SOLAR SYSTEM

Detailed explanation-1: -Kepler’s First Law: each planet’s orbit about the Sun is an ellipse. The Sun’s center is always located at one focus of the orbital ellipse. The Sun is at one focus. The planet follows the ellipse in its orbit, meaning that the planet to Sun distance is constantly changing as the planet goes around its orbit.

Detailed explanation-2: -Kepler’s Laws of Planetary Motion In 1605 he announced The First Law: Planets move in ellipses with the Sun at one focus. The figure below illustrates two orbits with the same semi-major axis, focus and orbital period: one a circle with an eccentricity of 0.0; the other an ellipse with an eccentricity of 0.8.

Detailed explanation-3: -All planets move in elliptical orbits, with the sun at one focus. This is one of Kepler’s laws. The elliptical shape of the orbit is a result of the inverse square force of gravity. The eccentricity of the ellipse is greatly exaggerated here.

Detailed explanation-4: -The elliptical orbits of planets were indicated by calculations of the orbit of Mars. From this, Kepler inferred that other bodies in the Solar System, including those farther away from the Sun, also have elliptical orbits.

Detailed explanation-5: -In polar coordinates, the ellipse is r = ℓ 1 + ecos, (2) where ℓ = b2/a. These are related, as usual, by x = r cos and y = r sin. r2 ˙ is the area velocity, namely the area swept by the radius vector of the planet in unit time, we have shown the 2nd law of Kepler.