Nabil is writing a science fiction novel that takes place in another galaxy. In her galaxy, all the planets travel in an elliptical orbit around their star. The majority of the plot of Nabil's story takes place on the planet Tanus which orbits a star named Ini. The length of Tanus' major axis is 150 million miles and the length of its minor axis is 75 million miles. The star Ini is located at a focus of the elliptical orbit. Use what you know about writing and graphing the equations of ellipses to answer the questions below.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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#6=After Nabil finished and published her story, she was invited to a writing conference where she will give a presentation about her writing process. As part of her presentation, she wants to build a working model that shows Tanus and its orbit around Ini. On Nabil’s model, 1 inch is equivalent to 15 million miles. Write an equation that represents the orbit of Tanus around Ini on this model, given that the ellipse is centered at the origin. Give the locations of the foci. Explain how you derived your equation. 

 

Nabil is writing a science fiction novel that takes place in another
galaxy. In her galaxy, all the planets travel in an elliptical orbit
around their star. The majority of the plot of Nabil's story takes
place on the planet Tanus which orbits a star named Ini. The
length of Tanus' major axis is 150 million miles and the length of
its minor axis is 75 million miles. The star Ini is located at a
focus of the elliptical orbit.
Use what you know about writing and graphing the equations of ellipses to answer the questions
below.
Transcribed Image Text:Nabil is writing a science fiction novel that takes place in another galaxy. In her galaxy, all the planets travel in an elliptical orbit around their star. The majority of the plot of Nabil's story takes place on the planet Tanus which orbits a star named Ini. The length of Tanus' major axis is 150 million miles and the length of its minor axis is 75 million miles. The star Ini is located at a focus of the elliptical orbit. Use what you know about writing and graphing the equations of ellipses to answer the questions below.
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