Atlas1,181 of 3,915

I.B.58

m₃ = 0.75

From Li & Liao (2017)

I.B.58 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 134.01 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 540), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000469 of each other at a top speed of 49.3, line up 160 times a period, and the computed loop closes to 3.8×10⁻²⁴.

Measured over one period

Period: 134.0109575
Masses: 1 : 1 : 0.75
Energy: -1.22254
Angular momentum: 0
Closest approach: 4.7×10⁻⁴
Top speed: 49.34
Path length: 323.62
Alignments per period: 160
Stability: unstable (|λ|max 540.0)
Loop closure: 3.8×10⁻²⁴

Neighbours on the map

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