Abstract
The fundamental equations of entry at constant lift-drag (L/D) ratio are not solvable analytically. However, by restricting the equations in a limited region of application, several first-order approximate analytical solutions were obtained in the last few years. These solutions include those of Gazley,3 Alien and Eggers,4'5 Chapman,6 Lees,7 Ting,8 Loh,9 and Arthur.10 For variable L/D ratio where the L/D ratio can be varied in a specified way, Loh's exact analytical solutions are available.11 Only recently, a second-order solution of entry mechanics was developed by Loh.2 Although this solution is valid for the entire region, and it can be reduced either analytically or numerically to all the first-order solutions mentioned previously, it is limited to nonoscillator y-type entry trajectory applications. Up to the present time, all oscillatory-type trajectories can only be calculated by electronic computers. It is the purpose of the present paper to extend the second-order analytical solution to be applicable to both circular and supercircular oscillatory-type entry trajectories. Therefore, the present solution offers for the first time an analytical solution for oscillatory entry trajectories.
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