Atlas964 of 3,915

I.B.57

m₃ = 2

From Li & Liao (2017)

I.B.57 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 185.11 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000895 of each other at a top speed of 546, line up 412 times a period, and the computed loop closes to 4.7×10⁻¹⁶.

Measured over one period

Period: 185.1104590
Masses: 1 : 1 : 2
Energy: -3.48434
Angular momentum: 0
Closest approach: 9.0×10⁻⁶
Top speed: 545.8
Path length: 552.18
Alignments per period: 412
Stability: stable (|λ|max 1.000)
Loop closure: 4.7×10⁻¹⁶

Neighbours on the map

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