Periodic Solution of the restricted three body problem

Authors

  • MR Hassan Dept. of Mathematics, S.M. College, Bhagalpur, Under T.M.B.University, Bhagalpur
  • RR Thapa Dept. of Mathematics, P.G.Campus, Biratnagar, Morang,

DOI:

https://doi.org/10.3126/bibechana.v10i0.9310

Keywords:

Elliptic restricted three body problem, Generating solution, Hamiltonian equations, Perturbation, Periodic solution, Variational equations

Abstract

The effect of perturbation in centrifugal force on the periodic solution of the restricted three-body problem representing analytic continuation of Keplerian rectilinear periodic motion has been examined. However, we have taken the perturbation in the centrifugal force to be of the order of μ, the reduced mass of the smaller primary. We have calculated the first order perturbations also.

BIBECHANA 10 (2014) 44-51

DOI: http://dx.doi.org/10.3126/bibechana.v10i0.9310

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Published

2013-12-12

How to Cite

Hassan, M., & Thapa, R. (2013). Periodic Solution of the restricted three body problem. BIBECHANA, 10, 44–51. https://doi.org/10.3126/bibechana.v10i0.9310

Issue

Section

Research Articles