the diagram below represents the orbits of earth, comet temple-tuttle, and planet x, another planet in out solar system. arrows on each orbit represent the direction of movement. which objects orbit would have and eccentricity close to 1?

the most elliptical orbit is that of COMETA

Explanation:

The eccentricity of a curve in defined as the ratio between lacia to the focus, called c and the value of the axis greater than

         ε = c / a

if we use Pythagoras' theorem

         c =

   substituting

           ε =

if   ε = 0 we have a circumference

In the diagram presented the orbit of the comet is an ellipse a> b

          ε=

if we expand in series

             ε = 1 - x/2  

             ε=  

if we neglect the non-linear terms

            ε = 1

Earth's orbit is a small ellipse

             b / a = 149 10⁶ / 151 10⁶

             b / a = 0.98675

             ε =

               ε = 0.16

a very small ellipse

Planet X, despite not having data, it seems that the sun is in the scepter of the orbit, so b = a

therefore  both the semi-axes of the curve

        e = a / b

Consequently, the most elliptical orbit is that of COMETA.