Atlas1,347 of 3,915

II.B.2

m₃ = 0.5

From Li, Jing & Liao (2018)

II.B.2 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 117.33 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is weakly unstable (largest Floquet multiplier 2.529), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000727 of each other at a top speed of 135, line up 152 times a period, and the computed loop closes to 6.2×10⁻²⁴.

Measured over one period

Period: 117.3258510
Masses: 1 : 1 : 0.5
Energy: -1.01292
Angular momentum: 0
Closest approach: 7.3×10⁻⁵
Top speed: 135.4
Path length: 283.27
Alignments per period: 152
Stability: weakly unstable (|λ|max 2.529)
Loop closure: 6.2×10⁻²⁴

Neighbours on the map

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