Nonsphericity of the Moon and near Sun-synchronous polar lunar orbits
type: Item
instance of: scholarly article
title: Nonsphericity of the Moon and near Sun-synchronous polar lunar orbits
zbMATH Open document ID: 1188.70052
DOI: 10.1155/2009/740460
author: Jean Paulo dos Santos Carvalho
author: R. Vilhena de Moraes
author: A. F. Bertachini de Almeida Prado
published in: Mathematical Problems in Engineering
publication date: 2010-04-23T00:00:00Z
full work available at URL: https://eudml.org/doc/228365
review text: Summary: 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 (\(J_{2}\)) and the equatorial ellipticity (sectorial term \(C_{22}\)). 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.
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 5700457
Wikidata QID: Q58649475
MaRDI profile type: Publication
OpenAlex ID: W1973994315
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description: scientific article; zbMATH DE number 5700457