Atlas532 of 3,915

I.A.92

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.92 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 133.95 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 5.419), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000857 of each other at a top speed of 39.4, line up 194 times a period, and the computed loop closes to 1.0×10⁻²⁵.

Measured over one period

Period: 133.9471511
Masses: 1 : 1 : 0.5
Energy: -1.07575
Angular momentum: 0
Closest approach: 8.6×10⁻⁴
Top speed: 39.43
Path length: 326.89
Alignments per period: 194
Stability: weakly unstable (|λ|max 5.419)
Loop closure: 1.0×10⁻²⁵

Neighbours on the map

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