Atlas1,399 of 3,942

II.C.208

From Li & Liao (2017)

II.C.208 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 100.32 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 23.66), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0347 of each other at a top speed of 5.38, line up 94 times a period, and the computed loop closes to 2.7×10⁻²⁷.

Measured over one period

Period: 100.3150105
Masses: 1 : 1 : 1
Energy: -1.27521
Angular momentum: 0
Closest approach: 0.03465
Top speed: 5.382
Path length: 256.24
Alignments per period: 94
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 23.66)
Loop closure: 2.7×10⁻²⁷

Neighbours on the map

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