实现显式数值方法的少体天体系统积分
Integration of Few Body Celestial Systems Implementing Explicit Numerical Methods
摘要:
$N$ -体问题具有历史意义,因为它是牛顿动力学定律在描述太阳系中的第一个应用。受此启发,该项目的目标是重新审视这个问题的小$N$,并找到一个解决方案的特定的两体和三体配置的轨道,以及我们的太阳系的行星轨道使用四阶龙格库塔显式迭代方法。我们发现我们的结果与网上找到的行星轨迹有充分的一致性。
英文摘要:
The $N$-body problem is of historical significance because it was the first implementation of the Newtonian dynamical laws for the description of our Solar System. Motivated by this, the project's goal is to revisit this problem for small $N$ and find a solution for the trajectories of specific two-body and three-body configurations as well as the planetary orbits of our Solar System using a fourth order Runge-Kutta explicit iterative method. We find an adequate agreement in our results with planetary trajectories found online.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。