Atlas480 of 3,915

I.A.135

From Li, Jing & Liao (2018)

I.A.135 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 146.52 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 weakly unstable (largest Floquet multiplier 3.226), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000119 of each other at a top speed of 91.6, line up 310 times a period, and the computed loop closes to 3.2×10⁻²⁴.

Measured over one period

Period: 146.5213560
Masses: 1 : 1 : 1
Energy: -2.10606
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 91.60
Path length: 407.02
Alignments per period: 310
Stability: weakly unstable (|λ|max 3.226)
Loop closure: 3.2×10⁻²⁴

Neighbours on the map

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