Atlas805 of 3,942

I.B.81

m₃ = 0.75

From Li & Liao (2017)

I.B.81 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 117.58 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 0.00000948 of each other at a top speed of 347, line up 212 times a period, and the computed loop closes to 2.3×10⁻¹⁷.

Measured over one period

Period: 117.5796866
Masses: 1 : 1 : 0.75
Energy: -1.54809
Angular momentum: 0
Closest approach: 9.5×10⁻⁶
Top speed: 347.2
Path length: 279.39
Alignments per period: 212
Topology: ababABAbabABAbabABAbabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabaBABabaBABabaBABababABAbabABAbabABAbabABABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.3×10⁻¹⁷

Neighbours on the map

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