Short-periodic variations and second-order numerical averaging
Abstract
The principal disadvantage of the method of numerical averaging is that it provides only the average time history of the orbital elements and yields no information about the high-frequency or short-periodic variations that occur inside the averaging interval. This paper contains a description of a technique for recovering the short-periodic variations by minor modifications to the averaging process so as to permit the construction of a Fourier series for the osculating elements. The availability of this series permits the extension of the averaging technique to higher order and allows us to account for short-periodic coupling of the perturbations. Comparisons of the results with numerically integrated solutions are presented for three distinct orbit prediction problems.
- Publication:
-
AIAA, 13th Aerospace Sciences Meeting
- Pub Date:
- January 1975
- Bibcode:
- 1975aiaa.meetS....L
- Keywords:
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- Fourier Analysis;
- Orbit Calculation;
- Periodic Variations;
- Prediction Analysis Techniques;
- Algorithms;
- Chebyshev Approximation;
- Earth Orbits;
- Equations Of Motion;
- Astrodynamics