11 lines
455 B
Markdown
11 lines
455 B
Markdown
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PROBLEM
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Find the law of transformation of the action S from one inertial frame to another.
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SOLUTION. The Lagrangian is equal to the difference of the kinetic and potential energies,
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and is evidently transformed in accordance with a formula analogous to (8.5):
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Integrating this with respect to time, we obtain the required law of transformation of the
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action:
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S=S'tuV.R'+1uV2t,
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where R' is the radius vector of the centre of mass in the frame K'.
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