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Broward College - ANT - ANT2000
Naming theStarsThe stars on the celestial sphere are named in several different ways. As a result,the brighter stars may have more than one name. We give a brief overview ofnaming stars here. A somewhat more extensive discussion may be found inthis S
Broward College - ANT - ANT2000
Newton's Three Lawsof MotionLet us begin our explanation of how Newton changed our understanding of theUniverse by enumerating his Three Laws of Motion.Newton's First Law of Motion:I. Every object in a state of uniform motion tends toremain in that
Broward College - ANT - ANT2000
Newtonian Gravitation and theLaws of KeplerWe now come to the great synthesis of dynamics and astronomy accomplished byNewton: the Laws of Kepler for planetary motion may be derived from Newton'sLaw of Gravitation. Furthermore, Newton's Laws provide c
Broward College - ANT - ANT2000
Orbit andPhases of the MoonThe orbit of the Moon is very nearly circular (eccentricity ~ 0.05) with a meanseparation from the Earth of about 384,000 km, which is about 60 Earth radii.The plane of the orbit is tilted about 5 degrees with respect to the
Broward College - ANT - ANT2000
Perigee and ApogeeThe largest separation between the Earth and Moon on its orbit iscalled apogee and the smallest separation is called perigee. Here is anonline Lunar Perigee and Apogee Calculator that will allow you to determine thedate, time, and di
Broward College - ANT - ANT2000
Plate TectonicsIt is now uniformly agreed that the crustal plates of the Earth are in horizontalmotion. This is called continental drift colloquially, and plate tectonics (seealso this summary) in technically more precise language. This is newly wonkn
Broward College - ANT - ANT2000
Precession of theEarth's Rotation AxisThe Earth's rotation axis is not fixed in space. Like a rotating toy top, thedirection of the rotation axis executes aslow precession with a period of 26,000years (see following figure).Pole Stars are Transient
Broward College - ANT - ANT2000
Realistic Weather PatternsThe adjacent animation shows GOES-8 weather satellite images over a 72-hourperiod from Dec. 29, 1996, through Jan. 1, 1997. This is a geosynchrous satellite,which means that it orbits the Earth with the same period as the Eart
Broward College - ANT - ANT2000
Revolution and Rotationof the PlanetsAs discovered by Kepler, the planets orbit on ellipses with the Sun at one focus.In addition, the planets all revolve in the same direction on their orbits (directorbital motion). Let's now consider the orbits of t
Broward College - ANT - ANT2000
Sidereal Days and Solar DaysThe sidereal day is defined to be the length of time for the vernal equinox toreturn to your celestial meridian. The solar day is defined to be the length of timefor the Sun to return to your celestial meridian. The two are
Broward College - ANT - ANT2000
Simulating the Apparent Motion of the SunOne can use the Starry Night program for Windows and the Macintosh tosimulate the appearance of the sky at any time, from any chosen vantage point inthe Solar System. Thus, by choosing different points on the su
Broward College - ANT - ANT2000
Sir Isaac Newton and theUnification of Physics & AstronomySir Isaac Newton (1642-1727) was by many standards the most important figurein the development of modern science. Many would credit he and Einstein withbeing the most original thinkers in that
Broward College - ANT - ANT2000
Sir Isaac Newton: TheUniversal Law of GravitationThere is a popular story that Newton was sitting under an apple tree, an applefell on his head, and he suddenly thought of the Universal Law of Gravitation. Asin all such legends, this is almost certain
Broward College - ANT - ANT2000
Sizes and ScalesThere are many popular misconceptions concerning the size and scale of objectsin the Solar System. These mostly have to do with a failure to realize the relativeradii of planets and the Sun, and the failure to appreciate how large the o
Broward College - ANT - ANT2000
Solar Systemsin the Making?The nebular hypothesis for the origin of our Solar System has been bolstered bya variety of recent observations that look very much like star and planetarysystems in various stages of formation.New Solar SystemsRecent Hubb
Broward College - ANT - ANT2000
