Atlas1,197 of 3,915

I.B.15

m₃ = 4

From Li & Liao (2017)

I.B.15 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 130.68 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 0.000197 of each other at a top speed of 18, line up 324 times a period, and the computed loop closes to 1.7×10⁻²⁴.

Measured over one period

Period: 130.6811582
Masses: 1 : 1 : 4
Energy: -6.07597
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 180.4
Path length: 529.29
Alignments per period: 324
Stability: stable (|λ|max 1.000)
Loop closure: 1.7×10⁻²⁴

Neighbours on the map

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