The differential pursuit game in the gravitation field

A pursuit game of two uniform objects in the gravitational attraction field is considered. It is supposed that the game runs through slim spherical layers and the control engines work uninterruptedly and produce in quantity constant powers, so that the control functions are only the orientational angles. Using R. Ajzek’s ‘`Fundamental equation", we receive an analytical correlation for the search of the game’s price and for some elementary positions – the evident expression of the game's price.