Moving Regression: A Tool for the Statistical and Astrometrical Analyses of Solar Observations

  • M. L. Bougeard
  • J. M. Grosbras
  • F. Laclare
Part of the Ettore Majorana International Science Series book series (EMISS, volume 40)


In this Paper, we perform regressions on the solar observations made at the CERGA Observatory, through a moving window the size of which is chosen taking into account the physical constraints. After some statistical considerations, the results obtained with different sizes of window are analysed. Graphical comparisons are carried out on the estimators obtained by the usual method and by the new one for the 1978, 1979 and 1980 compaigns. They show that the latter is much more adequate to exhibit some periodic terms confirmed in the case of the sun demi-diameter through another analysis of oneothe authors (Laclare, 1985). Furthermore, the increased accuracy of the estimations in the parameters of the relative solar orbit (Bougeard and al 1983) shows that this method is relevant.


Orbital Element Physical Constraint Graphical Comparison Periodic Term Solar Observation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bougeard M.L.1982. Analyse des observations du Soleil l’astrolabe du Cerga, moire Observatoire de Paris.Google Scholar
  2. Bougeard M.L., Chollet F., Laclare F. 1983. Astron. Astroph., 126, 161–169ADSGoogle Scholar
  3. Bougeard M.L., Laclare F. 1984. Mesures du diamtre solaire et des lments orbitaux de la Terre, Symposium GS5 Paris, d. Requime, 87–91.Google Scholar
  4. Chollet F. 1981. Doctor thesis, Paris Observatory.Google Scholar
  5. Collomb G. 1986. “Analyse d’une série temporelle et prédictions non-paramétriques”,in Asymptotic Theory for non iid Process, ed. Florens, Pub, Fac. Univ. Saint-Louis, Bruxelles, p.37–75.Google Scholar
  6. Delache P. Laclare F. Sadsaoud H. 1985. “Long period oscillations in solar diameter measurements”,Nature, 317. p. 416–418.ADSCrossRefGoogle Scholar
  7. Huang K.I. Zhou X. 1981. “The Whittaker-Vondrak method of data smoothing as a numerical filter”,Chin. Astron. Astroph., 5. p.449–454MathSciNetADSCrossRefGoogle Scholar
  8. Laclare F. 1983. Astron. Astroph., 125. p.200–205.ADSGoogle Scholar
  9. Rao P. Miller R.L. 1971. “Applied econometrics”,Wadsworth.Google Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • M. L. Bougeard
    • 1
    • 2
  • J. M. Grosbras
    • 3
  • F. Laclare
    • 4
  1. 1.IUTUniv. Paris XVille d’AvrayFrance
  2. 2.Observatoire de ParisUA 1125 CNRSParisFrance
  3. 3.ENSAEFrance
  4. 4.CERGAGrasseFrance

Personalised recommendations