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