Atlas1,191 of 3,915

I.B.65

m₃ = 0.5

From Li & Liao (2017)

I.B.65 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 68.273 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.103), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00102 of each other at a top speed of 36.2, line up 140 times a period, and the computed loop closes to 4.3×10⁻²⁵.

Measured over one period

Period: 68.27283470
Masses: 1 : 1 : 0.5
Energy: -1.34594
Angular momentum: 0
Closest approach: 0.001016
Top speed: 36.22
Path length: 181.05
Alignments per period: 140
Stability: weakly unstable (|λ|max 1.103)
Loop closure: 4.3×10⁻²⁵

Neighbours on the map

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