Concept explainers
To calculate: The equation that represent the orbit.
Answer to Problem 56E
The equation that represent the orbit is
Explanation of Solution
Given information:
The eccentricity of orbit is approximately
Formula used:
The equation of ellipse whose major axis is x -axis is
Calculation:
Consider the provided information that eccentricity of orbit is approximately
Recall that the equation of ellipse whose major axis is x -axis is
Here center is origin so
It is provided that eccentricity is
Next the length of major axis
So,
Use the relation
Substitute a as
Thus, the equation that represent the orbit is
To graph: The equation
Explanation of Solution
Given information:
The equation of a conic
Graph:
The graph of the conic
Interpretation:
The graph represents an ellipse with center at origin and major axis as x -axis.
To calculate: The greatest (aphelion) and least (perihelion) distances from the sun’s center to the comet’s center.
Answer to Problem 56E
The aphelion is
Explanation of Solution
Given information:
The eccentricity of orbit is approximately
Formula used:
The equation of ellipse whose major axis is x -axis is
Calculation:
Consider the provided information that eccentricity of orbit is approximately
Recall that the equation of ellipse whose major axis is x -axis is
Here center is origin so
It is provided that eccentricity is
Next the length of major axis
So,
The greatest (aphelion) distance from the sun’s center to comet’s center is,
The least (perihelion) distance from the sun’s center to comet’s center is,
Thus, the aphelion is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- 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