On the computation of the Laplace coefficients

doi:10.1007/bf00053045

On the computation of the Laplace coefficients

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/bf00053045 ◽

1989 ◽

Vol 46 (2) ◽

pp. 159-161 ◽

Cited By ~ 2

Keyword(s):

Laplace Coefficients

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24. Harmonic analysis of the periodic spectrum variables

Symposium - International Astronomical Union ◽

10.1017/s0074180900237807 ◽

1958 ◽

Vol 6 ◽

pp. 209-221 ◽

Cited By ~ 3

Author(s):

Armin J. Deutsch

Keyword(s):

Magnetic Field ◽

Fourier Coefficients ◽

Line Strength ◽

Rigid Rotation ◽

Stellar Atmospheres ◽

Permanent Magnetic Field ◽

Local Equivalent ◽

Laplace Coefficients ◽

Abundance Anomalies ◽

Periodic Spectrum

Certain stars are known to be periodic magnetic variables, and to show synchronous changes in line strength and radial velocity. The hypothesis has been made that the atmosphere of such a star is in rigid rotation, and that it is characterized by a permanent magnetic field and associated abundance irregularities. The magnetic potential and the local equivalent widths have been developed in spherical harmonics, and the Laplace coefficients of these expansions have been related to the Fourier coefficients of the observed curves. The theory has been applied to the star HD 125248 in an attempt to verify the original hypothesis and to map the magnetic fields and abundance anomalies over the stellar atmospheres.

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