Some Future Consequences of Plate TectonicsPlate tectonics is still an active process, and will drastically reshape the face ofthe Earth over the next 50 million years or so. A fewconsequences of plate tectonics based on projections ofpresent motion i
Broward College - ANT - ANT2000
Some Properties of EllipsesSince the orbits of the planets are ellipses, let us review a few basic properties ofellipses.1. For an ellipse there are two points called foci (singular: focus) such that thesum of the distances to the foci from any point
Broward College - ANT - ANT2000
Spring Tides and Neap TidesAnother complication of a realistic model is that not only the Moon, but otherobjects in the Solar System, influence the Earth's tides. For most their tidalforces are negligible on Earth, but the differential gravitational fo
Broward College - ANT - ANT2000
Star Formation in the Eagle NebulaThe following images show examples in the Eagle Nebula of regions where stars(and possibly solar systems) appear to be forming.Star-Birth Clouds in M16 (Eagle Nebula). J. Hester and P.Scowon (Arizona St. Univ.), Novem
Broward College - ANT - ANT2000
Structure of the InteriorAccumulated and detailed seismic studies, coupled with theoretical speculation,suggests the interior structure shown schematically on the left (the figure is not toscale). The Earth is believed to have a solid inner core, made
Broward College - ANT - ANT2000
Summary of Brahe's ContributionsAmong the important contributions of Brahe:1. He made the most precise observations that had yet been made by devisingthe best instruments available before the invention of the telescope.2. His observations of planetary
Broward College - ANT - ANT2000
The 7 Planets of the AncientsThe term "planet" originally meant "wanderer": it was observed long ago thatcertain points of light wandered (changed their position) with respect to thebackground stars in the sky. In ancient times, before the invention of
Broward College - ANT - ANT2000
The Accidental Discovery of PlutoLater, similar calculations on supposed perturbations of the orbits of Uranus andNeptune suggested the presence of yet another planet beyond the orbit ofNeptune. Eventually, in 1930, a new planet Pluto was discovered, b
Broward College - ANT - ANT2000
The Apparent Motion of Planetson the Celestial SphereTwo observations concerning the planets were verydifficult to explain for astronomers of the MiddleAges:1. The usual motion of planets as they"wandered" on the celestial sphere waseastward agains
Broward College - ANT - ANT2000
The CelestialSphereMuch of our initial discussion of Astronomy will concern the motion of objects inthe sky. Therefore, we shall introduce some terminology and a coordinate systemthat allow us to specify succinctly the location of particular objects i
Broward College - ANT - ANT2000
The Center of Mass for a Binary SystemIf you think about it a moment, it may seem a little strange that in Kepler's Lawsthe Sun is fixed at a point in space and the planet revolves around it. Why is theSun privileged? Kepler had rather mystical ideas a
Broward College - ANT - ANT2000
The Constellations of the ZodiacThe zodiac is an imaginary band 18 degrees wide and centered on the ecliptic.The constellations that fall in the zodiac are called the 12 constellations of thezodiac. They were at one time thought to have great mystical
Broward College - ANT - ANT2000
The ConstellationsHistorically, constellations were groupings of stars that were thought to outlinethe shape of something, usually with mythological significance. There are 88recognized constellations, with their names tracing as far back as Mesopotami
Broward College - ANT - ANT2000
The Entire Solar SystemHere is the entire Solar System to scale for the orbits, also in the Fall, 1996:The Entire Solar System to scale, Fall, 1996Notice the enormous amount of empty space in the outer Solar System. To showthe entire Solar System to s
Broward College - ANT - ANT2000
The Flamsteed Naming SystemThe Bayer system is a little more systematic than a set of common names, butthere are only a finite number of letters in the Greek alphabet, so it cannot beused easily to name very many stars. The Flamsteed naming system can
Broward College - ANT - ANT2000
