Statistics – Computation
Scientific paper
Aug 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994p%26ss...42..685s&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 42, no. 8, p. 685-689
Statistics
Computation
1
Computational Astrophysics, Evolution (Development), Jupiter (Planet), Kepler Laws, Natural Satellites, Orbit Perturbation, Sun, Three Body Problem, Differential Equations, Hamiltonian Functions, Jacobi Integral
Scientific paper
The orbital evolution of Pasiphae, the 8th satellite of Jupiter, has been investigated. Its osculating orbit for the epoch 29 October 1938 was numerically integrated over the interval of 20,000 years. Within the investigated time interval also the question of the Hill's stability has been studied. The Jacobian constant, generalized to the averaged elliptic problem, calculated from positions and velocities obtained by numerical integration, changes less than the order of 10-8. The dominant perturbations by the Sun to the satellite allow us to use the intermediate orbit of the averaged elliptic three-body problem for investigation of the evolutionary changes in the motion of the satellite. The mean motion of the argument of perijove and the ascending node of the satellite are defined by analytical formulae, using the osculating non-Keplerian ellipse with moving node and perijove, and changing eccentricity. The results obtained according to this theory are comparable with those calculated from the numerical integration.
Pittich Eduard M.
Solovaya Nina A.
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