Solar and Sidereal Times relationship - Revision history

Jaume.Sanz at 10:31, 13 January 2013

2013-01-13T10:31:03Z

← Older revision		Revision as of 10:31, 13 January 2013
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	There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.		There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.

	As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves ~~counter~~ clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).		As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).

	::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]		::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]

Carlos.Lopez at 11:41, 23 February 2012

2012-02-23T11:41:31Z

← Older revision		Revision as of 11:41, 23 February 2012
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	\|Level=Basic		\|Level=Basic
	\|YearOfPublication=2011		\|YearOfPublication=2011
	~~\|Logo=gAGE~~
	\|Title={{PAGENAME}}		\|Title={{PAGENAME}}
	}}		}}

Jaume.Sanz at 08:58, 24 January 2012

2012-01-24T08:58:06Z

← Older revision		Revision as of 08:58, 24 January 2012
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	There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.		There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.

	As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves ~~counterclockwise~~ during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).		As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counter clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).

	::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]		::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]

Jaume.Sanz at 08:16, 24 January 2012

2012-01-24T08:16:24Z

← Older revision		Revision as of 08:16, 24 January 2012
Line 9:		Line 9:
	There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.		There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.

	As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves ~~counter clockwise~~ during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).		As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counterclockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).

	::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]		::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]

Jaume.Sanz at 08:12, 24 January 2012

2012-01-24T08:12:31Z

← Older revision		Revision as of 08:12, 24 January 2012
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	{{Article Infobox2		{{Article Infobox2
	\|Category=Fundamentals		\|Category=Fundamentals
	~~\|Title={{PAGENAME}}~~		\|Authors=J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
	\|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. ~~Hernandez~~-Pajares, University of ~~Catalunia~~, Spain.
	\|Level=Basic		\|Level=Basic
	\|YearOfPublication=2011		\|YearOfPublication=2011
	\|Logo=gAGE		\|Logo=gAGE
			\|Title={{PAGENAME}}
	}}		}}

	There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.		There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.

	As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counter clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days)~~. Thence, the solar day is longer than the sidereal day~~.		As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counter clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days).

	::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]		::[[File: Solar & Sidereal Time Rel Fig 1.png \|none\|thumb\|520px\|'''''Figure 1:''''' Solar and Sidereal Time.]]

Carlos.Lopez at 10:07, 28 October 2011

2011-10-28T10:07:01Z

← Older revision		Revision as of 10:07, 28 October 2011
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	\|Title={{PAGENAME}}		\|Title={{PAGENAME}}
	\|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.		\|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
	\|Level=~~Medium~~		\|Level=Basic
	\|YearOfPublication=2011		\|YearOfPublication=2011
	\|Logo=gAGE		\|Logo=gAGE

Carlos.Lopez at 08:42, 9 August 2011

2011-08-09T08:42:11Z

← Older revision		Revision as of 08:42, 9 August 2011
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	[[Category:Fundamentals]]		[[Category:Fundamentals]]
			[[Category:GNSS Time Reference, Coordinate Frames and Orbits]]
			[[Category:Time Systems]]

Carlos.Lopez at 12:35, 8 August 2011

2011-08-08T12:35:54Z

← Older revision		Revision as of 12:35, 8 August 2011
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	}}		}}

	There is a slight difference between a sidereal day and a solar (or synodic day) due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.		There is a slight difference between a ''sidereal day'' and a ''solar'' (or ''synodic day'') due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.

	As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counter clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days). Thence, the solar day is longer than the sidereal day.		As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counter clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days). Thence, the solar day is longer than the sidereal day.
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	The difference between the mean sidereal day and mean solar day can be derived approximately as follows: As in a Solar Tropic year <ref group="footnotes"> Tropic year is the elapsed time between two successive culminations of sun by the Mean Equinox. It has a duration of 365.2422 mean solar days.</ref>, the mean solar time delayed 1 day respect to the mean sidereal time, thence:		The difference between the ''mean sidereal'' day and ''mean solar day'' can be derived approximately as follows: As in a Solar Tropic year <ref group="footnotes"> ''Tropic year'' is the elapsed time between two successive culminations of sun by the Mean Equinox. It has a duration of 365.2422 mean solar days.</ref>, the mean solar time delayed 1 day respect to the mean sidereal time, thence:

	::<math>		::<math>
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	Thence, a sidereal day is shorter than the solar day for about <math>3^m56</math>.		Thence, a ''sidereal day'' is shorter than the solar day for about <math>3^m56</math>.


	The conversion between UT1 and Apparent and Mean Sidereal Time is given by equations (2) and (3) (see [[CEP to ITRF]] article)		The conversion between UT1 and ''Apparent'' and ''Mean Sidereal Time'' is given by equations (2) and (3) (see [[CEP to ITRF]] article)

	::<math>		::<math>

Carlos.Lopez: Created page with "{{Article Infobox2 |Category=Fundamentals |Title={{PAGENAME}} |Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain. |Level=Medium..."

2011-08-08T12:34:30Z

Created page with "{{Article Infobox2 |Category=Fundamentals |Title={{PAGENAME}} |Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain. |Level=Medium..."

New page

{{Article Infobox2
|Category=Fundamentals
|Title={{PAGENAME}}
|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
|Level=Medium
|YearOfPublication=2011
|Logo=gAGE
}}

There is a slight difference between a sidereal day and a solar (or synodic day) due to the relative movement between the sun and the earth as a consequence of its annual translation. Figure 1 illustrates the concept.

As it is shown in Figure 1, the Aries reference point (<math>\gamma</math>), as seen from the earth, apparently moves counter clockwise during the course of one year (with respect to the sun reference). After one year, the sun and Aries directions coincide again, but the number of laps relative to the sun (solar days) is one less than those relative to Aries (sidereal days). Thence, the solar day is longer than the sidereal day.

::[[File: Solar & Sidereal Time Rel Fig 1.png |none|thumb|520px|'''''Figure 1:''''' Solar and Sidereal Time.]]

The difference between the mean sidereal day and mean solar day can be derived approximately as follows: As in a Solar Tropic year <ref group="footnotes"> Tropic year is the elapsed time between two successive culminations of sun by the Mean Equinox. It has a duration of 365.2422 mean solar days.</ref>, the mean solar time delayed 1 day respect to the mean sidereal time, thence:

::<math>
\frac{24^h}{365.2422}\simeq 3^m56^s
\qquad \mbox{(1)}
</math>

Thence, a sidereal day is shorter than the solar day for about <math>3^m56</math>.

The conversion between UT1 and Apparent and Mean Sidereal Time is given by equations (2) and (3) (see [[CEP to ITRF]] article)

::<math>
\Theta_{_G}=\theta_{_G} +\alpha _E
\qquad \mbox{(2)}
</math>

::<math>
\theta_{G_0}=6^h41^m 50^s_{\cdot}54841+8640184_{\cdot}^s812866\,T_u+0_{\cdot}^s093104\,T_u^2-6^s_{\cdot}2 \, 10^{-6}\, T_u^3
\qquad \mbox{(3)}
</math>

==Notes==
<references group="footnotes"/>

==References==
<references/>

[[Category:Fundamentals]]