Atlas985 of 3,942

I.B.140

m₃ = 0.5

From Li & Liao (2017)

I.B.140 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 182.16 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 165.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000333 of each other at a top speed of 63.3, line up 284 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 182.1621658
Masses: 1 : 1 : 0.5
Energy: -1.11856
Angular momentum: 0
Closest approach: 3.3×10⁻⁴
Top speed: 63.25
Path length: 446.10
Alignments per period: 284
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABaBABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABaaBB (free-group class)
Stability: unstable (|λ|max 165.4)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

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