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Planetary encounter analysis on the B-plane: a comprehensive formulation

Author:
Farnocchia, Davide  Eggl, Siegfried  Chodas, Paul W.  Giorgini, Jon D.  Chesley, Steven R.  


Journal:
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY


Issue Date:
2019


Abstract(summary):

The B-plane is a fundamental tool to analyze planetary encounters of small bodies and spacecraft flybys. In this paper, we review the B-plane formulation with a full derivation of its coordinates and their partial derivatives, which allow the mapping of orbital uncertainties onto the B-plane. We find that this mapping can be sensitive to variations in the inbound asymptote, especially for low-velocity encounters, and to non-Keplerian dynamics for distant encounters. Under linearity assumptions, we show how to derive close approach boundaries and impact probabilities from the orbital uncertainty mapped onto the B-plane.


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