How do you calculate declination and Right Ascension from Earth Coordinates?

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SUMMARY

To calculate declination and Right Ascension (RA) from Earth coordinates, one must understand that RA is measured in hours (up to 24) and declination in degrees. The Local Mean Sidereal Time (LMST) is calculated using the formula LMST = GMST0 + time * 15 + Longitude. For a location at 40.23°N and 15.89°E, the declination equals the latitude, while the RA is determined by the LMST. Star maps can be utilized globally without conversion, as they display RA and Dec coordinates relevant to the observer's position.

PREREQUISITES
  • Understanding of Local Mean Sidereal Time (LMST)
  • Familiarity with celestial coordinates: Right Ascension (RA) and Declination (Dec)
  • Knowledge of Greenwich Mean Sidereal Time (GMST0)
  • Basic astronomy concepts related to star maps and celestial navigation
NEXT STEPS
  • Research how to calculate Greenwich Mean Sidereal Time (GMST0)
  • Learn about the relationship between Local Sidereal Time and celestial observations
  • Explore the use of star maps for astronomical navigation
  • Study the impact of Earth's rotation on celestial coordinate visibility
USEFUL FOR

Astronomy enthusiasts, astrophysics students, and anyone interested in celestial navigation and the calculation of astronomical coordinates from Earth locations.

Brynjolf
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Say a person is positioned here: 40.23°N and 15.89°E and was examining the night sky.

How do you calculate the declination and Right Ascension from that location's coordinates?

I know the RA is measured in hours up to 24 and Declination in degrees.

Any ideas?
 
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Your question doesn't make much sense. Declination and Right Ascension are coordinates of a point on the sky. So it depends not on where you are on Earth, but on where in the sky you are looking. At any time, you can see half the sky, so you could be looking at a wide range of RA and Dec coordinates.
 
Hi Brynjolf

welcome to PF :)

yes I have to agree with physguy on that one. Starmaps/atlases are produced showing RA and Dec co-ordinates of the sky. You are able to use that star map anywhere in the world without having to do any conversion.

The only thing that varies is whether a particular RA and Dec co-ordinate is above or below your local horizon at a given time of the day/year from you current location

cheers
Dave
 
Straight up Azimith = 0 and Altitude = 90 at":

40.23°N and 15.89°E

RA = LMST

DEC = Latitude = 15.89°E

LMST (Local Mean Sidereal Time = GMST0 + time * 15 + Longitude)
GMST0 (Greenwich Mean Sidereal Time at Midnight)

https://www.physicsforums.com/showthread.php?t=636728
 
Last edited:

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