Atlas953 of 3,942

I.B.18

m₃ = 0.75

From Li & Liao (2017)

I.B.18 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 33.344 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 0.000335 of each other at a top speed of 58.3, line up 76 times a period, and the computed loop closes to 8.0×10⁻²⁵.

Measured over one period

Period: 33.34392182
Masses: 1 : 1 : 0.75
Energy: -1.83130
Angular momentum: 0
Closest approach: 3.4×10⁻⁴
Top speed: 58.34
Path length: 87.928
Alignments per period: 76
Topology: ababAbabaBABabABABabABAbabaBababABAbaBABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.0×10⁻²⁵

Neighbours on the map

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