Atlas368 of 3,915

I.A.172

From Li, Jing & Liao (2018)

I.A.172 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 159.96 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 0.0000338 of each other at a top speed of 172, line up 298 times a period, and the computed loop closes to 1.2×10⁻²².

Measured over one period

Period: 159.9605935
Masses: 1 : 1 : 1
Energy: -1.92801
Angular momentum: 0
Closest approach: 3.4×10⁻⁵
Top speed: 172.1
Path length: 417.24
Alignments per period: 298
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻²²

Neighbours on the map

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