Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites
Ver/
Fecha
2009Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1155/2009/753653
Resumen
Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation t ...
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Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation that connects the averaged and nonaveraged models. A fourth-order analytical theory is necessary for the accurate computation of quasi-periodic frozen orbits. [--]
Materias
Science orbits,
Asteroids,
Perturbations,
Dynamics
Editor
Hindawi Publishing Corporation
Publicado en
Mathematical Problems in Engineering, 2009. Article ID 753653, 18 pgs.
Notas
Parte de este trabajo ha sido presentado en el 20th International Symposium on
Space Flight Dynamics, Annapolis, Maryland, USA, 24–28 de septiembre de 2007.
Departamento
Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática /
Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
Versión del editor
Entidades Financiadoras
This work was supported from Projects ESP 2007-64068 the first author and MTM 2008-03818 the second author of the Ministry of Science and Innovation of Spain is acknowledged.