Analysis of Keplers Three Laws

Analysis of Keplers Three Laws Introduction: Cosmological principle is a hypotheses of that the Universe is homogeneous and isotropic on a large scales (Random House Dictionary, 2017), which means that the Universe(U1 or U2) will be seen as the same distribution of objects no matter where to see. Thus, the same physical laws and models applied on the Earth will also applies in all parts of the Universe(uoregon, N/A). It was believed that the model of Earth-centred until the Renaissance. Copernicus came up with his geocentric model In this article, the laws be investigated is Keplers three laws, and demonstrates how new observations are found by observing the knowledge from previous. Kepler, who correctly defined the observation of Copernicus that the planets revolve around the Sun, came up this his laws of planetary motion and correctly the orbits of planets. Kepler in virtue of astronomical observations and records of Tyche Brahe, who was a wealthy astronomer and believed in Earth-centred model of universe, to found the orbits of the planets followed three laws (NASA, N/A). Hence, Keplers three laws of planetary motion are 1st law of Ellipses, 2nd law of equal areas and 3rd law of harmonics(Air University, 2003), which each of them will be explored specifically in the following paragraphs about the evidences that support the theory initially and currently. Theory: Â   Â   Keplers first law states that the orbits of the planets are ellipses with the sun at one focus(reference). This means that the Sun, as one of the points(foci), is not the centre of the ellipses; and the planet follows the ellipse in its orbit, which the distance of the planet and Sun will changing constantly as the planet moves around in its shape of ellipses. This can be illustrated in Figure__, where the sum of the green and blue lines are always constant. Secondly, Keplers second law describes the area of a planet connected by a line to the Sun travels in its ellipse orbit is equal to the area sweep in a fixed time period. This can be illustrated in Figure__, which v1 is the velocity at perihelion (when the position is closer to the Sun), v2 is the velocity at aphelion (when the position is far from the Sun), r1 and r2 is the distance from a planet to the Sun at perihelion and aphelion. The law of areas allows as the area swept are the same. Divide both side by to make it as ratio . If the distance of aphelion r2 is 2 times longer than perihelion, the velocity v2 will be 2 times slower than v1. Hence, this indicates the speed of the planet is faster when it is positioned close to the Sun, and slower when the distance of the planet to the Sun is far. In addition, Keplers second law supports his first law, as the velocity vector is constantly changing in its magnitude and direction. The magnitude of the velocity would be the same If th e orbit were circular. Therefore, this further justified Keplers first law that the shape of the orbit is ellipses. Furthermore, the third law makes a comparison between the motion characteristics of different planets, which result in the squared ration of the orbital period of a planet is equal to the ration of the cubes of the distance it to the sun(semi-major axis). This can be expressed in formula , which that T1 and T2 are the orbital period of the two planets; and A1 and A2 are the distances from the Sun to the planets for the two planets. The results table in Figure__ demonstrates how the average distance (au) of the planets away from the Sun effect on the period (year) of the planets trave. Thus, it informs that the furthest the planets from the Sun are, the longer periods they are travel in their orbits. Furthermore, Newtons laws support Keplers laws and provide corrections. Newtons law of gravitation is found to describe the motions of all in the universe, which also justified the cosmological principle. As the velocity of the planet orbit is constantly changing, there is an acceleration in the movement; and the areas sweep by the planet- Sun line are equal in their equal times, this indicates that there is a force directed acting on the planet to the Sun. This matches Newtons second law that there is an implied force that acts on the planets continuously. Newtons third law, which sates the size of forces acting on the two different interacting objects are the same, implies the force is proportional to the product of the masses for the planet and the Sun.[JZ-01] Thus, Keplers laws are supported by the Newtons laws. http://www.pas.rochester.edu/~blackman/ast104/newtonkepler.html Nicolaus Copernicus firstly proposed his heliocentric view of the universe that the Earth was not the central and like all the other planets circled the Sun (First print of Heliocentric model by Nicolaus Copernicus see Figure__). However, he was not be able to publish his theory until his death duo to people believed he was not concerned about the Churchs approval. Furthermore, the evidence for Copernicus model is gradually mounted. Galileo observed the phase of Venus by his telescope, which proved that the planet orbits the Sun. Kepler corrected and defined the planets orbits after he became the assistant of astronomer, Tycho Brahe, who asked him to defined the orbit of Mars and passed his collection of astronomical observations to Kepler after his death. Brahe was attempt to prove his theory with all his extensive astronomical records collected through his lifetime, which later on Kepler adapted his records and used to prove heliocentrism and found the orbits of the planets followe d three laws. This was proved initially that Kepler started to describing the Earths orbit before the orbit of Mars, as Mars was observed from a moving Earth. As he followed the traditionally believed that the Earths orbit was circular, he noted the linear speed of the planet changed with the distance from the sun, which matches with the astronomical observations of the motions of Earth with a circular orbit collected by Brahe. Thus, the orbit of Earth is close to a circle defined. However, Mars was moving too quick at aphelion perihelion and too slow at the sides while using the model established initially for Earth. Therefore, Kepler decided to change the shape of the orbit to represent Mars position more accurately. Thus, the orbit is an ellipse was justified by applying the area law to calculate. Eventually, his discovery about the area of the planet to the Sun swept in equal times led to the realization of Keplers first law that the planets orbits are elliptic with the Sun at o ne focus point. Newton corrected Keplers law with his laws of motion and law of universal gravitation, which makes small change that the planets are orbited around the sun but around common centre of gravity. This helps to discover other planets in the other stars. The Hubble space telescope of NASA has taken the first visible- light snapshot of a planet circing another star. The Hubble image of Fomalhut from the Hubble shows that the new discovered planet Fomalhaut b orbits its parent star. It also shows a ring of debris appears to surround the new planet (NASA, 2008). https://www.nasa.gov/mission_pages/hubble/science/fomalhaut.html furthermore, Keplers first and second laws can also be supported by the weather and time on Earth, which if the orbit were a circle, the earth would travel at a constant speed and spend half of the time in both summer and winter. However, the winter time is about 2 days fewer in the winter half and the earth moves faster in the winter half(Stern, 2005). In conclusion, keplers laws are still vaild today and have an important place in the history of science, astronomy and cosmology. They are the key step in the revolution which moved from Earth-centred model to the heliocentric model, and they led the discovery of Newtons laws. . As the modern scientists are still discover more about the universe and working in the light of discoveries made by earlier fellow scientists, thus, it justified Newtons statement, that if I have been able to see any further, it was only because I stood on the shoulders of giants. Â   Â   [JZ-01]Rephrase this sentence.

