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.