First-order accurate theory of perturbed circular motion

Details First-order accurate theory of perturbed circular motion First-order accurate theory of perturbed circular motion

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..58..125b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 58, no. 2, p. 125-138

Astronomy and Astrophysics

Astronomy

4

Circular Orbits, Orbit Perturbation, Satellite Orbits, Euler-Lagrange Equation, Fourier Series, Iterative Solution, Numerical Integration, Perturbation Theory

Scientific paper

This paper presents a basic frame applicable to any perturbed circular motion in any orbital inclination, and a method of resolution leading to a formal solution given here to the first order. The main advantage of the solution, expanded in Fourier series and non-singular variables, is the presence of iterative formation laws for its coefficents. The theory is then particularly accurate and suitable for various periodic perturbations. The comparison of the results with a numerical integration is convincing.

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