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.
 G. W. Collins II, “The Virial Theorem in Stellar Astrophics,” 2003. http://ads.harvard.edu/books/1978vtsa.book/bookfnt.pdf
 R. Sunyk and P. Steinmann, “On Higher Gradients in Continuum-Atomistic Modeling,” International Journal of Solids and Structures, Vol. 40, No. 24, 2003, pp. 6877-6896. doi:10.1016/j.ijsolstr.2003.07.001