Nonsphericity of the Moon and Near Sun-Synchronous Polar Lunar Orbits-Reference-Cited by-同舟云学术

Nonsphericity of the Moon and Near Sun-Synchronous Polar Lunar Orbits

Published:2009 Issue: Volume:2009 Page:1-24
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Carvalho Jean Paulo dos Santos¹,de Moraes Rodolpho Vilhena¹,de Almeida Prado Antônio Fernando Bertachini²

Affiliation:

1. UNESP—Universidade Estadual Paulista, CEP 12516-410, Guaratinguetá-SP, Brazil

2. Division of Space Mechanics and Control—INPE, CEP 12227-010, São José dos Campos, SP, Brazil

Abstract

Herein, we consider the problem of a lunar artificial satellite perturbed by the nonuniform distribution of mass of the Moon taking into account the oblateness (J2) and the equatorial ellipticity (sectorial termC22). Using Lie-Hori method up to the second order short-period terms of the Hamiltonian are eliminated. A study is done for the critical inclination in first and second order of the disturbing potential. Coupling terms due to the nonuniform distribution of mass of the Moon are analyzed. Numerical simulations are presented with the disturbing potential of first and second order is. It an approach for the behavior of the longitude of the ascending node of a near Sun-synchronous polar lunar orbit is presented.

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2009/740460.pdf

Reference23 articles.

1. IAU Colloquium, no. 196,2005

2. Analytical theory of a lunar artificial satellite with third body perturbations

3. The combined effect of J2 and C22 on the critical inclination of a lunar orbiter

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