Atlas1,210 of 3,915

I.B.42

m₃ = 0.5

From Li & Liao (2017)

I.B.42 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 58.074 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 291.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00202 of each other at a top speed of 25.7, line up 100 times a period, and the computed loop closes to 6.5×10⁻²⁵.

Measured over one period

Period: 58.07384060
Masses: 1 : 1 : 0.5
Energy: -1.22811
Angular momentum: 0
Closest approach: 0.002021
Top speed: 25.71
Path length: 150.23
Alignments per period: 100
Stability: unstable (|λ|max 291.9)
Loop closure: 6.5×10⁻²⁵

Neighbours on the map

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