The evolution of orbits in the twice-averaged Hill problem under the influence of small transverse acceleration

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Hill Method, Orbit Calculation, Satellite Orbits, Astrodynamics, Differential Equations, Evolution (Development), Polar Orbits, Riccati Equation, Three Dimensional Motion

Scientific paper

The motion of a spacecraft with small transverse acceleration in the
Hill problem is studied. The averaged equations of the three-dimensional
motion are applied to a set of third-order differential equations. This
set permits partial solutions corresponding to two-dimensional motion
and to motion in circular and polar orbits.

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