Abstract

An investigation was performed into the possibilities offered to celestial mechanics by a general purpose symbolic and algebraic manipulation language, in contrast to the classically used Poisson series processors. A package of blocks (routines) has been implemented on the MACSYMA system in order to develop a nonsingular semianalytical theory for the motion of an artificial satellite. Basic blocks generate the special functions that appear in the expansion of the gravitational potential in terms of equinoctial elements. Application blocks generate the literal expressions for the short-periodics and analytically averaged equations of motion (resonant tesserals are included). User inputs include the degree and order of the harmonic and maximum power of the eccentricity. Use of the system will be illustrated.

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