Atlas1,110 of 3,915

I.B.127

m₃ = 0.5

From Li & Liao (2017)

I.B.127 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 114.55 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 52.35), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000457 of each other at a top speed of 54, line up 240 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 114.5530090
Masses: 1 : 1 : 0.5
Energy: -1.37006
Angular momentum: 0
Closest approach: 4.6×10⁻⁴
Top speed: 54.01
Path length: 305.80
Alignments per period: 240
Stability: unstable (|λ|max 52.35)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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