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Lecture12_note

Course: ASTR 5, Spring 2011
School: Mt. SAC
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The 10/11/10 Mercury, Innermost Planet Mercury is one of the least explored planets in the Solar System Unit 38 Mariner 10 (1970s) provided most of the information we have NASAs MESSENGER returned to Mercury in 2008 on its first flyby. MESSENGER will go into orbit around Mercury in 2011 Planet of Extremes (No atmosphere) Mercury On the dayside, surface temperatures exceed 700K On the nightside,...

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The 10/11/10 Mercury, Innermost Planet Mercury is one of the least explored planets in the Solar System Unit 38 Mariner 10 (1970s) provided most of the information we have NASAs MESSENGER returned to Mercury in 2008 on its first flyby. MESSENGER will go into orbit around Mercury in 2011 Planet of Extremes (No atmosphere) Mercury On the dayside, surface temperatures exceed 700K On the nightside, temperatures drop as low as 70 K. Very eccentric orbit, coming as close as .29 AU and as far as 0.41 AU from the Sun Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display. The Surface of Mercury The Surface of Mercury (2) Very similar to Earths moon: Largest basin: Caloris Basin Heavily battered with craters, including some large basins Most craters on Mercury were formed after the era of heaviest bombardment. The impact was so great that shock waves traveled through the planet and along its surface, and shook up the terrain on the opposite side! 1 10/11/10 Caloris Basin Caloris Basin Early in Mercurys history, a huge impact occurred on the surface Formed Caloris Basin, an 800 km wide crater The impact was so great that shock waves traveled through the planet and along its surface, and shook up the terrain on the opposite side! Odd terrain, opposite Caloris Basin The Interior of Mercury Please insert figure 38.6 Mercurys density is unusually high, 5.4 kg/liter Indicates a very large iron core covered by a thin silicate mantle Mercury may have a molten iron (mixed with sulfur) core, despite its size This core may be the cause of the weak magnetic field (similar in shape to the Earths, but much weaker) Scarps Running across Mercurys surface are scarps, kilometer-tall cliffs that are the result of the shrinking of the planet as it cooled Scarps are similar to wrinkles in an apples skin that form as it dries The presence of these cliffs suggests that the core of Mercury is large and metallic something that would shrink significantly as it cools Why is Mercury so dense? It is possible that Mercury once had a thicker mantle, but a collision removed most of the material, leaving only the core and a little lighter mantle material behind 2 10/11/10 3:2 Orbital Resonance Mercury is tidally locked to the Sun Similar to the way the Moon is tidally locked with the Earth After one orbit around the Sun (88 days), the planet has on rotated its axis 1.5 times Revolution : 88 days Rotation : 59 days Unit 39 It then takes two orbits for Mercury to rotate three times! This is called a 3:2 orbital resonance Sunrise and sunset are very strange on this planet! Venus The Sun actually undergoes retrograde motion through Mercurys sky! Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display. The Venusian Atmosphere Venus not so twinlike after all! Venus is only slightly smaller than the Earth, but that is where the resemblance stops! Thick clouds completely obscure the surface It rotates very slowly (once in 243 Earth days), and in the opposite direction as the rest of the planets The surface is tremendously hot! The atmosphere of Venus is very different from Earths: 100 times more massive Surface pressure is 90 atmospheres! 