Computer algebra methods for developing an artificial satellite motion theory within elliptic functions Original Research Article

The problem of developing a semianalytical theory of motion for artificial Earth satellites with large eccentricities is considered using elliptic function techniques. Computer-algebraic methods for symbolic computation of the coefficients of expansion for the disturbing function in multiples of the elliptic anomaly are described. Possibilities of computing analytically the Hamiltonian of a satellite perturbed motion by means of computer algebra are shown. The numerical technique to compute elliptic Hansen coefficients with the help of the Chebyshev approximation is presented.