Atlas1,234 of 3,915

I.B.2

m₃ = 0.75

From Li & Liao (2017)

I.B.2 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 19.724 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 18.94), so a small nudge makes it unravel over a few periods. The bodies pass within 0.168 of each other at a top speed of 2.42, line up 20 times a period, and the computed loop closes to 3.3×10⁻²⁹.

Measured over one period

Period: 19.72413581
Masses: 1 : 1 : 0.75
Energy: -1.15563
Angular momentum: 0
Closest approach: 0.1683
Top speed: 2.417
Path length: 48.518
Alignments per period: 20
Stability: unstable (|λ|max 18.94)
Loop closure: 3.3×10⁻²⁹

Neighbours on the map

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