96.5% carbon dioxide Thick clouds of sulfuric acid Trace amounts of water vapor Lightning has been detected, but there is no rain The planet probably underwent a runaway greenhouse effect 3 10/11/10 Images from Venus The Russian Venera The spacecraft only lasted spacecraft have visited the about an hour due to the surface of Venus extreme temperatures and pressure Surface temperatures of 750K, hot enough to melt More recent spacecraft lead! have mapped the surface Discovered volcanic rocks of Venus from orbit Recent radar map of Venus The surface of Venus seems to be relatively young Lots of volcanic activity resurfaces the planet rapidly Few impact craters, due both to the thick atmosphere and volcanic activity The Surface of Venus Venus has both highlands and lowlands Surface features are named for prominent women in history and mythology Venus is less mountainous than Earth, with more rolling plains Volcanic peaks are present in the highlands Shield Volcanoes Found above hot spots: Fluid magma chamber, from which lava erupts repeatedly through surface layers above All volcanoes on Venus and Mars are shield volcanoes. 4 10/11/10 Interesting features of the surface of Venus Rotation of Venus Of all the planets, Venus spins about its axis the slowest 243 days to complete one rotation Slow rotation creates almost no magnetic field! Rotates opposite the other planets (retrograde rotation) This retrograde rotation cannot be produced by tidal braking Perhaps a collision early in its history tipped its axis 5
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Mt. SAC - ASTR - 5
10/13/11Mars Diameter 1/2 Earthsdiameter Axis tilted againstorbital plane by 25o,similar to Earthsinclination (23.5o)Unit 40 Very thinatmosphere,mostly CO2 Rotation period= 24 h, 40 min. Seasons similar toEarth Growth andshrinking of polar
Mt. SAC - ASTR - 5
10/18/10SaturnThe Interiors of the Gas GiantsMass: ~ 1/3 of mass of JupiterRadius: ~ 16 % smaller than JupiterAv. density:0.69 g/cm3 Would float inwater!Please insert figure 43.3Rotates about as fast as Jupiter, but is twice asoblate No large c
Mt. SAC - ASTR - 5
10/24/10 Pluto and its Moons Pluto is a mix of water ice,rock, methane and frozennitrogen When Pluto is within Neptunesorbit, it has an atmosphere!Ice Worlds, Pluto andBeyond As the planet moves further out into the solar system, theatmosphere
Mt. SAC - ASTR - 5
10/25/10 The Heating of Meteors When a meteoroid (small chunk of rock inspace) travels through the Earthsatmosphere, it begins ionize the atmospherearound it. The vaporized material andionized gas begins to glowImpacts on Earth It is now called a
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11/1/10 The Solar AtmosphereSunsAtmosphere &Sunspots Regions of the Sun abovethe photosphere are calledthe Suns atmosphere Just above the photospherelies the chromosphere Above thechromosphere isthe coronaThe ChromosphereThe Chromosphere (2
Mt. SAC - ASTR - 5
List of Content:All around :A College Text-Book Of Physics - KimballA Guide to Physics Problems Part 1 - Mechanics, Relativity, and Electrodynamics - Cahn S., Nadgorny B.A Guide to Physics Problems. Part 2. Thermodynamics, Statistical Physics, and Qua
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A123456789101112131415161718192021222324252627BDiscount ratePresent valueCDE10%$379.08 <- =NPV(B2,B7:B11)12345012345YearIRRNPVYearGDiscount rateNet present valueCashflow1001001001001007.931% <-
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A12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576BCDEFShare value and anticipa
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A12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667BCDEFGCHAPTER 3 TEMPLATE-JUST TO SAVE YOU SOME TYPINGS
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A12345678910111213141516171819202122232425262728293031323334353637383940BCDEFSETTING UP THE FINANCIAL STATEMENT MODELSales growthCurrent assets/SalesCurrent liabilities/SalesNet fixed assets/SalesCosts of
