Question

A planet moving in an elliptical orbit is closest to the sun at a distance r and farthest away at a distance of r. If v and v are the linear velocities at these points, respectively, for what value of 'e' eccentricity ratio of v and v will be 2?

a. e=0.5
b. e=1
c. e=2
d. e=0

Answer 1

The eccentricity ratio (e) of the linear velocities (v and v) of a planet in an elliptical orbit is equal to 2 when the eccentricity ratio (e) of the orbit is 0.5.

Step-by-step explanation:

The eccentricity ratio (e) of the linear velocities (v and v) of a planet in an elliptical orbit is equal to 2 when the eccentricity ratio (e) of the orbit is 0.5 (a).

The eccentricity of an elliptical orbit is determined by dividing the distance (f) from the center of the ellipse to one of the foci by half the long axis (a). In this case, e = f/a and when e = 0.5, the ratio of v and v will be 2.