Atlas2,225 of 3,915

II.D.2

m₃ = 2

From Li, Jing & Liao (2018)

II.D.2 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 8.8237 time units, published by Li, Jing & Liao (2018). Two class II.D orbits with a heavy third body. It is unstable (largest Floquet multiplier 2564), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00182 of each other at a top speed of 38.5, line up 22 times a period, and the computed loop closes to 7.2×10⁻²⁵.

Measured over one period

Period: 8.823706765
Masses: 1 : 1 : 2
Energy: -3.76912
Angular momentum: 0
Closest approach: 0.001824
Top speed: 38.49
Path length: 29.443
Alignments per period: 22
Stability: unstable (|λ|max 2564)
Loop closure: 7.2×10⁻²⁵

Neighbours on the map

All II.D orbits, the families of periodic three-body orbits, or the atlas map.