Other
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cosre..27..282p&link_type=abstract
Cosmic Res., Vol. 27, No. 3, p. 282 - 289
Other
Artificial Satellites: Motion
Scientific paper
The motion of a spacecraft with a small transverse acceleration is investigated in the Hill problem. The averaged equations of motion are reduced to a system of third-order differential equations. This system allows particular solutions corresponding to plane motion and motion along circular and polar orbits. If the spacecraft orbit is coplanar with the orbit of the perturbing body, the problem reduces to integration of the Riccati equation. General solutions are obtained in two other cases. A classification of the types of motion is presented for the case of the polar orbit. The effect of the collision of the spacecraft with the central body during motion along an outward spiral is observed, analogous to the well-known solution of the twice-averaged restricted three-body problem.
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