Atlas2,049 of 3,915

II.C.53

m₃ = 0.75

From Li & Liao (2017)

II.C.53 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 51.64 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 412.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000665 of each other at a top speed of 41.4, line up 90 times a period, and the computed loop closes to 8.0×10⁻²⁵.

Measured over one period

Period: 51.63981430
Masses: 1 : 1 : 0.75
Energy: -1.55480
Angular momentum: 0
Closest approach: 6.6×10⁻⁴
Top speed: 41.40
Path length: 134.27
Alignments per period: 90
Stability: unstable (|λ|max 412.4)
Loop closure: 8.0×10⁻²⁵

Neighbours on the map

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