Calculadora de Azimute e Elevação

sen(h) = sen(lat)·sen(δ) + cos(lat)·cos(δ)·cos(H).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Elevação
43,00 °
Azimute
360,00 °

Formula

sen(h)=sen(lat)·sen(δ)+cos(lat)·cos(δ)·cos(H)

About this calculator

The Azimuth and Elevation Calculator determines the position of a celestial object in the sky based on the observer's latitude, the object's declination, and the hour angle. Azimuth is the horizontal angle measured from north, while elevation (or altitude) is the angle above the horizon. The main formula for elevation is sin(h) = sin(lat)·sin(δ) + cos(lat)·cos(δ)·cos(H), where h is elevation, lat is latitude, δ is declination, and H is the hour angle.

This tool is useful for amateur astronomers, students, and enthusiasts who want to locate stars, planets, or satellites. For example, when planning an observation, you can input the celestial coordinates and your location to know exactly where to look in the sky. It is also used to calculate the Sun's position for solar panel installation or to determine the best visibility time for a satellite.

Important precautions: declination and hour angle must be in the same coordinate system (usually decimal degrees). Latitude should be positive for the northern hemisphere and negative for the southern. Note that the calculated azimuth may need adjustments depending on the convention (true or magnetic north). Additionally, the formula assumes no atmospheric refraction, which can cause small errors near the horizon.

For accurate results, use updated values of declination and hour angle, which vary over time. Online tools like this simplify the calculation, but it is always good to verify with reliable astronomical software. This calculator is especially useful for beginners in astronomy who want to understand celestial geometry in a practical way.

Frequently asked questions

What are azimuth and elevation?

Azimuth is the horizontal angle measured from north (0°) clockwise. Elevation is the vertical angle above the horizon, ranging from 0° (horizon) to 90° (zenith).

Do I need to convert degrees to radians?

The calculator accepts decimal degrees. It handles the conversion internally, so you don't need to worry.

What is the hour angle?

The hour angle is the time elapsed since the object crossed the local meridian, measured in degrees (15° per hour). It can be calculated from right ascension and local sidereal time.

Does the calculator account for atmospheric refraction?

No. The basic formula does not include refraction. For objects near the horizon, the actual elevation may be slightly higher due to refraction.

Can I use it to calculate the Sun's position?

Yes, as long as you have the solar declination and hour angle for the desired time. Remember to adjust for time zone.

Other Astronomia e Espaco calculators