Atlas1,165 of 3,915

I.B.76

m₃ = 0.75

From Li & Liao (2017)

I.B.76 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 138.18 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 1271), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00342 of each other at a top speed of 18.2, line up 188 times a period, and the computed loop closes to 2.8×10⁻²⁵.

Measured over one period

Period: 138.1775267
Masses: 1 : 1 : 0.75
Energy: -1.34434
Angular momentum: 0
Closest approach: 0.003415
Top speed: 18.23
Path length: 356.83
Alignments per period: 188
Stability: unstable (|λ|max 1271)
Loop closure: 2.8×10⁻²⁵

Neighbours on the map

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