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Lagrange's planetary equations


Bjarne

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Let's say that a space probe orbiting the Sun in an elliptical orbit would emit heat towards the motion direction., and hence causing resistance against motion.

Let's say it would happen exactly half of its orbit, - and that the motion resistanceis 1E-9 m/s.

The other half of the orbit the heat escape would be turned to acceleration instead, also 1E-9 m/s.

 

I believe this would cause the space prove to get its own perihelion precession anomaly.

I know I must use Lagrange's planetary equations, but this is above my head.

 

How can such be calculated?

(Thisis not homework)

Edited by Bjarne
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I am Bjarne from Denmark.

 

I hope to be able to find a specialist in Lagrange'splanetary equations.

 

The reason is that I for several years have been researching gravity anomalies.

 

But I am not a good mathematician, - and now I need to have a mathematical job done.

 

I am willing to reward some hours help.

 

Attached file

Paper ed.pdf

Edited by Bjarne
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