对数螺旋线非开普勒轨道的可行性分析

提出了基于形状的非开普勒轨道设计方法，并分析了对数螺旋线轨道的应用可行性。 首先在假定轨道形状的前提下，通过变量代换推导出了在极坐标系下一般曲线用于轨道设计 的基本方程；然后分析了对数螺旋线表达式中的关键参数与航迹角的关系，得到了相应轨道 的基本性质；最后对待定参数的对数螺旋线轨道应用的可行性进行了推导和分析，结果显示 采用对数螺旋线设计非开普勒轨道是可行的，但仅适用于从椭圆初始轨道实现转移的情况。

Feasibility of the Logarithmic Spiral Non-Keplerian Orbit

A new approach named shape-based non-Keplerian orbit design method was proposed. The intention of this paper is to analyze the feasibility of the logarithmic spiral orbit. First, the orbit shape was assumed with alterable parameter, under the circumstances, the general equation was presented according to variable transformation in which common curves could be utilized in orbit design with respect to polar coordinates. In addition, essential characteristics of the logarithmic spiral were developed by means of analyzing the relation between the key parameter and flight angle. In the end, the feasibility of non-Keplerian orbit design based on logarithmic spiral was derived and elucidated. The analysis results demonstrate that the application of the logarithmic spiral is feasible in the condition of the initial ellipse orbit.