Effect of solar radiation pressure on the motion and stability of the system of two inter-connected satellites when their center of mass moves in a circular orbit |
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| Authors: | Sachindra Kumar Sinha R B Singh |
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| Institution: | (1) Department of Statistics and Mathematics, Bihar Pusa, Samastipur, India;(2) Department of Mathematics, Bihar University, Muzaffarpur, India |
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| Abstract: | The effect of the perturbative force, solar pressure, on the motion and stability of two cableconnected satellites in the Earth's central gravitational field of force has been studied. The osculating plane of the orbit of the centre of mass has been supposed to be inclined at a constant angle with the plane of the ecliptic. The particular solutions of the nonlinear, non-homogeneous and non-autonomous equations of relative motion in three-dimensional cases have been obtained.The particular solution in which the system lies wholly along the radius vector joining the attracting centre and the centre of mass of the system under the central attracting force alone was found to be stable (cf. Singh, 1973). It has been established in our case too that the same particular solution remains stable if the parameter of the solar pressure lies within a certain limit. |
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