Atlas1,108 of 3,915

I.B.58

m₃ = 2

From Li & Liao (2017)

I.B.58 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 176.18 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 14.37), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000302 of each other at a top speed of 93.9, line up 416 times a period, and the computed loop closes to 5.4×10⁻²⁴.

Measured over one period

Period: 176.1804659
Masses: 1 : 1 : 2
Energy: -3.64111
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 93.88
Path length: 568.67
Alignments per period: 416
Stability: unstable (|λ|max 14.37)
Loop closure: 5.4×10⁻²⁴

Neighbours on the map

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