Atlas896 of 3,942

I.B.50

m₃ = 0.75

From Li & Liao (2017)

I.B.50 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 93.182 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 0.000131 of each other at a top speed of 93.5, line up 148 times a period, and the computed loop closes to 7.6×10⁻²⁴.

Measured over one period

Period: 93.18153532
Masses: 1 : 1 : 0.75
Energy: -1.44284
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 93.55
Path length: 229.09
Alignments per period: 148
Topology: abaBAbabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.6×10⁻²⁴

Neighbours on the map

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