Julio is 36 years old, and James is 11 years old. In how many years will Julio’s age be twice a many as James’s age?
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Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then
Add these two equations:
and subtract first equation from the second:
Note that thus
The equation for the planet's orbit is
<span>Perpendicular bisector is a<span> line which cuts a line segment into two equal parts at 90° </span>⇒
MN ⊥ BC
BM = CM</span>
MN ⊥ BC
BM = CM</span>