Atlas940 of 3,915

I.B.76

m₃ = 0.5

From Li & Liao (2017)

I.B.76 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 102.39 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 55.83), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000758 of each other at a top speed of 41.9, line up 160 times a period, and the computed loop closes to 6.8×10⁻²⁵.

Measured over one period

Period: 102.3898941
Masses: 1 : 1 : 0.5
Energy: -1.11358
Angular momentum: 0
Closest approach: 7.6×10⁻⁴
Top speed: 41.91
Path length: 246.94
Alignments per period: 160
Stability: unstable (|λ|max 55.83)
Loop closure: 6.8×10⁻²⁵

Neighbours on the map

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