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Dynamic Systems Approach to the Lander Descent Problem

机译:着陆器下降问题的动态系统方法

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This Note considers the descent of a lander from an initial circular orbit to the surface of a planet using gravity turn. By choosing a controller depending upon the flight-path angle, an analytical expression was obtained for the required control as a function of the initial radius and the radius of the planet. With this controller, the system was also shown to possess an interesting geometry. Indeed, the initial circular orbits and, through a proper scaling, the final states at the surface of the planet were shown to be equilibria of the system. The solutions to the problem were then geometrically interpreted as heteroclinic connections between these equilibria. The constant thrust-to-mass controller was treated numerically, and through a proper scaling the required control for a given initial and final radius through one single planar plot was determined.
机译:本说明考虑了利用重力转弯着陆器从初始圆形轨道到行星表面的下降。通过根据飞行路径角度选择一个控制器,可以得到所需控制的解析表达式,该解析表达式是初始半径和行星半径的函数。使用该控制器,该系统还被证明具有有趣的几何形状。确实,最初的圆形轨道以及经过适当缩放的行星表面的最终状态显示为系统的平衡点。然后将问题的解决方案从几何上解释为这些平衡之间的异质联系。对恒定的推力质量控制器进行了数值处理,并通过适当的缩放比例,通过一个平面图确定了给定初始半径和最终半径所需的控制。

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  • 来源
    《Journal of guidance, control, and dynamics》 |2011年第3期|p.911-916|共6页
  • 作者单位

    University of Surrey,Guildford, England GU2 7XH, United Kingdom,Surrey Space Center;

    University of Surrey,Guildford, England GU2 7XH, United Kingdom,Department of Mathematics and Surrey Space Center;

    University of Surrey,Guildford, England GU2 7XH, United Kingdom,Surrey Space Center;

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