Abstract: The object of this research are orbital elements of Jupiter (length of the semimajor axis of the orbit, eccentricity, orbital period, longitude of the ascending node and argument of perihelion) and dynamics of its movement. Special attention is paid to comparison of the ephemeris of Jupiter provided by various institutions and analysis of their compliance with the laws of Kepler's motion. The relevance of this topic is substantiated by the ever-expanding scale of space exploration, which requires high accuracy in calculating the celestial bodies ephemeris. For solution of the indicated proble, the author applies the method of physical modeling based on Kepler's laws, which provides for the sequential calculation of the parameters of motion (speed and length of the radius vector) of a celestial body. The conducted research demonstrates that the known orbital elements of Jupiter, as well as the orbital elements calculated from its available ephemeris, do not accurately describe its orbital motion. Based on the calculations performed, the author offers updated values of the large semi-axis of the orbit (778080000 km) and the eccentricity (0.04901).

Keywords: sidereal period of revolution, eccentricity, large semi-axis, Kepler's motion, model of orbital motion, ephemeris, orbital elements, Jupiter, animalistic period of revolution, argument of perihelion