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Solutions Of The Sitnikov Restricted Four Body Problem: An analytic approximate solution of the Sitnikov four body problem - Couverture souple

Suraj, Md. Sanam

 
9783659230585: Solutions Of The Sitnikov Restricted Four Body Problem: An analytic approximate solution of the Sitnikov four body problem
Couverture souple
ISBN 10 : 3659230588 ISBN 13 : 9783659230585
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Solutions of the Sitnikov restricted four body problem have been found when all the primaries are sources of radiation. We have found the averaged Hamiltonian of the system and its solution in term of Elliptic integrals. Using Lindstedt-Poincare method, we have obtained the solutions of Hill's equation. By using Courant and Snyder transformation we have solved the Harmonic oscillator type equation, transformed by Hill’s Equation. As we are dealing with the elliptic case of the Sitnikov four body problem, the Equation [2.53] is unperturbed system. There is the perturbation in the z-direction as well. It is observed that the effect of nonlinear term is to shift the frequency as a function of the amplitude and to distort the trajectory z(t), introducing harmonics of the shifted linear oscillator frequency. In Chapter-4, the problem is being investigated by two different methods: (1) Solutions by Lindstedt-Poincare method, (2) Solutions by using Green’s function. This book is extremely useful to post graduate students, research scholars, scientists who are interested in restricted three body problem and Sitnikov problem.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Solutions of the Sitnikov restricted four body problem have been found when all the primaries are sources of radiation. We have found the averaged Hamiltonian of the system and its solution in term of Elliptic integrals. Using Lindstedt-Poincare method, we have obtained the solutions of Hill's equation. By using Courant and Snyder transformation we have solved the Harmonic oscillator type equation, transformed by Hill’s Equation. As we are dealing with the elliptic case of the Sitnikov four body problem, the Equation [2.53] is unperturbed system. There is the perturbation in the z-direction as well. It is observed that the effect of nonlinear term is to shift the frequency as a function of the amplitude and to distort the trajectory z(t), introducing harmonics of the shifted linear oscillator frequency. In Chapter-4, the problem is being investigated by two different methods: (1) Solutions by Lindstedt-Poincare method, (2) Solutions by using Green’s function. This book is extremely useful to post graduate students, research scholars, scientists who are interested in restricted three body problem and Sitnikov problem.

Biographie de l'auteur

Dr. Md Sanam Suraj is an Assistant professor in the University of Delhi, Delhi, India. He is well known Celestial Mechanist. He is specialized in the restricted three body problem and the Sitnikov problem.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659230588
ISBN 13 
9783659230585
Reliure
Broché
Nombre de pages
168
Coordonnées du fabricant
non disponible
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