ON THE STABILITY OF MOTION OF ARTIFICIAL MOON SATELLITES (K VOPROSU OB USTOICHIVOSTI DVIZHENIYA ISKUSSTVENNYKH SPUTNIKOV LUNY),
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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In the paper the motion of four lunar satellites is investigated by numerical integration with the object of elucidating the boundaries of stable motion. The interaction of the gravitational field of the moon with the gravitational field of the earth determines the existence of two spheres which are of direct interest from the point of view of the stability of motion of artificial moon satellites. The first sphere determines the region of space within which the moons gravity is more powerful than the earths gravity. The radius of this sphere is given by rho sub 1 a sub 1 m sub 2m sub 1 to 12 power 24.54 lunar radii, where m sub 1 and m sub 2 are the mass of the earth and moon respectively, and a sub 1 is the semi-major axis of the lunar orbit. In the paper the following numerical values have been assumed for these constants m sub 2m sub 1 181.375, a sub 1 384,400 Km. The second sphere is the moons sphere of influence, and its radius is determined by the equation rho sub 2 a sub 1 m sub 2m sub 1 to 25 power 66200 Km 38.10 lunar radii.