Resonance in the restricted problem of three bodies with short-periodic perturbations

The motion of an asteroid whose mean motion is approximately rational with that of Jupiter has been studied. The series occurring in the problem are expanded in powers of a small parameter epsilon which represents the ratio of the mass of Jupiter to that of the Sun. Perturbations of the osculating elements of the asteroid have also been worked out upto o(epsilonsup(3/2)). (author)