Atlas773 of 3,915

I.A.70

From Li, Jing & Liao (2018)

I.A.70 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.84 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 unstable (largest Floquet multiplier 76.25), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0101 of each other at a top speed of 9.96, line up 154 times a period, and the computed loop closes to 1.4×10⁻²⁵.

Measured over one period

Period: 164.8353421
Masses: 1 : 1 : 1
Energy: -1.26999
Angular momentum: 0
Closest approach: 0.01011
Top speed: 9.955
Path length: 410.61
Alignments per period: 154
Stability: unstable (|λ|max 76.25)
Loop closure: 1.4×10⁻²⁵

Neighbours on the map

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