equation 27.26 eq:cfs-energy-conserved

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:627

Rests on

Supports

Nothing declares a dependency on this node yet.

Neighborhood

Every logical edge within two steps of this node.

equation 27.26: eq:cfs-energy-conserved27.26equation 27.24: eq:cfs-potential27.24equation 19.4: eq:newt-fma19.4proposition 27.24: Radial form of the energy27.24definition A.658: The orbit functionA.658phenomenon 19.10: Force, mass and acceleration19.10proposition 19.71: The Newtonian closed system is a Lagrangian system19.71theorem 27.30: Reduction of the two-body problem27.30theorem 19.32: Conservation of energy19.32theorem 19.12: Galilean covariance of the second law19.12theorem 19.38: Work–energy theorem19.38equation 27.44: eq:cfs-relative-derivation27.44

Edges

typedirectionnode provenancewhere
step_from eq:cfs-potential declared — the chain rule on $V(\vect{x}(t))$ and the second law on the kinetic term parts/03-classical-mechanics/10-central-forces-statics.tex:632
step_from eq:newt-fma declared — the chain rule on $V(\vect{x}(t))$ and the second law on the kinetic term parts/03-classical-mechanics/10-central-forces-statics.tex:632