Kumar, S., Srivastava, U.K. and Bhattacharya, P.K. (2005) Equations of Motion of a System of Two Cable-Connected Artificial Satellites under the Influence of Solar Radiation Pressure, Earth’s Oblateness and Shadow of the Earth. Proceedings Mathematical Society, Banaras Hindu University, Varanasi, 21, 51-61.

has been cited by the following article:

• TITLE: Equilibrium Positions of a Cable-Connected Satellites System under Several Influences

  AUTHORS: Santosh Kumar, Sangam Kumar

  KEYWORDS: Equilibrium Positions, Two Cable-Connected Satellites, Circular Orbit

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.6 No.3, September 8, 2016

  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.