Approximate solutions for tethered satellite motion

Citation
S. Cho et al., Approximate solutions for tethered satellite motion, J GUID CON, 24(4), 2001, pp. 746-754
Citations number
10
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Aereospace Engineering
Journal title
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS
ISSN journal
0731-5090 → ACNP
Volume
24
Issue
4
Year of publication
2001
Pages
746 - 754
Database
ISI
SICI code
0731-5090(200107/08)24:4<746:ASFTSM>2.0.ZU;2-3
Abstract
The formulation of approximate solutions to equations that embody the domin ant characteristics of the orbital motion of a two-satellite tethered syste m are studied. The orbital motion of the system is viewed as perturbed two- body motion, and a restricted tether problem is obtained by neglecting libr ational motion. An exact analytical solution to this restricted problem in terms of elliptic functions is presented. An approximate solution to the re stricted tether problem obtained by applying the method of averaging is als o provided. An approximation for small-amplitude librational motion is form ulated, whose solution is based on methods for solving equations with varia ble coefficients. The analytical solutions are good approximations to the o rbital motion of the tether-perturbed satellite and the librational motion of the system when the libration is small. The restricted tether motion app roximation is then utilized to solve the identification problem of a tether ed satellite system.