Atlas1,161 of 3,915

I.B.4

m₃ = 0.75

From Li & Liao (2017)

I.B.4 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 16.638 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 0.00143 of each other at a top speed of 28.4, line up 28 times a period, and the computed loop closes to 4.4×10⁻²⁶.

Measured over one period

Period: 16.63764069
Masses: 1 : 1 : 0.75
Energy: -1.54258
Angular momentum: 0
Closest approach: 0.001429
Top speed: 28.36
Path length: 45.860
Alignments per period: 28
Stability: stable (|λ|max 1.000)
Loop closure: 4.4×10⁻²⁶

Neighbours on the map

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