论文标题
通过Sundman不等式的靠近状态的太阳系的大小分析太阳系的大小
Analysis of the size of Solar system close to the state with zero total angular momentum via Sundman inequality
论文作者
论文摘要
在本文中，我们提出了一种新的数学方法或求解程序，以分析Sundman不平等（用于估计太阳系配置的惯性矩，估算Lagrange-Jacobi关系的帮助），这是在未来的最终状态的最终状态下，在未来最终状态的最终状态下，总角度动量降低了零的全角动量。通过假设太阳系的最终状态，我们通过分析Sundman不平等估计了太阳系R的平均尺寸。因此，要回答“第九行星存在于太阳系中吗？”的问题，应该符合第九星球的两个强制性标准，首先是它应该具有相对于不变平面的轨道倾斜的倾斜度。第二个条件是第九行星的轨道应位于太阳系的均匀尺寸的估计中。
In this paper, we present a new mathematical approach or solving procedure for analysis of the Sundman inequality (for estimating the moment of inertia of the Solar system configuration) with the help of Lagrange-Jacobi relation, under additional assumption of decreasing of the total angular momentum close to the zero absolute magnitude in the final state of Solar system in a future. By assuming such the final state for Solar system, we have estimated the mean-size of Solar system R via analysis of the Sundman inequality. So, to answer the question "Does the ninth planet exist in Solar system?", one should meet the two mandatory criteria for such the ninth planet, first is that it should have the negligible magnitude of inclination of its orbit with respect to the invariable plane. The second condition is that the orbit of the ninth planet should be located within the estimation for the mean-size of Solar system R.
