Atlas1,271 of 3,915

I.B.16

m₃ = 0.75

From Li & Liao (2017)

I.B.16 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 76.893 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 179.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000833 of each other at a top speed of 37, line up 64 times a period, and the computed loop closes to 4.0×10⁻²⁵.

Measured over one period

Period: 76.89332720
Masses: 1 : 1 : 0.75
Energy: -0.973295
Angular momentum: 0
Closest approach: 8.3×10⁻⁴
Top speed: 36.99
Path length: 169.86
Alignments per period: 64
Stability: unstable (|λ|max 179.8)
Loop closure: 4.0×10⁻²⁵

Neighbours on the map

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