Atlas690 of 3,915

I.A.14

m₃ = 2

From Li, Jing & Liao (2018)

I.A.14 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 81.032 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 1.440), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000742 of each other at a top speed of 59.9, line up 138 times a period, and the computed loop closes to 7.7×10⁻²⁵.

Measured over one period

Period: 81.03185624
Masses: 1 : 1 : 2
Energy: -2.94595
Angular momentum: 0
Closest approach: 7.4×10⁻⁴
Top speed: 59.94
Path length: 245.95
Alignments per period: 138
Stability: weakly unstable (|λ|max 1.440)
Loop closure: 7.7×10⁻²⁵

Neighbours on the map

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