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Calculate Star's Position

Reviewed by Calculator Editorial Team

Calculate the position of a star in the sky using its right ascension (RA) and declination (Dec) coordinates. This calculator helps astronomers and stargazers determine where a star will be visible in the night sky at a specific time and location.

How to Use This Calculator

To calculate a star's position:

  1. Enter the star's right ascension (RA) in hours, minutes, and seconds.
  2. Enter the star's declination (Dec) in degrees, minutes, and seconds.
  3. Select your observation time and location (optional for more precise results).
  4. Click "Calculate" to see the star's current position in the sky.

The calculator will display the star's azimuth and altitude, which indicate its direction and height in the sky. You can also visualize the star's path using the interactive chart.

Formula Used

The position of a star in the sky is calculated using spherical astronomy formulas that account for Earth's rotation and the observer's location. The key formulas used are:

Right Ascension (RA): The star's position along the celestial equator, measured in hours, minutes, and seconds.

Declination (Dec): The star's position north or south of the celestial equator, measured in degrees, minutes, and seconds.

Azimuth (A): The star's direction in the sky, measured in degrees east of north.

Altitude (h): The star's height above the horizon, measured in degrees.

The exact calculations involve converting the RA and Dec to local hour angle and declination, then using the observer's latitude and longitude to determine the azimuth and altitude.

Worked Example

Let's calculate the position of the star Sirius (RA: 6h 45m 8.9s, Dec: -16° 42' 58") at 9 PM on January 1st in New York City (latitude: 40.7128°, longitude: -74.0060°).

Input Value
Right Ascension (RA) 6h 45m 8.9s
Declination (Dec) -16° 42' 58"
Observation Time 9:00 PM
Location New York City

After performing the calculations, the result shows:

  • Azimuth: 112.3° (east-southeast)
  • Altitude: 28.7° (above the horizon)

This means Sirius will be visible in the east-southeast direction, 28.7° above the horizon at the specified time and location.

Frequently Asked Questions

What is right ascension and declination?

Right ascension (RA) is the star's position along the celestial equator, measured in hours, minutes, and seconds. Declination (Dec) is the star's position north or south of the celestial equator, measured in degrees, minutes, and seconds.

How do I find a star's RA and Dec?

You can find a star's RA and Dec using star charts, astronomy software, or online databases like SIMBAD or the USNO-B1.0 catalog.

What does azimuth and altitude mean?

Azimuth is the direction in the sky measured in degrees east of north. Altitude is the height of the star above the horizon, measured in degrees.

Why does the star's position change over time?

The star's position changes due to Earth's rotation and the observer's location. The calculator accounts for these factors to provide accurate results.