Tables of the disturbing function for resonant asteroids

Statistics – Computation

Scientific paper

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Asteroids, Disturbing Functions, Orbital Resonances (Celestial Mechanics), Astrometry, Computational Astrophysics, Orbit Perturbation

Scientific paper

Tables of coefficients of the disturbing function calculated at resonant value of semimajor axes are presented for resonances (p + q)/p, where (p + q) less than 8. For given combination of angular variables and degrees of eccentricities e,e-prime and degrees of sin 1/2i, sin1/2i-prime, the corresponding coefficients of the Poisson series for the disturbing function are tabulated. These results were obtained by the program written in C language. The program can be employed for obtaining much more extensive tables into account higher degrees in eccentricities and inclinations. The highest degree of tabulated terms in 4. These coefficients are needed for mapping calculations.

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