Needs clarification on right ascension and this example

In summary, right ascension is a celestial coordinate used to measure the east-west position of a celestial object in the sky. It differs from declination, which measures the north-south position. Right ascension is important in astronomy for accurately locating and tracking objects, and there are different systems for measuring it, including hours, minutes, and seconds and decimal degrees.
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TL;DR Summary
See example and attached solution
NVM, these are all given: Find the altitude and azimuth of the Moon in Helsinki at midnight at the beginning of 1996. The right ascension is α = 2 h 55 min 7 s = 2.9186 h and declination δ = 14◦ 42 = 14.70◦, the sidereal time is Θ = 6 h 19 min 26 s = 6.3239 h and latitude φ = 60.16◦. It's pretty simple when these are given.
 
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Use the formula:Altitude = arcsin (sin(δ) * sin(φ) + cos(δ) * cos(φ) * cos(Θ - α))Azimuth = arctan (sin(Θ - α) / [cos(Θ - α) * sin(φ) - tan(δ) * cos(φ)])Altitude = arcsin (sin(14.70◦) * sin(60.16◦) + cos(14.70◦) * cos(60.16◦) * cos(6.3239h - 2.9186h)) = arcsin(0.237 * 0.866 + 0.973 * 0.5 * 0.769) = arcsin(0.813) = 58.93◦ Azimuth = arctan (sin(6.3239h - 2.9186h) / [cos(6.3239h - 2.9186h) * sin(60.16◦) - tan(14.70◦) * cos(60.16◦)]) = arctan(0.769 / [-0.769 * 0.866 - 0.2586 * 0.5]) = arctan(-
 

FAQ: Needs clarification on right ascension and this example

What is right ascension?

Right ascension is a celestial coordinate that is used to measure the east-west position of a celestial object in the sky. It is often compared to longitude on Earth.

How is right ascension measured?

Right ascension is measured in hours, minutes, and seconds, with 24 hours representing a full circle around the celestial sphere. It is typically measured from the vernal equinox, the point where the celestial equator intersects the ecliptic.

What is the purpose of right ascension?

Right ascension is used to locate and track celestial objects in the sky. It is an important coordinate in astronomy and is used to determine the position of stars, planets, and other objects.

What is the example given for clarification on right ascension?

The example given for clarification on right ascension is often the use of the star Polaris, also known as the North Star, as a reference point for measuring right ascension. Due to its close proximity to the North Celestial Pole, Polaris has a constant right ascension, making it a useful guide for finding other objects in the night sky.

Why is it important to understand right ascension?

Understanding right ascension is crucial for accurately locating and studying celestial objects. It is also important for navigation and timekeeping, as it is used to determine the position of Earth in relation to the stars and other celestial bodies.

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