Problem related to orbital motion of dipole

[Arthur]

Please help me in this problem. Is there a way to solve this without Lagrangian? Please explain.

Thank you!

[Alisher (Alisher Yerkebayev)]

@Arthur

without Lagrangian?

What’s wrong with Lagrangian?

[Arthur]

I mean, there’s nothing particularly wrong with it… but it would have been nice to know an alternate method.

[Alisher (Alisher Yerkebayev)]

Solving the second part is pretty easy with the use of energy, so using forces is too time-consuming imo

[Arthur]

Oh, yeah… I’ll stick with Lagrangian then…