processes in the solar atmosphere and solar-terrestrial system.
The KMEC mission involves sending two spacecraft to Saturn over 6 years to study cosmic dust, ultraviolet imaging, and space recognition between the payloads. Each spacecraft is octagonal and 6m tall, made of aluminum. The 100kg payload includes dust, UV, and ranging instruments. A chemical propulsion system will perform orbital maneuvers. Power comes from an RTG and backup battery. Thermal control uses an RTG and radiator. The spacecraft structure is sized to withstand launch stresses and the environment at Saturn.
1) High-dispersion spectroscopy was used to observe the young exoplanet Beta Pictoris b, detecting a blueshifted radial velocity of -15±1.7 km/s and rotational broadening of 25±3 km/s, indicating it spins faster than any planet in the solar system.
2) Beta Pictoris b's high spin velocity is consistent with an extrapolation of the trend of increasing spin velocity with planet mass seen in the solar system.
3) At an estimated age of 11±5 Myr, Beta Pictoris b is expected to cool and shrink over time, which would cause it to spin up further to a rotation velocity of around 40 km/s.
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S/C in Heliosynchronous Orbit - Spacecraft Environment Analysis
1. S/C in Heliosynchronous Orbit
Spacecraft Environment Analysis
Preliminary Design Review
Coll Ortega, Jordi
Molas Roca, Pau
9th of March 2018, Kiruna
Lule˚a University of Technology
The present document contains an extended study of the general hazards a spacecraft
would face in a heliosynchronous orbit. Particularly, the radiation environment is deeply
characterized. The main emphasis is made on the effects of radiation on two sensitive
devices projected to be on-board.
Nomenclature
CMOS Complementary Metal Oxide Semiconductor
DD Displacement Damage
EM Electromagnetic
ESA European Space Agency
EUV Extrem-Ultra-Violet radiation
eV Electron Volt → 1.602 · 1019
C
GCRs Galactic Cosmic Rays
LET Linear Energy Transfer ( Stopping power)
LEO Low Earth Orbit, range of altitude 100km - 1000km
PEO Polar Earth Orbit (High inclined LEO orbit)
S/C Spacecraft
SAA South Atlantic Anomaly
SEL Single Event Latch-up
SEU Single Event Upset
SPENVIS SPace ENVironment Information System
TTL Transistor Transistor Logic
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2. I. Introduction
A. Background
The space environment interacts with a spacecraft in a way that it can strongly affect its operation and
lifetime. Therefore, a clear understanding of this environment is essential during the design phase of a
spacecraft in order to avoid as much problems as possible in a situation where maintenance and repairing or
upgrading of damaged components is usually not possible.
The present document is focused on the effects of the radiation environment and how the particles interact
with the spacecraft, its electronic devices and its solar cells. It must be considered that spacecrafts, and also
astronauts, are exposed to a large level of radiation when in space and a risk analysis relative to extended
radiation exposures in missions and space travel in general is basic to achieve success in such inhospitable
environment.
However, a brief overview of the neutral, plasma and particulate environments will be given to provide a
better understanding of the critical phases of the whole mission and the worst scenarios that the spacecraft
will face during its operation.
B. Content
• Characterization the space radiation environment of the mission.
• Estimation worst possible cases.
• Identification of critical phases of the mission.
• Study of the radiation environment effects on an electronic device of the satellite.
• Study of the performance degradation of solar arrays.
C. Mission definition
The chosen mission for the current study is based on a spacecraft orbiting the Earth in an heliosynchronous
orbit at 800 km of altitude. In an heliosynchronous orbit, also known as Sun-synchronous orbit, the spacecraft
passes over a given latitude of the Earths surface at the same local mean solar time.
This kind of orbit is quite similar to a polar orbit regarding to its inclination respect the Earth’s equator.
However, it is normally used for very specific applications, such as imaging, spy and weather satellites,
because of its constant surface illumination angle at each location.
For instance, several missions have been using this orbit in previous missions, taking advantage of a
specific orbit case called down/dusk orbit, which allows a nearly continuous view of the Sun. Among them it
can be mentioned Yohkoh, TRACE, Hinode and PROBA2, that were mean to be solar-observing scientific
satellites.
The mission is meant to start the 1st of January of 2018 at midnight where Equator and Prime Meridian
intersect: 0◦
Latitude and 0◦
Longitude. Such an orbit is another special case, also known as a noon/midnight
orbit.
