Atlas1,188 of 3,942

I.B.94

m₃ = 0.5

From Li & Liao (2017)

I.B.94 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 94.059 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 230.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000411 of each other at a top speed of 57, line up 180 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 94.05905426
Masses: 1 : 1 : 0.5
Energy: -1.31768
Angular momentum: 0
Closest approach: 4.1×10⁻⁴
Top speed: 56.97
Path length: 250.82
Alignments per period: 180
Topology: aaaBBabAABaBAbabABaBAAbaBBaaaBBabAABaBAbabABaBAAbaBBaaaBBaBAABaBAbaaBBabAAbaBBaabABaBAABaBAbaaBBabAAbaBBaabABaBAABaBB (free-group class)
Stability: unstable (|λ|max 230.7)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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