Atlas1,310 of 3,915

I.B.33

m₃ = 2

From Li & Liao (2017)

I.B.33 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 174.29 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.051), so a small nudge only makes it wobble. The bodies pass within 0.0000448 of each other at a top speed of 244, line up 248 times a period, and the computed loop closes to 1.1×10⁻¹⁶.

Measured over one period

Period: 174.2881414
Masses: 1 : 1 : 2
Energy: -2.62240
Angular momentum: 0
Closest approach: 4.5×10⁻⁵
Top speed: 244.0
Path length: 507.46
Alignments per period: 248
Stability: stable (|λ|max 1.051)
Loop closure: 1.1×10⁻¹⁶

Neighbours on the map

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