Atlas1,238 of 3,915

I.B.46

m₃ = 2

From Li & Liao (2017)

I.B.46 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 164.56 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.989), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00042 of each other at a top speed of 79.5, line up 324 times a period, and the computed loop closes to 9.9×10⁻²⁵.

Measured over one period

Period: 164.5620596
Masses: 1 : 1 : 2
Energy: -3.24201
Angular momentum: 0
Closest approach: 4.2×10⁻⁴
Top speed: 79.53
Path length: 521.20
Alignments per period: 324
Stability: weakly unstable (|λ|max 3.989)
Loop closure: 9.9×10⁻²⁵

Neighbours on the map

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