What is the diameter of star clusters?

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SUMMARY

The diameter of star clusters can be calculated using the formula: diameter = 2π × (distance to the cluster) × (cluster's angular size in degrees)/360°. To determine the distance to the cluster, one can use the absolute magnitude available in the SIMBAD database. The angular size can be derived from the calculated distance or found in other astronomical catalogs accessible through SIMBAD. This approach leverages trigonometric principles, assuming the cluster is spherical.

PREREQUISITES
  • Understanding of absolute magnitude and its relation to distance
  • Familiarity with the SIMBAD astronomical database
  • Basic knowledge of trigonometry and angular size calculations
  • Experience with astronomical catalogs and data retrieval
NEXT STEPS
  • Learn how to calculate distance using absolute magnitude from SIMBAD
  • Research methods for determining angular size in astronomy
  • Explore the VizieR catalog service for additional astronomical data
  • Study the calculation of the diameter of celestial objects, such as the Moon
USEFUL FOR

Astronomers, astrophysics students, and anyone interested in calculating the dimensions of star clusters using astronomical data.

randa177
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Maybe this is stupid question, but I am not sure how to get the diameter of the star cluster, I assume from the RA and Dec. I googled it and tried to come with a realtion between the RA , Dec and Diameter from Andrea's proposal but couldn't figure the correct answer
This is all I find (see below please)... but I don't know the distance or the angular size, just RA and Dec from SIMBAD data base
diameter = 2p × (distance to the cluste) × (clsuter's angular size in degrees)/360°
 
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randa177 said:
Maybe this is stupid question, but I am not sure how to get the diameter of the star cluster, I assume from the RA and Dec. I googled it and tried to come with a realtion between the RA , Dec and Diameter from Andrea's proposal but couldn't figure the correct answer
This is all I find (see below please)... but I don't know the distance or the angular size, just RA and Dec from SIMBAD data base
diameter = 2p × (distance to the cluste) × (clsuter's angular size in degrees)/360°

hey, i can't quite remember everything, but here goes:

if u have the magnitude of the cluster u can work out the distance to the cluster. the absoulte magnitude of the cluster will (should) be on simbad.

the equation for magnitude and distance is:
http://ceres.hsc.edu/homepages/classes/astronomy/spring99/Mathematics/sec19.html

u can work out the angular size using the distance u just calculated using:
http://galacticfool.com/what-is-angular-size/

however, it should be poss to find out the cluster's angular size from a catalogue.
If simdbad doesn't have it, use the search tool to search thro all the other cataloguesthat simbad has access too:
http://vizier.u-strasbg.fr/viz-bin/VizieR

enter the cluster's name or ra and dec and it will give u a list of catalogues which has data on which u can view by selecting them. it will take some time but u prob will be able to find the clusters angular size :) (no gauntees of course!) if u do have enough info to use the formula i would recommend doing it the formula way lol for time purposes

the eqaution u wrote is based on triganometry, and assuming the cluster is spherical (just like working out the disameter of the moon, but further away) so i would recommend looking up about working out the diamter of the moon, they have good diagrams to help u visualise the problem and understand it better

hope this helps

p.s apologys for the poor spelling!
 
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