I am trying out the Lagrange equations for the first time, in this case for a particle in orbit around a massive body using classical mechanics. I come up with(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

2 \dot r \dot \theta + r \ddot \theta = 0[/tex]

[tex]

\ddot r - r \dot \theta ^2 + \frac {GM}{r^2}=0

[/tex]

These seem credible to me but are unfamiliar. Are they correct?

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# Equations of orbit

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