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Absolute Magnitudes by Statistical Parallaxes

Published online by Cambridge University Press:  14 August 2015

André Heck
André Heck*
Affiliation:
Liége Institute of Astrophysics (Belgium)

Extract

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Our algorithm for stellar luminosity calibrations (based on the principle of maximum likelihood) allows the calibration of relations of the type:

Where n is the size of the sample at hand,

  • Mi, are the individual absolute magnitudes,

  • Cij are observational quantities (j = 1, …, N), and

  • qj are the coefficients to be determined.

If we put N = 1 and CiN = 1, we have the mean absolute magnitude of the sample. As additional output, the algorithm provides us also with the dispersion in magnitude of the sample σM, the mean solar motion (U, V, W) and the corresponding velocity ellipsoid (σu, σV, σw).

Type
Part I: Fundamentals of the HR Diagram
Information
Symposium - International Astronomical Union , Volume 80: The HR Diagram , 1978 , pp. 49 - 52
Copyright
Copyright © Reidel 1978 

References

Bernicki, A. (1967). Acta Astron. 17, 165.Google Scholar
Clube, S.W.M. and Dawe, J.A. (1977). Submitted to Monthly Notices Roy. Astron. Soc.Google Scholar
Heck, A. (1974). Acad. Roy. Belg. Bull. Cl. Sci. 5ème Sér. 60, 927.Google Scholar
Heck, A. (1975). Astron. Astrophys. 43, 111.Google Scholar
Heck, A. (1976). Quelques Méthodes de Détermination de la Magnitude Absolue, ed. Centre de Données Stellaires, Strasbourg.Google Scholar
Heck, A. (1977a). Astron. Astrophys. 56, 235.Google Scholar
Heck, A. (1977b). Astron. Astrophys., in press.Google Scholar
Heck, A. (1977c). Submitted to Astron. Astrophys.Google Scholar
Heck, A. and Lakaye, J.M. (1977). Submitted to Monthly Notices Roy. Astron. Soc. Google Scholar
Parenago, P.P. (1940). Astron. Zh. 17, 1.Google Scholar
Preston, G.W. (1959). Astrophys. J. 130, 507 Google Scholar
Stromgren, B. (1966). Ann. Rev. Astron. Astrophys. Vol. 4., Annual Reviews, Palo Alto, p. 433.Google Scholar