Kurt Donald Cobain :: Biography

Kurt Donald Cobain was born on February 20, 1976 in Hoquaim, a small town south-west of Seattle. When he was about six months old he moved to Arberdeen and spent most of his childhood there. His parents divorced when he was seven years old. Cobain did not handle the divorce well. Cobain said that he never felt loved or secure again (Ronson, 1996). He became anti-social and withdrawn after the divorce. Cobain was passed around to several relatives and even lived under a bridge at one point. After Cobain’s parent’s divorced, he lived with his mom in a trailer park for a year. Cobain then lived with his father in Montesano. His father made him participate in sports. Cobain would intentionally not perform well while playing sports to get back at his dad. Cobain decided to learn how to play guitar instead of playing sports. He enjoyed reading and doing other artistic activities. Cobain’s interests made him a target for bullies. (Wilson, 1996) Cobain was a sickly child. â€Å"As an infant, he suffered from chronic bronchitis and scoliosis, and, by the age of seven, he was being prescribed both Ritalin and sedatives to allow him to sleep† (Headlam, 1996). Cobain complained of burning stomach pain that kept him from participating in gym class. In 1985 Cobain started the band Nirvana. The band went through several changes before finally becoming Nirvana. In 1987 the band was playing in several locations. In 1988 the band landed their first record deal. Cobain’s music mainstreamed the grunge sound. Nirvana rose very quickly to become stars. â€Å"Nirvana was, briefly, the most popular band in the world largely because of the cult of personality that grew around Cobain† (Headlam, 1996). After Nirvana released the album Nevermind, Cobain married Courtney Love. â€Å"Love shared Cobain’s penchant for self-destruction, but none of his ambivalence about fame. Together they went on a drug taking spree that resulted a few times in Cobain nearly dying and Love taking heroin during her pregnancy† (Headlam, 1996). Cobain claimed that the birth of his daughter, Frances Bean Cobain, made him a different man. He claimed that he was a doting father and husband. It is believed that the drug use continued though. â€Å"On March 5th , 1994 Cobain was rushed to the hospital in a coma after an unsuccessful suicide bid in which he washed down about fifty prescription painkillers with champagne† (Ronson, 1996). The attempt was not made known to many people.

