Atlas1,167 of 3,915

I.B.54

m₃ = 0.75

From Li & Liao (2017)

I.B.54 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 122.71 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 249.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000509 of each other at a top speed of 47.4, line up 156 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 122.7109282
Masses: 1 : 1 : 0.75
Energy: -1.26581
Angular momentum: 0
Closest approach: 5.1×10⁻⁴
Top speed: 47.40
Path length: 297.14
Alignments per period: 156
Stability: unstable (|λ|max 249.8)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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