Atlas1,049 of 3,942

I.B.152

m₃ = 0.5

From Li & Liao (2017)

I.B.152 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 193.65 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.767), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000054 of each other at a top speed of 497, line up 404 times a period, and the computed loop closes to 2.6×10⁻¹⁷.

Measured over one period

Period: 193.6476849
Masses: 1 : 1 : 0.5
Energy: -1.34532
Angular momentum: 0
Closest approach: 5.4×10⁻⁶
Top speed: 496.8
Path length: 495.34
Alignments per period: 404
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.767)
Loop closure: 2.6×10⁻¹⁷

Neighbours on the map

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