Transformation between Terrestrial Frames - Revision history

Carlos.Lopez at 11:41, 23 February 2012

2012-02-23T11:41:59Z

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

Carlos.Lopez at 08:50, 23 January 2012

2012-01-23T08:50:21Z

← Older revision		Revision as of 08:50, 23 January 2012
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	\|Level=Intermediate		\|Level=Intermediate
	\|YearOfPublication=2011		\|YearOfPublication=2011
			\|Logo=gAGE
	\|Title={{PAGENAME}}		\|Title={{PAGENAME}}
	}}		}}

Jaume.Sanz at 12:23, 18 January 2012

2012-01-18T12:23:47Z

← Older revision		Revision as of 12:23, 18 January 2012
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	where <math>T_1</math>, <math>T_2</math>, <math>T_3</math> are three translation parameters, <math>D</math> is a scale factor and <math>R_1</math>, <math>R_2</math> and <math>R_3</math> are three rotation angles.		where <math>T_1</math>, <math>T_2</math>, <math>T_3</math> are three translation parameters, <math>D</math> is a scale factor and <math>R_1</math>, <math>R_2</math> and <math>R_3</math> are three rotation angles.

	Transformation parameters from ITRF2000 to ~~pats~~ ITRFs are listed in table 4.1 of IERS Conventions (2003) [Denis et al., 2004].<ref> [Denis et al., 2004] Denis, D., McCarthy and Petit, G., 2004. IERS Conventions (2003). IERS Technical Note 32. IERS Convention Center., Frankfurt am Main.</ref>		Transformation parameters from ITRF2000 to past ITRFs are listed in table 4.1 of IERS Conventions (2003) [Denis et al., 2004].<ref> [Denis et al., 2004] Denis, D., McCarthy and Petit, G., 2004. IERS Conventions (2003). IERS Technical Note 32. IERS Convention Center., Frankfurt am Main.</ref>

Jaume.Sanz at 12:14, 18 January 2012

2012-01-18T12:14:36Z

← Older revision		Revision as of 12:14, 18 January 2012
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	where <math>T_1</math>, <math>T_2</math>, <math>T_3</math> are three translation parameters, <math>D</math> is a scale factor and <math>R_1</math>, <math>R_2</math> and <math>R_3</math> are three rotation angles.		where <math>T_1</math>, <math>T_2</math>, <math>T_3</math> are three translation parameters, <math>D</math> is a scale factor and <math>R_1</math>, <math>R_2</math> and <math>R_3</math> are three rotation angles.

	Transformation parameters from ITRF2000 to pats ITRFs are listed in table 4.1 of IERS Conventions (2003) [Denis et al., 2004].<ref> [Denis et al., 2004] Denis, D., McCarthy and Petit, G., 2004. IERS Conventions (2003). IERS Technical Note 32.. IERS Convention Center., Frankfurt am Main.</ref>		Transformation parameters from ITRF2000 to pats ITRFs are listed in table 4.1 of IERS Conventions (2003) [Denis et al., 2004].<ref> [Denis et al., 2004] Denis, D., McCarthy and Petit, G., 2004. IERS Conventions (2003). IERS Technical Note 32. IERS Convention Center., Frankfurt am Main.</ref>

Jaume.Sanz at 07:51, 18 January 2012

2012-01-18T07:51:12Z

← Older revision		Revision as of 07:51, 18 January 2012
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	{{Article Infobox2		{{Article Infobox2
	\|Category=Fundamentals		\|Category=Fundamentals
	\|Authors=J. Sanz Subirana, JM. Juan Zornoza and M. ~~Hernandez~~-Pajares, University of ~~Catalunia~~, Spain.		\|Authors=J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
	\|Level=Intermediate		\|Level=Intermediate
	\|YearOfPublication=2011		\|YearOfPublication=2011

Jaume.Sanz at 12:34, 16 January 2012

2012-01-16T12:34:35Z

← Older revision		Revision as of 12:34, 16 January 2012
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	{{Article Infobox2		{{Article Infobox2
	\|Category=Fundamentals		\|Category=Fundamentals
	~~\|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=Intermediate		\|Level=Intermediate
	\|YearOfPublication=2011		\|YearOfPublication=2011
			\|Title={{PAGENAME}}
	}}		}}
	From elemental linear algebra, all transformations between two Cartesian coordinate systems can be decomposed in a shift vector <math> \left ( \Delta \mathbb{\mathbf X}=[\Delta x, \Delta y, \Delta z] \right )</math>, three consecutive rotations around the coordinate axes (<math> \theta_1</math>, <math>\theta_2</math>, <math>\theta_3</math>), and a scale factor (<math>\alpha</math>). That is, they can be described by the following equation, which involves 7 parameters:		From elemental linear algebra, all transformations between two Cartesian coordinate systems can be decomposed in a shift vector <math> \left ( \Delta \mathbb{\mathbf X}=[\Delta x, \Delta y, \Delta z] \right )</math>, three consecutive rotations around the coordinate axes (<math> \theta_1</math>, <math>\theta_2</math>, <math>\theta_3</math>), and a scale factor (<math>\alpha</math>). That is, they can be described by the following equation, which involves 7 parameters:
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	<math>		<math>
	\begin{array}{l}		\begin{array}{l}
	\mathbb{\mathbf ~~R_1~~}[\theta]=\left [		\mathbb{\mathbf R}_1[\theta]=\left [
	\begin{array}{ccc}		\begin{array}{ccc}
	1 & 0 & 0\\		1 & 0 & 0\\

Timo.Kouwenhoven: Text replace - "|Level=Medium" to "|Level=Intermediate"

2011-11-06T07:48:45Z

Text replace - "|Level=Medium" to "|Level=Intermediate"

← Older revision		Revision as of 07:48, 6 November 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=Intermediate
	\|YearOfPublication=2011		\|YearOfPublication=2011
	}}		}}

Carlos.Lopez at 15:35, 27 October 2011

2011-10-27T15:35:28Z

← Older revision		Revision as of 15:35, 27 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=~~Basic~~		\|Level=Medium
	\|YearOfPublication=2011		\|YearOfPublication=2011
	}}		}}

Carlos.Lopez at 15:11, 8 August 2011

2011-08-08T15:11:18Z

← Older revision		Revision as of 15:11, 8 August 2011
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	[[Category:Fundamentals]]		[[Category:Fundamentals]]
			[[Category:GNSS Time Reference, Coordinate Frames and Orbits]]

Carlos.Lopez at 09:09, 5 August 2011

2011-08-05T09:09:46Z

← Older revision		Revision as of 09:09, 5 August 2011
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	\|YearOfPublication=2011		\|YearOfPublication=2011
	}}		}}
	From elemental linear algebra, all transformations between two Cartesian coordinate systems can be decomposed in a shift vector (<math>\Delta \mathbb{\mathbf X}=[\Delta x, \Delta y, \Delta z]</math>), three consecutive rotations around the coordinate axes (<math>\theta_1</math>, <math>\theta_2</math>, <math>\theta_3</math>), and a scale factor (<math>\alpha</math>). That is, they can be described by the following equation, which involves 7 parameters:		From elemental linear algebra, all transformations between two Cartesian coordinate systems can be decomposed in a shift vector <math> \left ( \Delta \mathbb{\mathbf X}=[\Delta x, \Delta y, \Delta z] \right )</math>, three consecutive rotations around the coordinate axes (<math> \theta_1</math>, <math>\theta_2</math>, <math>\theta_3</math>), and a scale factor (<math>\alpha</math>). That is, they can be described by the following equation, which involves 7 parameters:


	::<math>		::<math>