Atlas1,813 of 3,915

II.C.91

m₃ = 0.75

From Li & Liao (2017)

II.C.91 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 99.776 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 260.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000285 of each other at a top speed of 63.4, line up 130 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 99.77624233
Masses: 1 : 1 : 0.75
Energy: -1.30367
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 63.40
Path length: 253.08
Alignments per period: 130
Stability: unstable (|λ|max 260.1)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

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