"The amount of debris in space is growing at an alarming rate, raising concern about operational spacecraft colliding with orbiting debris. This book analyzes the probability of such a collision when the orbits of two approaching objects are based on measurements with inherent errors. Many recent papers have dealt with the methodology of computing the collision probability in the encounter region, butt they have assumed that the encounter is a flyby and is short-term, with the trajectories of the objects represented by straight lines. By contrast, Spacecraft Collision Probability, the outgrowth of the authorís research during the past two decades, deals not only with those cases but also with important long-term cases in which objects spend protracted periods in the vicinity of each other. An extensive chapter is included on the International Space Station, to demonstrate how one would accurately gauge its probability of collision. The ISS is modeled according to its actual complex shape, component by component enabling the detailed computation of a more realistic collision probability than one would obtain by the routine practice of modeling it as a sphere. In addition, the author developed Excel macros to obtain the numerical tables and graphical plots appearing in the book. That software is available on the Supporting Materials page of the AIAA website." Table of Contents: Preface Acknowledgments Ch. 1 Overview Ch. 2 Spacecraft Encounters Ch. 3 The Encounter Region Ch. 4 The Isotropic Problem Ch. 5 Analytical Expressions for Short-Term Encounters Ch. 6 International Space Station Collision Probability Ch. 7 Maneuvers to Mitigate Potential Collision Threats Ch. 8 Analytical Expressions for Long-Term Encounters Ch. 9 Short-Term vs Long-Term Spacecraft Encounters Ch. 10 Formation Flying Ch. 11 Maximum Probability of Collision Ch. 12 Close Encounters with Multiple Satellites Ch. 13 Instantaneous Probability of Collision Ch. 14 Spherical Error Probability Computation Ch. 15 Computer Programs Appendix A Novel Algorithm for Computing the Sun Vector Appendix B Enhanced Method of Computing Collision Probability Appendix C Derivation of Density Relations Appendix D Instantaneous Probability of Collision, Continued Index Supporting Materials