Atlas546 of 3,915

I.A.125

From Li, Jing & Liao (2018)

I.A.125 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 134.62 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 5.957), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000414 of each other at a top speed of 49.2, line up 266 times a period, and the computed loop closes to 6.1×10⁻²⁵.

Measured over one period

Period: 134.6157528
Masses: 1 : 1 : 1
Energy: -2.02319
Angular momentum: 0
Closest approach: 4.1×10⁻⁴
Top speed: 49.17
Path length: 376.48
Alignments per period: 266
Stability: weakly unstable (|λ|max 5.957)
Loop closure: 6.1×10⁻²⁵

Neighbours on the map

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