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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body

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Author(s):
Domingos, R. C. [1] ; Bertachini de Almeida Prado, A. F. [1] ; de Moraes, R. Vilhena [2]
Total Authors: 3
Affiliation:
[1] Inst Nacl Pesquisas Espaciais, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[2] Univ Fed Sao Paulo UNIFESP, BR-12231280 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: MATHEMATICAL PROBLEMS IN ENGINEERING; 2013.
Web of Science Citations: 7
Abstract

The equations for the variations of the Keplerian elements of the orbit of a spacecraft perturbed by a third body are developed using a single average over the motion of the spacecraft, considering an elliptic orbit for the disturbing body. A comparison is made between this approach and the more used double averaged technique, as well as with the full elliptic restricted three-body problem. The disturbing function is expanded in Legendre polynomials up to the second order in both cases. The equations of motion are obtained from the planetary equations, and several numerical simulations are made to show the evolution of the orbit of the spacecraft. Some characteristics known from the circular perturbing body are studied: circular, elliptic equatorial, and frozen orbits. Different initial eccentricities for the perturbed body are considered, since the effect of this variable is one of the goals of the present study. The results show the impact of this parameter as well as the differences between both models compared to the full elliptic restricted three-body problem. Regions below, near, and above the critical angle of the third-body perturbation are considered, as well as different altitudes for the orbit of the spacecraft. (AU)

FAPESP's process: 11/08171-3 - Orbital dynamics of minor bodies
Grantee:Othon Cabo Winter
Support type: Research Projects - Thematic Grants
FAPESP's process: 11/09310-7 - Orbital study of the motion of spacecrafts
Grantee:Antônio Fernando Bertachini de Almeida Prado
Support type: Regular Research Grants