Atlas1,139 of 3,942

I.B.36

m₃ = 0.5

From Li & Liao (2017)

I.B.36 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 61.265 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 6.275), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000698 of each other at a top speed of 43.7, line up 96 times a period, and the computed loop closes to 1.9×10⁻²⁴.

Measured over one period

Period: 61.26539697
Masses: 1 : 1 : 0.5
Energy: -1.14093
Angular momentum: 0
Closest approach: 7.0×10⁻⁴
Top speed: 43.67
Path length: 152.92
Alignments per period: 96
Topology: aaaBBabAAbaBBaaBAbaBABaBAbabABaBAABaBAbabABaBABabABaaBBabAAbaBB (free-group class)
Stability: weakly unstable (|λ|max 6.275)
Loop closure: 1.9×10⁻²⁴

Neighbours on the map

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