Atlas707 of 3,915

I.A.112

From Li, Jing & Liao (2018)

I.A.112 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 170.48 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 0.000229 of each other at a top speed of 66, line up 238 times a period, and the computed loop closes to 5.7×10⁻²⁴.

Measured over one period

Period: 170.4845107
Masses: 1 : 1 : 1
Energy: -1.62787
Angular momentum: 0
Closest approach: 2.3×10⁻⁴
Top speed: 66.02
Path length: 450.55
Alignments per period: 238
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.7×10⁻²⁴

Neighbours on the map

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