Examples of Polar EquationsPerihelion and aphelion A
Chapter 11, Problem 75E(choose chapter or problem)
Problem 75E
Examples of Polar Equations
Perihelion and aphelion A planet travels about its sun in an ellipse whose semimajor axis has length a. (See accompanying figure.)
a. Show that r = a(1 – e) when the planet is closest to the sun and that r = a(1 + e) when the planet is farthest from the sun.
b. Use the data in the table in Exercise 76 to find how close each planet in our solar system comes to the sun and how far away each planet gets from the sun.
Reference:Table in Exercise 76
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