Atlas1,074 of 3,915

I.B.27

m₃ = 0.5

From Li & Liao (2017)

I.B.27 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 58.251 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 0.00055 of each other at a top speed of 49.2, line up 80 times a period, and the computed loop closes to 6.3×10⁻²⁵.

Measured over one period

Period: 58.25124504
Masses: 1 : 1 : 0.5
Energy: -1.03341
Angular momentum: 0
Closest approach: 5.5×10⁻⁴
Top speed: 49.23
Path length: 138.35
Alignments per period: 80
Stability: stable (|λ|max 1.000)
Loop closure: 6.3×10⁻²⁵

Neighbours on the map

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