MINIMUM VELOCITY INCREMENT SOLUTION FOR TWO-IMPULSE COPLANAR ORBITAL TRANSFER
MINIMUM VELOCITY INCREMENT SOLUTION FOR TWO-IMPULSE COPLANAR ORBITAL TRANSFER
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DOI：
10.2514/3.1551
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发表时间：
1963-02
期刊：
影响因子：
2.5
通讯作者：
S. Altman;J. Pistiner
中科院分区：
文献类型：
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作者：
S. Altman;J. Pistiner
平面轨道转移问题的最一般陈述定义了一个轨迹，其任意指定的端点位于具有不重合拱轴的椭圆（或其他圆锥）轨道上。本文提出了基于最小总速度增量准则的双脉冲轨道转移问题的完整和显式的最优解。通过使用速端图（速度）参数，用于传递的总速度增量被表示为一个独立变量的函数（即，转移轨道速端曲线参数之一）和轨迹终点条件。除了制定一个八阶（octic）多项式方程提供内部最小值，绝对总速度增量最小值是通过比较的速度增量在端点的可变参数范围与那些从octic。作为一种特殊情况，完整的解析解和随之而来的转移特性的图形之间的任何指定的轨道端点躺在圆形轨道转移。
The most general statement of the planar orbital transfer problem defines a trajectory with arbitrarily specified end points located on elliptical (or other conic) orbits with noncoincident apsidal axes. This report presents complete and explicit optimum solutions of the two-impulse orbital transfer problem based on a minimum total velocity increment criterion. By use of hodograph (velocity) parameters, the total velocity increment for transfer is expressed as a function of one independent variable (i.e., one of the transfer orbit hodograph parameters) and the trajectory end-point conditions. In addition to the formulation of an eighth-order (octic) polynomial equation providing interior minima, the absolute total velocity increment minimum is determined by comparing the velocity increments at the end points of the variable parameter range with those obtained from the octic. As a special case, complete analytic solutions and attendant transfer characteristics are presented graphically for transfer between any specified trajectory end points lying on circular orbits.