Atlas823 of 3,942

I.B.87

m₃ = 0.75

From Li & Liao (2017)

I.B.87 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 153.04 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.003), so a small nudge only makes it wobble. The bodies pass within 0.00008 of each other at a top speed of 12, line up 232 times a period, and the computed loop closes to 3.5×10⁻²⁴.

Measured over one period

Period: 153.0421640
Masses: 1 : 1 : 0.75
Energy: -1.37981
Angular momentum: 0
Closest approach: 8.0×10⁻⁵
Top speed: 119.5
Path length: 342.06
Alignments per period: 232
Topology: ababABababABAbabABAbabaBAbabABABabaBABabaBABabaBABAbabABababABAbabABAbabaBAbabaBABabaBABababABabaBABAbabABAbabABAbabABABabaBAbabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.003)
Loop closure: 3.5×10⁻²⁴

Neighbours on the map

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