A comet has an elliptical orbit with the sun at one focus and has an eccentricity of es 0.956. The length of the major axis of the orbit is approximately 490 astronomical units. The minimum distance (perihelion) from the sun to the comet is r- a(1 - e) and the maximum distance (aphelion) is r- a(1 + e). (Round your answers to one decimal place.) (a) Find the length of its minor axis. au (b) Find a polar equation for the orbit. r-(1- eja . 1-e cos(e) (c) Find the perihelion and aphelion distances. perihelion au aphelion au

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 53E
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A comet has an elliptical orbit with the sun at one focus and has an eccentricity of e z 0.956. The length of the major axis of the orbit is approximately 490 astronomical units. The minimum distance (perihelion) from the sun to the comet is r = a(1 – e) and the maximum distance (aphelion) is
r = a(1 + e). (Round your answers to one decimal place.)
(a) Find the length of its minor axis.
au
(b) Find a polar equation for the orbit.
(1 - e?)a
r =
1- e cos(e)
(c) Find the perihelion and aphelion distances.
perihelion
au
aphelion
au
Transcribed Image Text:A comet has an elliptical orbit with the sun at one focus and has an eccentricity of e z 0.956. The length of the major axis of the orbit is approximately 490 astronomical units. The minimum distance (perihelion) from the sun to the comet is r = a(1 – e) and the maximum distance (aphelion) is r = a(1 + e). (Round your answers to one decimal place.) (a) Find the length of its minor axis. au (b) Find a polar equation for the orbit. (1 - e?)a r = 1- e cos(e) (c) Find the perihelion and aphelion distances. perihelion au aphelion au
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