Open AccessSHORT-TERM COMPARISON OF SEVERAL SOLUTIONS OF ELLIPTIC RELATIVE MOTION
Author(s) -
Jung Hyun Jo,
Woo-Kyoung Lee,
Ji-Hye Baek,
Nam-Mi Choe
Publication year - 2007
Publication title -
journal of astronomy and space sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.273
H-Index - 11
eISSN - 2093-5587
pISSN - 2093-1409
DOI - 10.5140/jass.2007.24.4.315
Subject(s) - eccentricity (behavior) , elliptic orbit , equations of motion , relative motion , motion (physics) , term (time) , satellite , mathematical analysis , orbit (dynamics) , elliptic function , circular orbit , mathematics , physics , classical mechanics , astronomy , engineering , quantum mechanics , political science , law , aerospace engineering
Recently introduced, several explicit solutions of relative motion between neighboring elliptic satellite orbits are reviewed. The performance of these solutions is compared with an analytic solution of the general linearized equation of motion. The inversion solution by the Hill-Clohessy-Wiltshire equations is used to produce the initial condition of numerical results. Despite the difference of the reference orbit, the relative motion with the relatively small eccentricity shows the similar results on elliptic case and circular case. In case of the 'chief' satellite with the relatively large eccentricity, HCW equation with the circular reference orbit has relatively larger error than other elliptic equation of motion does