Atlas2,007 of 3,942

II.C.102

m₃ = 0.5

From Li & Liao (2017)

II.C.102 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 94.379 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000246 of each other at a top speed of 233, line up 146 times a period, and the computed loop closes to 1.4×10⁻²².

Measured over one period

Period: 94.37940789
Masses: 1 : 1 : 0.5
Energy: -1.08611
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 232.9
Path length: 212.58
Alignments per period: 146
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²²

Neighbours on the map

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