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Universal Gravitation
Universal Gravitation

... Scientists then observed that Uranus’s path was abnormal It seemed to respond to the pull of another distant but unknown body Using mathematical analysis, scientists predicted where the unknown body would have to be and began searching for it In 1846, scientists discovered the planet Neptune ...
1 Timeline 2 Geocentric model
1 Timeline 2 Geocentric model

... • Ptolemy invented the device called the eccentric • The eccentric is the center of the deferent • Sometimes the eccentric was slightly off center from the center of the Earth Ptolemy’s Geocentric Model • Uniform circular motion could not account for speed of the planets thus Ptolemy used a device c ...
Inferior planets.
Inferior planets.

... Using these three laws and Kepler’s Laws, Newton was able to explain the motion of the planets in terms of forces operating and masses involved. This is called dynamics, as opposed to what Kepler did, kinematics, a description of motion. Newton’s starting assumption: there is some kind of force of a ...
UNIVERSAL GRAVITATION
UNIVERSAL GRAVITATION

... relative sizes of the planetary orbits was known but not their absolute sizes. Example: Rmars/Rearth = 1.52 In 1672 French astronomers triangulated Mars when in opposition, observing it from Paris and Cayenne at the same time. Result: Earth-Sun distance = 87 million miles (modern value = 93 million ...
Exam Name___________________________________
Exam Name___________________________________

... 10) According to Copernicus, the retrograde motion for Mars must occur A) at quadrature, when Mars lies exactly 90 degrees east or west of the Sun. B) at greatest elongation, when Mars can get up to 47 degrees from the Sun. C) at opposition, when the Earth overtakes Mars and passes between Mars and ...
Planets or other objects orbiting a star are accelerating
Planets or other objects orbiting a star are accelerating

...  To observe Kepler’s and Newton's laws INTRODUCTION Planets or other objects orbiting a star are accelerating -- they are continually changing direction. The force that produces this acceleration is the gravitational attraction to the star. PROCEDURE Go to http://phet.colorado.edu, click on “play w ...
Celestial Objects
Celestial Objects

... Precession 6 – The Earth behaves somewhat like a spinning top, causing the axis of rotation to trace out a circle. This slow conical motion of the Earth’s axis of rotation is called precession, and is due to the gravitational effects of the Sun and Moon on the Earth’s equatorial bulge. Precession sl ...
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... the top of Mt. Everest in a direction tangent to the ground. If the initial speed were high enough to cause the ball to travel in a circular trajectory around Earth Earth, the ball’s ball s acceleration would – a) be much less than g (because the ball doesn’t fall to the ground). Note: someone in a ...
Sample Exam 1
Sample Exam 1

... a. the revolution of Earth around the Sun. b. the rotation of the Earth on its axis. c. the motion of the solar system around the galaxy. d. the rotation of the whole celestial sphere of stars around the fixed Earth. 19. What are the main constituents of the jovian planets? a. rocky minerals an dwat ...
Ch6-2014-P
Ch6-2014-P

... apple fall from a tree and realized that if the gravitational force could extend above the ground to a tree, it might also reach the Sun. The inspiration of Newton’s apple is a part of worldwide folklore and may even be based in fact. Great importance is attached to it because Newton’s universal law ...
"WITH THE STARS" i - Royal Astronomical Society of Canada
"WITH THE STARS" i - Royal Astronomical Society of Canada

... of the most interesting objects for the amateur astronomer with a small telescope. Saturn, at an average distance of 886 million miles from the Sun, takes nearly 30 years to complete one revolution. Second only to Jupiter in size, it is 72,000 miles in diameter and weighs about 95 times as much as E ...
Measuring the diameter of our star teacher notes
Measuring the diameter of our star teacher notes

... It is probably best to have the procedure as a floating exercise that could be used at some point in a course when it happens to be sunny. Get the students to rub out their pencil marks on the cards so that they can be reused. The distance to the Sun was first calculated by trigonometry. The mathema ...
Lec4_2D
Lec4_2D

... Example of Gravity – Tides The effects of gravity do not depend on the composition of a body, just its mass and distance. The Moon exerts a force on the Earth, but since the Earth has a finite size, this force is different from one side of the Earth to the other. The side of the Earth near the Moon ...
Card Answers #2
Card Answers #2

... Why do the constellations appear to be in different places each night? ...
Gravitation and Rotational Motion
Gravitation and Rotational Motion

