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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 the influence of the sun on optimal two-impulse Earth-to-Moon trajectories with moderate time of flight in the three-body and four-body models

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Author(s):
Gagg Filho, Luiz Arthur ; Fernandes, Sandro da Silva
Total Authors: 2
Document type: Journal article
Source: ACTA ASTRONAUTICA; v. 134, p. 197-220, MAY 2017.
Web of Science Citations: 5
Abstract

In this work, a study about the influence of the Sun on optimal two -impulse Earth-to-Moon trajectories for interior transfers with moderate time of flight is presented considering the three-body and the four-body models. The optimization criterion is the total characteristic velocity which represents the fuel consumption of an infinite thrust propulsion system. The optimization problem has been formulated using the classic planar circular restricted three-body problem (PCR3BP) and the planar bi-circular restricted four-body problem (PBR4BP), and, it consists of transferring a spacecraft from a circular low Earth orbit (LEO) to a circular low Moon orbit (LMO) with minimum fuel consumption. The Sequential Gradient Restoration Algorithm (SGRA) is applied to determine the optimal solutions. Numerical results are presented for several final altitudes of a clockwise or a counterclockwise circular low Moon orbit considering a specified altitude of a counterclockwise circular low Earth orbit. Two types of analysis are performed: in the first one, the initial position of the Sun is taken as a parameter and the major parameters describing the optimal trajectories are obtained by solving an optimization problem of one degree of freedom. In the second analysis, an optimization problem with two degrees of freedom is considered and the initial position of the Sun is taken as an additional unknown. (AU)

FAPESP's process: 12/21023-6 - Artificial satellite dynamics
Grantee:Rodolpho Vilhena de Moraes
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 12/25308-5 - DETERMINATION OF OPTIMAL TRAJECTORIES IN THE DYNAMICS OF THE RESTRICTED PROBLEM OF THREE OR FOUR BODIES
Grantee:Luiz Arthur Gagg Filho
Support Opportunities: Scholarships in Brazil - Doctorate