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This is the formula to calculate orbit eccentricity

e = SQRT[1+2E(h^2)/M^2]

where

E(total energy) = v^2/2 - M/r

h = r*v(t)is angular momentum

v(t)= tangential component of the velocity

v = velocity vector

r = radial distance from center of mass

If i want calculate the eccentricity of Earth in its rotation around the Sun i have to use this formula.

I already know this value e = 0.017

whereby

e = SQRT[1+2E(h^2)/M^2] = 0.017

My problem is that i'm not able to do these calculations...

May be you can help me showing for extended calculations.

Marianna

I don't answer homework questions, but here you don't even have the right equations. Your units in your formula for total energy don't make any sense at all and aren't even compatible. Your angular momentum formula doesn't have a mass in it. There's a wikipedia article that can lead you to correct equations for orbital eccentricity, I suggest you start there: https://en.wikipedia.org/wiki/Orbital_eccentricity

Physics

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I was a physics professor at the University of Texas of the Permian Basin, research in nuclear technology and nuclear astrophysics. My travelling science show saw over 20,000 students of all ages. I taught physics, nuclear chemistry, radiation safety, vacuum technology, and answer tons of questions as I tour schools encouraging students to consider careers in science. I moved on to a non-academic job with more research just recently.**Education/Credentials**

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