Spacecraft Collision Risk Assessment with Probabilistic Programming

Over 34,000 objects bigger than 10 cm in length are known to orbit Earth. Among them, only a small percentage are active satellites, while the rest of the population is made of dead satellites, rocket bodies, and debris that pose a collision threat to operational spacecraft. Furthermore, the predicted growth of the space sector and the planned launch of megaconstellations will add even more complexity, therefore causing the collision risk and the burden on space operators to increase. Managing this complex framework with internationally agreed methods is pivotal and urgent. In this context, we build a novel physics-based probabilistic generative model for synthetically generating conjunction data messages, calibrated using real data. By conditioning on observations, we use the model to obtain posterior distributions via Bayesian inference. We show that the probabilistic programming approach to conjunction assessment can help in making predictions and in finding the parameters that explain the observed data in conjunction data messages, thus shedding more light on key variables and orbital characteristics that more likely lead to conjunction events. Moreover, our technique enables the generation of physically accurate synthetic datasets of collisions, answering a fundamental need of the space and machine learning communities working in this area. Third Workshop on Machine Learning and the Physical Sciences (NeurIPS 2020), Vancouver, Canada.

[1]  Felix R. Hoots,et al.  Models for Propagation of NORAD Element Sets , 1980 .

[2]  Deok-Jin Lee,et al.  Probability of Collision Error Analysis , 1999 .

[3]  R. Patera General Method for Calculating Satellite Collision Probability , 2001 .

[4]  R. Walker,et al.  Cost-effective and robust mitigation of space debris in low earth orbit , 2002 .

[5]  Russell P. Patera,et al.  Satellite Collision Probability for Nonlinear Relative Motion , 2002 .

[6]  F. Kenneth Chan,et al.  Spacecraft Collision Probability , 2008 .

[7]  Andrew Gelman,et al.  Handbook of Markov Chain Monte Carlo , 2011 .

[8]  Noah D. Goodman,et al.  Lightweight Implementations of Probabilistic Programming Languages Via Transformational Compilation , 2011, AISTATS.

[9]  Holger Krag,et al.  Consideration of Space Debris Mitigation Requirements in the Operation of LEO Missions , 2012 .

[10]  Massimiliano Vasile,et al.  Preliminary Design of Debris Removal Missions by Means of Simplified Models for Low-Thrust, Many-Revolution Transfers , 2012, ArXiv.

[11]  Ba-Ngu Vo,et al.  An overview of space situational awareness , 2013, Proceedings of the 16th International Conference on Information Fusion.

[12]  A. Doostan,et al.  Nonlinear Propagation of Orbit Uncertainty Using Non-Intrusive Polynomial Chaos , 2013 .

[13]  Frank D. Wood,et al.  A New Approach to Probabilistic Programming Inference , 2014, AISTATS.

[14]  Marko Jankovic,et al.  Agora : Mission to demonstrate technologies to actively remove Ariane rocket bodies , 2015 .

[15]  Puneet Singla,et al.  Conjugate Unscented Transformation-Based Approach for Accurate Conjunction Analysis , 2015 .

[16]  Vaios Lappas,et al.  Drag sails for space debris mitigation , 2015 .

[17]  Pat Hanrahan,et al.  Neurally-Guided Procedural Models: Amortized Inference for Procedural Graphics Programs using Neural Networks , 2016, NIPS.

[18]  Fredrik Lindsten,et al.  Interacting Particle Markov Chain Monte Carlo , 2016, ICML.

[19]  Alessandro Rossi,et al.  A quantitative evaluation of the environmental impact of the mega constellations , 2017 .

[20]  Holger Krag,et al.  Current Collision Avoidance service by ESA's Space Debris Office , 2017 .

[21]  Jonas Radtke,et al.  Interactions of the space debris environment with mega constellations—Using the example of the OneWeb constellation , 2017 .

[22]  Frank D. Wood,et al.  Inference Compilation and Universal Probabilistic Programming , 2016, AISTATS.

[23]  Ya-Zhong Luo,et al.  Nonlinear orbital uncertainty propagation with differential algebra and Gaussian mixture model , 2018, Science China Physics, Mechanics & Astronomy.

[24]  Massimiliano Vasile,et al.  Artificial intelligence in support to space traffic management , 2018 .

[25]  Hongseok Yang,et al.  An Introduction to Probabilistic Programming , 2018, ArXiv.

[26]  Theodore J. Muelhaupt,et al.  Space traffic management in the new space era , 2019, Journal of Space Safety Engineering.

[27]  Frank D. Wood,et al.  Attention for Inference Compilation , 2019, SIMULTECH.

[28]  Massimiliano Vasile,et al.  Set propagation in dynamical systems with generalised polynomial algebra and its computational complexity , 2019, Commun. Nonlinear Sci. Numer. Simul..

[29]  Prabhat,et al.  Efficient Probabilistic Inference in the Quest for Physics Beyond the Standard Model , 2018, NeurIPS.

[30]  Prabhat,et al.  Etalumis: bringing probabilistic programming to scientific simulators at scale , 2019, SC.

[31]  Carlos Yanez,et al.  On the Gaussianity validity time for orbital uncertainty propagation , 2019 .

[32]  Gilles Louppe,et al.  The frontier of simulation-based inference , 2019, Proceedings of the National Academy of Sciences.

[33]  BLRToN C. CouR-PALArs,et al.  Collision Frequency of Artificial Satellites : The Creation of a Debris Belt , 2022 .