Atlas2,054 of 3,915

II.C.187

From Li & Liao (2017)

II.C.187 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 193.88 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.014), so a small nudge only makes it wobble. The bodies pass within 0.0000622 of each other at a top speed of 127, line up 404 times a period, and the computed loop closes to 1.2×10⁻²³.

Measured over one period

Period: 193.8770772
Masses: 1 : 1 : 1
Energy: -2.08182
Angular momentum: 0
Closest approach: 6.2×10⁻⁵
Top speed: 126.9
Path length: 531.51
Alignments per period: 404
Stability: stable (|λ|max 1.014)
Loop closure: 1.2×10⁻²³

Neighbours on the map

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