基于分段常滑翔角的长航时纵向远程滑翔飞行方程近似解

提出用包含地球旋转效应的n个常滑翔角飞行段近似实际滑翔飞行轨迹的方法。基于该方法推导了长航时纵向远程滑翔飞行轨迹近似解，并给出了各段常滑翔角、滑翔时间的求解方法及整个滑翔轨迹近似计算步骤。文中算例结果表明，该近似求解方法计算得到的滑翔航程和滑翔时间与实际值相差很小，航程误差率约为0．7％，时间误差率约为0．6％，因此该方法在近似小初始滑翔角的长航时远程纵向滑翔飞行时是有效的、可行的，尤其针对航程在地球半圈以上的滑翔飞行轨迹。

The Approximate Solution for Long-Time and Long-Range Longitudinal Gliding Flight Based on Segment Constant Gliding Angle

A method was proposed for approaching the glide trajectories based on n-segment constant gliding angle. It considered the effect of earth rotation. According to the method, the approximate solution for the glide trajectories was established. The approach to calculating the gliding angle and flight time of each segment was given. The procedure for approaching the whole glide trajectory was described. Two examples show that the differences in the gliding range and flight time between the approximate solution and the accurate solution are very small. The error rate in the range is about 0.7% and the error rate in the time is about 0. 6%. Therefore the method is feasible and effective for long-time and long-range longitadinal glide trajectories with initial small gliding angle , especially for the glide trajectories with range greater than half the circumference of the earth.