EFFECT OF THIRD AND FIFTH HARMONICS IN THE DECOMPOSITION OF POWER GRAVITATIONAL FORCE OF A PLANET ON THE MOVEMENT OF ITS SATELLITES.
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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Formulas were obtained for the representation of first order relative to q sub 3 and q sub 5 in expressions of coordinates of a satellite of a nonspherical planet. When deriving these formulas, the decomposition into series by degrees of inclination eccentricities of imperturbed orbits was not used. The final result is presented in form of sums of members of two forms a periodic members, depending only upon sinuses and cosinuses of various multiplicity factors, and b mixed members, equal to the product of periodic members on an imperturbed actual anomaly v. Author
- Celestial Mechanics