Critical symmetric periodic orbits in the photogravitational restricted three-body problem

Author： Perdios E.A.  

Publisher： Springer Publishing Company

ISSN： 0004-640X

Source： Astrophysics and Space Science, Vol.286, Iss.3-4, 2003-01, pp. : 501-513

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Abstract

In this paper, we determine series of horizontally critical symmetric periodic orbits of the six basic families, f,g,h,i,l,m, of the photogravitational restricted three-body problem, and compute their vertical stability. We restrict our study in the case where only the first primary is radiating, namely q1≠1 and q2=1. We also compare our results with those of Hénon and Guyot (1970) so as to study the effect of radiation to this kind of orbits.

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