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	<id>http://naturalphilosophy.org/wiki/index.php?action=history&amp;feed=atom&amp;title=Celestial_Mechanics_in_Spherical_Space</id>
	<title>Celestial Mechanics in Spherical Space - Revision history</title>
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	<updated>2026-04-10T15:54:52Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Celestial_Mechanics_in_Spherical_Space&amp;diff=23059&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="http://naturalphilosophy.org/wiki/index.php?title=Celestial_Mechanics_in_Spherical_Space&amp;diff=23059&amp;oldid=prev"/>
		<updated>2017-01-02T02:22:48Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:22, 1 January 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l20&quot;&gt;Line 20:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 20:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scientific Paper|celestial mechanics spherical space]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scientific Paper|celestial mechanics spherical space]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;/table&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Celestial_Mechanics_in_Spherical_Space&amp;diff=17156&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="http://naturalphilosophy.org/wiki/index.php?title=Celestial_Mechanics_in_Spherical_Space&amp;diff=17156&amp;oldid=prev"/>
		<updated>2017-01-01T17:07:39Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:07, 1 January 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l16&quot;&gt;Line 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 16:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Abstract==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Abstract==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Dynamic Universe model describes space as the surface of a four-dimensional sphere expanding in the direction of the 4-radius. Instead of being defined as a physical constant the velocity of light becomes determined by the velocity of space in the fourth dimension. The changing velocity of light and the dynamics of space allow time to be defined as a universal scalar. Local mass centres modify space in the fourth dimension, giving a space geometry with features that are closely related to those of the Schwarzschild metrics based on four-dimensional space-time. In the modified space geometry the local velocity of light is a function of the local tilting of space in the fourth dimension. The precise geometry of space makes it possible to solve the effect of the 4-D topology on Kepler&#039;s laws and the orbital equation. The perihelion shift of planetary orbits can be derived in closed mathematical form as the rotation of the main axis of Kepler&#039;s orbit relative to the reference coordinate system. For a full revolution the rotation is D&amp;lt;sub&amp;gt;j&amp;lt;/sub&amp;gt; = 6pGM/c&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;a(1 - e&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) like the corresponding prediction in the general theory of relativity.[[Category:Scientific Paper]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Dynamic Universe model describes space as the surface of a four-dimensional sphere expanding in the direction of the 4-radius. Instead of being defined as a physical constant the velocity of light becomes determined by the velocity of space in the fourth dimension. The changing velocity of light and the dynamics of space allow time to be defined as a universal scalar. Local mass centres modify space in the fourth dimension, giving a space geometry with features that are closely related to those of the Schwarzschild metrics based on four-dimensional space-time. In the modified space geometry the local velocity of light is a function of the local tilting of space in the fourth dimension. The precise geometry of space makes it possible to solve the effect of the 4-D topology on Kepler&#039;s laws and the orbital equation. The perihelion shift of planetary orbits can be derived in closed mathematical form as the rotation of the main axis of Kepler&#039;s orbit relative to the reference coordinate system. For a full revolution the rotation is D&amp;lt;sub&amp;gt;j&amp;lt;/sub&amp;gt; = 6pGM/c&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;a(1 - e&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) like the corresponding prediction in the general theory of relativity.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scientific Paper&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|celestial mechanics spherical space&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:New Energy]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:New Energy]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Celestial_Mechanics_in_Spherical_Space&amp;diff=6141&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="http://naturalphilosophy.org/wiki/index.php?title=Celestial_Mechanics_in_Spherical_Space&amp;diff=6141&amp;oldid=prev"/>
		<updated>2016-12-30T15:51:14Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox paper&lt;br /&gt;
| title = Celestial Mechanics in Spherical Space&lt;br /&gt;
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_648.pdf Link to paper]&lt;br /&gt;
| author = [[Tuomo Suntola]]&lt;br /&gt;
| keywords = [[Cosmology]], [[zero-energy principle]], [[Dynamic]]&lt;br /&gt;
| published = 2001&lt;br /&gt;
| journal = [[Apeiron]]&lt;br /&gt;
| volume = [[8]]&lt;br /&gt;
| number = [[3]]&lt;br /&gt;
| num_pages = 22&lt;br /&gt;
| pages = 65-86&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Read the full paper&amp;#039;&amp;#039;&amp;#039; [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_648.pdf here]&lt;br /&gt;
&lt;br /&gt;
==Abstract==&lt;br /&gt;
&lt;br /&gt;
The Dynamic Universe model describes space as the surface of a four-dimensional sphere expanding in the direction of the 4-radius. Instead of being defined as a physical constant the velocity of light becomes determined by the velocity of space in the fourth dimension. The changing velocity of light and the dynamics of space allow time to be defined as a universal scalar. Local mass centres modify space in the fourth dimension, giving a space geometry with features that are closely related to those of the Schwarzschild metrics based on four-dimensional space-time. In the modified space geometry the local velocity of light is a function of the local tilting of space in the fourth dimension. The precise geometry of space makes it possible to solve the effect of the 4-D topology on Kepler&amp;#039;s laws and the orbital equation. The perihelion shift of planetary orbits can be derived in closed mathematical form as the rotation of the main axis of Kepler&amp;#039;s orbit relative to the reference coordinate system. For a full revolution the rotation is D&amp;lt;sub&amp;gt;j&amp;lt;/sub&amp;gt; = 6pGM/c&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;a(1 - e&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) like the corresponding prediction in the general theory of relativity.[[Category:Scientific Paper]]&lt;br /&gt;
&lt;br /&gt;
[[Category:New Energy]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
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