Analytic Model for The Motion About An Oblate Planet in The Presence Atmospheric Drag

Martinusi, Vladimir; Dell'Elce, Lamberto; Kerschen, Gaëtan

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Analytic Model for The Motion About An Oblate Planet in The Presence Atmospheric Drag

Martinusi, Vladimir; Dell'Elce, Lamberto; Kerschen, Gaëtan

2015 • In Advances in The Astronautical Sciences

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https://hdl.handle.net/2268/164353

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Keywords :

atmospheric drag; oblateness effect; analytic model

Abstract :

[en] The paper introduces a new model for the motion about an oblate planet under the influence of the atmospheric drag. Both qualitative and quantitative insights are revealed, as well as closed-form equations of motion. The main tool consists in averaging the effects of both perturbations (oblateness and drag), and deriving the variational equations for the vectorial orbital elements. The model is singularity-free and may serve as an initial guess for control problems, as well as an analytic propagator.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

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

Dell'Elce, Lamberto ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

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

Language :

English

Title :

Analytic Model for The Motion About An Oblate Planet in The Presence Atmospheric Drag

Publication date :

2015

Event name :

2nd IAA Conference on Dynamics and Control of Space Systems

Event organizer :

International Astronautical Academy, American Astronautical Society

Event place :

Rome, Italy

Event date :

24-03-2014 to 26-03-2014

Audience :

International

Main work title :

Advances in The Astronautical Sciences

Publisher :

Univelt, Inc, San Diego, CA, United States

Available on ORBi :

since 18 March 2014

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Bibliography

D. Brouwer and G.-I. Hori, "Theoretical evaluation of atmospheric drag effects in the motion of an artificial satellite," The Astronomical Journal, Vol. 66, June 1961, p. 193, 10.1086/108399.
D. Brouwer, "Solution of the problem of artificial satellite theory without drag," The Astronomical Journal, Vol. 64, Nov. 1959, p. 378.
D. Mittleman and D. Jezewski, "An analytic solution to the classical two-body problem with drag," Celestial Mechanics, Vol. 28, Dec. 1982, pp. 401-413.
N. X. Vinh, J. M. Longuski, A. Busemann, and R. D. Culp, "Analytic theory of orbit contraction due to atmospheric drag," Acta Astronautica, Vol. 6, June 1979, pp. 697-723.
G. Xu and J. Xu, Orbits. Springer Berlin Heidelberg, 23nd ed., 2013.
D. Hestenes, New Foundations for Classical Mechanics. Kluwer, 1999.
D. A. Vallado, Fundamentals of Astrodynamics and Applications. Microcosm, Second Edition, 2001.
D. Condurache and V. Martinusi, "Analytical Orbit Propagator Based on Vectorial Orbital Elements," AIAA Guidance, Navigation and Control Conference, Boston, MA, August 2013. Paper AIAA-2013-5188.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York, 1964.
R. H. Battin, An Introduction to the Mathematics and Methods of Astrodynamics. AIAA, Reston, VA, 1999.
H. Schaub and J. Junkins, Analytical Mechanics of Space Systems. AIAA, New York, 2003.