Planetary theory and other particular dynamical problems likewise occupied his attention from time to time.
2.
It permits reducing high-dimensional dynamical problems to lower dimensions and underlies Alfred Marshall's temporary equilibrium method.
3.
But on the basis of the Fermi Rohrlich definition, this is only a dynamical problem and has nothing to do with the transformation properties any more.
4.
The third volume includes the solution of several dynamical problems by means of the calculus of variations; some papers on the integral calculus; a solution of motion for three bodies moving under their mutual attractions.
5.
A fundamental result in analytical mechanics is D'Alembert's principle, introduced in 1708 by Jacques Bernoulli to understand static equilibrium, and developed by D'Alembert in 1743 to solve dynamical problems.
6.
His solution to this complex dynamical problem involved a set of twenty partial differential equations, describing a new quantity he termed dynamical friction, which has the dual effects of decelerating the star and helping to stabilize clusters of stars.
7.
In 1983, Tremaine won the Helen B . Warner Prize for Astronomy given by the American Astronomical Society in recognition of " his many outstanding contributions to a wide range of dynamical problems in both solar-system and galactic dynamics ".
8.
In the process, Huygens obtained solutions to dynamical problems such as the period of an oscillating simple pendulum as well as a compound pendulum, center of oscillation and its interchangeability with the pivot point, and the concept of moment of inertia.
9.
In 1998, Tremaine won the Dirk Brouwer Award which is awarded by the Division of Dynamical Astronomy of the American Astronomical Society " in recognition of his many outstanding contributions to a wide range of dynamical problems in both solar-system and galactic dynamics ."
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