Higher order approximation to the Hill problem dynamics about the libration points

•A higher order, perturbation solution to the Hill problem is computed.•The solution is valid for the dynamics about the libration points.•The analytical solution captures all the relevant periodic orbits. An analytical solution to the Hill problem Hamiltonian expanded about the libration points has...

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Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 59; pp. 612 - 628
Main Authors:	Lara, Martin, Pérez, Iván L., López, Rosario
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.06.2018 Elsevier Science Ltd
Subjects:	Approximation Complex variables Floating point arithmetic Hill’s problem Hopf variables Lagrangian equilibrium points Libration Libration points Nonlinear equations Orbits Periodic orbits Perturbation methods Perturbation theory Studies Perturbation theory Hill’s problem Periodic orbits Libration points Complex variables Floating point arithmetic Hopf variables
ISSN:	1007-5704, 1878-7274
Online Access:	Get full text
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