HIGH-ORDER F-SERIES AND G-SERIES FOR ORBIT DETERMINATION

The table of coefficients and exponents of the power series f and g up to derivatives of the 20-th order is the main achievement of this pap er. The accuracy of the calculation of orbits has been tested by traci ng the motion of all planets of the Solar System. Special attention ha s been paid to high-eccentricity orbits in the two- or three-body prob lem. Power series from 10th up to 20th order have been used instead of other integration methods.