Table 1: Mission definition summary.
Orbit type Heliosynchronous
Mission start 01/01/2018 at 00:00:00 hours
Mission duration 1 year
Altitude 800 km
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3. D. Orbitography
In Table 2, the main characteristics of the orbit are defined. Among them, the Semi Major Axis value,
which places the spacecraft in a Low Earth Orbit environment, and the Eccentricity, which defines a perfect
circular orbit, are of great relevance.
Table 2: Orbital parameters.
Ω: Right Ascension of Ascending Node (RAAN) 100.21 ◦
a: Semi Major Axis 7178.16 km
e: Eccentricity 0
i: Inclination 98.6 ◦
ω: Argument of Perigee 0 ◦
ν0: True Anomaly 0 ◦
t0: Epoch 2018
The other key value, and the most characteristic in this case, is the Orbital Inclination: the angle
between the orbital plane and the Earth’s equator. Values larger than 90◦
, associated with Polar orbits,
gives to the spacecraft a retrograde motion around the Earth. In particular, values about 98◦
and 99◦
places
the spacecraft in an orbital plane that moves at the same rate as the Earth orbits around the Sun. The latter
means that the spacecraft will orbit with a constant Sun angle in the aforesaid Heliosynchronous orbit.
A simulation for the ground track of the spacecraft after 6 swipes of the defined orbit can be seen in
Figure 1. Another characteristic of this orbit is that it doesn’t pass through the same location every orbit.
This fact, together with its almost polar inclination, means that this orbit allows to cover most of the Earth’s
surface.
Figure 1: Ground track of the satellite after 6 orbits around the Earth.
According to the previously mentioned parameters, the spacecraft will have an Orbital Period of 1.68
hours, which means that will perform about 14.25 orbits per day around the Earth.
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4. (a) Altitude of the spacecraft at each instant of time during
one orbit.
(b) Orbital velocity of the spacecraft at each altitude.
Figure 2: Orbital motion characteristics of the spacecraft during the Heliosynchronous orbit.
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5. II. Overview of Spacecraft Environment
During the whole mission, the spacecraft will exclusively fly in LEO with a circular orbit. The latter
means that the mission will consist in only two phases: 1) Launch and 2) Orbit at 800km. Actually, most
of the lifetime of the spacecraft will occur during the second phase, which, since the launch phase will not
last long, the main study effort shall be focused on the LEO environment.
Among the primary physical components relative to space environment in Low Earth Orbits, it is possible
to expect a dense and supersonic neutral atmosphere, a cold, dense and ionospheric plasma environment,
solar ultra-violet radiation, the effects of the South Atlantic Anomaly, and a significant density of orbital
debris.
A. The Neutral Atmosphere
The neutral environment in LEO is produced by the upper layers of the Earths atmosphere, which are
mainly composed by mono-atomic oxygen over most of the altitude range. In Figure 3, the distribution of
the mono-atomic oxygen at 800km of altitude can be seen.
Figure 3: Global distribution of atomic oxygen density at 800km of altitude.
When the spacecraft passes through this environment, a drag force is produced due to the impact of the
atmospheric particles on the vehicle surfaces. As a result, some torques appear, which must be considered by
the attitude control system. Eventually, this drag can slow down the spacecraft. Therefore, small thrusters
are required to maintain the orbit during the mission time.
On the other hand, the impact of the ambient particles can also produce physical and chemical degradation
to the spacecraft surface. Figure 4a shows the density of neutral particles over the altitude. Even if these
are usually not enough energetic to remove material or erode the spacecraft surfaces, oxidation could change
the thermal properties of the external layers.
In addition to chemical effects, neutral particles also contribute to the appearance of diffuse glows which
have been detected above surfaces oriented towards the spacecraft ram direction. In Figure 4b, the density
of ion flux in that direction at different LEO altitudes is shown.
Among other possible effects that can result in neutral particles interactions with the spacecraft subsys-
tems, are changes in cover-glass transmittance in the power system, and coat and contamination of sensors
and surfaces.
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6. (a) Neutral particle density. (b) Ion ram particle flux.
Figure 4: Main neutral environment characteristics at 800km.
