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.
Geometric interpretation of the Tschauner–Hempel solutions for satellite relative motion
Advances in Space Research ; 55 , 9 ; 2268-2279
2015-01-27
12 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Geometric interpretation of the Tschauner–Hempel solutions for satellite relative motion
Online Contents | 2015
|Solutions of Tschauner–Hempel Equations
AIAA | 2017
|Graphical Generation of Periodic Orbits of Tschauner-Hempel Equations
Online Contents | 2012
|Guidance, Navigation and Control for Satellite Proximity Operations using Tschauner-Hempel Equations
British Library Conference Proceedings | 2011
|