Atlas1,223 of 3,915

I.B.20

m₃ = 0.75

From Li & Liao (2017)

I.B.20 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 61.024 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 16.43), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00228 of each other at a top speed of 22.4, line up 72 times a period, and the computed loop closes to 1.2×10⁻²⁵.

Measured over one period

Period: 61.02444958
Masses: 1 : 1 : 0.75
Energy: -1.21413
Angular momentum: 0
Closest approach: 0.002278
Top speed: 22.38
Path length: 147.16
Alignments per period: 72
Stability: unstable (|λ|max 16.43)
Loop closure: 1.2×10⁻²⁵

Neighbours on the map

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