Michael Pavolonis (NOAA/NESDIS/STAR) and Justin Sieglaff (CIMSS)
PHYS-1600/2000PHYS-1600/2000 II7 Gravity and Orbital MotionNEBRASKA WESLEYAN UNIVERSITYFALL...
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Transcript of PHYS-1600/2000PHYS-1600/2000 II7 Gravity and Orbital MotionNEBRASKA WESLEYAN UNIVERSITYFALL...
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 151
How much less do you weigh at the earth's equator than if you were standing at the north or south pole?
Assume a spherical earth with radius R = 6400 km, and one rotation per day.
Enter your answer as a decimal, a fraction of your weight at the north pole, to 3 places after the decimal.
For example, if your weight would be 150 lbs at the pole but 135 lbs at the equator, your answer would be 135/150 = 0.900
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 152
ANNOUNCEMENTS
ITEM DURATION START
Introductory Concept Survey (Individual) 0:10 0:00
Calculating Gravity Force and Circular Orbit Speed 0:30 0:10
Geostationary Orbit Radius 0:20 0:40
Fun Facts about Orbits 0:20 1:00
Orbital Trajectories 0:20 1:20
Survey Re-vote (Group Discussion Mode) 0:10 1:40
Dismissal 1:50
AGENDA
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 153
1 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The magnitude of the gravity force acting upon B is
1. Four times that acting upon A.2. Twice that acting upon A.3. Equal to that acting upon A.4. Half that acting upon A.5. One-quarter that acting upon A.
Earth
A B
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 154
2 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The speed of B is
1. Twice that of A.2. Less than twice that of A, but greater than that of A.3. Equal to that of A.4. Less than that of A, but more than half that of A.5. Half that of A.
Earth
A B
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 155
3 of 3Consider an astronaut aboard the International Space Station. The astronaut weighs:
1. The same as on Earth.2. Somewhat greater than on Earth.3. Somewhat less than on Earth (but greater than zero Newtons).4. Zero Newtons.
Name: Anousheh AnsariNationality: IranianBorn: 1966Mission: Soyuz TMA-9/ISS, 20 Sep 2006Notes: 1st Iranian in space
4th self-funded space participantB.S. Engineering, George Mason U.M.S. Engineering, George Wash. U.Created, sold telecom company for $550 million US.
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 156
ANNOUNCEMENTS
• Track ISS at http://spaceflight.nasa.gov/realdata/tracking/• Track satellites at http://science.nasa.gov/realtime/jtrack/3d/JTrack3D.html/
ITEM DURATION START
Introductory Concept Survey (Individual) 0:10 0:00
Calculating Gravity Force and Circular Orbit Speed 0:30 0:10
Geostationary Orbit Radius 0:20 0:40
Fun Facts about Orbits 0:20 1:00
Orbital Trajectories 0:20 1:20
Survey Re-vote (Group Discussion Mode) 0:10 1:40
Dismissal 1:50
AGENDA
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15
2R
MmGFg
M
m
2211 /1067.6 kgmNG
R
R is the distance between centers of gravity
7
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15
2R
MmGFg
Fg Newton’s Universal Law of Gravity obeys Newton’s Third Law of Motion
8
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15
2R
MmGFg
Fg
Newton’s Universal Law of Gravity obeys Newton’s Third Law of Motion
2
2
then
If
R
MGg
mgR
MmGFg
9
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15
gRv
R
GMv
R
vm
R
MmG
R
vmFc
or
2
2
2Fg
path of motion
Circular Orbit Equation
v
10
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1511
II7 Exit Homework Problem #1
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1512
II7 Exit Homework Problem #2
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1513
1 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The magnitude of the gravity force acting upon B is
1. Four times that acting upon A.2. Twice that acting upon A.3. Equal to that acting upon A.4. Half that acting upon A.5. One-quarter that acting upon A.
Earth
A B
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1514
2 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The speed of B is
1. Twice that of A.2. Less than twice that of A, but greater than that of A.3. Equal to that of A.4. Less than that of A, but more than half that of A.5. Half that of A.
Earth
A B
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1515
3 of 3Consider an astronaut aboard the International Space Station. The astronaut weighs:
1. The same as on Earth.2. Somewhat greater than on Earth.3. Somewhat less than on Earth (but greater than zero Newtons).4. Zero Newtons.
Name: Anousheh AnsariNationality: IranianBorn: 1966Mission: Soyuz TMA-9/ISS, 20 Sep 2006Notes: 1st Iranian in space
4th self-funded space participantB.S. Engineering, George Mason U.M.S. Engineering, George Wash. U.Created, sold telecom company for $550 million US.
PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015
DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1516
1 4 1 4 1 4 1 4
2 5 2 5 2 5 2 5
3 3 3 3
PROJECTION SCREEN
II7: HAND IN TODAY’S ACTIVITIES SHEETS
6 6 6 6