航天器共振轨道研究

建立航天器非开普勒运动理论是航天技术发展的必然。提出了一类非开普勒轨道——共振轨 道。共振是自然界的一种普遍现象，当发生共振时，很小的输入可以使系统的状态产生较大 变化。研究表明航天器在推力作用下的非开普勒运动在参数平面内可以视为一种受迫振 动，也会发生共振现象。因此，可以利用共振原理来研究航天器的运动，称这样一类非开普 勒轨道为共振轨道。首先通过合理地选择轨道描述参数、时间尺度和推力描述方式建立 航天器共振轨道的动力学模型。然后讨论航天器在推力作用下轨道运动的振动规律，并给出 共振轨道的概念及轨道方程。最后提出基于共振轨道的机动轨道设计方法。

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.