Examples from the Real World. Satellite and Planet Orbits Kepler's first law of planetary motion is: The path of each planet is an ellipse with the sun.

Slides:



Advertisements
Similar presentations
BY:-NEERAJ CHAURASIA PGT (MATHS) KENDRIYA VIDYALAYA DIBRUGARH (ASSAM)
Advertisements

§ 10.2 The Ellipse.
Conics with Patty Paper and GeoGebra Ann Schnurbusch Southeast Missouri State University.
Early Astronomers & Planetary Motion
TH EDITION LIAL HORNSBY SCHNEIDER COLLEGE ALGEBRA.
Conic Sections. Four conic sections: Circles Parabolas Ellipses Hyperbolas A plane intersecting a double cone will generate: ParabolaCircleEllipseHyperbola.
18-1 Physics I Class 18 Newton’s Theory of Gravitation.
Kepler’s Laws Of Planetary Motions. Introduction Kepler’s three laws are empirical - they describe a phenomenon without explaining why it occurs. Kepler.
Satellite Motion.
Conic Sections ©Mathworld Circle The Standard Form of a circle with a center at (h,k) and a radius, r, is…….. center (0,0) radius = 2 center (3,3) radius.
College Algebra Fifth Edition James Stewart Lothar Redlin Saleem Watson.
Conic Sections Ellipse The Sequal. Deriving the Formula Consider P at (0, b)  Isosceles triangle  Legs = a And a a.
The Solar System Planetary Orbits
CONIC SECTIONS. Ellipse Though not so simple as the circle, the ellipse is nevertheless the curve most often "seen" in everyday life. The reason is that.
Conic Sections ©Mathworld Circle ©National Science Foundation.
Opening for today… Kepler’s Laws of Planetary Motion Objective: Students will explain planetary motion using gravitational laws.
Kepler’s 1 st Law of Planetary Motion. 1. The orbits of the planets are ellipses, with the Sun at one focus of the ellipse. The Sun is not at the center.
9.1.2 – Applications of Ellipses, Other Information.
Read pages: Explain each of Kepler’s 3 laws of planetary motion. 2. What is eccentricity and orbital period? 3. How did Newton’s ideas about.
Kepler’s three laws Kepler’s three laws explain how planets orbit around the sun. These laws are common to any body orbiting around a massive body.
Kepler’s Laws of planetary motion. Ellipse lab. Tycho Brahe Tycho Brahe was a Danish astronomer who is best known for the astronomical observations which.
10 – 4 Ellipses. Ellipse Center (0, 0) Writing an Equation What is an equation in standard form of an ellipse centered at the origin with vertex.
Conic Sections ©Mathworld Circle ©National Science Foundation.
Copyright © 2012 Pearson Education Inc. Orbital motion, final review Physics 7C lecture 18 Thursday December 5, 8:00 AM – 9:20 AM Engineering Hall 1200.
Kepler’s Laws of Planetary Motion. Objectives Describe Kepler’s Laws of Planetary Motion Relate Kepler’s Laws to Newton’s Laws Prove Kepler’s 3 rd law.
Albireo: The Boy Scout star Chapter 5: Binary stars and stellar masses.
Conic Sections.
Conic Sections ©Mathworld Circle ©National Science Foundation.
17-1 Physics I Class 17 Newton’s Theory of Gravitation.
Conic Sections Conic sections are the intersection of a plane with a double cone: Circles, Parabolas, Ellipses & Hyperbolas.
Introduction to Conic Sections
Conics THE MATHEMATICS AND APPLICATIONS BY TERRELL HAUGHTON.
Kepler’s Laws of planetary motion Newton’s law of universal gravitation Free fall acceleration on surface of a planet Satellite motion Lecture 13: Universal.
Kepler’s Laws of Planetary Motion © David Hoult 2009.
Stable Orbits Kepler’s Laws Newton’s Gravity. I. Stable Orbits A. A satellite with no horizontal velocity will __________________. B. A satellite with.
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Kepler’s Law Eric Angat teacher. Orbit Eccentricity The eccentricity of an ellipse can be defined.
