Atlas870 of 3,942

I.B.92

m₃ = 0.75

From Li & Liao (2017)

I.B.92 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 140.04 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 0.000217 of each other at a top speed of 72.5, line up 248 times a period, and the computed loop closes to 3.6×10⁻²⁵.

Measured over one period

Period: 140.0376734
Masses: 1 : 1 : 0.75
Energy: -1.54651
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 72.52
Path length: 351.80
Alignments per period: 248
Topology: ababABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBAbabaBAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.6×10⁻²⁵

Neighbours on the map

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