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The figure shows the elliptical orbit of...

The figure shows the elliptical orbit of a planet about the sun S. An ellipse is the curve obtained when a cone is cut by an inclined plane. It has two focal points. The sum of the distances to the two focal points from every point on the curve is constant. `F_1 " and " F_2` are the two focal points of the ellipse . The shaded area `CF_1D` is twice the shaded area `AF_1B. t_1` is the time taken by the planet to move from C to D and `t_2` is the time to move from A to B

Which laws do we understand from the above diagram and description?

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The figure shows the elliptical orbit of a planet about the sun S. An ellipse is the curve obtained when a cone is cut by an inclined plane. It has two focal points. The sum of the distances to the two focal points from every point on the curve is constant. F_1 " and " F_2 are the two focal points of the ellipse . The shaded area CF_1D is twice the shaded area AF_1B. t_1 is the time taken by the planet to move from C to D and t_2 is the time to move from A to B State the law regarding areas swept by the line joining the planet and the sun

The figure shows the elliptical orbit of a planet about the sun S. An ellipse is the curve obtained when a cone is cut by an inclined plane. It has two focal points. The sum of the distances to the two focal points from every point on the curve is constant. F_1 " and " F_2 are the two focal points of the ellipse . The shaded area CF_1D is twice the shaded area AF_1B. t_1 is the time taken by the planet to move from C to D and t_2 is the time to move from A to B State the law regarding the time period of revolution of a planet .

The figure shows elliptical orbit of a planet m about the sun S. the shaded area SCD is twice the shaded area SAB. If t_(1) be the time for the planet to move from C to D and t_(2) is the time to move from A to B, then:

The figure shows elliptical orbit of a plant P about the sun S. The shaded area CSD is twice tha shaded area ASB. If t_(1) is the time taken by the planet to move from C to D and t_(2) is the time to move from A to B, determine the ratio t_(1)//t_(2)

Theorem: The sum of the focal diatances of any point on an ellipse is constant and equal to the length of the major axis of the ellipse.

Figure shows the elipticla path of a planet about the sun. The two shaded parts have equal area. If t_1 and t_2 be the tim taken by the planet to go from a to b and from c to d respectively

Find the sum of the focal distances of any point on the ellipse 9x^(2)+16y^(2)=144

TARGET PUBLICATION-GRAVITATION-ASSESSMENT
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