Solution of the inner version of the problem of three fixed centers

Mathematics

Scientific paper

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Four Body Problem, Orbital Mechanics, Quadratures, Satellite Orbits, Astrodynamics, Center Of Gravity, Fixed Points (Mathematics), Orbit Calculation

Scientific paper

The motion of a satellite in the gravitational field of three fixed
centers is considered in the case when the satellite's orbit is located
entirely within a sphere of a certain radius (internal variant of the
problem). Quadratures are obtained which yield a general solution to
this variant.

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