B. The Plasma Environment
A spacecraft is affected by plasma environment in any orbit. At LEO altitudes, it is cold and dense, but
the mean energy is lower than in GEO. This environment is generated by ionization of the neutral gas by
EUV and X-ray radiation, and by hyper-velocity impacts with the spacecraft surfaces or rests from plasma
thrusters and arc discharges.
Plasma is a collection of charged particles that responds to magnetic-field variations. Therefore, the
spacecraft interaction with the plasma environment is strongly dependent on its location respect to Van
Allen Belts and the Earths magnetosphere. Figure 5 shows the intensity of the Earth magnetic field at
800km of altitude.
Figure 5: Global magnetic field intensity at 800km.
The orbit performed by the spacecraft will be located in the ionosphere, below the plasmasphere. At
these altitudes, the electron concentration at different altitudes can be seen in Figure 6a. Next to it, in
Figure 6b, it can be seen how the electron temperature increase with the altitude. Usually, this tends to be
a factor of two greater than the neutral particles.
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7. (a) Electron density relative to the altitude.
(b) Electron temperature relative to the altitude.
Figure 6: Electron distribution characteristics at the ionosphere.
Some of the main effects of the interactions between a spacecraft and this plasma environment are
shift ground, attraction of contaminants, arc damage, changes in the surface properties, EMI, and sensor
interferences. These could seriously damage the vehicle or decrease the quality of the scientific payload
measurements.
In addition to the near-Earth effects related to a LEO environment, in a Sun-Synchronous orbit it must
be considered that with a high orbital inclination, the spacecraft crosses through the Aurora regions and
the polar cap. In direct relationship to these zones there is a high-energy plasma component that produces
significant ionization which increases the density of the thermal component. These corpuscular events are
not constant and directly dependant on the magnetic activity, usually measured by Kp.
C. The Radiation Environment
The radiation environment is generated by two main sources, electromagnetic and corpuscular radiations.
The first one includes the ambient solar photon flux, electromagnetic waves from the plasma environment,
and the electromagnetic interference resultant of the spacecraft systems or arcing. On the other hand, the
flux of particles such as electrons, protons, heavy ions and neutrons, belong to the corpuscular radiation.
For a better understanding of this environment, a detailed study of different radiation sources is required.
It should be mentioned that unlike the solar radiation, which is quite dependent on time and also on the
current solar cycle, the trapped radiation and the galactic cosmic radiation are quite constant sources with
changes on long timescales.
1. Influence of the Sun
The Sun, through the emission of electromagnetic flux and charged particles, is the main energy source for
space environment in the solar system. Although Earth’s magnetosphere provides good shielding against
the charged-particle environment, the electromagnetic flux can penetrate to the atmosphere and even to the
surface at certain wavelengths.
Regarding LEO orbits, the solar activity plays a role in short-term variations through solar flares and
geomagnetic storms. The resulting energetic particles, coupled with changes in solar Extreme-Ultra-Violet
flux that heat the atmosphere, occur mainly during solar maximum and last from a few minutes to a few
hours. However, according to the 11-years solar cycles, 2018 will occur during a solar minimum activity
period, which means that this effects will be much less critical.
During a solar minimum period, the electron density is lower because of the drop in UV/EUV fluxes. On
the contrary, the proton density increases with the galactic cosmic radiation, which should be considered,
specially near the South Atlantic Anomaly.
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8. 2. Trapped radiation
Trapped radiation is based mainly in energetic protons and electrons, with some lower quantities of heavy
ions such as atomic oxygen, which are stuck inside the toroidal Van Allen Belts around the Earth. Figures
7 and 8 show the distribution of protons and electrons at 800 km of altitude.
(a) Trapped electron flux. (b) Average spectra of trapped electrons.
Figure 7: Trapped proton simulation at 800km for Solar Minimum.
(a) Trapped proton flux. (b) Average spectra of trapped protons.
Figure 8: Trapped electron simulation at 800km for Solar Minimum.
In particular, it is in the inner belt, which goes from hundreds of km to 6000km, where the spacecraft
will operate. In there, a special concern for low orbits is the South Atlantic Anomaly. As it can be seen in
the aforesaid Figures 7 and 8, and also in the Figure 5 regarding the intensity magnetic field of the Earth,
the SAA is a region where the Van Allen belts are weaker and comes closer to the Earths surface. This
becomes into higher fluxes of energetic particles in that zone which can produce unexpected failures if not
considered properly.
