Atlas1,235 of 3,915

I.B.1

m₃ = 0.5

From Li & Liao (2017)

I.B.1 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 8.5581 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.553), so a small nudge makes it unravel over a few periods. The bodies pass within 0.416 of each other at a top speed of 1.55, line up 8 times a period, and the computed loop closes to 1.2×10⁻³⁰.

Measured over one period

Period: 8.558142330
Masses: 1 : 1 : 0.5
Energy: -0.896327
Angular momentum: 0
Closest approach: 0.4165
Top speed: 1.555
Path length: 20.812
Alignments per period: 8
Stability: weakly unstable (|λ|max 2.553)
Loop closure: 1.2×10⁻³⁰

Neighbours on the map

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