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The In-Plane Motion of a Geosynchronous Satellite Under the Gravitational Attraction of the Sun, the Moon and the Oblate Earth

Published online by Cambridge University Press:  12 April 2016

K.B. Bhatnagar  and
Manjeet Kaur
K.B. Bhatnagar
Affiliation:
Math. Dept., Zakir Hussain College, Delhi - 110006
Manjeet Kaur
Affiliation:
Maths. Dept., Mata Sundri College, New Delhi - 2

Abstract

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The in-plane motion of a Geosynchronous satellite under the gravitational effects of the sun, the moon and the oblate earth has been studied. The radial deviation (Δr) and the tangential deviation (rcΔθ) have been determined. Here rc represents the synchronous altitude. It has been seen that the sum of the oscillatory terms in Δr for different inclinations is a small finite quantity whereas the sum of oscillatory terms in rcΔθ for different inclinations is quite large due to the presence of the low-frequency terms in the denominator.

Type
Part V General Celestial Mechanics and Stellar Dynamics
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 339
Copyright
Copyright © Nova Science Publishers 1993