Atlas779 of 3,942

I.A.121

From Li, Jing & Liao (2018)

I.A.121 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 194.62 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000212 of each other at a top speed of 217, line up 222 times a period, and the computed loop closes to 3.7×10⁻²¹.

Measured over one period

Period: 194.6214443
Masses: 1 : 1 : 1
Energy: -1.45086
Angular momentum: 0
Closest approach: 2.1×10⁻⁵
Top speed: 217.2
Path length: 490.46
Alignments per period: 222
Topology: aaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbbABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.7×10⁻²¹

Neighbours on the map

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