Atlas1,258 of 3,915

I.B.64

m₃ = 0.75

From Li & Liao (2017)

I.B.64 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 193.66 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00186 of each other at a top speed of 24.7, line up 164 times a period, and the computed loop closes to 2.2×10⁻²⁵.

Measured over one period

Period: 193.6578545
Masses: 1 : 1 : 0.75
Energy: -0.978322
Angular momentum: 0
Closest approach: 0.001858
Top speed: 24.74
Path length: 425.74
Alignments per period: 164
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 2.2×10⁻²⁵

Neighbours on the map

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