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Astronomy 114 Introduction Martin D. Weinberg [email protected] UMass/Astronomy Department A114: Lecture 1—29 Jan 2007 Astronomy 114—1/16

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Page 1: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Astronomy 114

Introduction

Martin D. Weinberg

[email protected]

UMass/Astronomy Department

A114: Lecture 1—29 Jan 2007 Astronomy 114—1/16

Page 2: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (1/4)

What is Astronomy?

Story of our understanding of the Universe

By the end of the course, we will have traveledthrough the solar system, the Galaxy, clusters ofgalaxies to the beginning of the Universe.

A114: Lecture 1—29 Jan 2007 Astronomy 114—2/16

Page 3: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (1/4)

What is Astronomy?

Story of our understanding of the Universe

By the end of the course, we will have traveledthrough the solar system, the Galaxy, clusters ofgalaxies to the beginning of the Universe.

Objectives

Organization of the Universe

Principal components that create this organization

Scientific method: how we try overcome humanperceptual limitations to figure this out

A114: Lecture 1—29 Jan 2007 Astronomy 114—2/16

Page 4: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (2/4)

Scale of the Universe

Sun = basketball

Earth = marble at a few hundred feet

Nearest star = about 10000 miles away (Tokyo)

Center of the Milky Way = 10000 times the neareststar or 100,000,000 miles away

Nearest Galaxy = 1000 times distance to center ofMilky Way 100,000,000,000 miles away

A114: Lecture 1—29 Jan 2007 Astronomy 114—3/16

Page 5: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (3/4)

Human biases

Cosmic length scales—very large compared tohuman size

Cosmic time scales—very long compared to humanlifetime

Cosmic events at many wavelengths—humans havelimited sensitivity to the electromagnetic spectrum

A114: Lecture 1—29 Jan 2007 Astronomy 114—4/16

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Overview (4/4)

Three encompassing topics

Motions, Light and Gravity

Stars

Galaxies & Cosmology

A114: Lecture 1—29 Jan 2007 Astronomy 114—5/16

Page 7: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (4/4)

Three encompassing topics

Motions, Light and Gravity

Stars

Galaxies & Cosmology

Text book: Universe by Freedman &Kauffman

A114: Lecture 1—29 Jan 2007 Astronomy 114—5/16

Page 8: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (4/4)

Three encompassing topics

Motions, Light and Gravity

Stars

Galaxies & Cosmology

Text book: Universe by Freedman &Kauffman

My role is to help you understand.Please ask questions!!

A114: Lecture 1—29 Jan 2007 Astronomy 114—5/16

Page 9: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (4/4)

Three encompassing topics

Motions, Light and Gravity

Stars

Galaxies & Cosmology

Text book: Universe by Freedman &Kauffman

My role is to help you understand.Please ask questions!!

Designed for science majors . . .

A114: Lecture 1—29 Jan 2007 Astronomy 114—5/16

Page 10: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Overview (4/4)

Three encompassing topics

Motions, Light and Gravity

Stars

Galaxies & Cosmology

Text book: Universe by Freedman &Kauffman

My role is to help you understand.Please ask questions!!

Designed for science majors . . .

Web site:http://www.astro.umass.edu/˜weinberg/a114

A114: Lecture 1—29 Jan 2007 Astronomy 114—5/16

Page 11: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (1/3)

Attendance is the single most important way to ensuresuccess in this course.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—6/16

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Requirements (1/3)

Attendance is the single most important way to ensuresuccess in this course.

Reading: Assignments in the text for each class willbe given at the end of the preceding class and arerequired. The relevant chapters are also listed in theSyllabus by subject.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—6/16

Page 13: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (1/3)

Attendance is the single most important way to ensuresuccess in this course.

Reading: Assignments in the text for each class willbe given at the end of the preceding class and arerequired. The relevant chapters are also listed in theSyllabus by subject.

Exams: Two in-class one-hour exams (each 20% ofthe final grade) and one final exam with two parts:last unit and cumulative. Each part worth 20%.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—6/16

Page 14: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (2/3)

Makeup exam policy: Makeup exams will be given onlyfor documented medical or family emergencies or byprior arrangement.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—7/16

Page 15: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (2/3)

Makeup exam policy: Makeup exams will be given onlyfor documented medical or family emergencies or byprior arrangement.

