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Comparisons of the Cubed-Sphere Gravity Model with the Spherical Harmonics

机译：立方球体重力模型与球谐函数的比较

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摘要

The cubed-sphere gravitational model is a modification of a base model, e.g., the spherical harmonic model, to allow for the fast evaluation of acceleration. The model consists of concentric spheres, each mapped to the surface of a cube and combined with an appropriate interpolation scheme. The paper presents a brief description of the cubed-sphere model and a comparison of it with the spherical harmonic model. The model was configured to achieve a desired accuracy so that dynamical tests, e.g., evaluation of the integration constant, closely approximate that of the spherical harmonic model. The new model closely approximates the spherical harmonic model, with propagated orbits deviating by a fraction of a millimeter at or above feasible Earth-centered altitudes.
机译：立方球体重力模型是对基础模型（例如球谐模型）的修改，可以快速评估加速度。该模型由同心球组成，每个同心球都映射到立方体的表面并与适当的插值方案组合。本文简要介绍了立方球体模型，并将其与球谐模型进行了比较。将该模型配置为实现所需的精度，以使动态测试（例如积分常数的评估）非常接近球形谐波模型的动态测试。新模型与球谐模型非常接近，传播的轨道在可行的以地球为中心的高度或更高的高度处偏离了几毫米。

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    《Journal of guidance, control, and dynamics》 |2010年第2期|p.415-425|共11页
  • 作者

    Brandon A. Jones; George H. Born; Gregory Beylkin;

  • 作者单位

    University of Colorado, Boulder, Colorado 80309 Colorado Center for Astrodynamics Research, Department of Aerospace Engineering Sciences, 431 UCB;

    University of Colorado, Boulder, Colorado 80309 Colorado Center for Astrodynamics Research, Department of Aerospace Engineering Sciences, 431 UCB AIAA;

    University of Colorado, Boulder, Colorado 80309 Department of Applied Mathematics, 526 UCB;

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