Solution Found!
(a) If you haven't already done so, do .20. (b) Use
Chapter 8, Problem 8.21(choose chapter or problem)
(a) If you haven't already done so, do 8.20. (b) Use Kepler's third law (8.55) to find the period of this orbit in terms of rmax (and G and Ms). (c) Now consider the extreme case that the comet is released from rest at a distance rmax from the sun. (In this case is actually zero.) Use the technique described in connection with (4.58) to find how long the comet takes to reach the sun. (Take the sun's radius to be zero.) (d) Assuming the comet can somehow pass freely through the sun, describe its overall motion and find its period. (e) Compare your answers in parts (b) and (d).
Questions & Answers
QUESTION:
(a) If you haven't already done so, do 8.20. (b) Use Kepler's third law (8.55) to find the period of this orbit in terms of rmax (and G and Ms). (c) Now consider the extreme case that the comet is released from rest at a distance rmax from the sun. (In this case is actually zero.) Use the technique described in connection with (4.58) to find how long the comet takes to reach the sun. (Take the sun's radius to be zero.) (d) Assuming the comet can somehow pass freely through the sun, describe its overall motion and find its period. (e) Compare your answers in parts (b) and (d).
ANSWER:Step 1 of 7
The perihelion and aphelion, respectively, of the orbit of the comet is given by,
And,
Where 
The equation of length 
Where 
The angular momentum of the comet will be perpendicular to the plane of the orbit of the comet.