The Gregorian CalendarHowever, the Julian year still differs from the true year of 365.242199 days by 11minutes and 14 seconds each year, and over a period of 128 years even the JulianCalendar was in error by one day with respect to the seasons. By 158
Broward College - ANT - ANT2000
The Heliocentric SystemIn a book called On the Revolutions of the Heavenly Bodies (that was published asCopernicus lay on his deathbed), Copernicus proposed that the Sun, not theEarth, was the center of the Solar System. Such a model is called a helioc
Broward College - ANT - ANT2000
The Laws of Planetary MotionKepler obtained Brahe's data after his death despite the attempts by Brahe'sfamily to keep the data from him in the hope of monetary gain. There is someevidence that Kepler obtained the data by less than legal means; it is f
Broward College - ANT - ANT2000
The Moons of JupiterGalileo observed 4 points of light that changed their positions with time aroundthe planet Jupiter. He concluded that these were objects in orbit around Jupiter.Indeed, they were the 4 brightest moons of Jupiter, which are now commo
Broward College - ANT - ANT2000
The Observations ofTycho BraheAs we have noted, modern astronomy is built on the interplay betweenquantitative observations and testable theories that attempt to account for thoseobservations in a logical and mathematical way. A crucial ingredient in
Broward College - ANT - ANT2000
The Origin of theSolar SystemThe Nebular Hypothesis in its original form was proposed by Kant and Laplacein the 18th century. The initial steps are indicated in the following figures.Collapsing Clouds of Gas and DustA great cloud of gas and dust (cal
Broward College - ANT - ANT2000
The Physics of Aristotle versusThe Physics of GalileoAristotle taught that the substances making up the Earth were different from thesubstance making up the heavens. He also taught that dynamics (the branch ofphysics that deals with motion) was primar
Broward College - ANT - ANT2000
The SeasonsThere is a popular misconception that the seasons on the Earth are caused byvarying distances of the Earth from the Sun on its elliptical orbit. This is notcorrect. One way to see that this reasoning may be in error is to note that theseaso
Broward College - ANT - ANT2000
The Universe ofAristotle and PtolemyThe celestial sphere that we introduced previously is a convenient fiction tolocate objects in the sky. However, the Greek philosopher Aristotle (many ofAristotles works are available at the Internet Classics Archiv
Broward College - ANT - ANT2000
The "Road of the Sun" on the Celestial SphereAnother important imaginary object on the celestial sphere is the "ecliptic" or"Road of the Sun", which is the imaginary path that the Sun follows on thecelestial sphere over the course of a year. As the dia
Broward College - ANT - ANT2000
TheEarthThe Earth is certainly the most familiar planet, though it has only been a few hundredyears since we fully realized it was a planet. We begin our study of objects in the SolarSystem with the Earth because it is interesting in its own right, an
Broward College - ANT - ANT2000
TimekeepingHistorically, the regular motion of objects in the sky servedas the basis for timekeeping. The diurnal motion of the skycaused by the rotation of the Earth on its axis defined theday, the year was defined by the motion of the Earth on its o
Broward College - ANT - ANT2000
Total Solar EclipsesA total solar eclipse requires the umbra of the Moon's shadow to touch thesurface of the Earth. Because of the relative sizes of the Moon and Sun and theirrelative distances from Earth, the path of totality is usually very narrow(h
Broward College - ANT - ANT2000
Two Limiting CasesWe can gain further insight by considering the position of the center of mass intwo limits. First consider the example just addressed, where one mass is muchlarger than the other. Then, we see that the center of mass for the systemes
Broward College - ANT - ANT2000
Van Allen Radiation BeltsA fundamental property of magnetic fields is that they exert forces on movingelectrical charges. Thus, a magnetic field can trap charged particles such aselectrons and protons as they are forcedto execute a spiraling motion ba
Broward College - ANT - ANT2000
Vectors: Velocities,Accelerations, and ForcesIn order to understand the discoveries of Newton, we must have anunderstanding of three basic quantities: (1) velocity, (2) acceleration, and (3)force. In this section we define the first two, and in the ne
