Atlas932 of 3,942

I.B.68

m₃ = 0.5

From Li & Liao (2017)

I.B.68 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 111.34 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 384.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000338 of each other at a top speed of 62.8, line up 140 times a period, and the computed loop closes to 7.4×10⁻²⁴.

Measured over one period

Period: 111.3358326
Masses: 1 : 1 : 0.5
Energy: -0.971514
Angular momentum: 0
Closest approach: 3.4×10⁻⁴
Top speed: 62.81
Path length: 250.46
Alignments per period: 140
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABaBAbabABaBABabABabABabABabABabABabABabABabABaaBBabAAbaBB (free-group class)
Stability: unstable (|λ|max 384.7)
Loop closure: 7.4×10⁻²⁴

Neighbours on the map

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