Atlas1,496 of 3,915

II.C.49

m₃ = 0.75

From Li & Liao (2017)

II.C.49 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 122.34 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 9336), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0147 of each other at a top speed of 8.83, line up 76 times a period, and the computed loop closes to 2.0×10⁻²⁶.

Measured over one period

Period: 122.3430902
Masses: 1 : 1 : 0.75
Energy: -0.830462
Angular momentum: 0
Closest approach: 0.01472
Top speed: 8.834
Path length: 246.92
Alignments per period: 76
Stability: unstable (|λ|max 9336)
Loop closure: 2.0×10⁻²⁶

Neighbours on the map

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