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Normalisation at the Triangular Equilibria in The Doubly Photogravitational Restricted Problem


Affiliations
1 M.S.College, Bhagalpur, India
2 Department of Mathematics, Bhagalpur University, Bhagalpur-812 007, Bihar, India
     

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In order to study the stability in the sense of Lyapunov of the triangular equilibria L4 and L5 in the circular restricted problem of three bodies when both finite masses are radiating, the normalization of the second order terms of the Hamiltonians has been done. Special attention is paid to the problem of determining the curves in the parameter plane along which the system presents resonances of the type (1:1), (1:2) and (1:3).
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  • Normalisation at the Triangular Equilibria in The Doubly Photogravitational Restricted Problem

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Authors

Vijay Kumar
M.S.College, Bhagalpur, India
R. K. Choudhry
Department of Mathematics, Bhagalpur University, Bhagalpur-812 007, Bihar, India

Abstract


In order to study the stability in the sense of Lyapunov of the triangular equilibria L4 and L5 in the circular restricted problem of three bodies when both finite masses are radiating, the normalization of the second order terms of the Hamiltonians has been done. Special attention is paid to the problem of determining the curves in the parameter plane along which the system presents resonances of the type (1:1), (1:2) and (1:3).