连续推力机动轨道优化设计的贝塞尔曲线法  

A Novel Bezier Method for Continuous Thrust Maneuver Orbit Optimal Design

作　　者：姚玮[1,2] 罗建军 谢剑锋[2,3] 袁建平 YAO Wei;LUO Jian-jun;XIE Jian-feng;YUAN Jian-ping(School of Astronautics,Northwestern Polytechnical University,Xi'an 710072,China;Science and Technology on Aerospace Flight Dynamics Laboratory,Xi'an 710072,China;Beijing Aerospace Control Center,Beijing 100094,China)

机构地区：[1]西北工业大学航天学院,西安710072 [2]航天飞行动力学技术重点实验室,西安710072 [3]北京航天飞行控制中心,北京100094

出　　处：《宇航学报》2019年第11期1274-1285,共12页Journal of Astronautics

基　　金：国家自然科学基金(61690210,61690211)

摘　　要：提出一种基于贝塞尔曲线的平面机动轨道设计方法。该方法将贝塞尔曲线方程与轨道形状方程相结合,利用得到的复合函数作为轨道方程来对机动轨道进行数学描述;通过约束条件获得可行的机动轨道族,由控制点设计给出具体的优化变量,将累积速度增量作为优化指标函数;并利用优化算法完成参数优化,从而得到最优机动轨道。最后针对设计的机动轨道推力峰值较大的问题,进一步提出了分段贝塞尔曲线法,在降低推力峰值的同时,可进一步降低燃料消耗,并在平面机动转移轨道设计的基础上,通过梯度下降对自由控制点进行修正,解决了考虑时间约束的平面轨道交会问题。A planar maneuver orbit design method based on the Bezier curve is proposed.The method combines the Bezier curve equation with the orbital shape equations,uses the obtained composite function as the transfer orbit equation to describe the maneuver orbit,obtains the feasible maneuver orbit family through the constraint condition,and gives the specific optimization variable through the control point design.Through the calculation of the accumulated velocity pulse,the optimal index function is given and the SA-DE-RM algorithm is used to complete the orbit optimization.A segmented improvement is adopted to reduce the peak value of the thrust and the fuel consumption is further reduced as well.The rendezvous problem is solved by introducing a gradient descent algorithm.

关 键 词：机动轨道设计 贝塞尔曲线 连续推力轨道 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]