Kepler's Laws of Planetary Motion:
1] Each planet moves in an elliptical orbit with the sun at one focus
2] The line form the sun to any planet sweeps out equal areas of space in equal time intervals
3] The squares of the times of revolution (days, months or years) of the planets are proportional to the cubes of their average distances from the sun.
Kepler's laws cannot be proven. They are empirical laws not derived from axioms.The answer above is nonsense.Yes Kepler could not prove his laws and had only derived them empirically. But after Newton formulated his Universal law of gravitation, Kepler's laws could and have been proven.The working is quite cumbersome and cannot be repeated in this forum. But if you Google "Keplers Laws Proof" or similar you will find numerous explanations. But be prepared that complete proofs require quite some math skills. To do it rigorously you need Calculus and Vector Algebra.In essence, the first two laws are equivalent to the law of conservation of Angular Momentum (which is the cross product of the position and velocity vectors). The third law calculates the orbital period as a function of semi-major axis of the ellipse and the central mass, basically defining elliptic motion.It is amazing that Kepler was able to formulate these laws empirically (mainly by studying the motion of Mars) without having the physics and mathematics he would have needed, at his disposal.
Scientific law
A statement that matter cannot be created or destroyed.
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Kepler's Third Law, also known as the Harmonic Law, states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.
this is the statement of newton's third law.
An orbit with a large semimajor axis will have the longest period according to Kepler's third law. This means that an orbit with the greatest average distance from the central body will have the longest period.
The law of syllogism is a logical rule that lets you draw a conclusion from two conditional statements. If the first statement leads to the second statement and the second statement leads to a third statement, you can infer that the first statement leads to the third statement. It's a way to combine multiple conditional statements to draw a single conclusion.
This is Newton's third law of motion. It states that for every action force there is an equal and opposite reaction force.
For every action, there is an equal and opposite reaction.
Newton's version of Kepler's Third Law states that the square of the period of revolution of a planet around the Sun is directly proportional to the cube of its average distance from the Sun. It can be expressed mathematically as T^2 ∝ r^3, where T is the period and r is the average distance.
Newton derived Keplars findings from Newton's Theory of Gravity. Thus, newton 'explained' the basis for Keplars findings and extended them.
Kepler's first law says Neptune has an elliptical orbit with the Sun at one focus. The same goes for the other planets.
Kepler's laws cannot be proven. They are empirical laws not derived from axioms.The answer above is nonsense.Yes Kepler could not prove his laws and had only derived them empirically. But after Newton formulated his Universal law of gravitation, Kepler's laws could and have been proven.The working is quite cumbersome and cannot be repeated in this forum. But if you Google "Keplers Laws Proof" or similar you will find numerous explanations. But be prepared that complete proofs require quite some math skills. To do it rigorously you need Calculus and Vector Algebra.In essence, the first two laws are equivalent to the law of conservation of Angular Momentum (which is the cross product of the position and velocity vectors). The third law calculates the orbital period as a function of semi-major axis of the ellipse and the central mass, basically defining elliptic motion.It is amazing that Kepler was able to formulate these laws empirically (mainly by studying the motion of Mars) without having the physics and mathematics he would have needed, at his disposal.
Kepler's law that describes how fast planets travel at different points in their orbits is called the Law of Equal Areas. This law states that a planet will travel faster when it is closer to the Sun and slower when it is farther away, so that the area it sweeps out in a given time is the same regardless of its distance from the Sun.
Yes, Kepler's third law applies to all the planets in our solar system. It states that the square of a planet's orbital period is proportional to the cube of its semi-major axis. This relationship holds true for all the planets, with each planet's orbital period and distance from the Sun following this law.