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Sequential Probability Ratio Test for Collision Avoidance Maneuver Decisions Based on a Bank of Norm-Inequality-Constrained Epoch-State Filters
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TLDR
In this article, a filter bank with two norm-inequality-constrained epoch-state extended Kalman filters is proposed for collision avoidance maneuver decisions, where one filter model the null hypothesis and the other model the alternative hypothesis.Abstract:
Sequential probability ratio tests explicitly allow decision makers to incorporate false alarm and missed detection risks, and are potentially less sensitive to modeling errors than a procedure that relies solely on a probability of collision threshold Recent work on constrained Kalman filtering has suggested an approach to formulating such a test for collision avoidance maneuver decisions: a filter bank with two norm-inequality-constrained epoch-state extended Kalman filters One filter models 1he null hypothesis 1ha1 the miss distance is inside the combined hard body radius at the predicted time of closest approach, and one filter models the alternative hypothesis The epoch-state filter developed for this method explicitly accounts for any process noise present in the system The method appears to work well using a realistic example based on an upcoming highly-elliptical orbit formation flying missionread more
Citations
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Satellite collision probability estimation using polynomial chaos expansions
Brandon A. Jones,Alireza Doostan +1 more
TL;DR: The presented PC-based method of computing collision probability requires no fundamental simplifying assumptions, and reduces the computation time compared to Monte Carlo, and improved accuracy when compared to simplified techniques.
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Chi-square and SPRT combined fault detection for multisensor navigation
TL;DR: Simulations indicate improvements in both failure detection and recovery speed, contributing to improved accuracy and stability in HCV fault-tolerant navigation.
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Collision Probability with Gaussian Mixture Orbit Uncertainty
TL;DR: In this paper, the probability of collision between two space objects provides a quantitative measure of the likelihood that the space objects will collide with each other, which is closely related to close approaches, 3 collision detection, and conflict probability and has been derived for low Earth orbits.
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Conjugate Unscented Transformation-Based Approach for Accurate Conjunction Analysis
Nagavenkat Adurthi,Puneet Singla +1 more
TL;DR: In this article, the probability of conjunction between two space objects when probability density functions for orbital state vector are significantly non-Gaussian in the presence of a nonGaussian orbital plane is estimated.
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Wald Sequential Probability Ratio Test for Space Object Conjunction Assessment
TL;DR: In this article, the authors show how satellite owner/operators may use sequential estimates of collision probability, along with a prior assessment of the base risk of collision, in a compound hypothesis ratio test to inform decisions concerning collision risk mitigation maneuvers.
References
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TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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TL;DR: In this paper, the meaning of probability and random variables are discussed, as well as the axioms of probability, and the concept of a random variable and repeated trials are discussed.
A table of integrals
TL;DR: Basic Forms x n dx = 1 n + 1 x n+1 (1) 1 x dx = ln |x| (2) udv = uv − vdu (3) 1 ax + bdx = 1 a ln|ax + b| (4) Integrals of Rational Functions
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Random variables and stochastic processes
TL;DR: An electromagnetic pulse counter having successively operable, contact-operating armatures that are movable to a rest position, an intermediate position and an active position between the main pole and the secondary pole of a magnetic circuit.
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introduction to random signals and applied kalman filtering
TL;DR: In this paper, the Discrete Kalman Filter (DFL) is used for smoothing and prediction linearization in the Global Positioning System (GPS) and a case study is presented.