Atlas980 of 3,915

I.B.66

m₃ = 0.75

From Li & Liao (2017)

I.B.66 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 115.53 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000127 of each other at a top speed of 94.8, line up 172 times a period, and the computed loop closes to 4.5×10⁻²⁴.

Measured over one period

Period: 115.5336620
Masses: 1 : 1 : 0.75
Energy: -1.39233
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 94.77
Path length: 285.80
Alignments per period: 172
Stability: stable (|λ|max 1.000)
Loop closure: 4.5×10⁻²⁴

Neighbours on the map

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