Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cotph..27..361l&link_type=abstract
Commun. Theor. Phys., Vol. 27, No. 3, p. 361 - 366
Astronomy and Astrophysics
Astrophysics
1
Planets: Orbital Elements, Planetary Orbits: Perturbations, Solar Models: Rotation
Scientific paper
The author examines the perturbation effect of rotating solar polytropic model on the variation of planetary orbital elements by the method of general perturbation in celestial mechanics and the polytropic model of gaseous star in astrophysics. The perturbation variables of planetary orbital elements caused by the rotation, oblateness and central density of the Sun for the polytropic index n = 3 are derived. The result shows clearly that the periodic perturbation effects are the orbital elements of all and the secular perturbation effects are the variation of the longitudes of perihelion, the ascending node and the mean anomaly of epoch. Finally, the author applies the obtained theoretical results to a calculation of the variation of orbital elements of four planets. The numerical results are given.
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