Homework: There will be (roughly) weekly homeworkassignments worth 20% of the final grade.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—7/16

Page 16: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (2/3)

Makeup exam policy: Makeup exams will be given onlyfor documented medical or family emergencies or byprior arrangement.

Homework: There will be (roughly) weekly homeworkassignments worth 20% of the final grade.

Extra credit: There is none.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—7/16

Page 17: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (3/3)

Grades will be assigned on a modified straight scale.Scores will be adjusted upward if the exam is toohard.

92% A

87% AB

82% B

77% BC

72% C

67% CD

60% D

2 topic exams 40%

1 topic exam at final 20%

1 cumulative exam at final 20%

Homeworks 20%

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—8/16

Page 18: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Requirements (3/3)

Grades will be assigned on a modified straight scale.Scores will be adjusted upward if the exam is toohard.

92% A

87% AB

82% B

77% BC

72% C

67% CD

60% D

2 topic exams 40%

1 topic exam at final 20%

1 cumulative exam at final 20%

Homeworks 20%

Academic Honesty is expected of all scientists, andalso of all students of science.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—8/16

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Scientific Notation (1/5)

The numbers encountered in this class are astronomical:

The nearest star is 41,000,000,000,000 kilometersaway

The mass of the sun is2,000,000,000,000,000,000,000,000,000,000,000grams

Scientists have devised a more compact notation fordealing with such numbers called scientific notation.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—9/16

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Scientific Notation (2/5)

41,000,000,000,000 kilometers

2,000,000,000,000,000,000,000,000,000,000,000grams

There are really only two important parts to each of thenumbers:

1. The leading digits – which establish the precision ofthe number itself

2. The number of digits – which sets the size ormagnitude of the number

In Scientific notation:

4.1×1013 and 2.0×1033

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—10/16

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Scientific Notation (3/5)

The “×" is, as it appears, a multiplication:

102 = 10 × 10 = 100

103 = 10 × 10 × 10 = 1,000

104 = 10 × 10 × 10 × 10 = 10,000

105 = 10 × 10 × 10 × 10 × 10 = 100,000

106 = 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000

so 4.5×104 = 4.5 × 10 × 10 × 10 × 10 = 45,000.

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—11/16

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Scientific Notation (4/5)

Counting zeros and moving the decimal place is aconvenient way of carrying out the multiplication bypowers of tenExample:

Want: 103× 105

103× 10

5= 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10

8

The result of that long string of multiplication is that weadd the exponents of the 10’s: 3+5=8

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—12/16

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Scientific Notation (5/5)

Addition a bit more tricky:

103+10

5= 10×10×10 + 10×10×10×10×10 = 1.01×10

5

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—13/16

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Scientific Notation (5/5)

Addition a bit more tricky:

103+10

5= 10×10×10 + 10×10×10×10×10 = 1.01×10

5

or

1, 000 + 100, 000 = 101, 000 = 1.01 × 105

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—13/16

Page 25: Astronomy 114 - UMass Amherstastro.umass.edu/~weinberg/a114/lectures/lec01.pdf · Astronomy 114 Introduction Martin D. Weinberg weinberg@astro.umass.edu ... Text book: Universe by

Scientific Notation (5/5)

Addition a bit more tricky:

103+10

5= 10×10×10 + 10×10×10×10×10 = 1.01×10

5

or

1, 000 + 100, 000 = 101, 000 = 1.01 × 105

or

0.01 × 105+ 1.0 × 10

5= 1.01 × 10

5

Rule: add the prefix (mantissa) when power of ten(exponent) for the addends is the same

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—13/16

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Metric Prefixes

10−15 femto-10−12 pico-10−9 nano-10−6 micro-10−3 milli-10−2 centi-10−1 deci-10 deka-102 hecto-103 kilo-106 mega-109 giga-1012 tera-1015 peta-

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—14/16

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Measuring distance

Distance in meters (m)

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—15/16

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Energy Output

Energy Source Total Energy (J)

Big Bang 1068

Radio galaxy 1055

Supernova 1046

Sunlight (1 y) 1034

Volcanic explosion 1019

H-bomb 1017

Thunderstorm 1015

Lightning flash 1010

Baseball pitch 102

Typing (per key) 10−2

Flea hop 10−7

A114: Lecture 1—29 Jan 2007 Read: Ch. 1-2 Astronomy 114—16/16