So having been through translation and rotation I can conclude that my book has found 3 conserved quantities in classical dynamics:
Energy
Angular momentum
Momentum
That is 7 separate quantities which are conserved E,Lx,Ly,Lz,px,py,pz
But this question is bothering me: How do we know that there are not more conserved quantities?
Energy
Angular momentum
Momentum
That is 7 separate quantities which are conserved E,Lx,Ly,Lz,px,py,pz
But this question is bothering me: How do we know that there are not more conserved quantities?