Cont. numerical solution to gravity

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The discussion focuses on the numerical solution of orbital mechanics using the Runge-Kutta method in polar coordinates. Participants seek clarification on the appropriate differential equations to model an object's distance and angle over time in an orbit. The conversation hints at the relevance of the two-body problem in this context. Key equations and methods for simulating orbital motion are central to the inquiry. Understanding these equations is crucial for accurate numerical modeling of orbits.
Timothy S
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I believe I am misunderstanding the equations I must use for the Runge Kutta of an orbit in polar coordinates.
What differential equations can i use which will allow me to numerically determine both an object's distance and angle in an orbit, dependent on time?
 
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Are you talking about a two body problem?
 
Hello! Let's say I have a cavity resonant at 10 GHz with a Q factor of 1000. Given the Lorentzian shape of the cavity, I can also drive the cavity at, say 100 MHz. Of course the response will be very very weak, but non-zero given that the Loretzian shape never really reaches zero. I am trying to understand how are the magnetic and electric field distributions of the field at 100 MHz relative to the ones at 10 GHz? In particular, if inside the cavity I have some structure, such as 2 plates...

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