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Merge pull request #79 from kloimhardt/emmy-sicm-ch01
spherical typo
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src/mentat_collective/emmy/sicm_ch01.clj

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(def md
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(comp kindly/hide-code kind/md))
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(md "# Emmy, the Algebra System: Classical Mechanics Chapter One")
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(md "The following examples are taken from the open-access book [Structure and Interpretation of Classical Mechanics (SICM)](https://mitp-content-server.mit.edu/books/content/sectbyfn/books_pres_0/9579/sicm_edition_2.zip/chapter001.html).")
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(md "Another notebook can be found on the [Road to Reality website](https://reality.mentat.org/essays/reality/introduction#welcome-to-the-road-to-reality!) by [Sam Ritchie](https://samritchie.io/index/), the author (along with [Colin Smith](https://github.com/littleredcomputer)) of [Emmy, the Computer Algebra System](https://emmy.mentat.org).")
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(md "## 1.4 Computing Actions")
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(md "First task: Calculate the action for the free particle along a path. Consider the particle moving at uniform speed along a straight line.")
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((ang-mom-z 'm) rectangular-state)
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((compose (ang-mom-z 'm) (F->C s->r)) spherical-state)))
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(md "Using sherical coordinates, calculate the generalized forces and the generalized momenta of a planet moving in a central potential. Thus show that the momentum conjugate to the third coordinate $\\phi$ is (1) conserved (because the respective force is zero) and (2) identical the z-component of the angular momentum.")
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(md "Using spherical coordinates, calculate the generalized forces and the generalized momenta of a planet moving in a central potential. Thus show that the momentum conjugate to the third coordinate $\\phi$ is (1) conserved (because the respective force is zero) and (2) identical the z-component of the angular momentum.")
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(def V (literal-function 'V))
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