Behaviour of a new type of Runge Kutta methods when integrating satellite orbits

Details Behaviour of a new type of Runge Kutta methods when integrating satellite orbits Behaviour of a new type of Runge Kutta methods when integrating satellite orbits

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..75...29g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 75, Issue 1, p. 29-38 (1999).

Astronomy and Astrophysics

Astronomy

1

Satellite Orbit Propagation, Linearization, Numerical Comparation, Rkgm Methods, Rkn Codes, Symplectic Integrators

Scientific paper

Recently, González, Martín and Farto have developed new numerical methods (RKGM methods) of Runge Kutta type and fixed step size for the numerical integration of perturbed oscillators. Moreover, it seems natural to study the behaviour of these new methods for the accurate integration of orbital problems after the application of linearizing transformation, such us KS or BF due to the fact that in these variables, the structure of the problem is of the form of perturbed oscillators, for which the methods constructed are indicated. In this paper, we check the efficiency of these new methods when integrating the satellite problem. The RKGM methods show a very good behaviour when they compete with other, classical and special, methods.

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