The main goal of this paper is to derive the complete solutions of three-dimensional realistic true proportional navigation (3D RTPN) for nonmaneuvering targets. Three coupled nonlinear second-order state equations describing the relative motion are solved analytically without any linearization for performance and trajectory analysis. Properties of 3D RTPN such as capture region, range-to-go, time-to-go, and two aspect angles within spherical coordinates are all obtained in closed form.
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机译：本文的主要目的是获得非机动目标的三维逼真的真实比例导航（3D RTPN）的完整解决方案。通过解析求解描述相对运动的三个耦合的非线性二阶状态方程，无需进行任何线性化即可进行性能和轨迹分析。 3D RTPN的属性（例如捕获区域，可移动范围，可移动时间以及球坐标内的两个纵横角）都是以封闭形式获得的。
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