Atlas1,109 of 3,915

I.B.146

m₃ = 0.5

From Li & Liao (2017)

I.B.146 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 156.51 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.548), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000143 of each other at a top speed of 96.4, line up 312 times a period, and the computed loop closes to 4.8×10⁻²⁴.

Measured over one period

Period: 156.5079562
Masses: 1 : 1 : 0.5
Energy: -1.32278
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 96.43
Path length: 409.65
Alignments per period: 312
Stability: weakly unstable (|λ|max 1.548)
Loop closure: 4.8×10⁻²⁴

Neighbours on the map

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