Atlas1,096 of 3,915

I.B.121

m₃ = 0.5

From Li & Liao (2017)

I.B.121 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 120.4 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 137.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000399 of each other at a top speed of 57.8, line up 236 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 120.4032477
Masses: 1 : 1 : 0.5
Energy: -1.30370
Angular momentum: 0
Closest approach: 4.0×10⁻⁴
Top speed: 57.75
Path length: 310.69
Alignments per period: 236
Stability: unstable (|λ|max 137.5)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

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