Atlas2,224 of 3,915

II.D.1

m₃ = 2

From Li, Jing & Liao (2018)

II.D.1 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 20.325 time units, published by Li, Jing & Liao (2018). Two class II.D orbits with a heavy third body. It is unstable (largest Floquet multiplier 258.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00431 of each other at a top speed of 24.7, line up 14 times a period, and the computed loop closes to 1.2×10⁻²⁵.

Measured over one period

Period: 20.32531255
Masses: 1 : 1 : 2
Energy: -1.60414
Angular momentum: 0
Closest approach: 0.004307
Top speed: 24.69
Path length: 43.935
Alignments per period: 14
Stability: unstable (|λ|max 258.8)
Loop closure: 1.2×10⁻²⁵

Neighbours on the map

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