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The Post Newtonian Effects: In the Critical Inclination Problem in Artificial Satellite Theory - Couverture souple

Abd El-Salam, Fawzy

 
9783330796997: The Post Newtonian Effects: In the Critical Inclination Problem in Artificial Satellite Theory
Couverture souple
ISBN 10 : 3330796995 ISBN 13 : 9783330796997
Editeur : Noor Publishing, 2016

Synopsis

This work deals with the critical inclination problem in artificial satellite theory and the PN effects on it. It is carried out within the domain of Hamiltonian mechanics and is expressed in terms of the Delaunay variables using a perturbation approach based on Lie series and Lie transform and it is modified to suit the application in resonance cases using the Bohlin's technique. The short and long periodic terms are eliminated, and the elements of these transformations are obtained. The secular perturbations are derived and a method is outlined for the computation of position and velocity. Near the critical inclination, the Hamiltonian is reformed so as to consider the PN terms as being of order. The modified technique is applied to perform the long period transformation near the critical inclination. The solution is expressed in terms of elliptic (and like) integrals and elliptic functions. The elements of the transformation are formed and the motion of the perigee is analyzed.

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

Présentation de l'éditeur

This work deals with the critical inclination problem in artificial satellite theory and the PN effects on it. It is carried out within the domain of Hamiltonian mechanics and is expressed in terms of the Delaunay variables using a perturbation approach based on Lie series and Lie transform and it is modified to suit the application in resonance cases using the Bohlin's technique. The short and long periodic terms are eliminated, and the elements of these transformations are obtained. The secular perturbations are derived and a method is outlined for the computation of position and velocity. Near the critical inclination, the Hamiltonian is reformed so as to consider the PN terms as being of order. The modified technique is applied to perform the long period transformation near the critical inclination. The solution is expressed in terms of elliptic (and like) integrals and elliptic functions. The elements of the transformation are formed and the motion of the perigee is analyzed.

Biographie de l'auteur

F. A. Abd El-Salam is a professor of space dynamics at Cairo university, Egypt, and at Taibah university, Saudi Arabia. He is interested in celestial mechanics, Artificial satellite theory, Fraction calculus application. He has about 70 scientific articles, published in international refereed journals And 10 published articles in public affairs.

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

Éditeur
Noor Publishing
Date d'édition
2016
Langue
anglais
ISBN 10 
3330796995
ISBN 13 
9783330796997
Reliure
Broché
Nombre de pages
196
Coordonnées du fabricant
non disponible
Personne responsable
non disponible