Automatic rendering of astrodynamics expressions for efficient evaluation

In this paper, we describe the automatic rendering of expressions computed using symbolic manipulation. Computations from astrodynamics frequently can be put in a fixed hierarchy of polynomials and Fourier series. Once in thi s form, FORTRAN subprograms can be generated automatically in a form that l ends itself to numerical evaluation. The goal of the current work is to pre sent an approach for using symbolic manipulation techniques to produce a Fo rtran representation of the normalized Hamiltonian and other supporting equ ations representing as many of the actual physical effects on satellites as possible.