Atlas1,180 of 3,915

I.B.52

m₃ = 0.75

From Li & Liao (2017)

I.B.52 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 121.45 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 309.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00051 of each other at a top speed of 47.3, line up 148 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 121.4505154
Masses: 1 : 1 : 0.75
Energy: -1.23717
Angular momentum: 0
Closest approach: 5.1×10⁻⁴
Top speed: 47.32
Path length: 293.99
Alignments per period: 148
Stability: unstable (|λ|max 309.1)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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