Draw a diagram, specify intercepts

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The discussion focuses on drawing a diagram of an orbit defined by the equation r = 2bsin(wt)x̂ + bcos(wt)ŷ and identifying its x and y intercepts. The x intercept is confirmed to be 2b, while the y intercept is b. However, one participant points out that the diagram only represents a single point rather than the entire orbit. The conversation emphasizes the need for a complete representation of the orbit shape, not just the intercepts. A full diagram is essential for understanding the overall trajectory.
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Homework Statement


Draw a diagram of the orbit and specify its x and y intercepts. Describe its shape.

r = 2bsin(wt)x̂ + bcos(wt)ŷ

Homework Equations

The Attempt at a Solution


Heres my picture. Aren't the intercepts just 2b for x and b for y?
 

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Vitani11 said:
Heres my picture. Aren't the intercepts just 2b for x and b for y?
Those certainly are intercepts. Any more?
You have not drawn the orbit, only one point of it.
 
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Okay, I got it. Thanks.
 

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