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In this chapter we apply aspects of Newtonian particle and field dynamics using the differential geometric language established in previous chapters. In particular we outline the dynamical structure of the Newtonian interaction between extended self-gravitating continuous media in space.

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Applications of Differential Geometry to Newtonian Dynamics

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  • 发表日期：

    2025年

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  • Robin W. Tucker,
  • Timothy J. Walton

摘要

In this chapter we apply aspects of Newtonian particle and field dynamics using the differential geometric language established in previous chapters. In particular we outline the dynamical structure of the Newtonian interaction between extended self-gravitating continuous media in space.