Broward College - ANT - ANT2000
Weight and the Gravitational ForceWe have seen that in the Universal Law of Gravitation the crucial quantity ismass. In popular language mass and weight are often used to mean the samething; in reality they are related but quite different things. What
Broward College - ANT - ANT2000
Common warts SymptomsCommon warts commonly affect the plantar regions of the hands and feet. They usually range in sizefrom a few millimeters up to 1 cm. The surface of a wart will often appear to be flat, or hyperkeratotic andslightly raised. There ar
Broward College - ANT - ANT2000
Folliculitis SymptomsPatients often present with erythematous, folliculocentric papules that may be painful. The papules areusually small, uniform in size. They often appear on the face, chest, back, shoulders or groin (typicallyany part over the body
Broward College - ANT - ANT2000
Leg ulcer Venous ulcersPopulation affected: Venous ulcers are the most common form of leg ulcer, accounting for ~70%. Theyare especially common in later life affecting ~1% of the over 70s. They result from sustained venoushypertension, often due to inc
Broward College - ANT - ANT2000
Leg ulcer Neuropathic ulcersPopulation affected: Neuropathic ulcers are common in diabetic patients, the wearing of the skin goesunnoticed due to decreased sensation in the legs as a result of peripheral neuropathy. In diabetic patientsthere is commonl
Broward College - ANT - ANT2000
Male pattern baldness SymptomsMen (some women)Increasing age (>25 y/o =10%; >35 y/o=25%,>50 y/o=50%)Positive FHx (father, mother +/- maternal grandfather)Gradual receding of the fronto-temporal regionThinning of the crown (vertex)Risk Factor: Whilte
Broward College - ANT - ANT2000
Male pattern baldness TreatmentConservative:Tinted cosmetics, Hairpieces or hair extensions, NanogenMedical:Minoxidil topical solution : (2%-5%) apply the affected area bd.Oral finasteride: 1mgNon-surgical:Low level laser therapySurgical:Follicul
Broward College - ANT - ANT2000
MelanomaSymptomsMalignant melanoma is caused by an abnormal proliferation of melanocytes. Small clusters ofmelanocytes are known as moles or naevi and typically present in childhood and adolescence. Malignantmelanoma may develop in an existing mole or
Broward College - ANT - ANT2000
MelanomaEpidemiologyIn recent years there has been a dramatic increase in the incidence of skin cancer cases. Incidence in theUK is estimated to be around 8,000 cases a year. Incidence in Australia, New Zealand and America ismuch higher. Malignant mela
Broward College - ANT - ANT2000
Necrotizing FasciitisSymptomsFascia is a connective tissue that lies between tissue layers, surrounds organs and forms musclesheaths. If an infection gains a stronghold within the fascia is can spread very rapidly under the surface ofthe skin. Symptoms
Broward College - ANT - ANT2000
Necrotizing Fasciitis EpidemiologyNecrotizing Fasciitis is rare but its incidence increases with age. Both sexes are equally affected andincidence is higher in at risk populations. The incidence in the UK is estimated to be around 400-500cases each yea
Broward College - ANT - ANT2000
Pressure soresSymptomsPressure sores can begin as tender red patches which may develop into painful open wounds that maybe superficial or extend to underlying structures, including muscle and bone. Pressure sores may alsobecome necrotic and give off a
Broward College - ANT - ANT2000
PsoriasisSymptomsScaly plaques (elbows, knees, and/or extensor surfaces, scalp)Guttate psoriasis = widespread scaly papules in the distribution of water droplets on trunk, arms,and legs (often after an upper respiratory infection)PruritisStarts with
Broward College - ANT - ANT2000
Psoriasis DiagnosisThis is a clinical diagnosis and often no tests are neededClinical diagnosis.TreatmentMild to moderate plaque or guttate psoriasis: (Start from top - down)1. Topical ointments to reduce scaling and itch2. Topical corticosteroids (r
Broward College - ANT - ANT2000
Scabies SymptomsDiagnosis is based on history and clinical examinationCharacterised by:PruritusSite of lesions = axillae, groin, buttocks, hands/feet (especially web spaces), sparing of head andneck (except in infants)Similar symptoms in family memb