Higher order approximation to the Hill problem dynamics about the libration points
- Lara, M. 1
- Pérez, I.L. 3
- López, R. 2
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1
Universidad Politécnica de Madrid
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2
Centro de Investigación Biomédica de La Rioja
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3
Universidad de La Rioja
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ISSN: 1007-5704
Año de publicación: 2018
Volumen: 59
Páginas: 612-628
Tipo: Artículo
beta Ver similares en nube de resultadosOtras publicaciones en: Communications in Nonlinear Science and Numerical Simulation
Resumen
An analytical solution to the Hill problem Hamiltonian expanded about the libration points has been obtained by means of perturbation techniques. In order to compute the higher orders of the perturbation solution that are needed to capture all the relevant periodic orbits originated from the libration points within a reasonable accuracy, the normalization is approached in complex variables. The validity of the solution extends to energy values considerably far away from that of the libration points and, therefore, can be used in the computation of Halo orbits as an alternative to the classical Lindstedt–Poincaré approach. Furthermore, the theory correctly predicts the existence of the two-lane bridge of periodic orbits linking the families of planar and vertical Lyapunov orbits. © 2017 Elsevier B.V.