Question

what is a first integral of motion?​

Answer 1

Integral of motion

A subset of the constants of motion are the integrals of motion, or first integrals, defined as any functions of only the phase-space coordinates that are constant along an orbit. ... Examples of integrals of motion are the angular momentum vector, , or a Hamiltonian without time dependence.

Answer 2

First Integral of Motion

A subset of the constants of motion are the integrals of motion, or first integrals, defined as any functions of only the phase-space coordinates that are constant along an orbit.

Examples of integrals of motion are the angular momentum vector, , or a Hamiltonian without time dependence, such as .

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