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Equilibrium Positions of a Cable-Connected Satellites System under Several Influences
P. G. Department of Physics, L. S. College, B. R. A. Bihar University, Muzaffarpur, Bihar, India
P. G. Department of Physics, L. S. College, B. R. A. Bihar University, Muzaffarpur, Bihar, India
- 1 P. G. Department of Physics, L. S. College, B. R. A. Bihar University, Muzaffarpur, Bihar, India
- 2 P. G. Department of Physics, L. S. College, B. R. A. Bihar University, Muzaffarpur, Bihar, India
International Journal of Astronomy and Astrophysics·Volume 06 (2016)·Pages 288–292·Published 29 July 2016·DOI10.4236/ijaa.2016.63024
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Abstract
The present paper deals with the study of equilibrium positions of the motion of a system of two artificial satellites connected by a light, flexible, inextensible and non-conducting cable under the influence of solar radiation pressure, earth’s oblateness, shadow of the earth and air resistance. Here, we study the case of circular orbit of the centre of mass of the system. We derive differential equations of motion of the system. General solutions of the differential equations are beyond the reach. On the other hand, the general solutions do not serve our purpose. Jacobian integral of the system has also been obtained. Thereafter equilibrium positions of the motion of the system have been obtained.
KeywordsEquilibrium PositionsTwo Cable-Connected SatellitesCircular Orbit
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