Atlas588 of 3,915

I.A.177

From Li, Jing & Liao (2018)

I.A.177 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 197.47 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 0.00017 of each other at a top speed of 76.7, line up 302 times a period, and the computed loop closes to 9.1×10⁻²⁴.

Measured over one period

Period: 197.4708390
Masses: 1 : 1 : 1
Energy: -1.71895
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 76.71
Path length: 525.67
Alignments per period: 302
Stability: stable (|λ|max 1.000)
Loop closure: 9.1×10⁻²⁴

Neighbours on the map

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