Atlas1,948 of 3,915

II.C.170

From Li & Liao (2017)

II.C.170 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 144.78 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.710), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0003 of each other at a top speed of 57.7, line up 302 times a period, and the computed loop closes to 3.4×10⁻²⁵.

Measured over one period

Period: 144.7823792
Masses: 1 : 1 : 1
Energy: -2.09049
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 57.72
Path length: 405.01
Alignments per period: 302
Stability: weakly unstable (|λ|max 1.710)
Loop closure: 3.4×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.