Atlas1,998 of 3,942

II.C.142

m₃ = 0.5

From Li & Liao (2017)

II.C.142 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 99.793 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 0.0000113 of each other at a top speed of 344, line up 180 times a period, and the computed loop closes to 7.0×10⁻²¹.

Measured over one period

Period: 99.79342509
Masses: 1 : 1 : 0.5
Energy: -1.20395
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 343.8
Path length: 236.53
Alignments per period: 180
Topology: abaBabaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbabAbabABabABAbaBAbaBAbabABabABabABAbaBABabABabABabaBAbaBAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.0×10⁻²¹

Neighbours on the map

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