ipl-logo

Kepler's Three Laws Of Planetary Motion

1212 Words5 Pages
bulb-icon

Recommended: Three laws that Kepler assya

Law of Orbits The first of Kepler’s Three Laws of Planetary Motion is the Law of Orbits, which describes the general motion of the planet in regard to its shape. As shown in Figure 6 below, it states that the planets’ orbits about the sun are elliptical, with one focal point located at the center of the sun. As a result, before commencing the proof, I hypothesized that: if planetary orbits are elliptical with one focal point located at the center of the sun, then to prove this I must reach the equation of an ellipse with the Sun as one of the focal points, r=ed1+e(cos()).

Figure 6. Orbits

Figure 7. Vectors describing the motion of the planet in its orbit

Before beginning the proof for Kepler’s First Law of Planetary Motion, however, it is essential to illustrate the scenario, as shown in Figure 7 above, and state facts based upon it. Firstly, we have r, the position vector that moves as a function of time, v, the position vector’s derivative, and a , the position vector’s second derivative. If the acceleration is always straight in towards the origin, which is the case with centripetal acceleration, the …show more content…

Therefore, the distance from the origin is a fixed proportion of the distance of the line. Based on this, it can be stated that d is the position of the directrix of the conic section considering that the eccentricity is greater than zero and less than one. Furthermore, the equation, r=ed1+e(cos(), is the exact equation for an ellipse in polar coordinates with a directrix at x=d and focal points at both the origin and the negative x-axis, further proving Kepler’s First Law of Planetary Motion: that the shape of the orbits is an ellipse with one focal point being the center of the

Show More
Related
718 Words | 3 Pages

This goes hand in hand with Newton's Laws of motion and universal gravitation. Newton's law of universal gravitation states that a particle attracts every other particle in the universe using a gravitational force and Newton's law of motion states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. Newton's Laws back up Kepler's laws by explaining how the planets orbit is an ellipse with the Sun at one of the two foci or center. The force that allows this to happen to the planets are explained by Newton's law and that the gravitational force is moving the planets into rotation, as by the law of motion. These forces assisting each other can make phenomenon's occur such as tides.

Read More
456 Words | 2 Pages

Analysis of Galileo’s Letter to Grand-Duchess Christina During the time that Galileo wrote the letter to Grand-Duchess Christina, there was much debate about the orientation of the universe. There were two different theories of thought at this time. One was the Heliocentric Universe, which believed the sun was the center of the universe and the Earth orbits it.

Read More
607 Words | 3 Pages

As per Ptolemy, what was the world's position in the universe? How did Copernicus' perspective vary? as indicated by ptolemy the earth was the focal point of the universe and the majority of alternate planets, moons and the sun rotated around us. Copernicus perspective was that the sun is in the inside and w rotated around it. What are the four stages in the experimental system?

Read More
825 Words | 4 Pages

The scientific revolution made a vast impact on everyday lives, it caused computers, phones, and other items to be invented. This revolution has caused many conflicts, and with these conflicts it had changed the way people lived and made many people question life. The revolution had made many benefits for people and there were also some people that were harmed during this time. The scientific revolution had many different actions that caused wonderful objects to be invented and allowed people to know more about the world. Different actions were done to create the scientific revolution similar to when the societies developed conflicts, such as when Copernicus made the solar system, how the conflicts changed the societies by the church going against people, the people who experience harmed such as Galileo, and the people who benefitted from the change such as other boys.

Read More
618 Words | 3 Pages

In the years of 1500-1700s, there were many new ideas in Europe after the Renaissance. With these ideas scientists started to discover, there were new medicine and new systems to find out ideas quicker. Although many people liked this new era of technology, this deeply troubled the church. The Scientific Revolution and the Enlightenment made the church furious because they believe everything was created by God. However, scientists like Newton, Kepler, Copernicus, and many more were able observe and conclude ideas, the microscope and other instruments improved observations, and others like Thomas Hobbes created a social contract so many people can speak freely, Scientific Revolution and Enlightenment considered to be a success in Europe and

Read More
2082 Words | 9 Pages

Galileo’s Letter to the Grand Duchess Christina argues that Nicholas Copernicus’ idea about the Earth’s rotation orbiting the sun once a year does not in fact have anything to do with the scripture in the Catholic Bible. Galileo is simply stating a theory that he believes is true and scientifically proven. His ideas came to life in a time when many were questioning their beliefs surrounding the church and ideas that they have had in the past. Galileo was very science- oriented and many of his ideas and teachings did not align, and in some cases directly conflicted, with what the Catholic Church preached.

