HYPERBOLOIDAL PRECESSION OF A DYNAMICALLY SYMMETRICAL SATELLITE - CONSTRUCTION OF NORMAL FORMS OF THE HAMILTONIAN

Citation
Ii. Shevchenko et Ag. Sokolsky, HYPERBOLOIDAL PRECESSION OF A DYNAMICALLY SYMMETRICAL SATELLITE - CONSTRUCTION OF NORMAL FORMS OF THE HAMILTONIAN, Celestial mechanics & dynamical astronomy, 62(4), 1995, pp. 289-304
Citations number
14
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
09232958
Volume
62
Issue
4
Year of publication
1995
Pages
289 - 304
Database
ISI
SICI code
0923-2958(1995)62:4<289:HPOADS>2.0.ZU;2-5
Abstract
The 'Norma' specialized program package, intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used in studies of small-amplitude periodic motions in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circula r orbit. The case of hyperboloidal precession is considered. Analytica l expressions for normal forms and generating functions depending on f requencies of the system as on parameters are derived. Possible resona nces are considered in particular. The 6th order of normalization is a chieved. Though the intermediate analytical expressions occupy megabyt es of computer's main memory, final ones are quite compact. Obtained a nalytical expressions are applied to the analysis of stability of smal l-amplitude periodic motions in the neighbourhood of hyperboloidal pre cession.