Recent content by DJSedna

Yeah, I meant to write ## dt ##, my bad. For the time of one orbit, you'd want to integrate from 0 to ##P##? Am I intended to use an equation for ##P## as my upper-bound of integration?

I'd do something like $$ \frac{1}{t - 0} \int_{0}^{t} r(t) dr$$ But I don't know how to get an ##r(t)## with what I have right now.

I'm sorry, I guess I'm not fully picking up on what you're saying. How am I setting up a time integral with nothing that has time in it?

Okay, is this what you're talking about? It does look vaguely familiar. http://tutorial.math.lamar.edu/Classes/CalcI/AvgFcnValue.aspx One thing, though---there's no time in the equations above. I might be too burnt out from a week of intense finals and missing something.

Thanks! Allegedly we have all of the information needed in those three equations, and does Kepler's Second Law have an actual mathematical form? If it does, I've gone through four years of undergrad, a year of research, and a year of grad school with misinformation, haha. For such an integral...

Homework Statement Using the polar formula for an ellipse, and Kepler's second law, find the time-weighted average distance in an elliptical orbit. Homework Equations The polar formula for an ellipse: $$r = \frac { a(1-e^2)} {1 \pm e cos \theta},$$ Area of an ellipse: $$ A = \pi a b $$...

I figured instead of putting this question into a new thread, I'd simply necro this one. I'm currently stuck on this problem staring at a blank page. I understand that the De Broglie Wavelength formula is necessary here as well as the Ideal Gas Law, but I must be missing something. Can anyone...