Atlas821 of 3,942

I.B.38

m₃ = 0.75

From Li & Liao (2017)

I.B.38 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 81.727 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.335), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000015 of each other at a top speed of 276, line up 124 times a period, and the computed loop closes to 7.4×10⁻²³.

Measured over one period

Period: 81.72726124
Masses: 1 : 1 : 0.75
Energy: -1.38351
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 276.4
Path length: 185.96
Alignments per period: 124
Topology: ababABababABAbabABAbabABAbabABAbabABAbabaBAbabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.335)
Loop closure: 7.4×10⁻²³

Neighbours on the map

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