A computerized algebraic utility for the construction of a first order analytical orbit prediction
Abstract
A method for deriving a first-order nonsingular analytical orbit predictor applicable to lunar and planetary orbiters is presented which is based on the use of the stroboscopic method and a computerized algebraic utility, MACSYMA. In particular, the MACSYMA utility is used to produce canonical decompositions of the first-order increments of the orbital elements and the time over one revolution for a satellite whose motion is perturbed by some conservative accelerations. The expressions are successfully verified against numerical integration.
- Publication:
-
Lausanne International Astronautical Federation Congress
- Pub Date:
- October 1984
- Bibcode:
- 1984laus.iafcS....H
- Keywords:
-
- Computerized Simulation;
- Orbit Calculation;
- Orbital Elements;
- Program Verification (Computers);
- Satellite Orbits;
- Symbolic Programming;
- Algebra;
- Error Analysis;
- High Level Languages;
- Lunar Orbits;
- Numerical Integration;
- Orbit Perturbation;
- Planetary Orbits;
- Recursive Functions;
- Run Time (Computers);
- Astrodynamics