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II.B.8

m₃ = 0.75

From Li, Jing & Liao (2018)

II.B.8 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 130.24 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 121), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000217 of each other at a top speed of 72.5, line up 196 times a period, and the computed loop closes to 1.8×10⁻²³.

Measured over one period

Period: 130.2350125
Masses: 1 : 1 : 0.75
Energy: -1.43183
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 72.54
Path length: 346.05
Alignments per period: 196
Stability: unstable (|λ|max 121.0)
Loop closure: 1.8×10⁻²³

Neighbours on the map

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