Recent content by MCarroll

  1. M

    Help with a thought experiment.

    thanks, I got some help with that on a different forum. There turns out to be some good articles on the web.
  2. M

    Deriving the Gravitational Jerk Equation and Solving for Time and Position

    EDIT/ here is what I have s = s(o) - (at^2)/2 where v(0) = 0 and movement is in the negative direction with respect to scalar s(o). 2*(s_{0}-s) = - at^{2} or 2*(s_{0}-s) = at^{2} \sqrt{2*(s_{0}-s)} = t * \sqrt{a} t = \sqrt{2*(s_{0}-s)/a} but a = - Gm/(s^2), so t =...
  3. M

    Deriving the Gravitational Jerk Equation and Solving for Time and Position

    I got some help on the Math forum so I think I am ok but I was not aware of the resolvant quadratic necessary to solve the cubic of s that results from squaring both sides. I should have mentioned my limited math ability in the first place. I'll show my derivation of t = f(s) when I have...
  4. M

    Need a strategy for inverting a function

    Thanks, and genneth I'm not one to talk! Shooting Star, It looks from the page you sent that the general form is: y = 3f/[-e+(e3-27f2)1/3], y = 3f/[-e+(e3-27f2)1/3(-1+sqrt[-3])/2], y = 3f/[-e+(e3-27f2)1/3(-1-sqrt[-3])/2]. so only the first of these avoids i, right?
  5. M

    Need a strategy for inverting a function

    I can't solve for y from: x = - K_{1}* y *\sqrt{K_{2}-y} where K(1) and K(2) are constants. I am pretty sure as a younger man I was taught how to do this but I can't remember the strategies I can/should use. Any thougths would be very appreciated.
  6. M

    Help with a thought experiment.

    Thanks pervect and genneth for your responses. Pervect, the link you gave had interesting stuff on it but I am not ready to start thinking about orbits yet. I want to focus on the warp in a one dimensional gravitational system then map the lorentz effects of shifting the frame of...
  7. M

    Deriving the Gravitational Jerk Equation and Solving for Time and Position

    Is anyone aware of a function expressesing position (separation) in terms of time, s=f(x), given only acceleration due to the force of gravity. I am aware of the Gravitational Jerk Equation J= \frac{2Gm}{s^{3}} \frac{ds}{dt} where m=mass of attracting object G = gravitational constant But...
  8. M

    Help with a thought experiment.

    Yeah, that is exactly what I want. Essentially I want to compare the results I get being on one object with the results I get at different distances from the collision point on a line perpendicular to the line of motion. The PROBLEM I have is that I can't plot Jerk against time or find the...
  9. M

    Help with a thought experiment.

    I was working on a thought experiment to help myself understand the curvature of space when I got stuck on something (I hope) is simple. I realize this might be a basic problem but I was hoping to generate some discussion. The experiment involves a "universe" two neutrally charged masses of...
Back
Top