Atlas1,764 of 3,915

II.C.200

From Li & Liao (2017)

II.C.200 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 37.421 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 91.78), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00288 of each other at a top speed of 18.7, line up 74 times a period, and the computed loop closes to 4.3×10⁻²⁶.

Measured over one period

Period: 37.42145762
Masses: 1 : 1 : 1
Energy: -2.03825
Angular momentum: 0
Closest approach: 0.002877
Top speed: 18.71
Path length: 107.52
Alignments per period: 74
Stability: unstable (|λ|max 91.78)
Loop closure: 4.3×10⁻²⁶

Neighbours on the map

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