Recent content by Mattew

Thanks, I was looking for a way to do it without introduncing x,y,z at all. I actually need to express it in a proof by means of the spherical angles and magnitude, but I need no computations...only the relative velocity as a function of the original spherical angles of v1 and v2 (let's immagine...

Let me see if I get it: in this coordinate system the location of a point p in the sphere is defined by a triple (r,teta,phi), where r is the distance of the point from the origin, teta is the angle between the vector connecting p to the origin and the z-axis, and phi is the angle between the...

Hi everybody, I have a quite simple question (in my opinion) but my background is quite poor about three dimensions physics. I need to express two velocity vectors, v1 and v2, in three dimensions polar coordinates, which means using polar and azimuthal angles. The two polar angles represent...

To explain you you why I'll start from beginning: I have a 2D framework representing a Boolean Model distributed class of sensors and a a moving target, in which sensors choose their directions following a uniform distribution in [0,2pi] and so the target does...this means that we can compute...

Well, that's mainly what I'm concerned about: if if you think about it geometrically, the spherical space around p (the origin of our coordinate system) is divided into cones with vertex in P, with the solid angle of the cone determining a direction, then passing to the limit (-> infinity) you...

I've already posted this question in the math section, but since I got no reply I'll try it here (sorry for the cross-posting). I'm using solid angles to define directions of objects moving from the centre of the sphere towards all points in the space around, which means I divides the (4pi)...