Concept explainers
To determine the distance between Pluto and the sun at perihelion and at aphelion.
Answer to Problem 52E
The distance between Pluto and the sun at perihelion is
Explanation of Solution
Given information:
The eccentricity of Pluto’s orbit is
The length of the minor axis is approximately is
Formula used:
The following formulas are used:
Calculation:
The sun lies in the foci as shown:
The value of
The eccentricity is
Let
Now, according to the question:
The value of
The value of
The distance at perihelion can be calculated by:
The distance at aphelion can be calculated by;
Hence, the distance between Pluto and the sun at perihelion is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning