Atlas820 of 3,942

I.B.37

m₃ = 0.75

From Li & Liao (2017)

I.B.37 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 70.39 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 0.0000586 of each other at a top speed of 14, line up 124 times a period, and the computed loop closes to 9.5×10⁻²³.

Measured over one period

Period: 70.38963085
Masses: 1 : 1 : 0.75
Energy: -1.52833
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 139.7
Path length: 169.09
Alignments per period: 124
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.5×10⁻²³

Neighbours on the map

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