Atlas1,264 of 3,915

I.B.11

m₃ = 0.75

From Li & Liao (2017)

I.B.11 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 49.364 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 26.01), so a small nudge makes it unravel over a few periods. The bodies pass within 0.016 of each other at a top speed of 8.42, line up 52 times a period, and the computed loop closes to 7.7×10⁻²⁷.

Measured over one period

Period: 49.36423386
Masses: 1 : 1 : 0.75
Energy: -1.13725
Angular momentum: 0
Closest approach: 0.01601
Top speed: 8.417
Path length: 117.66
Alignments per period: 52
Stability: unstable (|λ|max 26.01)
Loop closure: 7.7×10⁻²⁷

Neighbours on the map

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