Atlas1,942 of 3,915

II.C.95

m₃ = 0.75

From Li & Liao (2017)

II.C.95 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 57.444 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 944.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000403 of each other at a top speed of 53.3, line up 142 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 57.44433198
Masses: 1 : 1 : 0.75
Energy: -1.93382
Angular momentum: 0
Closest approach: 4.0×10⁻⁴
Top speed: 53.30
Path length: 159.20
Alignments per period: 142
Stability: unstable (|λ|max 944.5)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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