Atlas705 of 3,915

I.A.123

From Li, Jing & Liao (2018)

I.A.123 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.01 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 0.000243 of each other at a top speed of 64.2, line up 250 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 185.0089900
Masses: 1 : 1 : 1
Energy: -1.59589
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 64.20
Path length: 486.69
Alignments per period: 250
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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