Atlas1,869 of 3,915

II.C.70

m₃ = 0.75

From Li & Liao (2017)

II.C.70 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 45.49 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 461.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000789 of each other at a top speed of 37.9, line up 112 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 45.48965387
Masses: 1 : 1 : 0.75
Energy: -1.93160
Angular momentum: 0
Closest approach: 7.9×10⁻⁴
Top speed: 37.91
Path length: 126.51
Alignments per period: 112
Stability: unstable (|λ|max 461.6)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

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