Numerical Fourier Expansions of the Planetary Disturbing Function |
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| Authors: | Sergei A Klioner |
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| Institution: | (1) Lohrmann Observatory, Dresden Technical University, Mommsenstr 13, 01062 Dresden, Germany |
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| Abstract: | Various Fourier expansions of the planetary disturbing function can be computed numerically with the use of numerical Fourier
analysis. The task to compute the most general five-dimensional Fourier expansion of disturbing function has become feasible
with typical server-class computers quite recently. In such an expansion two anomalies, two arguments of perihelions and two
longitudes of the node are independent angular variables, while two semi-major axes, two eccentricities and two inclinations
are fixed numerically. The semianalytical expansion of the disturbing function resulting from numerical Fourier analysis theoretically
converges for any values of the parameters except for those sets of parameters which allow the bodies to collide. Various
aspects of the numerical computation of the Fourier expansion are discussed. Theoretical and practical convergence of the
Fourier series is discussed and illustrated.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Fourier transformation disturbing function semianalytical theories |
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