Atlas1,414 of 3,915

II.C.78

m₃ = 0.75

From Li & Liao (2017)

II.C.78 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 139.73 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 16.25), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00103 of each other at a top speed of 33.3, line up 112 times a period, and the computed loop closes to 9.6×10⁻²⁵.

Measured over one period

Period: 139.7264949
Masses: 1 : 1 : 0.75
Energy: -0.940866
Angular momentum: 0
Closest approach: 0.001030
Top speed: 33.28
Path length: 299.96
Alignments per period: 112
Stability: unstable (|λ|max 16.25)
Loop closure: 9.6×10⁻²⁵

Neighbours on the map

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