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
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.
Write an equation that models the movement of Tanus around its star. Explain how you
determined your equation and show your work
. Create a graph of Tanus’ movement around Ini using your equation from question 1. Label
your graph with the position of the star and the planet.
Suppose that Nabil would like to create a model that shows the path of Tanus’ orbit around
Ini. For ease of programming, Nabil would like Ini to be located at the coordinates (0, 0). Write
an equation that models the movement of Tanus around Ini, where Ini is located at (0, 0). Explain
the changes to your equation.
Create a labeled graph of your equation from question 3. Be sure to include the locations of Ini
and Tanus.
Use the properties of an ellipse to show that your equation from question 3 has the appropriate
foci.
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.
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