Good day,
the problem is this : The distance of Jupiter from the sun ranges from 741 million km to 816 million km. Find the equation of its elliptical orbit where the sun is one of the foci. Assume again that the center is the origin and its major axis is the x axis. Im having trouble in answering this one and I dont know if I should add then to get the major axis. Please help.
The given values are positions of apogee,perigee thus its closest ,farthest at those value so $a-ae=741,a+ae=816$ from them you get value of $e,a $ also we know that $e=\sqrt {1-\frac {b^2}{a^2}} $ from this you get $b$ and as its centre is at origin so you get the standard equation of the ellipse.