THE TECHNIQUES OF LEAST SQUARES AND STELLAR PHOTOMETRY WITH CCDs

Peter B. Stetson


Dominion Astrophysical Observatory
Herzberg Institute of Astrophysics
National Research Council of Canada
5071 West Saanich Road, Victoria, British Columbia V8X 4M6, Canada

A series of five lectures presented at:

V Escola Avancada de Astrofisica
1989 July 30 - August 3
Aguas de Sao Pedro, Brazil

Organized by:

Beatriz Barbuy, Antonio Mario Magalhaes,
Eduardo Janot Pacheco, and Sueli Viegas-Aldrovandi
Departamento de Astronomia
Instituto Astronomico e Geofisico
Universidade de Sao Paulo


Table of Contents

LECTURE 1: LINEAR LEAST SQUARES
Problem 1: Fitting a straight line to simple data
Problem 2: Unequal errors
Problems 3 and 4: More complex equations

SUMMARY: A GENERAL METHODOLOGY FOR LINEAR LEAST SQUARES

A FEW MORE ADVANCED EXAMPLES
Radioactive decay
Parallel Lines
Transforming coordinates

LECTURE 2: PARAMETER ERROR ESTIMATES AND NONLINEAR LEAST SQUARES
Parameter error estimates
Nonlinear Least Squares
Fitting a model profile to a star image
Really fitting model profiles to star images

LECTURE 3: TWO TIMES WHEN THE COOKBOOK ISN'T ENOUGH
Errors in several coordinates
Non-Gaussian error distributions

LECTURE 4: STELLAR PHOTOMETRY WITH CCDs - FITS GALORE
FIND
APERTURE PHOTOMETRY AND SKY DETERMINATION
PROFILE MODELLING
PROFILE FITTING - ALLSTAR

LECTURE 5: STELLAR PHOTOMETRY WITH CCDs - AFTER THE FITS ARE OVER
Growth curves
Matching stars between frames
One last fling

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