Atlas1,559 of 3,942

II.C.195

From Li & Liao (2017)

II.C.195 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 40.305 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 1843), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0155 of each other at a top speed of 8.14, line up 58 times a period, and the computed loop closes to 9.8×10⁻²⁷.

Measured over one period

Period: 40.30529483
Masses: 1 : 1 : 1
Energy: -1.69495
Angular momentum: 0
Closest approach: 0.01554
Top speed: 8.141
Path length: 111.27
Alignments per period: 58
Topology: abaBAbaBAbaBAbabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 1843)
Loop closure: 9.8×10⁻²⁷

Neighbours on the map

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