Atlas1,119 of 3,915

I.B.128

m₃ = 0.5

From Li & Liao (2017)

I.B.128 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 191.98 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.242), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000371 of each other at a top speed of 59.9, line up 244 times a period, and the computed loop closes to 1.0×10⁻²⁴.

Measured over one period

Period: 191.9788485
Masses: 1 : 1 : 0.5
Energy: -0.985962
Angular momentum: 0
Closest approach: 3.7×10⁻⁴
Top speed: 59.93
Path length: 448.57
Alignments per period: 244
Stability: weakly unstable (|λ|max 1.242)
Loop closure: 1.0×10⁻²⁴

Neighbours on the map

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