A unified approach for the application of general perturbation theories to the artificial satellite problem
Abstract
An Encke-type method is developed as well as a variation of parameters method, both of which use a non-Keplerian reference orbit. The regularized time is used in the numerical integration and the optimum value of n is found for each type of orbit investigated. Accuracy and computation time comparisons are made with a classical Cowell method. It should be noted that the element formulations developed and tested were found to be exceptionally numerically stable in the sense that it was possible to achieve numerical consistency order of very long integration periods - a property not available with the Cowell formulation - and therefore these formulations may be helpful for high precision calculations.
- Publication:
-
Amsterdam International Astronautical Federation Congress
- Pub Date:
- September 1974
- Bibcode:
- 1974amst.iafcR....A
- Keywords:
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- Numerical Integration;
- Orbit Calculation;
- Orbital Elements;
- Perturbation Theory;
- Satellite Perturbation;
- Encke Method;
- Error Analysis;
- Independent Variables;
- Orbit Perturbation;
- Position Errors;
- Run Time (Computers);
- Tables (Data);
- Astrodynamics