Atlas2,125 of 3,915

II.C.42

From Li & Liao (2017)

II.C.42 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 66.809 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 1.033), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000023 of each other at a top speed of 659, line up 122 times a period, and the computed loop closes to 5.3×10⁻²¹.

Measured over one period

Period: 66.80920623
Masses: 1 : 1 : 1
Energy: -1.89562
Angular momentum: 0
Closest approach: 2.3×10⁻⁶
Top speed: 659.4
Path length: 168.40
Alignments per period: 122
Stability: weakly unstable (|λ|max 1.033)
Loop closure: 5.3×10⁻²¹

Neighbours on the map

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