Atlas1,912 of 3,915

II.C.282

From Li & Liao (2017)

II.C.282 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 161.32 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 5.535), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000344 of each other at a top speed of 171, line up 344 times a period, and the computed loop closes to 6.5×10⁻²³.

Measured over one period

Period: 161.3204582
Masses: 1 : 1 : 1
Energy: -2.11867
Angular momentum: 0
Closest approach: 3.4×10⁻⁵
Top speed: 170.6
Path length: 451.04
Alignments per period: 344
Stability: weakly unstable (|λ|max 5.535)
Loop closure: 6.5×10⁻²³

Neighbours on the map

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