Atlas803 of 3,915

I.B.6

m₃ = 0.5

From Li & Liao (2017)

I.B.6 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 16.851 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 0.000238 of each other at a top speed of 74.8, line up 28 times a period, and the computed loop closes to 1.7×10⁻¹⁹.

Measured over one period

Period: 16.85110488
Masses: 1 : 1 : 0.5
Energy: -1.13800
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 74.79
Path length: 38.761
Alignments per period: 28
Stability: stable (|λ|max 1.000)
Loop closure: 1.7×10⁻¹⁹

Neighbours on the map

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