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Kepler's 3rd law says that the orbital period is proportional to the 3/2 power of the average distance from the Sun. However Kepler did not know the distances to the planets when his laws were discovered. He was able to calculate the the relative distances by using geometry.
In Kepler's model the inner planets stay close to the Sun in the sky and have a maximum 'elongation' from it. Kepler was able to use these measurements to deduce by geometry what the sizes of the orbits of Mercury and Venus were, relative to the size of the Earth's orbit.
The outer planets all show retrograde motion around the time of opposition, as the Earth overtakes the planet. By knowing the amount of retrograde motion measured by Tycho, Kepler was able to deduce by geometry the sizes of the orbits of Mars, Jupiter and Saturn, relative to the size of the Earth's orbit.
The true scale of the planets' orbits was discovered in the 18th century through observations of transits of Venus.
What else can I help you with?
Is the semi-major axis concept an important part of Third Law of Motion?
Yes, in Kepler's Third Law, it is used to calculate the periods of planets.Yes, in Kepler's Third Law, it is used to calculate the periods of planets.Yes, in Kepler's Third Law, it is used to calculate the periods of planets.Yes, in Kepler's Third Law, it is used to calculate the periods of planets.
How can one derive Kepler's third law?
Kepler's third 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 law can be derived using Newton's law of universal gravitation and Kepler's second law of planetary motion. By equating the gravitational force between a planet and the sun to the centripetal force required to keep the planet in orbit, one can derive Kepler's third law.
What did Kepler formulate?
His laws of planetary motion.
What is the application of Kepler's third law in the study of binary stars?
Kepler's third law is used in the study of binary stars to determine the masses of the stars based on their orbital periods. By observing the motion of the stars in their orbits, scientists can apply Kepler's third law to calculate the masses of the stars and understand their gravitational interactions.
What is Newton's derivation of Kepler's third law an example of?
Newton's derivation of Kepler's third law is an example of how theoretical physics can be used to explain and validate empirical observations. By applying his law of universal gravitation to Kepler's laws of planetary motion, Newton was able to mathematically derive Kepler's third law, providing a more fundamental understanding of the relationship between a planet's orbital period and its distance from the sun.
How do the planets periods relate to their distances from the sun?
The relationship is described by Kepler's Third Law.
What are the comparisons of the revolution times of planets and can you relate them to distance from the sun.?
The relationship is given by Kepler's Third Law.
Who formulate the law of conservation of energy and when it as formulate?
Lavoisier
Which of Keplers laws is also known as the Harmonic Law?
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.
How do you think the period of a planet will change as its distance from the sun increases?
The period will increase. The relationship is given by Kepler's Third Law.
What law states that Saturn's inner rings must move faster than the outer rings?
That's one of Kepler's Laws. It's his Third Law.
Which statement correctly states Keplers Third Law of Planetary Motion?
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.
