L = 1 2 μ ( r ˙ 2 + r 2 θ ˙ 2 ) + k r {\displaystyle L={\frac {1}{2}}\mu ({\dot {r}}^{2}+r^{2}{\dot {\theta }}^{2})+{\frac {k}{r}}}
방정식은 두 가지가 나오는데,
ℓ = μ r × r θ ˙ {\displaystyle \ell =\mu r\times r{\dot {\theta }}}
m r ] = μ r θ ˙ ¨ 2 − k r 2 {\displaystyle m{\ddot {r]=\mu r{\dot {\theta }}}}^{2}-{\frac {k}{r^{2}}}}
![{\displaystyle m{\ddot {r]=\mu r{\dot {\theta }}}}^{2}-{\frac {k}{r^{2}}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/af680f87106e6c2a35a0f364a50b56927c9745aa)