Atlas1,053 of 3,915

I.B.13

m₃ = 4

From Li & Liao (2017)

I.B.13 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 103.47 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 0.0000202 of each other at a top speed of 563, line up 296 times a period, and the computed loop closes to 4.7×10⁻²¹.

Measured over one period

Period: 103.4683069
Masses: 1 : 1 : 4
Energy: -6.65745
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 562.8
Path length: 397.48
Alignments per period: 296
Stability: stable (|λ|max 1.000)
Loop closure: 4.7×10⁻²¹

Neighbours on the map

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