Determination of the dynamical parameters of the Galilean satellites' orbits.
Abstract
Summary. The AdamsMoultonCowell algorithm of numerical integration has been applied to calculate trajectories of the Galilean satellites on a period of about 88 d during the apparition of 1975. Partial derivatives with respect to initial values, and to any physical parameters appearing in the equations of the trajectories can be obtained in a simultaneous numerical integration of variational equations. Thus, corrections to the initial values have been calculated, and contrarily to other methods we have access to corrections of the masses of the satellites, and to Jupiter's oblateness, in the least solution of the equations of condition. Here the results prove the possibility to analyze a short period of observations, and the necessity to connect several oppositions of Jupiter, if we want to obtain accurate determinations of the masses of the satellites, and Jupiter's obiateness. The photographic observations have been obtained by D. Pascu, (United States Naval Observatory, Washington D. C.). The coordinates of the satellites in a jovicentric system have been corrected for phase and differential refraction effects. Key words: galilean satellites  numerical integration
 Publication:

Astronomy and Astrophysics
 Pub Date:
 October 1979
 Bibcode:
 1979A&A....79...84T
 Keywords:

 Galilean Satellites;
 Numerical Integration;
 Orbit Calculation;
 Planetary Orbits;
 Calculus Of Variations;
 Jupiter (Planet);
 Trajectory Analysis;
 JUPITER;
 SATELLITES;
 ORBITS;
 PARAMETERS;
 DYNAMICS;
 DATA;
 TRAJECTORIES;
 OBSERVATIONS;
 ANALYSIS;
 Astronomy; Satellites of Jupiter;
 Galilean Satellites:Orbits