Atlas1,363 of 3,915

II.B.5

m₃ = 2

From Li, Jing & Liao (2018)

II.B.5 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 148.93 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000204 of each other at a top speed of 362, line up 236 times a period, and the computed loop closes to 6.1×10⁻²².

Measured over one period

Period: 148.9269114
Masses: 1 : 1 : 2
Energy: -2.80805
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 361.6
Path length: 441.48
Alignments per period: 236
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 6.1×10⁻²²

Neighbours on the map

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