منابع مشابه
The Principle of Least Action
In their never-ending search for general principles, from which various laws of Physics could be derived, physicists, and most notably theoretical physicists, have often made use of variational techniques. These usually involved the minimisation of certain quantities. A typical example is Fermat’s principle of least time where light, propagating between two distant points in space, is postulate...
متن کاملOn the least action principle in cosmology
Given the present distribution of mass tracing objects in an expanding universe, we develop and test a fast method for recovering their past orbits using the least action principle. In this method, termed FAM for Fast Action Minimization, the orbits are expanded in a set of orthogonal time-base functions satisfying the appropriate boundary conditions at the initial and final times. The conjugat...
متن کاملOn the Principle of Least Action
If the question were who among the philosophers was the first to realize that nature in all its operations follows the easiest path, or what amounts to the same thing, expends the least amount of effort, it would surely be ridiculous to suppose that any one modern philosopher could lay claim to this glorious discovery. The earliest philosophers had already recognized that nature does nothing in...
متن کاملThe Principle of Least Action and Clustering in
A scheme is developed which enables one to trace backwards in time the cosmic density and velocity elds, and to determine accurately the current-epoch velocity eld from the current-epoch density eld, or vice versa. The scheme implements the idea of Giavalisco et al. (1993) that the principle of least action should be used to formulate gravitational instability as a two-point boundary-value prob...
متن کاملLeast-action Principle Applied to the Kepler Problem
where G is the gravitational constant, MS is the mass of the Sun in the planet case, or the mass of the planet in the satellite case. In (1) it is assumed – for the sake of simplicity – that the mass MS remains at rest. Simultaneously, the eccentricity e defining the elliptical trajectory of a planet, or satellite, is considered as independent of a0 or T [1 – 6]. In spite of the fundamental imp...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2009
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/87/58003