Atlas636 of 3,915

I.A.7

From Li, Jing & Liao (2018)

I.A.7 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 15.744 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 1307), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0112 of each other at a top speed of 9.55, line up 42 times a period, and the computed loop closes to 1.5×10⁻²⁶.

Measured over one period

Period: 15.74409449
Masses: 1 : 1 : 1
Energy: -2.42502
Angular momentum: 0
Closest approach: 0.01115
Top speed: 9.546
Path length: 43.672
Alignments per period: 42
Stability: unstable (|λ|max 1307)
Loop closure: 1.5×10⁻²⁶

Neighbours on the map

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