Recent content by jsandberg

  1. J

    Deriving Gauss' Variational Equation for True Anomaly

    Thanks for all your help! Much appreciated.
  2. J

    Deriving Gauss' Variational Equation for True Anomaly

    Yes, that is where my problem is. Do I substitute the equation for "r" every time I see an "r"?
  3. J

    Deriving Gauss' Variational Equation for True Anomaly

    Thank you for your quick response! Yes, changing the radius and velocity components helped a lot. I am still having trouble simplifyin the equation, however (see attached). Thanks again for your time.
  4. J

    Deriving Gauss' Variational Equation for True Anomaly

    Homework Statement Derive the Gauss Variational differential equation for the true anomaly, f, with respect to time using components along the radius, angular velocity, and a unit vector orthogonal to those two (ir,itheta,ih). Homework Equations Sorry, I don't know how to use Latex. But...
  5. J

    Why Don't Cowell's and Gauss' Methods Match for Osculating Orbital Elements?

    Thank you! To calculate the orbial elements, I need norm(r), which means I need the position vector. How do I calculate this if I'm not integrating the position?
  6. J

    Why Don't Cowell's and Gauss' Methods Match for Osculating Orbital Elements?

    Yes! I am so sorry, I have never posted on a forum before and don't know how it works. Let me try to summarize. I am to find the time-varying elements (a,e,i,w,Omega,f) over 20 orbital periods for a satellite orbiting the earth. The equations are given on page 488 of this textbook...
  7. J

    Why Don't Cowell's and Gauss' Methods Match for Osculating Orbital Elements?

    Homework Statement The orbital elements (a,e,i,w,Omega,f) are to be integrated forward in time using two methods: 1) Cowell's method, which is direct interation, and 2) Gauss' Variational diffeential equations. The full assignment description, initial conditions, and my code are given in the...
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