what specific kepler's law is being represented in graph a course hero

by Samantha Frami 7 min read

What is Kepler's Three Laws?

Kepler's first law is rather simple - all planets orbit the sun in a path that resembles an ellipse, with the sun being located at one of the foci of that ellipse. The Law of Equal Areas Kepler's second law - sometimes referred to as the law of equal areas - describes the speed at which any given planet will move while orbiting the sun.

What is Kepler’s second law of motion?

Jun 26, 2008 · Kepler's three laws describe how planetary bodies orbit the Sun. They describe how (1) planets move in elliptical orbits with the Sun as a focus, (2) a planet covers the same area of space in the same amount of time no matter where it is in its orbit, and (3) a planet’s orbital period is proportional to the size of its orbit (its semi-major axis).

Is Newton's law of gravitation related to Kepler's law of harmonies?

The graph below display’s Kepler’s 3 rd law of planetary motion. If you were to see a graph that continued further into the solar system, you would expect that that Jupiter’s orbital period squared (the time it takes to revolve around the sun) to be: A. greater than 3.5 B. less than 3.5 C. equal to 3.5 __ 11. The dwarf planet Pluto is 39 ...

How did Kepler summarize the data of his mentor-Brahe?

Feb 05, 2017 · Kepler’s Third Law The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. where P = period and a = radius of orbit Sometimes referred to as the law of harmonies, Kepler’s third law compares the orbital period (P) and radius of orbit (a) of a planet to those of other planets.

What are Kepler's laws of motion?

Kepler's three laws of planetary motion can be described as follows: 1 The path of the planets about the sun is elliptical in shape, with the center of the sun being located at one focus. (The Law of Ellipses) 2 An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. (The Law of Equal Areas) 3 The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. (The Law of Harmonies)

What is the law of elliptical orbits?

(The Law of Ellipses) An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time.

What is the law of ellipses?

The Law of Ellipses. Kepler's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path described as an ellipse. An ellipse can easily be constructed using a pencil, two tacks, a string, a sheet of paper and a piece of cardboard.

What is the law of equal areas?

Kepler's second law - sometimes referred to as the law of equal areas - describes the speed at which any given planet will move while orbiting the sun. The speed at which any planet moves through space is constantly changing.

What is the third law of harmonies?

Kepler's third law - sometimes referred to as the law of harmonies - compares the orbital period and radius of orbit of a planet to those of other planets. Unlike Kepler's first and second laws that describe the motion characteristics of a single planet, the third law makes a comparison between the motion characteristics of different planets. The comparison being made is that the ratio of the squares of the periods to the cubes of their average distances from the sun is the same for every one of the planets. As an illustration, consider the orbital period and average distance from sun (orbital radius) for Earth and mars as given in the table below.

What were Johannes Kepler's three laws?

Kepler's Three Laws. In the early 1600s, Johannes Kepler proposed three laws of planetary motion. Kepler was able to summarize the carefully collected data of his mentor - Tycho Brahe - with three statements that described the motion of planets in a sun-centered solar system. Kepler's efforts to explain the underlying reasons for such motions are ...

Who proposed the laws of planetary motion?

In the early 1600s, Johannes Kepler proposed three laws of planetary motion. Kepler was able to summarize the carefully collected data of his mentor - Tycho Brahe - with three statements that described the motion of planets in a sun-centered solar system. Kepler's efforts to explain the underlying reasons for such motions are no longer accepted;

What are Kepler's three laws?

Kepler's three laws describe how planetary bodies orbit about the Sun. They describe how (1) planets move in elliptical orbits with the Sun as a focus, (2) a planet covers the same area of space in the same amount of time no matter where it is in its orbit , and (3) a planet’s orbital period is proportional to the size of its orbit ...

Which direction do planets orbit the Sun?

The planets orbit the Sun in a counterclockwise direction as viewed from above the Sun's north pole, and the planets' orbits all are aligned to what astronomers call the ecliptic plane.

Where did Kepler live?

Kepler lived in Graz, Austria during the tumultuous early 17th century. Due to religious and political difficulties common during that era, Kepler was banished from Graz on August 2nd, 1600.

Who was the most accurate astronomer?

Tycho Brahe is credited with the most accurate astronomical observations of his time and was impressed with the studies of Kepler during an earlier meeting. However, Brahe mistrusted Kepler, fearing that his bright young intern might eclipse him as the premier astronomer of his day.

What are the properties of an ellipse?

The first property of an ellipse: an ellipse is defined by two points, each called a focus, and together called foci. The sum of the distances to the foci from any point on the ellipse is always a constant. The second property of an ellipse: the amount of flattening of the ellipse is called the eccentricity.

What is the first law of Kepler?

Kepler's First Law: each planet's orbit about the Sun is an ellipse. The Sun's center is always located at one focus of the orbital ellipse. The Sun is at one focus. The planet follows the ellipse in its orbit, meaning that the planet to Sun distance is constantly changing as the planet goes around its orbit.

Where is the Sun's center?

The Sun's center is always located at one focus of the orbital ellipse. The Sun is at one focus. The planet follows the ellipse in its orbit, meaning that the planet to Sun distance is constantly changing as the planet goes around its orbit.

Who was Kepler's mentor?

Kepler was able to summarize the carefully collected data of his mentor - Tycho Brahe - with three statements that described the motion of planets in a Sun- centered (heliocentric) solar system.

What is the law of ellipses?

Sometimes referred to as the law of ellipses, Kepler’s first law explains that planets are orbiting the Sun in a path described as an ellipse. An ellipse is a special curve in which the sum of the distances from every point on the curve to two special points is a constant.

What are Kepler's laws of motion?

Kepler's three laws of planetary motion can be described as follows: 1. The path of the planets about the Sun is elliptical in shape, with the center of the Sun being located at one focus. (The Law of Ellipses) 2.