Atlas780 of 3,942

I.A.90

From Li, Jing & Liao (2018)

I.A.90 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 151.99 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 0.00000772 of each other at a top speed of 36, line up 174 times a period, and the computed loop closes to 2.7×10⁻²².

Measured over one period

Period: 151.9903844
Masses: 1 : 1 : 1
Energy: -1.45436
Angular momentum: 0
Closest approach: 7.7×10⁻⁶
Top speed: 359.8
Path length: 381.96
Alignments per period: 174
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.7×10⁻²²

Neighbours on the map

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