I have studied neither yet but I need to get round to that. Thanks for the equations they will be useful. Do you have any recommendations for textbooks on the above mentioned mechanics?

I'm happy to see that those relationship were what you had in mind!

The textbooks below are all very good and can be downloaded from the internet at the URLs I gave below the title for free. I'm sure you'll enjoy them. As always, I'm at your disposal. :)

The term

*Analytical Mechanics* refers to the mechanics of Lagrangian and Hamiltonian Mechanics. See:

http://en.wikipedia.org/wiki/Analytical_mechanicsOne typically uses Variational principles in working with these areas of classical mechanics.

The

**Variational Principles of Mechanics** by Cornelius Lanczos (1970) is famous for this branch of mechanics. It's quite well-known.

**Newtonian Mechanics** by A.P. French (1971) [Does not contain Analytical Mechanics]

http://bookzz.org/book/2033048/f8d850**An Introduction to Mechanics** by Daniel Kleppner & Robert J. Kolenkow (1973) [Does not contain Analytical Mechanics]

(Not available online)

**Classical Mechanics** by John R. Taylor (2005)

http://bookzz.org/book/911552/c4bf66**Classical Dynamics of Particles and Systems** by Marion and Thornton (2004)

http://bookzz.org/book/556792/ca7948**Solved Problems in Classical Mechanics; Analytical and numerical solutions with comments** by O.L De Lange & J. Pierrus (2010)

Classical Mechanics by Haret C. Rosu

http://arxiv.org/abs/physics/9909035