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Kepler’s three laws of planetary motion can be stated as follows:
(1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci.
(2) A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time
. (3) The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
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Kepler’s three laws of planetary motion can be stated as follows:
(1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci.
(2) A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time
. (3) The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
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This is one of Kepler's laws.This empirical law discovered by Kepler arises from conservation of angular momentum.
When the planet is closer to the sun, it moves faster, sweeping through a longer path in a given time.
Orbit Eccentricity
The eccentricity of an ellipse can be defined as the ratio of the distance
between the foci to the major axis of the ellipse.
The eccentricity is zero for a circle. Of the planetary orbits, only Pluto has a large eccentricity.
Kepler's Law of Periods in the above form is an approximation that serves well for the orbits of the planets because the Sun's mass is so dominant. But more precisely the law should be written
In this more rigorous form it is useful for calculation of the orbital period of moons or other binary orbits like those of binary stars.
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