Atlas768 of 3,942

I.A.100

From Li, Jing & Liao (2018)

I.A.100 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 163.91 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 0.0000971 of each other at a top speed of 102, line up 186 times a period, and the computed loop closes to 9.9×10⁻²⁴.

Measured over one period

Period: 163.9101890
Masses: 1 : 1 : 1
Energy: -1.44587
Angular momentum: 0
Closest approach: 9.7×10⁻⁵
Top speed: 101.5
Path length: 415.21
Alignments per period: 186
Topology: aaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBAbbABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.9×10⁻²⁴

Neighbours on the map

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