Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia
Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia
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DOI：
10.1007/bf00053511
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发表时间：
1996
影响因子：
1.6
通讯作者：
R. A. Werner;D. Scheeres
中科院分区：
文献类型：
--
作者：
R. A. Werner;D. Scheeres
导出了等密度多面体的外引力的解析封闭形式。势、吸引力和重力梯度矩阵的表达式涉及每条边一个对数项和每个面一个反正切项，拉普拉斯算子可用于确定场点是在多面体内部还是外部，这种多面体方法非常适合于评估重力场形状不规则的物体，例如小行星或彗星，传统的谐波和mascon潜在的和吸引力的表达式遭受很大的错误时，评估接近多面体模型的小行星4769卡斯特利亚。
The exterior gravitation of a constant-density polyhedron is derived analytically in closed form. Expressions for potential, attraction, and gravity gradient matrix involve one logarithm term per edge and one arctangent term per face, The Laplacian can be used to determine whether a field point is inside or outside the polyhedron, This polyhedral method is well suited to evaluating the gravitational field of an irregularly shaped body such as an asteroid or comet, Conventional harmonic and mascon potential and attraction expressions suffer large errors when evaluated close to a polyhedral model of asteroid 4769 Castalia.