Atlas1,439 of 3,942

II.C.94

From Li & Liao (2017)

II.C.94 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 121.15 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 32.67), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00303 of each other at a top speed of 18.2, line up 126 times a period, and the computed loop closes to 7.6×10⁻²⁶.

Measured over one period

Period: 121.1471651
Masses: 1 : 1 : 1
Energy: -1.35820
Angular momentum: 0
Closest approach: 0.003028
Top speed: 18.18
Path length: 305.26
Alignments per period: 126
Topology: abaBAbabABabABAbaBAbabABabaBAbaBABabABabaBAbabABabABAbaBAbabABabABabaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 32.67)
Loop closure: 7.6×10⁻²⁶

Neighbours on the map

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