Article (Scientific journals)
Exact solution to the relative orbital motion in eccentric orbits
Condurache, Daniel; Martinusi, Vladimir
2009In Solar System Research, 43, p. 41-52
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Abstract :
[en] This paper studies the relative orbital motion between arbitrary Keplerian trajectories. A closed-form vectorial solution to the nonlinear initial value problem that models this type of motion with respect to a noninertial reference frame is offered. Without imposing any particular conditions on the leader or the deputy satellites trajectories, exact expressions for the relative law of motion and relative velocity are obtained in a closed form. This solution allows the parameterization of the relative motion manifold and offers new methods to study its geometrical and topological properties. The result presented in this paper opens the way to obtain new classes of approximate solutions to the equations of relative motion with time, an eccentric or true anomaly as independent variables.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Condurache, Daniel;  Technical University "Gheorghe Asachi" Iasi, Romania > Theoretical Mechanics
Martinusi, Vladimir ;  Technical University "Gheorghe Asachi" Iasi, Romania > Theoretical Mechanics
Language :
English
Title :
Exact solution to the relative orbital motion in eccentric orbits
Publication date :
01 February 2009
Journal title :
Solar System Research
ISSN :
0038-0946
eISSN :
1608-3423
Publisher :
Springer, Dordrecht, Netherlands
Volume :
43
Pages :
41-52
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 10 February 2015

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