ON THE MOTION OF A 24-HOUR SATELLITE

The theory of a 24-hour satellite and the conditions for its stability are given. Bohlin's resonance theory was applied to obtain the solution. It is shown that the integrals of the problem can be represented in the form of a series with respect to the small parameter, w, which would be proportional to the mean motion of the critical argument in a nonresonance case. Expressions for the period of libration and the mean motion of the critical argument in the unstable case, and a system of formulas that can be used in the computation for any particular case, are given.