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Sidereal Time, Civil Time and Solar Time

A look at the different ways we measure time

Written By on in Astronomy 1

Sidereal Time, Civil Time and Solar Time

637 words, estimated reading time 3 minutes.

There are several different systems for measuring Time. Civil time is the system we are all familiar with, however, astronomers use a different system - sidereal time which is measured with reference to background stars in the sky, as opposed to the Sun.
 
Introduction to Astronomy Series
  1. Introduction to Astronomy
  2. The Celestial Sphere - Right Ascension and Declination
  3. What is Angular Size?
  4. What is the Milky Way?
  5. The Magnitude Scale
  6. Sidereal Time, Civil Time and Solar Time
  7. Equinoxes and Solstices
  8. Parallax, Distance and Parsecs
  9. Flux
  10. Luminosity of Stars
  11. Apparent Magnitude, Absolute Magnitude and Distance
  12. Variable Stars
  13. Spectroscopy and Spectrometry
  14. Redshift and Blueshift
  15. Spectral Classification of Stars
  16. Hertzsprung-Russell Diagram
  17. Kepler's Laws of Planetary Motion
  18. The Lagrange Points
  19. What is an Exoplanet?
  20. Glossary of Astronomy & Photographic Terms
Civil time is based on the position of the Sun in the sky. The 24 hours on a clock represent an apparent solar day. The apparent solar day is the time between successive transits of the Sun across an observer's meridian.
Civil time is the time we are accustomed to.

Apparent solar time, as measured by clocks, is not a very accurate system for measuring actual solar time. This is because the Earth's orbit is elliptical and the Earth's rotation axis is inclined by 23.5° from the orbital plane. Using this system would require clocks to run faster on some days and slower on others. To get around this, civil time uses an average solar time, which means that a solar day is an average of 24 hours and this is constant throughout the year. The difference between average solar time and apparent solar time is called the equation of time and varies by up to 16.25 minutes throughout the year. This average time gives rise to the Greenwich Mean Time.

Sidereal Time for Astronomers

During the course of a year, the Sun appears to move around the sky along the ecliptic, and if we look at the night sky each month at midnight we will see that the constellations also appear to move around the sky (albeit much slower). Consequently, the time as measured by the distant stars and the solar time measured by the Sun cannot be equal.

Astronomers time is best measured with reference to the background stars and is referred to as sidereal time.

The normal definition of a sidereal day is "the time between successive transits of the First Point of Aries" whereas the mean solar day is defined as the average time between transits of the sun. The Earth has a normal rotation rate of 365 times per year, so we expect the sun to transit 365 times in the year, compared with 366 transits of our chosen star. The extra transit occurs after the final transit of the Sun. This accounts for the difference between solar time and sidereal time.

By dividing the "extra" day into 365 parts, we can calculate that a sidereal day is about 4 minutes shorter that a solar day. Consequently, stars appear to rise 4 minutes earlier each evening.

The zero point used for sidereal time is the transit of the First Point of Aries at Greenwich, England, also known as Greenwich Sidereal Time (GST). It is 0 hours at solar noon at the time of the March equinox (approximately March 21). It is also 0h at midnight at the time of the September equinox (approximately September 21) in Greenwich.

Greenwich Sidereal Time is the local sidereal time for observers at Greenwich. Observers at other longitudes will also have their own local sidereal time (LST). This is calculated from GST using the following formula.

LST=GST+lambda
Equation 14 - Local Sidereal Time

Where λ is the observer's longitude expressed in hours:minutes.

Worked Example

Assume Greenwich Sidereal time is 12:30. What is local sidereal time at an observatory located at +20° (or 20° E)?

Longitude needs to be converted into hours and minutes. Since 24h = 360°, 20° corresponds to:

{24h}*{20/360}=1.3h
Equation 15 - Calculate Local Sidereal Time

1.33 hours is the decimal form of 1h 20 minutes.

LST=12:30+1:20
LST=13:50
Equation 16 - Local Sidereal Time Calculation

Hour Angle, Sidereal Time and Right Ascension

The hour angle (HA) of a celestial body is defined in as the angle measured westwards in units of time along the celestial equator from the observer's meridian to the hour circle passing through the celestial body. It, therefore, represents the sidereal time that has elapsed since that object was on the meridian.

It follows directly from this definition that the LST is the hour angle of the First Point of Aries.

The following equations illustrate the relationships between Local Sidereal Time, Right Ascension and Hour Angle.

LST=HA+RA
HA=LST-RA
RA=LST-HA
Equation 17 - Relationship between LST, HA and RA

Last updated on: Thursday 20th July 2017

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Comments
  1. Axel
    Axel

    I just read all the articles under Astronomy and I've got a astrophysics test in 2 days. After reading the articles I feel confident because the articles really did help me alot.

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