A new semi-analytical and semi-numerical method for computation of the second order perturbation of artificial earth satellites
Abstract
An analytico-numerical method of calculating the second order perturbation of earth satellites is described. The fundamental elements are the mean elements obtained after subtracting the short period terms from the osculating elements. The secular and long period rates up to third order of the fundamental elements are derived with the numerical averages of the rates of the osculating elements. In computing the rates of the osculating elements, the osculating elements are calculated with the fundamental elements plus the short period terms, where the first order short period terms are obtained by an analytical method, and the second ones by Fourier analysis. An improved Chebyshev iteration process is also developed, which is adapted to the needs of orbit determination in satellite dynamical geodesy.
- Publication:
-
Chinese Astronomy and Astrophysics
- Pub Date:
- December 1978
- Bibcode:
- 1978ChA&A..19..131W
- Keywords:
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- Artificial Satellites;
- Geodetic Satellites;
- Iterative Solution;
- Orbit Calculation;
- Periodic Variations;
- Satellite Perturbation;
- Differential Equations;
- Error Analysis;
- Fourier Analysis;
- Numerical Integration;
- Position Errors;
- Secular Variations;
- Astrodynamics