• DR. HRIDAYA NAND SAH

Abstract: In this article, it is tried to study the motion of the system in the central gravitational field of force when the centre of mass of the system in moving along elliptical orbit. The equation of the relative motion of the system in the central gravitational field of the force is derived in polar form for the elliptical orbit of the centre of mass. It is obtained in an approximate form of non-linear oscillations. Parametric resonance driven oscillations of a dumb-bell satellite in elliptical orbit in central gravitational field of force under the combined effects of perturbing forces earth magnetic field and oblateness of the earth has been studied. The system comprises of two satellite connected by a light, flexible and inextensible cable, moves like a dumbbell satellite in elliptical orbit, in central gravitational field of force. The gravitational field of the Earth is the main force governing the motion and magnetic field of the Earth and Oblateness of the Earth are considered to be perturbing forces, disturbing in nature.

Keywords: Relative Motion, Gravitational Field, Constraints, Radius vectors, Centre of mass, etc.

"STUDY OF RELATIVE MOTION IN THE SYSTEM OF GRAVITATIONAL FIELD OF FORCE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.4, Issue 6, page no.430-433, June-2017, Available :http://www.jetir.org/papers/JETIR1706083.pdf

"STUDY OF RELATIVE MOTION IN THE SYSTEM OF GRAVITATIONAL FIELD OF FORCE", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.4, Issue 6, page no. pp430-433, June-2017, Available at : http://www.jetir.org/papers/JETIR1706083.pdf