Atlas1,073 of 3,942

I.B.75

m₃ = 0.75

From Li & Liao (2017)

I.B.75 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 142.98 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 861.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00104 of each other at a top speed of 33, line up 196 times a period, and the computed loop closes to 5.1×10⁻²⁵.

Measured over one period

Period: 142.9781535
Masses: 1 : 1 : 0.75
Energy: -1.32477
Angular momentum: 0
Closest approach: 0.001044
Top speed: 33.05
Path length: 349.75
Alignments per period: 196
Topology: abaBAbabABabaBAbabABabaBAbabABabaBAbabABabaBAbabABabaBAbabABAbabABabaBAbabABabaBAbabABabaBAbabABabaBAbabABabaBAbabABabaBAB (free-group class)
Stability: unstable (|λ|max 861.1)
Loop closure: 5.1×10⁻²⁵

Neighbours on the map

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