Abstract
The virial theorem is written by using the canonical equations of motion in classical mechanics. A moving particle with an initial speed in an n-particle system is considered. The distance of the moving particle from the origin of the system to the final position is derived as a function of the kinetic energy of the particle. It is thought that the considered particle would not collide with other particles in the system. The relation between the final and initial distance of the particle from the origin of the system is given by a single equation.
Highlights
The calculations on the virial theorem are done to obtain an equation explaining the relations between the kinetic energy and potential energy of a particle and an equation describing the maximum distance travelled by this particle in a stable system
The virial theorem gives the general equation between kinetic energy and potential energy of a stable system of n particles bound by potential forces
The reader who likes to learn more about the virial theorem is recommended to see the book [2]
Summary
The calculations on the virial theorem are done to obtain an equation explaining the relations between the kinetic energy and potential energy of a particle and an equation describing the maximum distance travelled by this particle in a stable system. It was realized that the Equations (13) and (16) are first presented in this study. The calculations done in this study will be useful in astronomy.
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