Atlas770 of 3,915

I.A.159

From Li, Jing & Liao (2018)

I.A.159 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 190.6 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 347.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00169 of each other at a top speed of 24.3, line up 198 times a period, and the computed loop closes to 4.4×10⁻²⁵.

Measured over one period

Period: 190.6014707
Masses: 1 : 1 : 1
Energy: -1.36475
Angular momentum: 0
Closest approach: 0.001692
Top speed: 24.31
Path length: 493.39
Alignments per period: 198
Stability: unstable (|λ|max 347.5)
Loop closure: 4.4×10⁻²⁵

Neighbours on the map

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