Atlas1,331 of 3,915

II.A.3

m₃ = 0.5

From Li, Jing & Liao (2018)

II.A.3 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 71.823 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is unstable (largest Floquet multiplier 42.84), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00155 of each other at a top speed of 29.4, line up 62 times a period, and the computed loop closes to 3.8×10⁻²⁵.

Measured over one period

Period: 71.82279585
Masses: 1 : 1 : 0.5
Energy: -0.847511
Angular momentum: 0
Closest approach: 0.001547
Top speed: 29.35
Path length: 167.11
Alignments per period: 62
Stability: unstable (|λ|max 42.84)
Loop closure: 3.8×10⁻²⁵

Neighbours on the map

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