... p.s. (multiply by sin theta if used at an angle) Newton’s Second Law for Rotational Motion: states that angular acceleration is directly proportional to the net torque and inversely proportional to the moment of inertia. Center of Mass- this is the point on an object that moves in the same way that ...
Moons and Small Solar System Bodies Sections 17.1-17.6
Moons and Small Solar System Bodies Sections 17.1-17.6

... Parts of a Comet • A comet consists of four parts • Nucleus – typically a few kilometers in diameter and composed of rocky or metallic material • Coma (head) – surrounds the nucleus. Several hundred kilometers in diameter. Formed from the nucleus as it approaches 5AU of the Sun. • Tail – long and v ...
of universal gravitation and of
of universal gravitation and of

... the proper range for their orbits to be of elliptical nature. The Second Law-Law of Equal Areas In deriving the law of equal areas, two methods are used. The first method is that undertaken by Newton in his Principia. The second method is done with use of the calculus. The first method is taken dire ...
January 2007 - Western Nevada Astronomical Society
January 2007 - Western Nevada Astronomical Society

... two successive meridian transits by the Sun. A sidereal day is 23 hours, 56 minutes, 4 seconds long, the length it takes a star to cross your meridian two times successively. A solar day is about 4 minutes longer than a sidereal day because while the Earth rotates on its axis it also moves along in ...
850616SemStudyGuide_AstSns
850616SemStudyGuide_AstSns

... continued to "stay" with Jupiter even though Jupiter moved through space. Therefore, he thought, that means that Earth could move through space and it's moon would "follow" it as the planet moved. 2. Briefly describe the major astronomical discoveries of Brahe, Newton, Kepler and Hubble. Brahe: Made ...
The celestial sphere, the coordinates system, seasons, phases of
The celestial sphere, the coordinates system, seasons, phases of

... surface, no more than 270 km diameter. Because the Earth and the Moon are moving, this area drift across the Earth’s surface and may cover a total of 7,000 km. An observer located inside this strip will see a total solar eclipse. Partial solar eclipse: If the observer is located in the penumbral par ...
Longitude by the Method of Lunar Distance
Longitude by the Method of Lunar Distance

... every four seconds, steadily ticking off as the world turns. Even the best pendulum clocks could not keep time on a tossing ship, and early mariners could only estimate their longitude by dead reckoning. Columbus, although he made contributions to navigation, had a particularly poor concept of longi ...
SOLAR SYSTEM OVERVIEW - Ms. Ferebee`s Webpage
SOLAR SYSTEM OVERVIEW - Ms. Ferebee`s Webpage

... PLUTO: THE DWARF PLANET ...
Lecture 4 (pdf from the powerpoint)
Lecture 4 (pdf from the powerpoint)

... • The four fundamental forces are all important in making the Universe, but gravitation is most important. This is because of two of its basic properties that set it apart from the other forces: 1) it is long-ranged and thus can act over cosmological ...
The Night Sky This Month - Usk Astronomical Society
The Night Sky This Month - Usk Astronomical Society

... Mercury is at inferior conjunction on the 14th and is best observed very early in the month following the Sun down, or very late in the month rising just before the Sun; with the added advantage that it is above the ecliptic. Venus is best observed early in the month when its elongation is largest. ...
Mar - Wadhurst Astronomical Society
Mar - Wadhurst Astronomical Society

... electrons, rather than water, and did not evolve oxygen Many significant factors were essential to life as we know it, such as a stable sun, the presence of suitable elements, the right amount of gravity to retain the atmosphere and we are in what is known as the habitable zone where we orbit the Su ...
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Lunar theory

Lunar theory attempts to account for the motions of the Moon. There are many irregularities (or perturbations) in the Moon's motion, and many attempts have been made to account for them. After centuries of being problematic, lunar motion is now modeled to a very high degree of accuracy (see section Modern developments).Lunar theory includes: the background of general theory; including mathematical techniques used to analyze the Moon's motion and to generate formulae and algorithms for predicting its movements; and also quantitative formulae, algorithms, and geometrical diagrams that may be used to compute the Moon's position for a given time; often by the help of tables based on the algorithms.Lunar theory has a history of over 2000 years of investigation. Its more modern developments have been used over the last three centuries for fundamental scientific and technological purposes, and are still being used in that way.
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