Atlas1,002 of 3,915

I.B.151

m₃ = 0.5

From Li & Liao (2017)

I.B.151 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 168.24 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.236), 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 256, line up 364 times a period, and the computed loop closes to 1.7×10⁻¹⁶.

Measured over one period

Period: 168.2376674
Masses: 1 : 1 : 0.5
Energy: -1.37251
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 255.8
Path length: 424.05
Alignments per period: 364
Stability: weakly unstable (|λ|max 3.236)
Loop closure: 1.7×10⁻¹⁶

Neighbours on the map

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