Atlas869 of 3,942

I.B.115

m₃ = 0.75

From Li & Liao (2017)

I.B.115 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 198.51 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 0.00002 of each other at a top speed of 239, line up 328 times a period, and the computed loop closes to 9.2×10⁻¹⁶.

Measured over one period

Period: 198.5101581
Masses: 1 : 1 : 0.75
Energy: -1.47491
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 239.0
Path length: 485.20
Alignments per period: 328
Topology: abaBAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbabABAbabABAbaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.2×10⁻¹⁶

Neighbours on the map

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