Atlas1,186 of 3,915

I.B.11

m₃ = 0.5

From Li & Liao (2017)

I.B.11 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 24.744 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 75.67), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0697 of each other at a top speed of 4.3, line up 32 times a period, and the computed loop closes to 4.0×10⁻²⁸.

Measured over one period

Period: 24.74374237
Masses: 1 : 1 : 0.5
Energy: -1.01282
Angular momentum: 0
Closest approach: 0.06967
Top speed: 4.296
Path length: 60.341
Alignments per period: 32
Stability: unstable (|λ|max 75.67)
Loop closure: 4.0×10⁻²⁸

Neighbours on the map

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