Atlas400 of 3,942

I.A.145

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.145 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 183.64 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 linearly stable (largest Floquet multiplier 1.008), so a small nudge only makes it wobble. The bodies pass within 0.0000158 of each other at a top speed of 29, line up 362 times a period, and the computed loop closes to 4.4×10⁻²¹.

Measured over one period

Period: 183.6432715
Masses: 1 : 1 : 0.5
Energy: -1.28706
Angular momentum: 0
Closest approach: 1.6×10⁻⁵
Top speed: 290.1
Path length: 455.62
Alignments per period: 362
Topology: ababAbaBABaBABabABabaBabaBAbABAbaBAbabAbabABabABabABabaBabaBAbaBABaBABabABabABabABAbABAbaBAbabAbaBABaBABabABabaBabaBAbABABaBAbabAbabABabABAbABAbaBabaBAbaBABaBABabABabABabABAbABAbaBAbabAbabABabABabABabaBabaBAbaBABaBAbabAbabABabABAbABAbaB (free-group class)
Stability: stable (|λ|max 1.008)
Loop closure: 4.4×10⁻²¹

Neighbours on the map

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