In September 2009, Australian astronomer Robert H. McNaught discovered comet C/2009 R1 (McNaught). The orbit of this comet is hyperbolic with the Sun at one focus. Because the orbit is not elliptical, the comet will not be captured by the Sun's gravitational pull and instead will pass by the Sun only once. The comet reached perihelion on July 2, 2010. (Source: Minor Planet Center, http://minorplanetcenter.net/) The path of the comet can be modeled by the equation (1191.2) (30.9) where x and y are measured in AU (astronomical units). a. Determine the distance (in AU) at perihelion. Round to 1 decimal place. b. Using the rounded value from part (a), if 1 AU = 93,000,000 mi, find the distance in miles. Perihelion distance (0, 0) "Sun

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In September 2009, Australian astronomer Robert H. McNaught discovered comet C/2009 R1 (McNaught). The orbit of this
comet is hyperbolic with the Sun at one focus. Because the orbit is not elliptical, the comet will not be captured by the
Sun's gravitational pull and instead will pass by the Sun only once. The comet reached perihelion on July 2, 2010. (Source:
Minor Planet Center, http://minorplanetcenter.net/)
The path of the comet can be modeled by the equation
(1191.2) (30.9)
where x and y are measured in AU (astronomical units).
a. Determine the distance (in AU) at perihelion. Round to 1 decimal place.
b. Using the rounded value from part (a), if 1 AU = 93,000,000 mi, find the distance in miles.
Perihelion
distance
(0, 0)
"Sun
Transcribed Image Text:In September 2009, Australian astronomer Robert H. McNaught discovered comet C/2009 R1 (McNaught). The orbit of this comet is hyperbolic with the Sun at one focus. Because the orbit is not elliptical, the comet will not be captured by the Sun's gravitational pull and instead will pass by the Sun only once. The comet reached perihelion on July 2, 2010. (Source: Minor Planet Center, http://minorplanetcenter.net/) The path of the comet can be modeled by the equation (1191.2) (30.9) where x and y are measured in AU (astronomical units). a. Determine the distance (in AU) at perihelion. Round to 1 decimal place. b. Using the rounded value from part (a), if 1 AU = 93,000,000 mi, find the distance in miles. Perihelion distance (0, 0) "Sun
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