Atlas700 of 3,942

I.A.104

From Li, Jing & Liao (2018)

I.A.104 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 155.35 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 0.000211 of each other at a top speed of 68.8, line up 218 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 155.3531711
Masses: 1 : 1 : 1
Energy: -1.63398
Angular momentum: 0
Closest approach: 2.1×10⁻⁴
Top speed: 68.76
Path length: 411.66
Alignments per period: 218
Topology: abaBAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbaBABabaBABabaBABabaBABabABAbabABAbabABAbabABAbaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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