Atlas275 of 3,942

I.A.96

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.96 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 130.29 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 0.0000144 of each other at a top speed of 304, line up 210 times a period, and the computed loop closes to 2.4×10⁻²².

Measured over one period

Period: 130.2931786
Masses: 1 : 1 : 0.5
Energy: -1.12053
Angular momentum: 0
Closest approach: 1.4×10⁻⁵
Top speed: 304.2
Path length: 303.24
Alignments per period: 210
Topology: abaBAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.4×10⁻²²

Neighbours on the map

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