Atlas1,172 of 3,915

I.B.84

m₃ = 0.5

From Li & Liao (2017)

I.B.84 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 125.01 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 23.61), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00197 of each other at a top speed of 26, line up 164 times a period, and the computed loop closes to 2.5×10⁻²⁵.

Measured over one period

Period: 125.0092178
Masses: 1 : 1 : 0.5
Energy: -1.01958
Angular momentum: 0
Closest approach: 0.001965
Top speed: 26.03
Path length: 302.16
Alignments per period: 164
Stability: unstable (|λ|max 23.61)
Loop closure: 2.5×10⁻²⁵

Neighbours on the map

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