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Page 90A1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859BCFARMERS BAGELS, INC.Financial Results for First Two Years of Existence1
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Page 102Misleading analysis: This is the analysis of the first section of the chapterAsset costInterest rateLease rental paymentAnnual depreciationTax rateNPV(leasing)NPV(buying)540,00012%130,00090,00038%these numbers are copiedfrom the nex
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ABCDEFGHIJKLBASIC LEVERAGED LEASE EXAMPLECost of assetLease termResidual valueEquityDebtInterestAnnual debt paymentAnnual rent receivedTax rateYear1,000,00015300,000200,000800,000 15-year term loan, equal payments of interest an
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UN-5BAMonth0123456789101112BCStock pricesStock AStock B25.0045.0024.1244.8523.3746.8824.7545.2526.6250.8726.5053.2528.0053.2528.8862.7529.7565.5031.3866.8736.2578.5037.1378.0036.8868.23DEFGHIJCALCULATI
MIT - BUSINESS - 201
UN-6AA1234567891011121314151617181920BCDEFGHRETURN DATA FOR VARIANCE-COVARIANCE CALCULATIONS1974197519761977197819791980198119821983AMR-0.35050.70830.7329-0.20340.1663-0.26590.0124-0.02641.06420.1942BS-0
MIT - BUSINESS - 201
Feasible Port folio0.11Por t f oli o me a n r e t ur n0.10Efficient andenvelope0.090.08Feasible, not efficient0.070.060.050 .00Envelope5.0010.0015.00Port folio st andard deviat ion20.0025.00Finding Envelope Portfolios1200%1000%Por
MIT - BUSINESS - 201
UN-8CA1234567891011121314151617181920212223242526272829303132333435BCDEFGHTHE SECURITY MARKET LINE-A SIMPLE EXAMPLE1974197519761977197819791980198119821983MeanBetaAMR-0.35050.70830.7329-0.20340
MIT - BUSINESS - 201
ABCDEFGHIJKLNO SHORT SALEScMeans8%9%10%11%0.050.030.20.9Ctrl+A works the VBA programwhich calculates efficientportfolios for no-short sales.This program iterativelysubstitutes a constant rangingfrom -3.5% 'till 16% (1/2%jumps)
MIT - BUSINESS - 201
A12345678910111213141516171819202122232425262728293031323334353637MeanSigmaInitial investmentCutoffBCDEFGHI20%30%100809.12% <- =NORMDIST(B6,(1+B3)*B5,B5*B4,TRUE)Data table header:=NORMDIST(B6,(1+B3)*
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Helen's85th Birthdaybingo game!H315978E2326212220L5140504945E5257685655N7570827169Note: The macro which prints new Bingocards works only on the Page 224 file.A1234567891011121314151617181920212223
MIT - BUSINESS - 201
Call Option Payoff PatternsTime 0Time TTerminal call payoff,Max[ST - X,0] > 0Purchase call option,cash flow < 0Cash flowsof call buyerBetween times 0 and T:Cash flow = 0 for European optionCash flow > 0 for American optionPay terminal call pay
MIT - BUSINESS - 201
UN-11CA12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152BCDEFGHIJKTWO-DATE BINOMIAL OPTION PRICINGUpDown10%-3%Initial stock priceInterest r
MIT - BUSINESS - 201
STOCK PRICE DATE, DAILY, 26OCT98-25OCT99DateSP500AbbottFordKelloggMicrosoft ATT26-Oct-98 1072.32 44.895348.646 32.985292.3754427-Oct-98 1065.34 44.2795 49.1301 32.4983 92.4375 44.687528-Oct-98 1068.09 45.3264 49.8237 31.8897 92.68754329-Oct-
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UN-13BA123456789101112131415161718192021222324252627282930313233BCDEFGHIJKBlack-Scholes Option-Pricing FormulaSXrTSigma25 Current stock price25 Exercise price6.00% Risk-free rate of interest0.5 Time to
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A123456789101112131415161718192021222324252627282930313233343536373839404142BCDEFGHIJTHE OPTION TO EXPANDYearCF of single machine0-1000Discount rate for machine cash flowsRiskless discount rateNPV
MIT - BUSINESS - 201
ABCDEFGHIJBlack-Scholes option pricing formulaSXrTSigmad1d250 Current stock price50 Exercise price10.00% Risk-free rate of interest1 Time to maturity of option (in years)25% Stock volatility0.5250 <- (LN(S/X)+(r+0.5*sigma^2)*T)/(sig
MIT - BUSINESS - 201
UN-11IA12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485
