Triple collision orbits in the free-fall three-body system without binary collisions

作者：Li, Xiaoming; Li, Xiaochen^*; He, Linghui; Liao, Shijun^*

来源：CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2021, 133(10): 46.

DOI：10.1007/s10569-021-10044-6

• Free-fall three-body problem
• Triple collision
• Symbol sequences

We numerically investigate triple collision orbits of the free-fall three-body system which has no double collisions before three bodies collide. Triple collision is an important property of the three-body system. Tanikawa, Saito, Mikkola (Celest Mech Dyn Astron 131(6):24, 2019) obtained 11 triple collision orbits without double collision for the free-fall three-body problem. In this paper, we present 1658 triple collision orbits including the Lagrange's homothetic solution, 11 ones found by Tanikawa et al. (2019) and 1646 new triple collision orbits. The symbol sequences of these 1646 new triple collision orbits have digits that range between 1 and 120. With our high-precision results, numerical evidences of the asymptotic property of triple collision orbits are given.

• 单位
  上海交通大学