Geodesics As Hamiltonian Flows
In mathematics, the geodesic equations are second-order non-linear differential equations, and are commonly presented in the form of Euler–Lagrange equations of motion. However, they can also be presented as a set of coupled first-order equations, in the form of Hamilton's equations. This latter formulation is developed in this article.
Read more about Geodesics As Hamiltonian Flows: Overview, Geodesics As An Application of The Principle of Least Action, Hamiltonian Approach To The Geodesic Equations
Famous quotes containing the word flows:
“Through this broad street, restless ever,
Ebbs and flows a human tide,
Wave on wave a living river;
Wealth and fashion side by side;
Toiler, idler, slave and master, in the same quick current glide.”
—John Greenleaf Whittier (18071892)