Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1763919 | Advances in Space Research | 2015 | 12 Pages |
Abstract
The fundamental solutions of the Tschauner–Hempel equations, which describe the motion of a deputy satellite relative to a chief satellite with arbitrary eccentricity, are interpreted geometrically as generalizations of the drifting two-by-one ellipse that describes relative motion in circular orbits. General solutions are formed by taking linear combinations of these fundamental solutions. The amplitudes of these fundamental solutions are proposed as a parameterization of relative motion in elliptic orbits. A simple maneuver scheme is also developed to achieve arbitrary desired changes in the fundamental-solution amplitudes.
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Space and Planetary Science
Authors
Andrew J. Sinclair, Ryan E. Sherrill, T. Alan Lovell,