Newton’s Law of Universal Gravitation && Kepler’s Laws of Planetary Motion.
Kepler’s Laws of Planetary Motion STARTER 2 In an elliptical planetary orbit, the sun is a. at the center of the ellipse. b. on the ellipse at the intersection.
Section Orbital Motion of Satellites and Kepler’s Laws
Geometry of Earth’s Orbit Kepler’s Laws of Planetary Motion.
Chapter 8 – Universal Gravitation
Do Now 1. What is the big bang theory? 2. What is some evidence to support the big bang theory? 3. What is a red shift and what does that tell us about.
4.2 Gravity and Kepler’s Solar System p Falling Objects The Moon in Free Fall Newton understood that the Moon was in free-fall around the Earth.
Topic: Planetary Motion PSSA: D/S8.D.3.1. Objective: TLW differentiate between rotation and revolution. TLW differentiate between rotation and revolution.
Laws of Planetary Motion KEPLER & NEWTON. Kepler’s 3 Laws  1 st Law- Law of Ellipses  2 nd Law- Law of Equal Areas  3 rd Law- Law of Periods.
Bell Ringer What celestial body is at the center of our solar system? What is celestial body or bodies has the farthest orbit in our solar system? What.
EARTH & SPACE SCIENCE Chapter 27 Planets of the Solar System 27.2 Models of the Solar System.
Solar System – Activity 3. What is a satellite? What is the satellite in this model? What is an orbit? What does the ball orbit around in this model?
Satellite Motion Satellite – a projectile moving fast enough to fall continually around the Earth rather than into it - the Earth surface drops a vertical.
Physics Section 7.3 Apply Kepler’s Laws of Planetary Motion The Polish astronomer Nicolas Copernicus was the first to correctly place the sun at the center.
Conic Sections By: Kinsley Driver.
Kepler’s laws of planetary motion
Kepler’s Laws of Planetary Motion
The Circle and the Ellipse
ELLIPSE A circle under stress!.
Kepler’s Laws Of Planetary Motions.
3.2 Gravity and Kepler’s Solar System
Newton’s Law of Universal Gravitation
Conic Sections Ellipse The Sequal.
Conic Sections.
Do Now We will be starting with a Kepler’s Law Review today
Conic Sections Conic sections are lines that define where a flat plane intersects with a double cone, which consists of two cones that meet at one another’s.
Physics of the Solar System
Kepler’s Laws of Planetary Motion
Add to table of Contents:
Johannes Kepler Tycho Brahe Kepler’s 3 laws of planetary motion:
THE EARTH, THE MOON & THE SUN
Kepler’s Laws of Planetary Motion
Presentation transcript:

Examples from the Real World

Satellite and Planet Orbits Kepler's first law of planetary motion is: The path of each planet is an ellipse with the sun at one focus.

Whispering Galleries -- in the old House of representatives Statuary Hall in the U.S. Capital building is elliptic. It was in this room that John Quincy Adams, while a member of the House of Representatives, discovered this acoustical phenomenon. He situated his desk at a focal point of the elliptical ceiling, easily eavesdropping on the private conversations of other House members located near the other focal point.

Whispering Galleries -- Mormon tabernacle The Mormon Tabernacle in Salt Lake City has an elliptical ceiling. You can hear a pin drop from 175 feet away. The Tabernacle is 250 feet long, 150 feet wide, and 80 feet high. The organ has 11,623 pipes!

Elliptical Pool Table The reflection property of the ellipse is useful in elliptical pool -- if you hit the ball so that it goes through one focus, it will reflect off the ellipse and go into the hole which is located at the other focus.

The Ellipse in D.C. The Ellipse near the White House in Washington, DC is aptly named.