Atlas809 of 3,942

I.B.56

m₃ = 0.75

From Li & Liao (2017)

I.B.56 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 93.79 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 0.0000392 of each other at a top speed of 171, line up 164 times a period, and the computed loop closes to 5.5×10⁻²².

Measured over one period

Period: 93.79040602
Masses: 1 : 1 : 0.75
Energy: -1.52206
Angular momentum: 0
Closest approach: 3.9×10⁻⁵
Top speed: 170.8
Path length: 225.93
Alignments per period: 164
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.5×10⁻²²

Neighbours on the map

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