Sidereal Time: Clarifying Contradictory Definitions

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SUMMARY

Sidereal time is defined in two ways: as the right ascension (RA) of a star on the local meridian and as 12 hours minus the RA when considering the vernal equinox. The confusion arises when applying these definitions to specific celestial events, such as the position of the sun at noon on the vernal equinox, where the RA is 0, leading to the conclusion that sidereal time should be 0 hours. However, the correct interpretation requires understanding that sidereal time is measured from midnight, thus necessitating a 180-degree rotation of the Earth, resulting in a sidereal time of 12 hours.

PREREQUISITES
  • Understanding of celestial coordinates, specifically right ascension (RA).
  • Familiarity with the concept of the local meridian in astronomy.
  • Knowledge of Earth's rotation and its impact on timekeeping.
  • Basic grasp of the vernal equinox and its significance in celestial navigation.
NEXT STEPS
  • Study the relationship between sidereal time and solar time in astronomical contexts.
  • Explore the calculation of sidereal time using the formula: Sidereal Time = RA + Hour Angle.
  • Investigate the implications of the vernal equinox on timekeeping and celestial navigation.
  • Learn about the differences between mean solar time and sidereal time in astronomy.
USEFUL FOR

Astronomy students, educators, and anyone interested in understanding celestial navigation and timekeeping principles will benefit from this discussion.

Starproj
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Help!

I need some clarification on definitions, because it seems like I am getting contradictory information.

My textbook defines sidereal time as simply the right ascension that is on the local meridian. It further defines sidereal time as being the RA of a star + the hour angle of the star, which makes sense, as if the hour angle was zero, the star is on the meridian, and it's RA would be the sidereal time. So once again, sidereal time equals the RA on the local meridian.

I get that and am ready to accept that definition.

But then I am presented with a specific: the vernal equinox. At noon on the vernal equinox the sun is on the meridian. From my understanding based on the definition above, the sidereal time would be 0 hours, as RA = 0 is on my meridian. But the book claims that I have to rotate Earth 180 degrees and that sidereal time is equal to 12 hours - RA on meridian.

So it seems I have two contradictory definitions of sidereal time:

1) Sidereal time = RA on local meridian
2) Sidereal time = 12 hours - RA on local meridian.

They can't both be right. What am I missing? What is the book trying to differentiate?

Thanks in advance!
 
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Isn't sidereal time from midnight
 

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