Atlas884 of 3,915

I.B.63

m₃ = 2

From Li & Liao (2017)

I.B.63 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 171.96 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.060), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000117 of each other at a top speed of 477, line up 488 times a period, and the computed loop closes to 8.9×10⁻²¹.

Measured over one period

Period: 171.9555602
Masses: 1 : 1 : 2
Energy: -4.08814
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 476.7
Path length: 529.89
Alignments per period: 488
Stability: weakly unstable (|λ|max 1.060)
Loop closure: 8.9×10⁻²¹

Neighbours on the map

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