Representative Charles Rangel of New York

In attempting to scare American at the thought of going to war with Iraq, Representative Charles Rangel of New York proposed a bill to reinstate the military draft. His purpose was not to argue the draft itself, but to make Americans aware of the perils of going to war and the inequity in the current military. Ironically, four years later, the war is a reality, and so is the draft. Reinstating the military draft will serve the US’s failing military both abroad and at home.First of all, the draft in the 21st century would need to be fair. Many people fear the draft because it is well known that the lower socioeconomic levels and minorities are disproportionately represented in the fighting military today. As a matter of fact, more than 30 percent of the nation’s military is made up of minorities (Rangel Introduces a Bill to Reinstate Draft, 2003). The new draft would make everyone between the ages of 20 to 26 (or perhaps as young as 18 and as old as 28) register and serv e.Thus, the draft is perceived as more fair. â€Å"One reason more young people don't serve now is the fear that while they're wearing the uniform, their peers will be out having fun and getting a leg up in their careers. If everyone were required to serve, no one would feel like a sucker† (Moskos and Glastris, 2001). However, the idea of sending every college aged kid overseas to carry a gun is an outdated vision of the draft. Nowadays, the military needs more than just ‘professional soldiers.’ Plenty of duties are available for those draftees (and volunteers) that are made available with the draft. As Moskos and Glastris (2001) note, we are now dealing with a â€Å"shadowy enemy† rather than an obvious platoon of marching troops. The new enemy is everywhere – terrorism. â€Å"That terrorists might poison municipal water supplies, spray anthrax from crop dusters, or suicidally infect themselves with small pox and stroll through busy city streets, is no longer considered farfetched.That we might need to draft some of our people to counter these threats—now that's considered farfetched, to the extent that it's considered at all† (Moskos and Glastris, 2001). Fighting this war will take more manpower than the United States currently has. This manpower will not necessarily be in trenches or tanks. They will be doing duties that many Americans do not realizes are needed.These jobs include federal armed personnel to â€Å"guard dams, nuclear power plants, sports complexes, and U. S. embassies abroad; more border patrol and customs agents to keep terrorists and their weapons from entering the country; more INS agents track down immigrants who have overstayed their visas; more coast guard personnel to inspect ships; more air marshals to ride on passenger jets; and more FBI agents to uncover terrorist cells still operating within and outside our borders†¦border guards, customs agents, anthrax inoculators, or disaste r-relief specialists (Moskos and Glastris, 2001).None of these jobs require tactical war skills. In addition, many individuals do not understand the in a perfect situation, troops would not serve for such long terms. Now, with the shortage of soldiers in Iraq, many troops are being redeployed two and three times. A draft would solve this problem. In Bosnia or Kosovo, the average time of deployment was only six months (Moskos and Glastris, 2001).The short duration for draftees would be less daunting than the burden the current military is bearing. The idea of the draft of previous decades is not the same draft as the one of this era simply because the war landscape is different. Fairly distributing the burden and reducing terms is one difference that many will notice. In addition, these individuals will serve at duties not necessarily on the front lines, but in positions of homeland security due to the new type of war on terror.With the guarantee that all will serve in a way that is appropriate for them, people have a better chance of becoming that a draft is necessary to continue the freedoms that all Americans enjoy. References Moskos, C. & Glastris, P. (2001). Now Do You Believe We Need A Draft? Washington Monthly 4 June 2007 from http://www. washingtonmonthly. com/features/ 2001/0111. moskos. glastris. html Rangel Introduces a bill to reinstate draft. (2003). CNN. Com Inside Politics. Retrieved 4 June 2007 from http://www. cnn. com/2003/ALLPOLITICS/01/07/rangel. draft/

Entrepreneurship, Franchising and Small Business.

