THE GRAVITY FIELD OF A CUBE
THE GRAVITY FIELD OF A CUBE
复制标题
DOI：
10.3844/pisp.2012.50.57
复制
发表时间：
2012-02
期刊：
影响因子：
--
通讯作者：
J. M. Chappell;M. Chappell;A. Iqbal;D. Abbott
中科院分区：
文献类型：
--
作者：
J. M. Chappell;M. Chappell;A. Iqbal;D. Abbott
我们计算了一颗立方体均匀小行星的牛顿引力势和引力场，并将其应用到可能的卫星轨道上。大型天体，如恒星或行星，由于引力的支配，自然会形成球状，但作为一种思维实验，我们考虑了完美立方体形式的行星的性质。我们用庞加莱截面方法研究了在静态和旋转立方体情况下，此类立方体周围稳定轨道的形成。非S球状天体周围引力场的计算对于研究需要计算大质量非球体轨道的小行星带天体具有重要的空间意义。这种非球形场的计算还有助于通过测量重力异常来识别地球一侧的矿床或矿层。
We calculate the Newtonian gravitational potential and field of a cubic, homogeneous asteroid and we a pply it to the orbit of possible satellites. Large astronom ical objects such as stars or planets, naturally te nd to form spherical shapes due to the dominance of the gravit ational forces, but as a thought experiment, we con sider the properties of a planet in the form of a perfect cub e. We investigate the formation of stable orbits ar ound such cubic objects, for the case of a static as well as a rotating cube employing the method of Poincare sections. The calculation of the gravitational field around non-s pherical objects has a significant role in space mi ssions to investigate asteroid belt objects that require calc ulating orbits around a large non-spherical mass. T he calculation of such non-spherical fields also has r elevance in identifying deposits or beds of ores in side the Earth, by measuring gravitational anomalies.