A NEW APPROACH FOR ANALYTICAL COMPUTATION OF HAMILTONIAN OF A SATELLITE PERTURBED MOTION

The problem of computation of the Hamiltonian for the perturbed motion of an artificial Earth satellite with large eccentricity is considere d. The method of calculation of items of the perturbing function, whic h is presented in the form of Jacobi nome series, is described. Some a dvantages of the new approach to the expansion of the Hamiltonian are shown by computations within computer algebra systems. Mathematical te chniques for computations with elliptic functions, which are used in t he suggested method of Hamiltonian expansion, are considered. Numerica l verification and accuracy checking of analytical results is investig ated by means of computer algebra system MAPLE. (C) 1997 Academic Pres s Limited.