Atlas395 of 3,942

I.A.1

m₃ = 10

From Li, Jing & Liao (2018)

I.A.1 m₃ = 10 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 10 that return to their starting positions and velocities every 24.171 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 1.134), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000118 of each other at a top speed of 392, line up 134 times a period, and the computed loop closes to 5.3×10⁻²⁴.

Measured over one period

Period: 24.17110665
Masses: 1 : 1 : 10
Energy: -19.3430
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 391.6
Path length: 143.64
Alignments per period: 134
Topology: abababababababababababababababababABABABABABABABABABABABABABABABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.134)
Loop closure: 5.3×10⁻²⁴

Neighbours on the map

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