A Test of Relativistic Simultaneity - Revision history

DeHilster: /* Galileo-Newtonian Relativity */

2018-03-16T16:16:51Z

Galileo-Newtonian Relativity

← Older revision		Revision as of 12:16, 16 March 2018
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	The time from the lab generator to the detectors is <math display="inline">d_L/c</math> and <math display="inline">d'_{L}/c</math> respectively. As this distance ( <math display="inline">d_L</math> is on the order of meters), the time is on the order of 3E-9 sec, and the time difference for moving and lab detectors is on the order of 1E-17 sec, and may be safely ignored for this discussion. So we are concerned only with the difference in arrival time of the satellite signal at a given point. In the moving frame, the time from satellite emission to reception is:		The time from the lab generator to the detectors is <math display="inline">d_L/c</math> and <math display="inline">d'_{L}/c</math> respectively. As this distance ( <math display="inline">d_L</math> is on the order of meters), the time is on the order of 3E-9 sec, and the time difference for moving and lab detectors is on the order of 1E-17 sec, and may be safely ignored for this discussion. So we are concerned only with the difference in arrival time of the satellite signal at a given point. In the moving frame, the time from satellite emission to reception is:

	<math>(11)\ \ t_S'=\frac{d_S'}{c}=\frac{(d_S+vt_S)}{c}=t_S\bigg(1+\frac{v}{c}\bigg)</math>		<math>(11)\ \ t_S'=\frac{d_S'}{c}=\frac{(d_S+vt_S)}{c}=t_S\bigg(1+\frac{v}{c}\bigg)</math>

	Thus the time difference between the moving and lab frames is given by:		Thus the time difference between the moving and lab frames is given by:

DeHilster: /* Final Implementation */

2017-04-09T15:47:06Z

Final Implementation

← Older revision		Revision as of 11:47, 9 April 2017
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	<figure id="fig:Ten">		<figure id="fig:Ten">
	[[Image:CurtRenshaw Fig10.png\|thumbnail\|~~500px~~\|<caption>Final Experiment Block Diagram</caption>]]		[[Image:CurtRenshaw Fig10.png\|thumbnail\|700px\|<caption>Final Experiment Block Diagram</caption>]]
	</figure>		</figure>

DeHilster: /* Detailed Approach */

2017-04-09T15:46:12Z

Detailed Approach

← Older revision		Revision as of 11:46, 9 April 2017
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	<figure id="fig:Eight">		<figure id="fig:Eight">
	[[Image:CurtRenshaw Fig8.png\|thumbnail\|~~300px~~\|<caption>Block Diagram of Experiment</caption>]]		[[Image:CurtRenshaw Fig8.png\|thumbnail\|700px\|<caption>Block Diagram of Experiment</caption>]]
	</figure>		</figure>

DeHilster: /* Detailed Approach */

2017-04-09T15:45:16Z

Detailed Approach

← Older revision		Revision as of 11:45, 9 April 2017
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	<figure id="fig:Six">		<figure id="fig:Six">
	[[Image:CurtRenshaw Fig6.png\|thumbnail\|~~300px~~\|<caption>Sample Phase Shift Result for Lab and Moving Frames</caption>]]		[[Image:CurtRenshaw Fig6.png\|thumbnail\|500px\|<caption>Sample Phase Shift Result for Lab and Moving Frames</caption>]]
	</figure>		</figure>

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	<figure id="fig:Seven">		<figure id="fig:Seven">
	[[Image:CurtRenshaw Fig7.png\|thumbnail\|~~300px~~\|<caption>GPS Timing Shift with Velocity for Satellites at Zenith and Horizon</caption>]]		[[Image:CurtRenshaw Fig7.png\|thumbnail\|500px\|<caption>GPS Timing Shift with Velocity for Satellites at Zenith and Horizon</caption>]]
	</figure>		</figure>

DeHilster: /* Final Implementation */

2017-04-09T15:44:26Z

Final Implementation

← Older revision		Revision as of 11:44, 9 April 2017
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	<figure id="fig:Nine">		<figure id="fig:Nine">
	[[Image:CurtRenshaw Fig9.png\|thumbnail\|~~300px~~\|<caption>Two Satellite Configuration</caption>]]		[[Image:CurtRenshaw Fig9.png\|thumbnail\|500px\|<caption>Two Satellite Configuration</caption>]]
	</figure>		</figure>

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	<figure id="fig:Ten">		<figure id="fig:Ten">
	[[Image:CurtRenshaw Fig10.png\|thumbnail\|~~300px~~\|<caption>Final Experiment Block Diagram</caption>]]		[[Image:CurtRenshaw Fig10.png\|thumbnail\|500px\|<caption>Final Experiment Block Diagram</caption>]]
	</figure>		</figure>

DeHilster: /* Top Level Conceptual Approach */

2017-04-09T15:40:15Z

Top Level Conceptual Approach

← Older revision		Revision as of 11:40, 9 April 2017
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	<figure id="fig:four">		<figure id="fig:four">
	[[Image:CurtRenshaw Fig4.png\|thumbnail\|~~500px~~\|<caption>Top Level Block Diagram</caption>]]		[[Image:CurtRenshaw Fig4.png\|thumbnail\|700px\|<caption>Top Level Block Diagram</caption>]]
	</figure>		</figure>

DeHilster: /* Top Level Conceptual Approach */

2017-04-09T15:39:45Z

Top Level Conceptual Approach

← Older revision		Revision as of 11:39, 9 April 2017
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	<figure id="fig:four">		<figure id="fig:four">
	[[Image:CurtRenshaw Fig4.png\|thumbnail\|~~300px~~\|<caption>Top Level Block Diagram</caption>]]		[[Image:CurtRenshaw Fig4.png\|thumbnail\|500px\|<caption>Top Level Block Diagram</caption>]]
	</figure>		</figure>

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	<figure id="fig:five">		<figure id="fig:five">
	[[Image:CurtRenshaw Fig5.png\|thumbnail\|~~300px~~\|<caption>Phase Shift</caption>]]		[[Image:CurtRenshaw Fig5.png\|thumbnail\|500px\|<caption>Phase Shift</caption>]]
	</figure>		</figure>

DeHilster at 15:37, 9 April 2017

2017-04-09T15:37:14Z

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DeHilster: Reverted edits by DeHilster (talk) to last revision by Maintenance script

2017-04-09T15:33:33Z

Reverted edits by DeHilster (talk) to last revision by Maintenance script

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DeHilster at 15:30, 9 April 2017

2017-04-09T15:30:08Z

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