Atlas276 of 3,942

I.A.121

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.121 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 163.99 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 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000767 of each other at a top speed of 417, line up 266 times a period, and the computed loop closes to 2.5×10⁻¹⁶.

Measured over one period

Period: 163.9870417
Masses: 1 : 1 : 0.5
Energy: -1.12417
Angular momentum: 0
Closest approach: 7.7×10⁻⁶
Top speed: 417.1
Path length: 380.91
Alignments per period: 266
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.5×10⁻¹⁶

Neighbours on the map

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