Atlas1,916 of 3,942

II.C.197

From Li & Liao (2017)

II.C.197 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 25.84 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 403), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000908 of each other at a top speed of 105, line up 70 times a period, and the computed loop closes to 2.4×10⁻²⁴.

Measured over one period

Period: 25.83963907
Masses: 1 : 1 : 1
Energy: -2.45428
Angular momentum: 0
Closest approach: 9.1×10⁻⁵
Top speed: 105.0
Path length: 76.215
Alignments per period: 70
Topology: aabaBABAbabABABababABABabaBABAbabbaBABAb (free-group class)
Stability: unstable (|λ|max 4030)
Loop closure: 2.4×10⁻²⁴

Neighbours on the map

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