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J2 effect and the collision restricted three-body problem

Author
Barrabés, E.; Cors, J.; Pinyol, C.; Soler, J.
Type of activity
Presentation of work at congresses
Name of edition
XX CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones. X CMA Congreso de Matemática Aplicada
Date of publication
2007
Presentation's date
2007-09
Book of congress proceedings
XX Congreso de Ecuaciones Diferenciales y Aplicaciones. X Congreso de Matemática Aplicada: actas
First page
1
Last page
4
Repository
http://congreso.us.es/cedya2007/actas/textos/140.pdf Open in new window
Abstract
The existence of a new class of inclined periodic orbits of the collision restricted three-body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for special values of the inclination and are related to the motion of a satellite around an oblate planet.
Keywords
Collision restricted three-body problem, continuation method, critical inclination, periodic orbits, symmetric orbits

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