基于对数螺旋线的非开普勒轨道设计

基于形状的方法为非开普勒轨道设计提供了一种全新的研究思路。在假定轨道形状为对数螺旋线的前提下设计了拦截轨道。首先通过无量纲化处理方法推导出了对数螺旋线轨道的地心距、极角随时间的变化率与轨道设计参数q的关系式；其次结合运动方程，得到了飞行器沿对数螺旋线轨道运行时需要施加的推力加速度；接着分别针对初始轨道是圆和椭圆的情况进行机动轨道设计。给出了轨道设计的仿真算例和相关分析，结果表明对数螺旋线适宜于拦截轨道设计；当初始轨道为大偏心率椭圆时，采用此方法设计轨道，在一定相角范围内开始机动，可使飞行器运行时间短，且燃料消耗少。

Logarithmic Spiral-Based Non-Keplerian Orbit Design

Shape-based method is a brand-new and feasible method for Non-Keplerian orbit design.Interception trajectories are designed,while the trajectory shape is assumed as a logarithmic spiral.At the beginning,the relation between the differentiations of radius as well as polar angle with respect to the normalized time and alterable parameter q for orbital design are derived by non-dimensional processing.And then in combination with the equations of motion both the magnitude and direction of acceleration are speci...