COMPUTATION OF ELLIPTIC HANSEN COEFFICIENTS AND THEIR DERIVATIVES

Citation
Ag. Sokolsky et al., COMPUTATION OF ELLIPTIC HANSEN COEFFICIENTS AND THEIR DERIVATIVES, Celestial mechanics & dynamical astronomy, 63(3-4), 1995, pp. 357-374
Citations number
9
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
09232958
Volume
63
Issue
3-4
Year of publication
1995
Pages
357 - 374
Database
ISI
SICI code
0923-2958(1995)63:3-4<357:COEHCA>2.0.ZU;2-T
Abstract
The problem of computation of elliptic Hansen coefficients and their d erivatives is considered for constructing a motion theory of an artifi cial Earth satellite with large eccentricity. An algorithm for analyti cal and numerical computation of these coefficients and their derivati ves is described. The recurrence relations for derivatives of the firs t and second order and initial values for recurrences are obtained. As an example, numerical values of some elliptic Hansen coefficients are given for the orbit with eccentricity k = 0.74.