Atlas273 of 3,942

I.A.23

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.23 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 57.063 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 weakly unstable (largest Floquet multiplier 1.956), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000953 of each other at a top speed of 118, line up 86 times a period, and the computed loop closes to 1.9×10⁻²³.

Measured over one period

Period: 57.06335569
Masses: 1 : 1 : 0.5
Energy: -1.07527
Angular momentum: 0
Closest approach: 9.5×10⁻⁵
Top speed: 118.3
Path length: 131.51
Alignments per period: 86
Topology: abaBAbaBAbaBAbaBAbabABabABabABAbaBAbaBAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.956)
Loop closure: 1.9×10⁻²³

Neighbours on the map

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