Atlas1,095 of 3,915

I.B.80

m₃ = 0.5

From Li & Liao (2017)

I.B.80 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 99.363 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 564.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000707 of each other at a top speed of 43.4, line up 164 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 99.36325745
Masses: 1 : 1 : 0.5
Energy: -1.16383
Angular momentum: 0
Closest approach: 7.1×10⁻⁴
Top speed: 43.39
Path length: 244.34
Alignments per period: 164
Stability: unstable (|λ|max 564.6)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

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