Accurate Fourier Decomposition of Cepheid Radial Velocity Curves

Structural Properties of s - Cepheid Velocity Curves ⋆

The light curves of the first overtone Pop. I Cepheids (s-Cepheids) show a discontinuity in their φ 21 vs. P diagram, near P = 3.2 day. This feature, commonly attributed to the 2:1 resonance between the first and the fourth overtones (ω 4 ≈ 2ω 1), is not reproduced by the hydrodynamical models. With the goal of reexamining the resonance hypothesis, we have obtained new CORAVEL radial velocity c...

The Structural Properties of Cepheid Velocity Curves

Fourier decompositions are performed on the velocity curves of 11 classical Cepheids. The progression of curve shape with period is described in terms of combinations of the lower order Fourier coefficients. These quantities are shown to change with pulsation period in a manner similar to that already demonstrated for Cepheid light variations (Simon and Lee). We recommend further velocity obser...

Classical Cepheid Light Curves Revisited

The Structural Properties Of Cepheid Light Curves

Fourier decompositions are performed for the V magnitude variations of a sample of 57 Cepheids ranging in period from 2 to 17 days. The coefficients have been tabulated to allow rapid reconstruction of the light curves. It is shown that combinations of the low-order coefficients quantitatively describe the progression of curve shape with period. The pulsation amplitude plays only a minor role. ...

Nonrigid Point Correspondence Recovery for Planar Curves Using Fourier Decomposition

A novel method of point correspondence recovery between planar curves is presented in this paper where motion between the curves is nonrigid. Fourier transformation is used to decompose planar curves into a set of ellipses, each at a different frequency level. The point correspondences between two planar curves is based on the correspondences between two ellipses in the same frequency level. At...