Atlas934 of 3,942

I.B.88

m₃ = 0.75

From Li & Liao (2017)

I.B.88 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 153.05 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.777), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000252 of each other at a top speed of 67.3, line up 232 times a period, and the computed loop closes to 1.2×10⁻¹⁹.

Measured over one period

Period: 153.0450279
Masses: 1 : 1 : 0.75
Energy: -1.40386
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 67.31
Path length: 375.83
Alignments per period: 232
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabABAbabABAbaBABabaBABabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabABAbabABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.777)
Loop closure: 1.2×10⁻¹⁹

Neighbours on the map

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