Exact solution to the relative orbital motion in a central force field

Central force field; Closed-form expression; Exact solution; Non-linear model; Orbital motions; Relative motion; Satellite constellations; Satellite formation flying; Space flight; Space stations

Abstract :

[en] The paper presents the exact solution to the relative orbital motion that takes place in a central force field.This problem is a generalization of the problem of the Keplerian relative motion in a central force field. The solution is presented in a coordinate free vectorial form, offering closed form expressions for the law of motion and the velocity. The solution is offered to the non-linear model of the relative motion problem, and itgeneralizes the solutions found by Clohessy-Wiltshire, Lawden and Tschauner-Hempel for the case of the Keplerian relative motion. The applications of this problem are in satellite formation flying, satellite constellations and orbital rendezvous.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Condurache, D.; Technical University Gheorghe Asachi, Lasi, Romania

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

Title :

Exact solution to the relative orbital motion in a central force field

Publication date :

2008

Event name :

2008 2nd International Symposium on Systems and Control in Aerospace and Astronautics, ISSCAA 2008

Event date :

10 December 2008 through 12 December 2008

Audience :

International

Main work title :

2nd International Symposium on Systems and Control in Aerospace and Astronautics, 2008. ISSCAA 2008.

Publisher :

IEEE

ISBN/EAN :

978-1-4244-3908-9

Additional URL :

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=4776296&searchWithin%3Dp_Authors%3A.QT.Martinusi%2C+V..QT.%26searchWithin%3Dp_Author_Ids%3A38189625900

Available on ORBi :

since 12 February 2015

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