Atlas1,240 of 3,915

I.B.42

m₃ = 2

From Li & Liao (2017)

I.B.42 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 156.28 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 0.000028 of each other at a top speed of 308, line up 296 times a period, and the computed loop closes to 1.1×10⁻¹⁶.

Measured over one period

Period: 156.2803805
Masses: 1 : 1 : 2
Energy: -3.15430
Angular momentum: 0
Closest approach: 2.8×10⁻⁵
Top speed: 308.4
Path length: 483.07
Alignments per period: 296
Stability: stable (|λ|max 1.000)
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.