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9. 3. Galactic Cosmic Rays
Galactic cosmic radiation is principally composed by interplanetary protons and ionized heavy nuclei. Elec-
trons are also part of the GCRs, but their intensities are much lower than that of the protons and, therefore,
are usually ignored. In Figure 9 the GCRs spectrum for some heavy ions such as Helium and atomic Oxygen
are plotted.
For LEO altitudes, the Earths magnetic field shield against many of the low-energy particles. However,
in the polar regions, all particles can enter almost parallel to the magnetic field. As a result, higher and
more directional flux can be expected to reach the spacecraft, as well as higher variations in the energy
distribution.
(a) GCR ion spectrum for Helium. (b) GCR ion spectrum for atomic Oxygen.
Figure 9: Galactic Cosmic Rays Spectrum for some heavy ions.
4. Effects of radiation in the spacecraft devices
Both corpuscular and photon radiations can produce several damages to the spacecraft devices through
many different ways, and it can be either temporary or permanent. Temporary damage happens when a
high-energy particle is introduced into an electrical component and modify its state, which is known as single-
event effect. On the other hand, sometimes, permanent damage can result from burnout of the integrated
circuit.
This effects are unleash by dielectric charging, radiofrequency interferences, thermal balance alteration,
dust and light glinting over the spacecraft surfaces, and so on.
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10. D. The Particulate Environment
The particulate environment is composed by meteoroids, orbital debris and spacecraft components released
during or after their operation. All these together create an hostile environment with impact source particles
ranging from dust size to bigger elements which could damage or totally destroy a spacecraft. In Figure 10
it can be seen the flux of potential particles that could collide with the spacecraft at 800 km of altitude. On
the left, there is the simulation related with the Micrometeoroids and, on the right, the simulation regarding
the space debris flux.
(a) Micrometeroid flux. (b) Space debris flux.
Figure 10: Particulate flux density at 800km.
The damage that these particles can produce not only depend on its size or mass, but also to the impact
velocity. Figure 11 shows the required impact velocity to perforate an Aluminum plate with a thickness of
1 cm.
Figure 11: Critical particle dimensions dependent on the collision velocity.
Besides all these destructive effects, very small particulates can be trapped near the vehicle and degrade
the performance of spaceborne optical systems, damaging sensitive sensors or appearing as clutter in the
FOV of the instruments.
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11. E. Critical phases and worst scenarios
Concerning the study of the different environments through which the spacecraft will have to operate during
the mission time, it has been identified some critical scenarios that must be considered specifically during
the design phase of the probe.
1. Most critical environments
Due to the proximity of the orbit to the Earth, the outer atmosphere still produce a strong influence to a
spacecraft that orbit at such high velocities.
On the other hand, because of the Heliosynchronous orbit has a very high inclination, the radiation
environment becomes into a significant interaction in certain regions such as the polar caps.
Therefore, the most critical envrionments to consider are the Neutral Atmosphere, and the Radiation
Environment.
2. Most critical areas
Strongly related with the previous section, two main areas have been identified as potentially problematic
in terms of radiation exposure, due to the geometry of the Van Allen radiation belts.
Thus, the most critical areas in which the spacecraft will have to operate every few orbits or in all the
orbits are the South Atlantic Anomaly region, and the Auroral region.
3. Most critical periods
Regarding the short-term solar particle fluxes, it has been simulated the worst periods of solar activity. In
Figure 12, it can be seen the energy levels for protons and ions.
(a) Solar protons. (b) Solar ions.
Figure 12: Worst week in short-term solar particle fluxes.
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12. III. Life time and Performance Degradation
Several critical components of the spacecraft orbiting in an heliosynchronous orbit may be considerably
affected by the previously presented environment. Hence, numerical simulations have been carried in order
to determine the danger they would face.
Solar arrays performance degradation is analyzed as well as four different kinds of memory devices. The
research shall lead to the selection of the most suitable device configuration and the specific shielding required
for the mission.
This section deals with protective measurements for the solar arrays and the memory device that are
on-board the spacecraft.
A. Environmental Flux
The radiation environment is tightly linked with the solar activity. The properties of plasma particle at the
orbiting altitude have been obtain through simulation in SPENVIS. Since the altitude has little variations
the values remain constant. The relevant ones are presented in Table 3.
Table 3: Properties at 800km altitude.
