Primaries Oblateness Effects on the Collinear Libration Points in the Restricted-three Body Problem
M. N. Ismail, A. H. Ibrahim, G. H. F. Mohamadin, W. A. Okasha
Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 25 Oct 2019
10.9734/jamcs/2019/v34i230210Abstract
In this work, the canonical Hamiltonian form of the restricted three- body problem including the effects of primaries oblateness is presented. Moreover, the collinear libration points are obtained. In addition to this, the relation between position of libration points and variation in (mass ration , oblateness coefficients A1 and A2) is studied. The results obtained are a good agreement with Perdios [1] & Singh [2]. The Poincare surface section PSS is used to illustrate the stability of motion around each of the collinear libration points. A numerical application on the real system Earth-Moon is presented.
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