Analytical construction of an optimal orbit in the case of secular perturbations due to the earth's oblateness and outer bodies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Elliptical Orbits, Equatorial Orbits, Oblate Spheroids, Orbit Perturbation, Secular Variations, Transfer Orbits, Earth Orbits, Impulses, Kepler Laws, Long Term Effects, Lunar Gravitational Effects, Optimization, Orbital Mechanics, Perigees, Solar Gravitation

Scientific paper

The paper describes the analytical construction of an optimal two-impulse transfer in the equatorial plane between low-eccentricity elliptical orbits, with allowance for secular perturbations due to the earth's oblateness and lunar and solar gravitational effects. The problem is solved with an accuracy to first-order terms, and the optimal value of the angular distance of the pericenter of the transfer orbit is determined.

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