Electrons do not orbit the electrons. Not in the conventional sense. This is one of the many lies you have been taught at GCSE and A level. Look up the electron cloud and quantum mechanics.
The best explanation to the best of my feeble understanding to your questions are: In an atom there isn't any air to resist the electron, air resistance is caused by air, which is nitrogen oxygen etc. Most of the atom is just empty space. There isn't a starting force to start the electron up, like a motor or something. The electrons are not orbiting, as said above. Particles behave very strangely at subatomic level, which is where quantum mechanics come in. Forget about the classic Newtonian physics, F =/= ma at this level. You cannot directly observe the electrons, as stated by quantum mechanics, and therefore we estimate where each electron is most likely to be at each point in time and "work out" a path for the electrons. The common(only?) ones are the s, p, d, f. It is very similar to calculus where we take the limit of something without working anything out that is specific. I hope this make sense. Quantum mechanics is similar to calculus, at least in my understanding.