Computer-developed construction of analytic expressions for the coordinates and partial derivatives of Jupiter's Galilean satellites

Details Computer-developed construction of analytic expressions for the coordinates and partial derivatives of Jupiter's Galilean satellites Computer-developed construction of analytic expressions for the coordinates and partial derivatives of Jupiter's Galilean satellites

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12....5l&link_type=abstract

(International Astronomical Union and COSPAR, Colloquium on Planetary Satellites, 28th, Ithaca, N.Y., Aug. 18-21, 1974.) Celesti

Astronomy and Astrophysics

Astronomy

5

Astronomical Coordinates, Computer Programs, Jupiter (Planet), Natural Satellites, Orbital Elements, Orbital Mechanics, Planetary Mass, Polynomials, Satellite Perturbation, Tables (Data)

Scientific paper

A method for improving Sampson's (1910, 1912, 1921) original work in developing series expressions for accurate coordinates of the Galilean satellites is discussed. The method, which utilizes computer-based algebraic manipulation software, was developed to reconstruct Sampson's theory, remove existing errors, introduce neglected effects, and provide analytic expressions for the coordinates as well as for the partial derivatives with respect to orbital parameters, Jupiter's mass and oblateness, the satellite masses, and Jupiter's pole and rotation period. The software system, capable of handling Poisson series with up to 73 polynomial variables and 28 trigonometric arguments, is described. The preliminary solution is presented, and procedures are outlined for calculating perturbations and eliminating auxiliary parameters.

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