Atlas1,178 of 3,915

I.B.39

m₃ = 0.75

From Li & Liao (2017)

I.B.39 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 97.754 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 65.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000712 of each other at a top speed of 40, line up 124 times a period, and the computed loop closes to 7.0×10⁻²⁵.

Measured over one period

Period: 97.75425233
Masses: 1 : 1 : 0.75
Energy: -1.26478
Angular momentum: 0
Closest approach: 7.1×10⁻⁴
Top speed: 40.05
Path length: 236.93
Alignments per period: 124
Stability: unstable (|λ|max 65.80)
Loop closure: 7.0×10⁻²⁵

Neighbours on the map

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