Atlas781 of 3,915

I.A.107

From Li, Jing & Liao (2018)

I.A.107 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 176.6 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 0.000168 of each other at a top speed of 77.2, line up 198 times a period, and the computed loop closes to 4.4×10⁻²⁵.

Measured over one period

Period: 176.5993385
Masses: 1 : 1 : 1
Energy: -1.43437
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 77.17
Path length: 448.82
Alignments per period: 198
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.4×10⁻²⁵

Neighbours on the map

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