Conservation of Momentum in Relativity

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I had gotten into this discussion in several places and didn't want to do the math out. But I've decided that it's time to stop being lazy. I just completed deriving the conservation relations for angular momentum and linear momentum for conservative systems.

I put it here

www.geocities.com/physics_world/sr/momentum_conservation.htm

In that page three relations are derived. For a conservative system

(1) The total angular momentum is conserved

(2) The total linear momentum is conserved

(3) The "center of mass/energy vector" R is related to P, the total momentum of a conservative system, by P = M(dR/dt) = MV where M = "Total (relativistic) mass = "total energy"/c^2

Also "center of mass vector" = "center of energy vector"


Pete

 

[eljose79]

,

Thank you for sharing your work on deriving conservation relations for angular momentum and linear momentum in conservative systems. As a fellow scientist, I appreciate your dedication to not only participating in discussions, but also taking the time to do the math and provide a clear explanation for others to understand.

Your page on geocities is well-organized and easy to follow. Your derivations for the three conservation relations are thorough and well-supported. I especially appreciate your inclusion of the "center of mass/energy vector" R and its relation to the total momentum of a conservative system.

Conservation laws are fundamental principles in physics and it is important for scientists to understand and apply them accurately. Your work serves as a valuable resource for those studying these concepts. I encourage you to continue sharing your knowledge and contributing to scientific discussions.

Thank you for your dedication to the field of physics and for sharing your work with others. Keep up the great work!