Resonance orbit for spacecrafts

It's a necessity of the development of space technologies to establish the theory of non-Keplerian motion for spacecrafts. Resonance orbit, a family of non-Keplerian orbit, is proposed. Resonance is a familiar natural phenomenon. When the resonance happens, small inputs will bring on big changes of the states of the system. The study of this paper indicates that the non-Kepelerian motion of spacecraft under continuous thrust can be viewed as a kind of forced vibrations in parametric plan, and the resonance will happen in special conditions. Therefore, we can study on the motion of spacecrafts using resonance theory, and this kind of non-Keplerian orbit is named resonance orbit. Resonance orbit is studied in this paper. First, the dynamical model for resonance orbit is established via the judicious choice of orbit parameters, time scale, and thrust representation. Then, the characteristic of orbit vibration of spacecrafts under continuous thrust is discussed. The definition and expression of resonance orbit are given. Finally, the method of maneuver orbit design based on resonance orbit is proposed.