Atlas787 of 3,942

I.B.72

m₃ = 0.5

From Li & Liao (2017)

I.B.72 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 116.61 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 0.0000127 of each other at a top speed of 324, line up 152 times a period, and the computed loop closes to 6.7×10⁻²².

Measured over one period

Period: 116.6138500
Masses: 1 : 1 : 0.5
Energy: -0.969868
Angular momentum: 0
Closest approach: 1.3×10⁻⁵
Top speed: 323.7
Path length: 246.70
Alignments per period: 152
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.7×10⁻²²

Neighbours on the map

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