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Title: | Existence of libration points in the generalized photogravitational restricted problem of three bodies |
Authors: | Kumar, V Choudhry, R. K |
Keywords: | Celestial mechanics Libration points Three body problem |
Issue Date: | Jun-1986 |
Publisher: | Astronomical Society of Indian |
Citation: | BASI, Vol. 14, No. 2, pp. 79-90 |
Abstract: | The motion of an infinitesimal mass under the gravitational field of two radiating bodies of finite mass is investigated analytically, with a focus on the possible existence of libration points, in the framework of the generalized restricted three-body problem. The analysis of Simmons et al. (1985) is extended to the case of an oblate-spheroid (rather than spherical) infinitesimal mass. A general radiation-pressure expression is introduced; the equations of motion are derived; and conditions for the existence of collinear, coplanar, and triangular libration points are obtained. It is shown that in the general case there are seven libration points: three collinear, two coplanar, and two triangular. Nine points are possible for small degrees of infinitesimal-mass oblateness |
URI: | http://hdl.handle.net/2248/909 |
Appears in Collections: | BASI Publications |
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