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UN-15BA1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556BCDEFGHBASIC DURATION CALCULATIONYTMYear123456789107%Ct,A707070
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UN-16CA1234567891011121314151617181920212223242526272829303132333435363738394041424344454647BCDEFGHIBASIC IMMUNIZATION EXAMPLE WITH 3 BONDSYield to maturity6%Coupon rateMaturityFace valueBond
MIT - BUSINESS - 201
McCULLOGH'S TERM STRUCTURE DATA SETDate1.19802.19803.19804.19805.19806.19807.19808.19809.198010.198011.198012.19801.19812.19813.19814.19815.19816.19817.19818.19819.198110.198111.198112.19811.19822.19823.19824.19825.19826.198
MIT - BUSINESS - 201
UN-new chapter 17, AA1234567891011BCDEFEXPECTED RETURN ON A ONE-YEAR BONDWITH AN ADJUSTMENT FOR DEFAULT PROBABILITYFace value, FPrice, PAnnual coupon rate, QNondefault probability, Recovery percentage, Expected cash flowExpected
MIT - BUSINESS - 201
UN-17BABCDEFGHIJKTcMrPayments per yeargDuration-continuous timeL27%256.0%41.256897 <- =(c_/r_*(1-EXP(-r_*(M-T_)+EXP(-r_*(M-T_)/(c_/0.08*(1-EXP(-0.08*(M-T_)+EXP(-0.08*(M-T_)13.32712 <- =(EXP(r_)*(-c_+c_*EXP(M*r_)-c_*M*r_+M*r_^2)/(
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Page 432A1234567891011121314150.56430.92190.47250.72770.80050.01280.97480.41280.9670B0.85070.52730.88680.10370.18460.02580.05440.59690.1379CDE0.50780.01300.83450.35170.48280.32060.62440.19990.02120.8786 <- R
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UN-19J1234567891011121314151617181920212223242526ACF1Growth rateDiscount rateYearCash flowNPVIRRBC23410%15%0-1150.00DE=C6*(1+$B$2)1234.002257.40FGH5342.606376.86IJ=D6*(1+$B$2)3283.144311.4574
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UN-20EABC12345 Matrix A (a row vector)234678910 Matrix D (a 4 x 3 matrix)13-8-311-810-112-3-11113013314DEFGHIMATRICES IN EXCELMatrix B (a square 3 x 3 matrix)13-8-3-810-1-3-111Matrix C(a columnvector)13
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UN-21AA123456789101112131415BCDEFGHGAUSS-SEIDEL METHOD-SOLUTION BY ITERATIVE SUBSTITUTIONy=(E4-2)/4x050.753.8750.46875 4.2968750.5742188 4.13867190.534668 4.1979980.5494995 4.17575070.5439377 4.18409350.5460234 4.18096
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UN-22BA1234567891011121314BCDEFGEXCEL'S NPV FUNCTIONDiscount rateYearCash flowNPV10%0-100135233334425516334425516$11.65 <- =NPV(B3,C5:G5)+B5EXCEL'S IRR FUNCTIONYearCash flowIRR0-10013523315.00% <- =
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ABCDEFG1 AUTO FILL/COPY212325 <- B3+3435465768798101112 Double-clicking on the "fill handle" of a cell will fill in the rest of the column13 provided there's a filled cell next to it.A123PUTTING LINE BREAKS IN CELLSThis
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A123456BCDEFGHIJKFunctions in ActionParameterFunction11.25#MACRO? <- =Function1(B3)Placing the cursor on a cell with a small red triangle in the corner willshow you the source code of the function used in the cell.To edit the code
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A1234567891011121314151617181920212223242526272829303132BCDEFGHIJKFunctions In ActionParameter Function1.1667 #MACRO? <- =Function1(A4)1.1667 #MACRO? <- =Function2(A5)1.16666 #MACRO? <- =Function1(A6)1.1666
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AB123ActivecellDemo()4ActivecellDemo1()CDEFGHIJActivecell Macros in this Workbook5Placing the cursor on a cell with a small red triangle in the cornerwill show you the source code of the Macro or FunctionTo edit the code you may press
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UN-15I2.6T erm Structures, 19482.42.2Pur e discount r a t e %21.81.61.41.210.80mo 1mo 2mo 3mo 4mo 5mo 6mo 9mo1yrMat urit y2 yr3yr4yr5yr10yr 15yr 20yrUN-15J18T erm Structures, 19811716Pur e discount r a t e, %1514131211109
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