Atlas533 of 3,942

I.A.119

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.119 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 172.04 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 10.53), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000468 of each other at a top speed of 53.4, line up 246 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 172.0404787
Masses: 1 : 1 : 0.5
Energy: -1.06891
Angular momentum: 0
Closest approach: 4.7×10⁻⁴
Top speed: 53.38
Path length: 419.88
Alignments per period: 246
Topology: aaBAbaBAbaBAbabABabABabABaaBAbaBAbaBAbaBAbabABabABabABaaBAbaBAbaBAbabABabABabABabAAbaBAbaBAbaBABabABabABabAAbaBAbaBAbaBAbaBABabABabABabAAbaBAbaBAbaBABabABabABabAB (free-group class)
Stability: unstable (|λ|max 10.53)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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