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Exercises

Part I: The Distance To M12

Note: It is highly recommended that your read the Introduction before you start at this exercise.

Observations, data reduction and analysis
The globular cluster M12 was observed on June 18th, 1999 using the FORS1 instrument on ANTU (UT1) of the VLT at the ESO Paranal Observatory (Chile). For this exercise we have chosen images of the outer parts of the cluster where there are slightly fewer stars. The exposures were taken through a blue filter (B-band) and through a green filter (V-band for Visual).

To observe and to reduce data (the process of removing instrumental and other artefacts from the data) is a job requiring large telescopes and sophisticated computer programs. The really interesting part for astronomers — the data analysis — starts afterwards.

In this exercise the data has already been collected and reduced. We have simplified the analysis a little by selecting a set of stars that can be considered as representative of the population of the whole cluster.

Hints for analysing the images
To analyse the images, the B and V magnitudes of each star have to be measured carefully. Errors made in the first parts of this exercise will affect the later results.

The 45 stars are split into six sections:
  • 1-2 Nine stars nos. 1 to 9 — ‘training stars’
  • A,B,C,D Thirty-six stars nos. 10-45 are split into four groups (A, B, C and D).

Make sure your measurements are consistent.