The Journal of the Indian Mathematical Society

Phool Kant Mishra ¹, R. K. Choudhry ²

Affiliations
1 T. N. B. College, Bhagalpur University, Bhagalpur-7, IN
2 Bhagalpur University, Bhagalpur-7, IN

Abstract

This work is a generalisation of the work of Russell (1928), Kopal (1938), Cowling (1938), and Sterne (1939) in the sense that the attitude motions of the two bodies are not prescribed. It is also a generalisation of Brouwer's 1946 work in the sense that neither the eccentricity nor the lean angles are assumed small; and it is a generalisation of the work of Johnson and Kane (1969) in the sense that one of the rigid bodies is taken here an ellipsoid, instead of both being spheroids.

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R. K. Choudhry ¹

Affiliations
1 Department of Mathematics, L. S. COLLEGE, Muzaffarpur (Bihar), IN

Abstract

In this paper my aim is to show the existence of analytical continuation in the restricted problem of three bodies in three dimensional coordinate system. Similar problem was taken up by Hill [3] to show the existence of analytical continuation in lunar motion, but it was too much restricted. Birkhoff[2] also studied the problem in more general form, but this treatment was restricted only upto the plane. It was not easy to say whether the existence can be extended to space. I have done the problem for the space. During my study I have very often used the works done by Birkhoff & amp;Hill.

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