Atlas1,011 of 3,915

I.B.27

m₃ = 4

From Li & Liao (2017)

I.B.27 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 172.13 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 0.00000657 of each other at a top speed of 987, line up 496 times a period, and the computed loop closes to 7.6×10⁻²¹.

Measured over one period

Period: 172.1282612
Masses: 1 : 1 : 4
Energy: -6.68883
Angular momentum: 0
Closest approach: 6.6×10⁻⁶
Top speed: 987.1
Path length: 659.72
Alignments per period: 496
Stability: stable (|λ|max 1.000)
Loop closure: 7.6×10⁻²¹

Neighbours on the map

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