\documentstyle{article}

\title{
The development of poisson series processor on IBM-PC
           and its applications}
\author{
            He Miaofu\\
Shanghai Astronomical Observatory, Chinese Academy of Sciences\\
               Shanghai, 200030, China}
\date{}

\begin{document}
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\maketitle

     In celestial mechanics, the analytical solutions of the perturbed
motion equations for planets, natural satellites and small bodies can
be generally expressed in the form of the Poisson series:

$$  \sum_{i_1...i_n} \sum_{j_1...j_n} C P_{1}^{i_1} P_{2}^{i_2} ... P_{n}^{i_n}\\
{cos\over sin}(j_1 M_1 + j_2 M_2 + ... + j_n M_n )$$

where $i_1, ... i_n; j_1, ... j_n$ are integers, C is numerical coefficient, P's are
polynomial variables, M's are angular variables.
     For algebraic and symbolic manipulation of Poisson series, several
general purpose processors have been programmed. Among them, Broucke's
package written in FORTRAN language and coded on CYBER 170/750 computer
has been well adapted.
     For the convenience of its practical applications, we have
implanted Broucke's package on IBM-PC with the software improvments,
including changing and rewriting some subroutines, especially those
related to output which are machine-dependent.
    Using this new coding, the analytical perrturbative expressions of
near earth satellites due to non-spherical part of the earth gravity 
field as well as Hansen type and Hill type general perturbations of the
asteroids of Flora and Hungaria groupes due to Jupiter have been
printed out.

References:


 Broucke R., 1980, "A FORTRAN-4 System For the Manipulation of Symbolic
Poisson Series With Applications to Celestial Mechanics", IASOM TR80-3,
Institute For Advanced Study in Orbital Mechanics, the University Of
Texas at Austin.

Henrard J., 1989, "A Survey Poisson Series Processors3, Celestial
Mechanics, 45, 245-253

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