Introduction to Business Assignment #01: On Chapter #3 #4 Chapter #3: Entrepreneurship, Franchising and Small Business. 09. Why would a person want to own a franchise of a major well-known franchisor? 10. What is an intrapreneur? Why do some firms encourage intrapreneurship? Chapter #4: Social Responsibility and Business Ethics. 09. Why is insider trading illegal? Chapter#3: Entrepreneurship, Franchising and Small Business Question #09: Why would a person want to own a franchise of a major well-known franchisor? Answer: While many people desire to open and operate their own independent business, there are quite a few obstacles that most face. Starting a business from scratch can be very intimidating and most†¦show more content†¦Minimized Business Risks Because the franchisee is buying a proven business concept, the business risks involved are largely minimized. The parent company has already resolved most, if not all, of the problem areas in its systems and procedures. What the franchisee is getting is a refined package of technical expertise, marketing strategies, and operational systems. There are many advantages to be found in buying a franchise that make starting your own business that little bit easier. When faced with starting your own business it can sometimes be the simple solution. Some well-known Franchisor – [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] Chapter #3: Entrepreneurship, Franchising and Small Business Question #10: What is an intrapreneur? Why do some firms encourage intrapreneurship? Answer: An employee who takes responsibility for developing an innovative idea into a marketable product is known as an intrapreneur. Intrapreneurship is an independent and daring management concept and has worked very successfully in small and new business organizations. [pic] Innovative corporate management style encourages employees within an organization to create new product ideas. If employee ideas are approved, management will finance research and development of the product while sharingShow MoreRelatedGlobal Business : Franchising Of Brazil1713 Words   |  7 PagesGlobal Business - Franchising in Brazil 1. Country Background 1.1 Brazil - Federative Republic of Brazil 1.2 Neighboring countries include Argentina, Bolivia, Colombia, French Guiana, Guyana, Paraguay, Peru, Suriname, Uruguay, and Venezuela (â€Å"Country Report – Brazil,† 2015). 1.3 The territorial size of the country is 8,515,800 sq. km 1.4 Brazil’s population is 201,032,714 (â€Å"Country Report – Brazil,† 2015). 1.5 Brazil’s political system is a federal republic and its Constitution confers powers toRead MoreHow Does Tight Control Stifle Creativity Innovation Creativity, Innovation And Entrepreneurship1727 Words   |  7 PagesIt is an indisputable fact that the management style becomes an important way to measure the successes of business performance. In order to enhance the competition of a company, manager needs to focus on creativity, innovation and entrepreneurship. In fact, the different type of control styles can be provided for separate level of employees. In many big companies, they apply tight control, for example McDonald’s uses democratic leadership and achieve high production efficiency by imposing pressureRead MoreEssay Entrepreneurship1567 Words   |  7 PagesDescribe the term Entrepreneurship and the challenges of starting a small business Entrepreneurship is the dream of a lifetime for most individuals. The idea of being in control on ones financial future by establishing, owning, and operating their own business has driven most individuals in the direction of Sole Proprietorships. Most plunge in looking at the advantage and over looking the disadvantage and challenges of Sole Proprietorships. This first challenge that one might face on the roadRead MoreThe Concept Of An Entrepreneurship1345 Words   |  6 PagesThe definition of an entrepreneurship is a commonly argued point, with several definitions given by many different people. The Business in Action textbook defines entrepreneurship as the combination of innovation, initiative and willingness take risks required to create and operate new businesses and an entrepreneur as a person with positive, forward-thinking desire to create profitable, sustainable business enterprise. According to this definition, a small business owner could definitely be classedRead MoreEntrepreneurship Education Of Chemical Engineering1591 Words   |  7 PagesEntrepreneurship Education in Chemical Engineering Economic trends and rapidly changing hiring conventions are fueling a rapid expansion in value awareness of entrepreneurship education to engineering students. Each year, a growing proportion of the two hundred thousand engineering graduates find work in small businesses or start-up ventures, eliciting a new type of engineer, an entrepreneurial engineer, who needs a broad range of skills and knowledge above and beyond a strong science and engineeringRead MoreAntecedents in the Life of Bob Ansett1453 Words   |  6 PagesTopic: Personal, sociological and environmental antecedents have been identified in the entrepreneurial business. You are to find an article on an entrepreneur in a tourism or hospitality business and discuss your entrepreneur’s personal, sociological and environmental antecedents. Personal, sociological and environmental antecedents experienced by an individual and the consequences of these antecedents are critical in determining whether that individual has the capacity to become an entrepreneurRead MoreDiscussion Board Forum 3 Case Study1554 Words   |  7 PagesDISCUSSION BOARD FORUM 3 CASE STUDY ON BUSI 561 STARTING AND NAMING A BUSINESS Shania’s is confronted with lots of decisions to make before she opens up her Christian coffeehouse near Denver, Colorado. The challenges awaiting Shania are the type of business structure to open and type of people to work with. Shania as a Christian should refer to Roman 8:28, â€Å"And we know that all things work together for good to them that love God, to them who are the called according to purpose. She should thereforeRead MoreProblems Encountered in Food Cart Franchising5476 Words   |  22 Pagesencountered in selected food cart franchising business in the University belt: an assessment * 1.    * 2.    * 3.    * 4. B ackground of the study Franchising is often defined as being in business for yourself but not by yourself. It is route to expansion where there is a franchisor and a franchisee that enters into a franchisee agreement, although both parties have a contractual relationship, one that enhances and sustains the success of franchising. It gives the business a distinct ability to expandRead MoreEconomic Impact Of American Fast Food Upon Developing Countries Essay1736 Words   |  7 Pagesinstitutions, and a market economy. Countries that benefit the most from globalization are found to be of high-growth. The integration of a global economy in a country has prompted entrepreneurs to regard the world as one market in the form of franchising. With that being said, economic success can measure the effects of Western commercial globalization from the results of American fast food franchise. Innovations in technology and society have eradicated the difficulties with communication betweenRead MoreComplete A Mindmap On The Importance Of Business To The1258 Words   |  6 Pageson the importance of business to the Australian economy. In workbook Discuss the main roles of business. The main role of a business is to produce goods and services to satisfy consumers demand in order to make a profit. Construct a series of flowcharts to show the interrelationship between producers and consumers. Explain how business has an economic and social importance in Australia. In your answer refer to innovation, quality of life, employment, incomes, entrepreneurship, choice, and wealth