Atlas777 of 3,942

I.A.97

From Li, Jing & Liao (2018)

I.A.97 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.88 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 0.000573 of each other at a top speed of 41.8, line up 186 times a period, and the computed loop closes to 7.4×10⁻²⁵.

Measured over one period

Period: 164.8777308
Masses: 1 : 1 : 1
Energy: -1.44067
Angular momentum: 0
Closest approach: 5.7×10⁻⁴
Top speed: 41.79
Path length: 427.44
Alignments per period: 186
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.4×10⁻²⁵

Neighbours on the map

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