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Third body perturbation using a single averaged model considering elliptic orbits for the disturbing body

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Author(s):
Domingos, Rita de C. ; de Moraes, Rodolpho V. ; de Almeida Prado, A. F. B. ; Seago, JH ; Neta, B ; Eller, TJ ; Pelletier, FJ
Total Authors: 7
Document type: Journal article
Source: ASTRODYNAMICS 2018, PTS I-IV; v. 130, p. 2-pg., 2008-01-01.
Abstract

In the present work, we expanded the study done by Solorzanol(1) including the eccentricity of the perturbing body. The assumptions used to develop the single-averaged analytical model are the same ones of the restricted elliptic three-body problem. The disturbing function was expanded in Legendre polynomials up to fourth-order. After that, the equations of motion are obtained from the planetary equations and we performed a set of numerical simulations. Different initial eccentricities for the perturbing and perturbed body are considered. The results obtained perform an analysis of the stability of a near-circular orbits and investigate under which conditions this orbit remain near-circular. (AU)

FAPESP's process: 06/04997-6 - Close approach problems in orbital dynamics
Grantee:Rodolpho Vilhena de Moraes
Support Opportunities: Research Projects - Thematic Grants