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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.)

Lunar gravity assists using patched-conics approximation, three and four body problems

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Author(s):
Negri, Rodolfo Batista [1] ; Sukhanov, Alexander [2] ; Bertachini de Almeida Prado, Antonio Fernando [3]
Total Authors: 3
Affiliation:
[1] INPE, Natl Inst Space Res, Sao Jose Dos Campos - Brazil
[2] Russian Acad Sci, Space Res Inst, Moscow - Russia
[3] Natl Inst Space Res, Sao Jose Dos Campos - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Advances in Space Research; v. 64, n. 1, p. 42-63, JUL 1 2019.
Web of Science Citations: 1
Abstract

The gravity assist is a maneuver greatly applied to space missions, with the main goal of giving or removing energy of a spacecraft through a passage near a celestial body. The patched-conics approximation is the first approximation that is usually considered in the mission planning. It gives a good accuracy in the majority of the situations. However, when using the Moon for the close approach, the results have a tendency to diverge from a more complete three body dynamics. This is due to the large mass of the Moon compared to the Earth. In that sense, the goal of the present paper is to study the errors given by the patched-conics approximation in a lunar gravity assist maneuver. To find those errors we compare the results coming from this approximation with the equivalent results obtained from the circular restricted three body problem and the bi-circular restricted four body problem for a same periselenium condition. This comparison is made in the orbital elements before the maneuver and the C-3 of the spacecraft after the maneuver under the three models considered. Different values for the initial conditions of the spacecraft are used to obtain general conclusions about the behavior of the errors involved. We conclude that there is a tendency to a better agreement between the patched-conics and the three body problem for retrograde transfer orbits. We also find that the effects of the Sun in the maneuver needs to be included only in more accurate steps of the mission. (C) 2019 COSPAR. Published by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 15/19880-6 - Aster project: analysis of the mission to the triple asteroid
Grantee:Antônio Fernando Bertachini de Almeida Prado
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 16/14665-2 - Astrodynamics applied to space vehicles.
Grantee:Antônio Fernando Bertachini de Almeida Prado
Support Opportunities: Regular Research Grants
FAPESP's process: 16/24561-0 - On the relevance of small bodies in orbital dynamics
Grantee:Othon Cabo Winter
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 16/18613-7 - Gravity assisted Orbital Maneuvers for missions to asteroids
Grantee:Rodolfo Batista Negri
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 17/20794-2 - Study of dynamics, guidance and control applied to asteroid deflection
Grantee:Rodolfo Batista Negri
Support Opportunities: Scholarships in Brazil - Doctorate