How to find the position of a star in the sky

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Discussion Overview

The discussion revolves around determining the position of a star in the sky, specifically focusing on how to calculate the right ascension (RA) and declination (DEC) of a star at a given time and location on Earth. The scope includes theoretical and practical aspects of astronomy, as well as programming applications for visualizing the sky.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants clarify that the RA and DEC of a star are generally fixed, with minor real motions, and do not change based on the observer's location or time.
  • Others emphasize that the visibility of stars overhead does depend on the observer's date, time, and geographic location.
  • One participant suggests using resources like "Practical astronomy with your calculator" for further guidance on the topic.
  • A method for converting stellar coordinates (RA, DEC) to Earth coordinates is mentioned, with references to external resources for local sidereal time.
  • Another participant explains that declination at the observer's location corresponds to their latitude, while right ascension is influenced by the local sidereal time and the observer's longitude.
  • There is a mention of the need to account for precession when seeking highly accurate star positions, as star coordinates can change over time.
  • Some participants express interest in deriving the formula for star positioning, with one noting they are writing a program to visualize the sky based on this information.
  • Questions arise regarding the extent of derivation, including considerations like Earth's precession and elliptical orbit.

Areas of Agreement / Disagreement

Participants generally agree on the fixed nature of RA and DEC for stars, but there are multiple competing views on the methods and considerations necessary for calculating their positions from a specific location and time. The discussion remains unresolved regarding the best approach to derive the necessary formulas.

Contextual Notes

Participants mention various assumptions, such as the need to account for precession and the definitions of celestial coordinates, which may affect the accuracy of the calculations. There are also references to external resources that may have limitations or specific contexts.

Imaginedvl
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Hello,

Sorry if this is not the right place but I'm trying to find this for days now...

I'm trying to find a working formula to determine the position (r.asc/decl) of a star at any given time and for a specific location on earth.

So the parameter would be:

R. Asc. of the star
Decl. of the star
Long. on earth
Lat. on earth
Date
Hour

And the result would be

R. Asc. of the star
Decl. of the star


(EDIT: I forgot the Long/Lat parameters ;-))
Thanks!
 
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The RA and DEC of a star are fixed (except for small real motions) and don't depend on your position on Earth or the date/time.
The set of stars visible overhead do depend on the date/time and position.

A good place to start is probably "Practical astronomy with your calculator"
 
mgb_phys said:
The RA and DEC of a star are fixed (except for small real motions) and don't depend on your position on Earth or the date/time.
The set of stars visible overhead do depend on the date/time and position.

A good place to start is probably "Practical astronomy with your calculator"

Hi mgb,

Yes I used the wrong term for the result. It is actually the position of the star overhead for a specific location/date time that I want to know. Not sure in what this should be expressed.

"Practical astronomy with your calculator", thanks for the reference. Actually I had a book like this and lost it few years ago. I guess it would be a good idea to buy a new one and this one sounds to be a very good start.
 
Imagine a line starting from the center of the Earth and passing out through your head. When you look straight up, you're looking along that line. Due to the definition of declination, the declination of the star there is simply your latitude. The star's right ascension depends on where the vernal equinox is--and sidereal time tells you that, with 0:00 corresponding to it being at the prime meridian. Right ascension is the difference between your longitude and the sidereal time, converted to degrees. If your longitude is 70 degrees West, for example, and the sidereal time is 5:00 (75 degrees), that would mean the vernal equinox is 5 degrees to the west of the star. Right ascension would be 5 degrees.

Depending on the level of accuracy you want, you may have to account for precession. Since the Earth's axis is wobbling due to the torque of the Sun and Moon, the right ascension and declination of any star changes with time. Most star catalogues give coordinates valid for J2000.0: noon on January 1, 2000, so to get extremely accurate coordinates, you'd have to precess your calculated RA and Dec. to that epoch.
 
Are you interested in finding the formula, or deriving it? It would be a good exercise.
 
When you look straight up, you're looking along that line. Due to the definition of declination, the declination of the star there is simply your latitude.

I never realized it even it is so obvious now that I'm reading it...

flatmaster said:
Are you interested in finding the formula, or deriving it? It would be a good exercise.

I'm trying to write a small program to draw the sky for specific location/position, so I'm actually I'm trying to find the formula :) And yes it is a good exercise.
I think I got enough information so far in the thread to be able to do it.
 
Imaginedvl said:
I never realized it even it is so obvious now that I'm reading it...



I'm trying to write a small program to draw the sky for specific location/position, so I'm actually I'm trying to find the formula :) And yes it is a good exercise.
I think I got enough information so far in the thread to be able to do it.

I've actually written such a program before, so if you have any questions, feel free to ask!
 
Well, if you want to derive it, how far do you want to take it? precession of earth? eliptical Earth orbit?
 

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