Atlas1,957 of 3,942

II.C.143

m₃ = 0.75

From Li & Liao (2017)

II.C.143 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 158.63 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 1.011), so a small nudge only makes it wobble. The bodies pass within 0.000297 of each other at a top speed of 62, line up 242 times a period, and the computed loop closes to 3.6×10⁻²⁵.

Measured over one period

Period: 158.6337092
Masses: 1 : 1 : 0.75
Energy: -1.41954
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 62.04
Path length: 399.50
Alignments per period: 242
Topology: abaBAbabABabaBAbabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBABabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABAbaBABabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.011)
Loop closure: 3.6×10⁻²⁵

Neighbours on the map

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