How Can MATLAB Implement the Leapfrog Method for Satellite Motion Simulation?

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ernal
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Using Matlab to solve for the satellite motion in a central gravitational field

F=-GmM r/r2.

Motion is in a plane.Variables are position(x,y),velocity(vx,vy) and accelration (ax,ay).

Apply the leapfrog method.I need the theoretical solution alone to input into Matlab.

Thanks.
 
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What is your question?

What is the leapfrog method? Does this have another name... I've never heard of it.

-Kerry