Read More
634 Words | 3 Pages

Aristarchus of Samos was born 310 bce on the Greek island of Samos, and died 230 bce. It is said that his work was lost through out time, but his reserved work was an essential key to the study of science. He was a Greek astronomer and mathematician who became popular for his theories about our solar system. Out of math, he was the first to state that the sun, not the earth, was at the center of our solar system. However, everybody thought that hi was insane for thinking that, but he was on the correct.

Read More
554 Words | 3 Pages

During the Middle Ages a Roman Astronomer named Ptolemy came up with the theory that all surrounding planets orbited around the Earth. Advancement in telescopes and technology helped Copernicus during the renaissance create a more logical and accurate theory which stated how the sun is in the middle of our universe and all planets orbited the sun. This changed the way man thought because it realized how small Earth is compared to the rest of the solar system and how we may not be

Read More
1377 Words | 6 Pages

Galileo Galilei It can be argued that there is another innovator or scientist during the Scientific Revolution that was the most revolutionary and impactful, however, Galileo was the most revolutionary and impactful mathematician and astronomer during the Scientific Revolution. This is true because Galileo completely changed the way that humans thought about and saw the world around them by discovering sunspots, the phases of Mars and Venus, the 4 moons that orbited Jupiter, and the principle of inertia. Galileo also proved the legitimacy of the Copernican system of Heliocentrism, which not only had effects in the field of science, but also in other fields, such as trading and how traders navigated the oceans. Therefore, Galileo truly changed

Read More
1756 Words | 8 Pages

Today virtually every child grows up learning that the Earth orbits the Sun, but four centuries ago the heliocentric solar system, where the Earth orbits the Sun, was so controversial that the Catholic Church classified it as a crime of heresy (UCLA). In the age of early philosophy, Socrates’ is well known. Between the Socratic method and his line of successful students, Socrates’ makes the history books. Galileo Galilei turned astronomers on their heads when he discovered moons around Jupiter. Giordano Bruno didn’t back down from any of his brilliant and different ideas.

Read More
1150 Words | 5 Pages

However, in 1889, Lars Edvard Phragmen, a Swedish mathematician, was skeptical about Poincare’s claim; that if asteroid’s trajectory is from a fixed point, it would ultimately stabilize towards another fixed point. Poincare rewrote his paper with regards to the problem brought up by Edvard Phragmen. Although Poincare did not succeed in perfecting his work in celestial mechanics, it was still remarkable for him to come up with periodic solutions of the three body problem. Poincare showed the difference between true and intermediate orbits and that is one of the important factors in modern’s day when designing

Read More
1141 Words | 5 Pages

His passion drove him to write a book called De Revolutionibus Orbium Coelestium, or the Revolutions of the Heavenly Spheres. He dedicated his book to Pope Paul III. Nicolaus developed and revised this piece during his entire life. The body of the work falls into six books, each subdivided into a number of chapters (Armitage, 1990, pg. 69). In Book I, Nicolaus strongly argues against the geocentric theory, which states that the Earth is at the center of our solar system.

Read More
745 Words | 3 Pages

“God, who has given the world to men in common, has also given them reason to make use of it to the best advantage of life and convenience” (Locke, 35). The Scientific Revolution concentrated on understanding the physical world through astronomical and mathematical calculations, or testable knowledge. The Enlightenment focused more on “Spreading of faith in reason and in universal rights and laws” (Worlds Together, Worlds Apart, 535). While the Scientific Revolution preceded the Enlightenment, both time periods sought to limit and challenge the power of the Church, through the spread of science, reason and intellect, and political philosophies. The Scientific Revolution began with Nicolaus Copernicus (1473-1542) and Galileo Galilei (1564-1642) wanting to understand the movement of the planets beyond what they authorities had told them.

Read More
1183 Words | 5 Pages

INTRODUCTION Ever since the early days of humanity and recorded history, we know that humans have watched the sky and analyzed and recorded the movement of the various celestial bodies within it. Many of these early civilizations saw the movements within the sky as a celestial dance and were reproducing them in their own way as various dances. Song and dance is a traditional way for populations to teach and pass down important information to younger generations.

Read More
1668 Words | 7 Pages

Others recognized patterns in the ways the objects moved. Thus, astronomy was born. Around 600 B.C. it was accepted that the Earth was not a flat object through the insight of Greek philosophers from looking at the round shadow that the Earth cast on the Moon during lunar eclipses and how the stars seemed to move as one approaches the North Pole. (Larsen, 37). Eudoxus was philosopher known for the idea of a geocentric

Read More

More about Kepler's Three Laws Of Planetary Motion

Related Topics

Open Document