Atlas2,111 of 3,942

II.C.141

m₃ = 0.75

From Li & Liao (2017)

II.C.141 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 144.41 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 0.0000466 of each other at a top speed of 157, line up 240 times a period, and the computed loop closes to 4.5×10⁻²³.

Measured over one period

Period: 144.4057666
Masses: 1 : 1 : 0.75
Energy: -1.48744
Angular momentum: 0
Closest approach: 4.7×10⁻⁵
Top speed: 156.6
Path length: 360.63
Alignments per period: 240
Topology: abaBAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.5×10⁻²³

Neighbours on the map

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