what is kepler's law? hii ,friends how are you all?
Answers
Answer:
For a more precise historical approach, see in particular the articles Astronomia nova and Epitome Astronomiae Copernicanae.
Figure 1: Illustration of Kepler's three laws with two planetary orbits.
The orbits are ellipses, with focal points F1 and F2 for the first planet and F1 and F3 for the second planet. The Sun is placed in focal point F1.
The two shaded sectors A1 and A2 have the same surface area and the time for planet 1 to cover segment A1 is equal to the time to cover segment A2.
The total orbit times for planet 1 and planet 2 have a ratio {\textstyle \left({\frac {a_{1}}{a_{2}}}\right)^{\frac {3}{2}}}{\textstyle \left({\frac {a_{1}}{a_{2}}}\right)^{\frac {3}{2}}}.
Part of a series on
Astrodynamics
Angular parameters of an elliptical orbit
Orbital mechanics
Orbital parameters[show]
Types of two-body orbits, by
eccentricity[show]
Equations[show]
Celestial mechanics
Gravitational influences[show]
N-body orbits[show]
Engineering and efficiency
Preflight engineering[show]
Efficiency measures[show]
vte
In astronomy, Kepler's laws of planetary motion, published by Johannes Kepler between 1609 and 1619, describe the orbits of planets around the Sun. The laws modified the heliocentric theory of Nicolaus Copernicus, replacing its circular orbits and epicycles with elliptical trajectories, and explaining how planetary velocities vary. The three laws state that:
The orbit of a planet is an ellipse with the Sun at one of the two foci.
A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its orbit.
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. The second law helps to establish that when a planet is closer to the Sun, it travels faster. The third law expresses that the farther a planet is from the Sun, the slower its orbital speed, and vice versa.
Isaac Newton showed in 1687 that relationships like Kepler's would apply in the Solar System to a good approximation, as a consequence of his own laws of motion and law of universal gravitation.
Explanation:
Answer:
Kepler's law
three theorems describing orbital motion. The first law states that planets move in elliptical orbits with the sun at one focus. The second states that the radius vector of a planet sweeps out equal areas in equal times. The third law relates the distances of the planets from the sun to their orbital periods.