Atlas1,332 of 3,915

II.A.1

m₃ = 0.5

From Li, Jing & Liao (2018)

II.A.1 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 30.386 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is unstable (largest Floquet multiplier 152.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00278 of each other at a top speed of 21.9, line up 34 times a period, and the computed loop closes to 3.1×10⁻²⁵.

Measured over one period

Period: 30.38582933
Masses: 1 : 1 : 0.5
Energy: -0.924840
Angular momentum: 0
Closest approach: 0.002783
Top speed: 21.88
Path length: 70.697
Alignments per period: 34
Stability: unstable (|λ|max 152.8)
Loop closure: 3.1×10⁻²⁵

Neighbours on the map

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