Recent content by Halleluwah

Homework Statement Plane harmonic waves of 1/p, 1/q, 1/r and 1/s are travelling, respectively, in the directions of the (non-unit) vectors (1,1,1), (1,-1,-1), (-1,1,-1) and (-1,-1,1). Show that there exists an inertial coordinate system in which they have the same frequency if and only if...

So my solution is cheating really, as it assumes that the perigee does not change. The answer given is that \delta a = -2(I/m) \sqrt{(1+e)a^3/GM(1-e)} Any hints?

So I've I think I found the relation which I will post. We have a (1-e^2) = l so \delta a (1-e^2) -2ea \delta e = \delta l . Also since b = a(1-e) , we have 0 = \delta a (1-e) -a \delta e or a \delta e = \delta a (1-e) . Writing the first relation as \delta a (1+e)(1-e) - 2a e \delta a...

Looking at this again, we should have \delta a = \frac{b}{(1-e)^2} \delta e so that b \delta e = \delta l but I'm not sure how to show this.

Homework Statement A satellite moving in a highly elliptical orbit is given a retarded force concentrated at its perigee. This is modeled as an impulse I. By considering changes in energy and angular momentum, find the changes in a (semi major axis) and l (semi latus rectum). Show that \delta...