Neutral particle density 8.01012
m−3
Electron density 2.01011
m−3
Electron Temperature 0.259eV
Electron Thermal Velocity 3.015105
ms−1
Ion Temperature 0.198eV
Ion Thermal Velocity 1715ms−1
Average ion mass 2.1610−26
kg
B. Solar Arrays
The aim is to devise the shielding for the solar panels with the constrain of payload power delivery of 95% of
the initial power Pmax. NIEL based damage equivalent fluences for solar cells (MC-SCREAM) in SPENVIS.
The cell type Azur 3G28 used in the mission was considered. Several shielding thicknesses were tested
and checked with the calculated power degradation. After some iterations, the required thickness of the
protective layer to withstand the radiation effect shall be
x = 7.0µm (1)
The above value reduces the electron fluence to the desired limit. Once the surface of the solar panels is
determined, the mass of the shielding could be easily calculated and decide if it is feasible or not.
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13. C. Total Dose and Shielding
The semi-conductor memory device is made mainly out of silicon. The device withstands 25krad of radiation
before it ceases functioning. It is mounted on the front face of the spacecraft in a box with shielding of 1.0mm.
The radiation dose received during the mission have been computed and are presented in Figure 13.
The proposed shielding thickness will receive a total dose of 2.42krad during the one year mission. The
latter confirms the eligibility of the projected thickness. Nonetheless, if mass had to be reduced, the shielding
could go down to 0.3mm and still having a dose lower than 25krad.
Figure 13: Radiation dose levels during the one-year mission. Credit: SPENVIS.
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14. D. Single Event Upsets
A single event upset (SEU) is a change of state in a semiconductor device caused by an intruding high-energy
particle. The SEU rate for several possible choices of on-board volatile memory, such as NMOS2164, CMOS
R160-25, Bipolar 93L422, and SMJ329C50GFAM66, has been analyzed.
Simulation outputs of Bipolar 93L422 and NMOS2164, obtained in SPENVIS, are presented in Figures
14 and 15.
Figure 14: Short-term of SEU rates and LET spectra Bipolar for the 93L422 1K SRAM.
Figure 15: Short-term of SEU rates and LET spectra for the NMOS 2164.
Regarding SMJ329C50GFAM66, in order to obtain the data required for the comparative study, numerical
studies were carried and are presented next.
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15. 1. Linear Energy Transfer Spectrum
To estimate the SEU rate, shielding thickness of 1g/cm2
(Aluminum equivalent) is assumed. Maximum
ion range from hydrogen to uranium is considered and the simulation is carried out under peak composite
worst-case flare flux and worst-case composition, taking trapped protons into account. Having specified
this environment, SPENVIS provides the total mission differential flux f(L) for values of the linear energy
transfer within a broad range.
2. Cross-Section and Components characteristics
The influence of the LET value on the SEU rate has been modeled as a Weibull distribution function. The
sensitivity function is assumed as
L →
0 L ≤ 0
Cs(1 − exp[−(L−Lo
W )s
]) L > 0
(2)
The four parameters Lo, Cs, W and s depend on the specific material. The values corresponding to all
the devices are stated in Table 4.
Sensitivity of SMJ329C50GFAM66
Numerical calculations were conducted in order to obtain the constant values characterizing the memory
device, see Table 4. To do so, a least-square fit to the data points was employed.
In Figure 16 below, both the data points and the function σ(L) are ploted. The MATLAB code has been
developed to perform the least-square fit can be found in the second code in Appendix A.
Figure 16: Approximation result for the sensitivity of the SMJ329C50GFAM66. The red dots represent the
data derived from Table 17 in Appendix B.
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16. 3. SEU Estimation
The SEU rate ρ is the value of the following integral. Recall that the sensitivity function σ(L) stated in
equation 2 is determined by the four parameters Lo, Cs, W and s that depend on the specific material.
ρ =
∞
0
f(L)σ(L)dL (3)
Using numerical integration, a good approximation of the SEU rate ρ as defined in equation 3 for all four
devices was calculated, see Table 4.
Table 4: Parameters and SEU rate estimation.
