Dynamics of a tethered satellite with variable mass

Elbaz I.  Abouelmagd; Juan L. G.  Guirao; Aatef  Hobiny; Faris  Alzahrani

doi:10.3934/dcdss.2015.8.1035

Article Contents

2015, Volume 8, Issue 6: 1035-1045. Doi: 10.3934/dcdss.2015.8.1035

This issue Previous Article New trends on nonlinear dynamics and its applications Next Article Stability of equilibria points for a dumbbell satellite when the central body is oblate spheroid

Dynamics of a tethered satellite with variable mass

1.
National Research Institute of Astronomy and Geophysics, Cairo
2.
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203-Cartagena, Región de Murcia
3.
Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah

Received: May 2015

Revised: August 2015

Published: December 2015

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we provide an analytical study regarding the dynamics of a tethered satellite system, when the central gravitational field is generated by a variable mass object. We show that, in general, the equations of motion for the tethered satellite in the general case as well as in satellite approximation become different from the classical ones, provided that variable mass is considered. We also prove that these expressions could be reduced to the classical ones under the first Meshcherskii's law for variable mass. Moreover, we show that Meshcherskii's transformation is not valid for the dynamics of a dumbbell satellite system.

Keywords:

Mathematics Subject Classification: Primary: 70E17, 70E20, 70E40; Secondary: 37C27.

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