Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.103...17s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 103, Issue 1, pp.17-30
Astronomy and Astrophysics
Astronomy
Relativity, Artificial Satellites, Numerical Methods
Scientific paper
The equations of motion proposed by Brumberg for an artificial satellite around the Earth (Celest Mech Dyn Astron 88:209, 2004), in which the relativistic effects due to the Earth’s oblatness and the gravitational action caused by a third body are added to those perturbations considered in the International Earth Rotation and Reference System Service (2003) convention, are here integrated numerically. To compute the solution of the time-dependent Langrangian system for a gravitational satellite Earth Sun model we consider a six-order partitioned Runge Kutta integrator, whose coefficients satisfy the condition of symplecticity. A comparison with the classical Adams Basforth Moulton method allows to verify the good-performance of the partitioned Runge Kutta method both in the description of the evolution of the satellite energy and in the efficiency of the method when applied to a long-term integration.
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