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A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body
Joint Authors
de Moraes, Rodolpho Vilhena
Domingos, R. C.
de Almeida Prado, Antonio Fernando Bertachini
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Domingos, R. C.& de Almeida Prado, Antonio Fernando Bertachini& de Moraes, Rodolpho Vilhena. 2013. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008852
Modern Language Association (MLA)
Domingos, R. C.…[et al.]. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1008852
American Medical Association (AMA)
Domingos, R. C.& de Almeida Prado, Antonio Fernando Bertachini& de Moraes, Rodolpho Vilhena. A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008852