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 third
law is:
The square of the period of revolution of the planet around the sun is directly proportional to the cube of the mean distance of the planet right from the sun
Kepler's third law of planetary motion states that the square of the orbit time is proportional to the cube of the semi major axis.
Very well, Thank you. Now, how is the third law what, exactly?
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.
Which statement is true of all scientific laws
A statement that matter cannot be created or destroyed.
action
law
It is the third law
this is the statement of newton's third law.
That is basically a popular statement of Newton's Third Law.
Technically it doesn't precisely fit any of them, but to a first approximation it fits not only each of the planets, but every other orbiting body everywhere.
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 known as Keplers 2nd Law of Planetary Motion. It states that line drawn between a planet and the sun sweeps out equal areas during equal time intervals.
Kepler's second law the law of equal areas.
For every action, there is an equal and opposite reaction.
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.
... when it is closest to the Sun. (Kepler's Second Law)... when it is closest to the Sun. (Kepler's Second Law)... when it is closest to the Sun. (Kepler's Second Law)... when it is closest to the Sun. (Kepler's Second Law)