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    <title>Mechanics on Trojan TeaHouse</title>
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      <title>Verification of the Existence of Normal Coordinates for Small Vibrations</title>
      <link>https://trojanpt.github.io/en/jottings/normal-mode/</link>
      <pubDate>Wed, 23 Jul 2025 00:00:00 +0000</pubDate>
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      <description>For the first-order small vibrations of a mechanical system near its stable equilibrium position, there exist normal modes equal in number to its degrees of freedom.</description>
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      <title>Vibrations of an Elastic Body in a Gravitational Field</title>
      <link>https://trojanpt.github.io/en/jottings/vibration-of-elasticbody/</link>
      <pubDate>Thu, 26 Jun 2025 00:00:00 +0000</pubDate>
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      <description>Small-amplitude vibrations of an incompressible elastic rope in a gravitational field.</description>
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