Atlas1,123 of 3,915

I.B.129

m₃ = 0.5

From Li & Liao (2017)

I.B.129 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 173.1 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.459), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000802 of each other at a top speed of 129, line up 244 times a period, and the computed loop closes to 5.7×10⁻²⁴.

Measured over one period

Period: 173.1019418
Masses: 1 : 1 : 0.5
Energy: -1.05640
Angular momentum: 0
Closest approach: 8.0×10⁻⁵
Top speed: 129.0
Path length: 418.65
Alignments per period: 244
Stability: weakly unstable (|λ|max 1.459)
Loop closure: 5.7×10⁻²⁴

Neighbours on the map

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