First Order Theory of Perturbed Circular Motion: An Application to Artificial Satellites
This paper describes briefly the particularities of an analytical theory of perturbed circular motion. The main advantage of the solution, expanded in Fourier series and in nonsingular variables, is the presence of iterative formation laws for its coefficients. The theory is then indeed particularly accurate and suitable whatever are the perturbations, their nature and their number. An application to the case of the geosynchronous satellite and the comparison of the results with a nimierical integration show the degree of accuracy of the first-order solution.
KeywordsOrbital Motion Celestial Mechanics Circular Motion Solar Radiation Pressure Artificial Satellite
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