L ( x → , v → , t ) = T ( v → ) − V ( x → , t ) = 1 2 m ( v → + v → Erd ) 2 − V ( x → , t ) {\displaystyle {\begin{aligned}{\mathcal {L}}({\vec {x}},{\vec {v}},t)&=T({\vec {v}})&-V({\vec {x}},t)\\&={\frac {1}{2}}m({\vec {v}}+{\vec {v}}_{\text{Erd}})^{2}&-V({\vec {x}},t)\\\end{aligned}}}