Atlas1,179 of 3,942

I.B.46

m₃ = 0.75

From Li & Liao (2017)

I.B.46 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 109.27 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 140.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000548 of each other at a top speed of 45.7, line up 136 times a period, and the computed loop closes to 1.3×10⁻¹⁵.

Measured over one period

Period: 109.2687650
Masses: 1 : 1 : 0.75
Energy: -1.25209
Angular momentum: 0
Closest approach: 5.5×10⁻⁴
Top speed: 45.68
Path length: 264.94
Alignments per period: 136
Topology: abaBAbabABabABAbaBAbabABabaBAbaBABabABAbaBAbabABabaBAbaBABabABabaBAbabABabABAbaBABabAB (free-group class)
Stability: unstable (|λ|max 140.3)
Loop closure: 1.3×10⁻¹⁵

Neighbours on the map

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