Calculate zenith distance given latitude and time of year?

In summary, zenith distance is the angular distance between the observer's zenith and a celestial body. It can be calculated using latitude and the declination of the celestial body, or altitude and azimuth. Latitude plays a role in determining the observer's position and angle of view. The time of year can also affect zenith distance due to the Earth's tilt and position in its orbit. Other factors that can affect calculation include the Earth's atmosphere, equipment accuracy, and coordinate systems.
  • #1
EzrealAsItGets
1
0

Homework Statement



Calculate the zenith distance at noon in a location whose latitude is 40° North on Dec 22 (winter solstice)2. Homework Equations + information

I know the zenith distance is the angle between the sun and the zenith, and that during the winter solstice the northern hemisphere is "farther" (By this I mean the angle is greater) away.

The Attempt at a Solution


See diagram:
U3AgpGs.png


Just want to know if I did this correctly. Thanks
 
Last edited:
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  • #2
Hello EzrealAsItGets. Welcome to physics forums.

Your solution looks good to me!
 

1. What is the zenith distance?

The zenith distance is the angular distance between the observer's zenith (directly overhead) and a celestial body, such as a star or planet.

2. How is the zenith distance calculated?

The zenith distance can be calculated using the observer's latitude and the declination of the celestial body. It can also be calculated using the altitude and azimuth of the celestial body, which can be determined using a star chart or astronomical software.

3. What role does latitude play in calculating zenith distance?

Latitude is an important factor in calculating zenith distance because it determines the observer's position on Earth and their angle of view towards the celestial body. The closer the observer is to the equator, the smaller the zenith distance will be.

4. How does the time of year affect the zenith distance?

The time of year affects the zenith distance because the Earth's tilt and its position in its orbit around the sun can change the angle at which the observer views the celestial body. For example, during the summer solstice, the sun's declination is at its maximum and the zenith distance will be at its minimum for a given latitude.

5. Are there any other factors that can affect the calculation of zenith distance?

Yes, the Earth's atmosphere can also affect the calculation of zenith distance, as it can cause refraction of light and alter the apparent position of celestial bodies. Additionally, the accuracy of the observer's equipment or the use of different coordinate systems can also affect the calculation.

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