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An Economics-based Energy Account for Classical Mechanics

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  • Professor John M. Hartwick

Abstract

Simple operations transform Hamilton's equations for particle motion in classical mechanics into energy units. Then one obtains a single equation in location, location-changes, momenta and momenta-changes with the interpretation: income from capital, in units of energy, balances with current investment expenditure on location changes and momenta changes, also in units of energy. For the special case of periodic motion, the inflow-useflow sub-accounts for distinct position variables and for distinct momenta variables balance over the period of motion

Suggested Citation

  • Professor John M. Hartwick, 2005. "An Economics-based Energy Account for Classical Mechanics," Computing in Economics and Finance 2005 13, Society for Computational Economics.
  • Handle: RePEc:sce:scecf5:13
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    File URL: http://repec.org/sce2005/up.11845.1103036499.pdf
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    References listed on IDEAS

    as
    1. Hartwick, John M., 2004. "Sustaining periodic motion and maintaining capital in classical mechanics," Japan and the World Economy, Elsevier, vol. 16(3), pages 337-358, August.
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    More about this item

    Keywords

    particle dynamics; energy account;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology

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