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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 did newtons work on orbits add to work Kepler had done?
Newton derived Keplars findings from Newton's Theory of Gravity. Thus, newton 'explained' the basis for Keplars findings and extended them.
Does the orbit time of planets increase or decrease as the distance from the sun increases?
The orbit time of planets increases as the distance from the sun increases. This relationship is described by Kepler's third law of planetary motion, which states that the square of a planet's orbital period is proportional to the cube of its average distance from the sun.
What was keplers theory?
He was the first person to suggest that the planets don't move in circles and the planets don't always move at the same speed all the time. He and Isaac Newton made more accurate predictions than the other scientists e.g. Artistotle, Ptolemy, Copernicus, Tycho Brahe.
Why does it take longer for the planets farther from the sun to revolve around the sun?
Planets farther from the sun have larger orbits, which means they have to travel a greater distance to complete one revolution around the sun. This larger distance results in a longer orbital period compared to planets closer to the sun. It follows Kepler's third law of planetary motion, which states that the square of a planet's orbital period is proportional to the cube of its average distance from the sun.
Does Keplers third law fit each of the planets?
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.
What do the length of the planets year and its distance from the sun have in common?
There is a relationship between the planets distance from the sun and the time taken for one orbit (planets year), described in Keplers third law. The square root of the time taken to orbit the sun is proportional to the cube of the average distance between the sun.
According to Kepler's third law what is the square of the planets period in years?
According to Kepler's third law, the square of a planet's orbital period (T) in years is directly proportional to the cube of the semi-major axis (a) of its orbit in astronomical units (AU). Mathematically, this is expressed as (T^2 \propto a^3). In simpler terms, if you know the semi-major axis of a planet's orbit, you can determine its orbital period by taking the cube root of the semi-major axis and squaring it. This law highlights the relationship between the distance of planets from the Sun and their orbital periods.
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.
What is newtons version of Keplers 3rd law?
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.
What is the keplers theory?
Kepler's Laws of Planetary Motion, published in 1609 and 1619:Theorbitof everyplanetis anellipsewith the Sun at one of the twofoci.Alinejoining a planet and the Sun sweeps out equalareasduring equal intervals of time (otherwise known as Conservation of Angular Momentum).Thesquareof theorbital periodof a planet is directlyproportionalto thecubeof thesemi-major axisof its orbit.
What were Keplers laws of?
Kepler's Laws of Planetary Motion:1] Each planet moves in an elliptical orbit with the sun at one focus2] The line form the sun to any planet sweeps out equal areas of space in equal time intervals3] 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.
Why do planets differ in their orbital speed?
Because according to Kepler's laws the orbital speed of a planet is proportional to the square root of the reciprocal of the distance: v = d-½.
How did newtons work on orbits add to work Kepler had done?
Newton derived Keplars findings from Newton's Theory of Gravity. Thus, newton 'explained' the basis for Keplars findings and extended them.
Does the orbit time of planets increase or decrease as the distance from the sun increases?
The orbit time of planets increases as the distance from the sun increases. This relationship is described by Kepler's third law of planetary motion, which states that the square of a planet's orbital period is proportional to the cube of its average distance from the sun.
According to Newton what force held the planets in orbit?
According to Newton's law of universal gravitation, the force that held planets in orbit around the sun is the gravitational force. This force is proportional to the mass of the objects and inversely proportional to the square of the distance between them.
What was keplers theory?
He was the first person to suggest that the planets don't move in circles and the planets don't always move at the same speed all the time. He and Isaac Newton made more accurate predictions than the other scientists e.g. Artistotle, Ptolemy, Copernicus, Tycho Brahe.
