Closed-form solutions for satellite relative motion in an axially-symmetric gravitational field

Absolute-motion; Central force field; Closed form solutions; Equatorial orbits; Gravitational fields; High-order; Keplerian motion; Relative motion; Superintegrability; Gravitational effects; Mechanics; Space flight; Astronomy

Abstract :

[en] A different approach is proposed for the study of satellite relative motion in an axially-symmetric gravitational field. Instead of using the Keplerian motion as the generating nominal orbit for the absolute motion, another "unperturbed" orbit is proposed instead: An equatorial orbit about an oblate planet. Based on the superintegrability of such motion, closed-form solutions for the equatorial relative motion are obtained. Analytic conditions for the periodicity of the relative motion in a generic central force field are presented, and utilized to design long-term bounded relative motion under high-order even zonal perturbations.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Martinusi, Vladimir ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Gurfil, P.; Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa 32000, Israel

Language :

English

Title :

Closed-form solutions for satellite relative motion in an axially-symmetric gravitational field

Publication date :

2011

Event name :

21st AAS/AIAA Space Flight Mechanics Meeting

Event date :

13 February 2011 through 17 February 2011

Audience :

International

Journal title :

Advances in the Astronautical Sciences

ISSN :

0065-3438

Publisher :

Univelt, United States - New York

Volume :

140

Pages :

1525-1544

Funders :

AAS - American Astronomical Society [US-DC]
AIAA - American Institute of Aeronautics and Astronautics [US-VA]

Commentary :

86783 9780877035695

Available on ORBi :

since 12 February 2015

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