General tools from GAIA WGs

• Scanning law: sampling by GAIA
• Photometric Accuracy

Specific tools for variability treatment

• Variability Index

  • Abbe test:
  • von Neumann, 1941 Annals of math. stat., Vol 12, 367 and subsequent articles
  • Welch & Stetson, 1993, AJ 105, 1813
  
  
  

• Periodicity

  • General:
    • Reimann, PhD Thesis 2004, Frequency Estimation Using Unequally-Spaced Astronomical Data
    • Heck, Manfroid & Mersch, 1985, A&AS 59, 63 On period determination methods
    • Schwarzenberg-Czerny, 1999, ApJ 516, 315 Optimum period search: Quantitative analysis
  • Fourrier transform:
  • Deeming, 1975, Ap&SS 36, 137 (1976, Ap&SS 42, 257), in Super Mongo , in FORTRAN
  • Lomb, 1976, Ap&SS 39, 447 , (see algorithm of Press) in FORTRAN described on NR website Section 13.8
  • Scargle, 1989, ApJ 343, 874 , (see algorithm of Press) in FORTRAN described on NR website Section 13.8
  • Horne & Baliunas, 1986, ApJ 302, 757, in IDL
  • Ferraz-Mello, 1981, AJ 86, 619
  • Roberts et al., 1987, AJ 93, 968 "CLEAN" Algorithm, Code in FORTRAN from Doug Welch (McMaster University, Canada) or contact the authors (roberts at brandeis.edu, jlehar at alum.mit.edu) to get an original version
  • Press et al. (fasper.f) in FORTRAN described on NR website Section 13.8
  • Kurtz (faster) 1985, MNRAS 213, 773
  • Mignard (FAMOUS algorithm), 2005, package available (version 10 July 2005) here (FORTRAN90). For latest version see ftp.obs-nice.fr/pub/mignard/Famous
  • Cumming, Marcy & Butler, 1999, ApJ, 526, 890 for floating mean periodogram
  • Kunis & Potts NFFT in C
  • String method
  • Lafler & Kinman, 1965, ApJS 11, 216
  • Renson 1978, A&A 63, 125
  • PDM-ANOVA
  • Jurkevich 1971, Ap&SS 13, 154
  • Stellingwerf, 1978, ApJ 224, 953, in IDL
  • Schwarzenberg-Czerny 1989, MNRAS 241, 153
  • Wavelets:
  • Foster 1996, AJ 112, 1709, adapted by F.Kienzle in Fortran,
  • Otazu et al., 2002, MNRAS 333, 365
  
  
  

• Outlier light-curve identification

  • Protopapas, Giammarco, Faccioli, Struble, Dave, Alcock, 2005, astroph/0505495 Finding outlier light-curves in catalogs of periodic variable stars

• Time-scales

  • Structure functions
  • Hughes, Aller & Aller, 1992, ApJ 396, 469
  • Variograms
  • Eyer & Genton, 1999, A&AS 136, 421
  
  
  

• Period changes:

  • See PASP volume: The Light-Time Effect in Astrophysics, Proceedings of ASP Conference Series, Vol. 335, held in Brussels 19-22 July 2004. Edited by C. Sterken. Astronomical Society of the Pacific, 2005
  
  
  

• Autocorrelation:

  • Bartholdi, 1988, Compte rendu des Journee de Strasbourg 10, 77
  • Edelson & Krolik, 1988, ApJ 333, 646
  
  
  

• Classification:

  • Classification by Self Organizing maps (SOMs) by Vasily Belokurov
  • Classification by a Bayesian Classifier of ASAS (All Sky Automated Survey) data by Laurent Eyer and Cullen Blake
  • Classification by Support Vector Machine by Philip Willemsen and Laurent Eyer
  
  
  

• Nyquist Frequency:

  • Eyer & Bartholdi, 1999, A&AS 135, 1
  • Bretthorst, 2003, in: Statistical challenges, eds E.D. Feigelson, G.J. Babu, 309
  
  

• Other links:

  • See also the links of other available programs on ENEAS (European Network of Excellence in AsteroSeismology)
  
  
  Last modification: Laurent Eyer, October 24 2005