Lo[MeV cm2
mg ] Cs[cm2
] W[MeV cm2
mg ] s SEU rate
NMOS 2164 0.487 1.71 · 10−5
4.95 1.422 1.152 · 10−4
CMOS R160-25 136.8 1.2 · 10−5
350 3.0 6.52 · 10−8
Bipolar 93L422 0.6 2.6 · 10−5
4.4 0.7 4.811 · 10−4
SMJ329C50GFAM66 1.9604 4.9942 · 10−6
1.1065 2.6050 1.1789 · 10−4
Radiation causes the least number of single event upsets in the CMOS R160-25 device, which is therefore
recommended to incorporate in the design of the satellite. The SEU rates ρ are yielded using the last
MATLAB code in Appendix A. The numerical approximation of the differential flux f(L) provided by
SPENVIS is not included.
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17. IV. Conclusions
The analysis made should provide the reader with detailed knowledge about the environment the mission
would be involved in. The description has been lately supported with several numerical calculations to
determine the validity of the shielding designed to fly as well as to help on the decision making of the
memory device to be flown.
The results do not give any reason to doubt about the final choice. Regarding the memory device
selection, it has been proven that the radiation causes the least number of single event upsets in the CMOS
R160-25 device. Therefore, in this PDR, CMOS R160-25 device is the one proposed as the one to be chosen.
In shielding terms, it was proven that the shielding thickness is more than enough to withstand all the
radiation interactions during the hole mission. If mass was a constraint for the mission, the shielding could
be reduced down to 0.3mm
Moving to solar array shielding, the environment is not as harmful as initially thought on the first design
phase. Hence, the shielding thickness should be of a minimum of 7µm.
The Preliminary design anlysis concludes that the performance degradation of the studied components
is compatible with the mission duration and its requirements.
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18. Appendix
A. Numerical Code
The code attached was implemented in Matlab.
% Weibull d i s t r i b u t i o n function
function y=weibull (x , xdata )
y=x(1)∗(1 − exp( −(( xdata−x (4))/ x ( 2 ) ) . ˆ x ( 3 ) ) ) ;
———————————
% S e n s i t i v i t y of the SMJ329C50GFAM66
data=[
% MeV LET Cross Section=NumberofFlips /(F∗ t ∗60)
0.6 2.65 1.067 e−9 %C
0.72 3.05 9.996 e−7 %C
9.6 4.537 3.0 e−6 %C
4.8 7.02 4.703 e−6 %O
20 17.4 4.9 e−6 %Ar
56 27.4 4.9985 e−6 %Fe
84 36.5 5.0 e−6 %Kr
786 55.7 5.012 e −6]; %Xe
x=abs ( l s q c u r v e f i t ( @weibull , [ 3 . 0 e−4 5 1 1 ] , data ( : , 2 ) , data ( : , 3 ) , zeros (2) , ones (2)∗5 , optimset ( ’ TolF
c l f r e s e t ;
xdata=l i n s p a c e (x ( 2 ) , 6 0 , 1 00 ) ;
hold on
plot ( data ( : , 2 ) , data ( : , 3 ) , ’ r ∗ ’ ) ;
plot ( xdata , weibull (x , xdata ) ) ;
xlabel ( ’LET [MeV cmˆ2/mg] ’ )
ylabel ( ’ sigma (LET) [cmˆ 2 ] ’ )
grid on
legend ( ’ Data ’ , ’ Weibull ’ )
hold o f f
———————————
% Numerical i n t e g r a t i o n of the product sigma (LET)∗ f lu x (LET)
load dFlux ;
load LET;
x=LET;
z = [ ] ;
f o r n=1:4
switch n
case 1 % nmos2164
Ln=0.487; Cs=1.71e −5; W=4.95; s =1.422;
case 2 % CMOS R160−25
Ln=136.8; Cs=1.2e −5; W=350; s =3.0;
case 3 % Bipolar 93L422 1K SRAM
Ln=0.6; Cs=2.6e −5; W=4.4; s =0.7;
case 4 % SMJ329C50GFAM66
Ln=1.9604; Cs=4.9942e −6; W=1.1065; s =2.6050;
end
y=Cs∗(1−exp ( −(((x−Ln)/W) . ˆ s ) ) ) . ∗ ( x>Ln )∗0.0001;
z=[z trapz (x , y .∗ dFlux ) ] ;
end
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S/C in Heliosynchronous Orbit - PDR
19. B. Data
Figure 17: Mono-beam experimental results of the SMJ329C50GFAM66 component.
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S/C in Heliosynchronous Orbit - PDR