Atlas1,079 of 3,915

I.B.136

m₃ = 0.5

From Li & Liao (2017)

I.B.136 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 179.02 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.583), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000835 of each other at a top speed of 40, line up 264 times a period, and the computed loop closes to 9.6×10⁻²⁶.

Measured over one period

Period: 179.0226702
Masses: 1 : 1 : 0.5
Energy: -1.08289
Angular momentum: 0
Closest approach: 8.3×10⁻⁴
Top speed: 39.95
Path length: 434.66
Alignments per period: 264
Stability: weakly unstable (|λ|max 1.583)
Loop closure: 9.6×10⁻²⁶

Neighbours on the map

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