Atlas1,160 of 3,915

I.B.41

m₃ = 0.5

From Li & Liao (2017)

I.B.41 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 53.163 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 397.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000577 of each other at a top speed of 48, line up 100 times a period, and the computed loop closes to 3.4×10⁻²⁵.

Measured over one period

Period: 53.16289820
Masses: 1 : 1 : 0.5
Energy: -1.30264
Angular momentum: 0
Closest approach: 5.8×10⁻⁴
Top speed: 48.01
Path length: 140.74
Alignments per period: 100
Stability: unstable (|λ|max 397.4)
Loop closure: 3.4×10⁻²⁵

Neighbours on the map

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