The orbit of a planet around a star is described by 1+e '1+ ecos(0)' where is...

 

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The orbit of a planet around a star is described by 1+e '1+ ecos(0)' where is an angle and e << 1 is the eccentricity. r(0) To: Sketch the orbit and indicate the perihelion and aphelion. Express the perihelion and aphelion in terms of ro and e. The radial speed is given by v, r. Using the expression for r(0), the conservation of h = r²0, and the chain rule, show that it can be written as h e sin(0) To 1+e Using the above expression, determine where the radial speed vanishes. Indicate these points on the orbit. The orbit of a planet around a star is described by 1+e '1+ ecos(0)' where is an angle and e << 1 is the eccentricity. r(0) To: Sketch the orbit and indicate the perihelion and aphelion. Express the perihelion and aphelion in terms of ro and e. The radial speed is given by v, r. Using the expression for r(0), the conservation of h = r²0, and the chain rule, show that it can be written as h e sin(0) To 1+e Using the above expression, determine where the radial speed vanishes. Indicate these points on the orbit.

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