Atlas1,371 of 3,915

II.B.1

m₃ = 0.5

From Li, Jing & Liao (2018)

II.B.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 63.781 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 51.78), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0105 of each other at a top speed of 11.3, line up 60 times a period, and the computed loop closes to 9.5×10⁻²⁵.

Measured over one period

Period: 63.78086527
Masses: 1 : 1 : 0.5
Energy: -0.898064
Angular momentum: 0
Closest approach: 0.01047
Top speed: 11.30
Path length: 152.87
Alignments per period: 60
Stability: unstable (|λ|max 51.78)
Loop closure: 9.5×10⁻²⁵

Neighbours on the map

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