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The volumetric or internal dissipation function S is computed for different scenarios. By insertion in the dissipative Lagrange equations the equations of motion are obtained. Various (dissipative) pendulum problems will be studied: the mathematical pendulum, the rod pendulum, the hammer pendulum, and the sector pendulum. Each of these problems allows to get new inside into how to set up the internal dissipation function. Finally we will use this approach for a study of the tidal locking problem of celestial objects, such as the Moon.

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Incorporating Dissipation in the Lagrange Equations: Part II—Examples

  • 章节

  • 发表日期：

    2025年

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  • Wolfgang H. Müller,
  • Ekaterina A. Podolskaya,
  • Alexey S. Smirnov,
  • Boris A. Smolnikov

摘要

The volumetric or internal dissipation function S is computed for different scenarios. By insertion in the dissipative Lagrange equations the equations of motion are obtained. Various (dissipative) pendulum problems will be studied: the mathematical pendulum, the rod pendulum, the hammer pendulum, and the sector pendulum. Each of these problems allows to get new inside into how to set up the internal dissipation function. Finally we will use this approach for a study of the tidal locking problem of celestial objects, such as the Moon.