Recent content by jsandberg
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Deriving Gauss' Variational Equation for True Anomaly
Thanks for all your help! Much appreciated.- jsandberg
- Post #7
- Forum: Engineering and Comp Sci Homework Help
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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"?- jsandberg
- Post #5
- Forum: Engineering and Comp Sci Homework Help
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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.- jsandberg
- Post #3
- Forum: Engineering and Comp Sci Homework Help
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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...- jsandberg
- Thread
- Anomaly deriving Gauss
- Replies: 6
- Forum: Engineering and Comp Sci Homework Help
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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?- jsandberg
- Post #5
- Forum: Engineering and Comp Sci Homework Help
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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...- jsandberg
- Post #3
- Forum: Engineering and Comp Sci Homework Help
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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...- jsandberg
- Thread
- Celestial mechanics Elements Mechanics Orbital
- Replies: 5
- Forum: Engineering and Comp Sci Homework Help