The general problem of regular motion of an axisymmetrical satellite in a central field
type: Item
instance of: scholarly article
title: The general problem of regular motion of an axisymmetrical satellite in a central field
zbMATH Open document ID: 0733.70019
DOI: 10.1016/0020-7462(91)90079-9
author: M. Z. Aboelnaga
published in: International Journal of Non-Linear Mechanics
publication date: 1991-01-01T00:00:00Z
review text: In this paper, the stationary motions of an axisymmetrical satellite in a central field of attraction are investigated. Both the orbital, ``translational'', and the self-rotational motions of the satellite are taken into consideration. In the decomposition of the Newtonian force function, all the harmonics up to the third order are taken into account. The exact solutions are deduced by Poincaré's method of small parameters. The results show the existence of two solutions, which satisfy all the necessary and sufficient conditions. One of the solutions belongs to the group of stationary motions of a triaxial satellite obtained before by the author. The second solution, in which the axis of symmetry can keep an arbitrary constant inclination to the orbital plane, is a new and rather a more general solution.
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 4213525
zbMATH Keywords: axisymmetrical satellite
zbMATH Keywords: self-rotational motions
zbMATH Keywords: Newtonian force function
zbMATH Keywords: Poincaré's method of small parameters
MaRDI profile type: Publication
full work available at URL: 0020-7462(91)90079-9
OpenAlex ID: W2043969916
description: scientific article; zbMATH DE number 4213525