Atlas476 of 3,942

I.A.124

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.124 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 133.39 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is unstable (largest Floquet multiplier 58.99), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000048 of each other at a top speed of 167, line up 266 times a period, and the computed loop closes to 4.6×10⁻²³.

Measured over one period

Period: 133.3930484
Masses: 1 : 1 : 0.5
Energy: -1.30917
Angular momentum: 0
Closest approach: 4.8×10⁻⁵
Top speed: 166.7
Path length: 343.37
Alignments per period: 266
Topology: ababAbaBABaBAbabAbaBABaBABabAbabABabABabABabABabABabABabABabABAbABabaBabaBAbABAbaBabaBAbABABaBAbabAbaBABaBAbabAbabABaBABabABabABabABabABabABabABabABabaBabABAbABAbaBabaBAbABAbaB (free-group class)
Stability: unstable (|λ|max 58.99)
Loop closure: 4.6×10⁻²³

Neighbours on the map

All I.A orbits, the families of periodic three-body orbits, or the atlas map.