Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects
Joint Authors
López, Luis M.
San-Juan, Juan Félix
Lara, Martin
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-05
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The long-term effect of lunisolar perturbations on high-altitude orbits is studied after a double averaging procedure that removes both the mean anomaly of the satellite and that of the moon.
Lunisolar effects acting on high-altitude orbits are comparable in magnitude to the Earth’s oblateness perturbation.
Hence, their accurate modeling does not allow for the usual truncation of the expansion of the third-body disturbing function up to the second degree.
Using canonical perturbation theory, the averaging is carried out up to the order where second-order terms in the Earth oblateness coefficient are apparent.
This truncation order forces to take into account up to the fifth degree in the expansion of the lunar disturbing function.
The small values of the moon’s orbital eccentricity and inclination with respect to the ecliptic allow for some simplification.
Nevertheless, as far as the averaging is carried out in closed form of the satellite’s orbit eccentricity, it is not restricted to low-eccentricity orbits.
American Psychological Association (APA)
Lara, Martin& San-Juan, Juan Félix& López, Luis M.. 2012. Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029699
Modern Language Association (MLA)
Lara, Martin…[et al.]. Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects. Mathematical Problems in Engineering No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1029699
American Medical Association (AMA)
Lara, Martin& San-Juan, Juan Félix& López, Luis M.. Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1029699
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029699