Right Ascension and Declination to the Horizon

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SUMMARY

The discussion focuses on calculating the differences in Right Ascension (RA) and Declination (DEC) when observing from a specific Longitude and Latitude at sea level. It establishes that the difference in declination is solely dependent on the observer's height, while the difference in right ascension is influenced by both height and declination. The calculations require consideration of the Earth's radius, the observer's height above sea level, and the time of year and day. A rough estimate of the RA and DEC window at sea level is sought for practical applications.

PREREQUISITES
  • Understanding of celestial coordinates: Right Ascension and Declination
  • Basic knowledge of spherical geometry
  • Familiarity with Earth's radius and its impact on horizon calculations
  • Awareness of how time affects celestial observations
NEXT STEPS
  • Research the mathematical formulas for calculating RA and DEC from a given height
  • Explore the effects of Earth's curvature on astronomical observations
  • Learn about the relationship between observer height and horizon distance
  • Investigate how seasonal variations influence celestial positioning
USEFUL FOR

Astronomers, navigators, and anyone interested in celestial navigation and the impact of observer height on astronomical observations will benefit from this discussion.

Philosophaie
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Let's just say I was on a ship in the middle of the ocean. I am at a certain Longitude and Latitude with a Right Ascension (RA0) and Declination (DEC0) looking straight up into the heavens. If I look East how many degrees (RA and DEC) difference from my initial location to the horizon? Also in the other directions also.
 
Last edited:
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Hi Philosophaie! :smile:

Depends on height.

The difference in declination depends only on height.

The difference in right ascension depends on height and on declination.

Draw a sphere, stick a pin in it of height h, and draw a tangent. :wink:
 
The h=0 at mean sea level. You would only have the radius of the Earth at the specified longitude and latitude. I just want the extents of the RA and DEC window at sea level just a rough estimate.
 
At h = 0, the horizon is at distance 0.
 
The Right Ascension of the horizon at h=0 is not zero. The distance will always take into consideration the radius of the Earth in its calculations plus h. The value is dependent upon the time of year and time of day in addition to the Longitude and Latitude.
 
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