Hyperbola - I think....

*To*: mathgroup at smc.vnet.net*Subject*: [mg5550] Hyperbola - I think....*From*: "J. Matthew Nyman" <timeflux at concentric.net>*Date*: Thu, 19 Dec 1996 01:02:40 -0500*Organization*: Advanced Studies Group*Sender*: owner-wri-mathgroup at wolfram.com

Okay, I have an equation for a sphere as follows: r_s(t) = (x - x_s(t)^2 + y^2 + z^2)^1/2 This sphere has a radius of R. The center of the sphere is (x_s(t),0,0) and r_s(t) is supposed to give the distance between some points (x,y,z) and the center. But r_s is part of a function, as follows: f(r_s) = tanh(S(r_s + R) - tanh(S(r_s - R) / 2 tanh (SR) The S, R, and r_S can be arbitrary values that I calculate out. I think the "tanh's" mean that I end up with a hyperbola. What I want to know is, given this information, does anyone know how I can plot out a hyperbola on Mathematica. For simplicity sake, say S = 8, R = 1000, r_s = 20. Is there even enough information there to do it? This is for a physics class, in case anyone was wondering.