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The effect of step-size on the numerical integration of satellite orbits

Published online by Cambridge University Press:  25 May 2016

K.G. Hadjifotinou  and
D. Harper
K.G. Hadjifotinou
Affiliation:
Department of Mathematics, Faculty of Science, Aristotle University of Thessaloniki, 540 06 Thessaloniki, Greece
D. Harper
Affiliation:
Astronomy Unit, School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London E1 4NS, UK

Extract

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This work is a continuation of our study of the efficiency of two well-known methods for the numerical integration of the equations of motion of planetary satellites together with the variational equations of the system. The methods are the 10th-order Gauss-Jackson backward-difference method described in [4, 6] and the Runge-Kutta-Nyström RKN12(10)17M [1].

Type
Part III - Satellites: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 151 - 152
Copyright
Copyright © Kluwer 1996 

References

Dormand, J.R., El-Mikkawy, M.E.A. and Prince, P.J., 1987, IMA J. Num. Analysis 7, 423 CrossRefGoogle Scholar
Hadjidemetriou, J.D., 1988, Periodic Orbits and Stability, ERASMUS ICP-88-0016-GR, Thessaloniki Google Scholar
Hadjifotinou, K.G. and Harper, D., 1995, Astron. Astrophys. 303, 940 Google Scholar
Herrick, S., 1972, Astrodynamics, Vol. 2, ed. Van Nostrand Reinhold Google Scholar
Jorba, A., Ramirez-Ros, R. and Villanueva, J. (Preprint from mp_arc@math.utexas.edu#95-14.) Google Scholar
Merson, R.H., 1974, RAE TR 74184 Google Scholar
Milani, A. and Nobili, A.M., 1988, Celest. Mechan. 43, 1 Google Scholar