What are Kepler’s laws of gravitation?

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Newton’s equations were graphed as ellipses. But he mentioned that the earth’s orbit around the sun is circular. Although his formula gives a justification for the ellipse. Referring to this limitation, scientist Kepler gave a total of three formulas including two more including the concept of ellipse. Which is as follows:

Kepler’s law of ellipses

The earth does not revolve around the sun in a circular but in an elliptical orbit. If we were talking about the circular path, we could safely say that the Sun is at the center of this circular orbit. But since the elliptical orbit has been talked about, the question remains, where is the sun in this ellipse? In response to such a question, Kepler pointed out, “The Earth moves in a definite elliptical orbit with the Sun at its focus.”

After the formula of elliptical orbit, the question remains, then what will be the velocity of the planet in this elliptical orbit? His second formula answers this question.

Kepler’s Law of Area

Consider that at any moment the planet is at one point and in 5 days it has moved to another point. Again at any moment it was at one point and in 5 days it moved to another point. The velocity of the planet will be such that, in both cases, the area of the line connecting the planet and the sun is equal because the time was equal in this case. As you can see, when the planet is close to the sun, this velocity will be higher and when it is far away, its velocity will be lower.

Then the formula stands, “The radius connecting the planet and the sun will produce equal areas in equal time.

Now the question remains, then What will be the period of the planet? That is, how many days will be a year? The answer to this question can be found in Kepler’s third law. Which is known as the periodic formula.

Kepler’s Law Time Period

The line along the two circumferences of the ellipse is called the hypotenuse of the ellipse. Now if the planet is related to period.