I am disappointed by my graduate-level classical mechanics course, and especially the treatment of Lagrangian/Hamiltonian mechanics. Now, I scanned my notes and some crazy idea popped into my head, further fueling my discontent towards this course, because all the problems covered in class were with time-independent masses, even central-force problems.(adsbygoogle = window.adsbygoogle || []).push({});

I picture a planet in its early stages of formation as a central-force system whose mass is time-dependent so that [itex]\dot{m}\neq 0[/itex], orbiting about its star under the effect of a central force. Is the problem actually tractable with Lagrangian/Hamiltonian mechanics (even numerically) or would it require usage of Hamilton-Jacobi or Newtonian mechanics?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lagrangian mechanics and planetary formation

**Physics Forums | Science Articles, Homework Help, Discussion**