This is basically what the question is asking
Lets say the sun is located at the focus of the left side of the image
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So the distance between the perihelion and aphelion should be 46 + 70 = 116 million miles??
I haven't learned much in calculus yet this is as much as I can give you
2)
We can try to find the distance of the perihelion to the center of the ellipse.
116 / 2 = 58 million miles
58 - 46 (distance from perhelion to sun) = 12 million miles between sun and center of ellipse
Not sure about my answers never learned calculus
im sorry to trouble you i have one more question.
im not sure how to set this up
"Write the equation of the elliptical orbit of Mercury, where the major axis runs horizontally. Allow a and b to be measured in millions of miles. Use the origin as the center of the ellipse."
Do you know how to write ellipse equations?
Standard form \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
With \(a>b\).
The value of A I think is just the distance of the origin to the endpoint of the horizontal axis
The value of B is the distance from the origin to the endpoint of the vertical axis.