Concept explainers
To find:
The polar equation for the orbit and also find the closeness of the comet to the sun.
Answer to Problem 103CR
The polar equation for the orbit is
Explanation of Solution
Given information:
A comet has an elliptical orbit around the sun with an eccentricity of
The length of the major axis of the orbit is approximately 20 astronomical units.
Calculation:
By the use of vertical major axis, choose an equation of the form,
Because the vertices of the ellipse occurs at
As the length of major axis is 20 astronomical units. So,
Hence,
Now, the value of
Use this value of
Here,
To find the closest point to the sun, substitute
Therefore, the polar equation for the orbit is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning