Atlas1,128 of 3,915

I.B.52

m₃ = 0.5

From Li & Liao (2017)

I.B.52 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 90.547 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.062), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000522 of each other at a top speed of 50.5, line up 120 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 90.54651149
Masses: 1 : 1 : 0.5
Energy: -1.01648
Angular momentum: 0
Closest approach: 5.2×10⁻⁴
Top speed: 50.55
Path length: 215.68
Alignments per period: 120
Stability: weakly unstable (|λ|max 1.062)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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