Atlas295 of 3,942

I.A.99

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.99 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 147.02 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 0.0000497 of each other at a top speed of 164, line up 218 times a period, and the computed loop closes to 4.8×10⁻²³.

Measured over one period

Period: 147.0223286
Masses: 1 : 1 : 0.5
Energy: -1.07334
Angular momentum: 0
Closest approach: 5.0×10⁻⁵
Top speed: 163.9
Path length: 346.91
Alignments per period: 218
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.8×10⁻²³

Neighbours on the map

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