The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2 : 1 Resonance
Joint Authors
Vilhena de Moraes, R.
Sampaio, J. C.
da Silva Fernandes, Sandro
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-16
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The orbital dynamics of synchronous satellites is studied.
The 2 : 1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one.
In the development of the geopotential, the zonal harmonics J20 and J40 and the tesseral harmonics J22 and J42 are considered.
The order of the dynamical system is reduced through successive Mathieu transformations, and the final system is solved by numerical integration.
The Lyapunov exponents are used as tool to analyze the chaotic orbits.
American Psychological Association (APA)
Sampaio, J. C.& Vilhena de Moraes, R.& da Silva Fernandes, Sandro. 2012. The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2 : 1 Resonance. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1029574
Modern Language Association (MLA)
Sampaio, J. C.…[et al.]. The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2 : 1 Resonance. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1029574
American Medical Association (AMA)
Sampaio, J. C.& Vilhena de Moraes, R.& da Silva Fernandes, Sandro. The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2 : 1 Resonance. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1029574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029574
