Universal functions in the study of the relative orbital dynamics

Closed form solutions; Gravitational fields; Kepler equation; Non-linear model; Orbital dynamics; Relative motion; Relative orbit; Universal functions; Astronomy

Abstract :

[en] The closed-form solution to the problem of the relative motion in gravitational fields is expressed with the help of the universal functions. The full nonlinear model of the relative motion is considered, and no linearization or approximation assumptions are made. The results are free of singularities and they hold for any reference and targeted orbits, as well as for any time scale. A unified way to propagate the relative orbit with respect to time is introduced, by making use of the solution to a generalized Kepler equation.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Condurache, Daniel; Department of Theoretical Mechanics, Technical University Gheorghe Asachi, 700050, Iasi, Romania

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

Language :

English

Title :

Universal functions in the study of the relative orbital dynamics

Publication date :

2012

Event name :

1st International Academy of Astronautics Conference on Dynamics and Control of Space Systems, DyCoSS 2012

Event date :

19 March 2012 through 21 March 2012

Audience :

International

Journal title :

Advances in the Astronautical Sciences

ISSN :

0065-3438

Publisher :

Univelt, United States - New York

Volume :

145

Pages :

881-892

Commentary :

96170 9780877035879

Available on ORBi :

since 12 February 2015

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Bibliography

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