Kepler’s Laws (see video)

Slides:



Advertisements
Similar presentations
Newton’s Law of Universal Gravitation
Advertisements

Newton’s Law of Universal Gravitation.  Any two objects exert a gravitational force of attraction on each other. The magnitude of the force is proportional.
1.3 GRAVITATION AND SATELLITES. There is a mutual force of attraction between any two objects that is directly proportional to each of the masses, 5 kg.
Chapter 13: Gravitation. Newton’s Law of Gravitation A uniform spherical shell shell of matter attracts a particles that is outside the shell as if all.
Chapter 4 Making Sense of the Universe: Understanding Motion, Energy, and Gravity.
Click on one of the following icons to go to that resource.
Chapter 4 Making Sense of the Universe: Understanding Motion, Energy, and Gravity.
Chapter-5: Circular Motion, the Planets, and Gravity Circular Motion: Centripetal acceleration Centripetal force Newton’s law of universal gravitation.
Circular Motion Tangential & Angular Acceleration
Physics 111: Mechanics Lecture 13
Physics I Honors 1 Specific Forces Fundamental Forces Universal Gravitation.
Kepler’s first law of planetary motion says that the paths of the planets are A. Parabolas B. Hyperbolas C. Ellipses D. Circles Ans: C.
Essential Idea:  The Newtonian idea of gravitational force acting between two spherical bodies and the laws of mechanics create a model that can be.
The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.
Newton’s Law of Universal Gravitation
More on Kepler’s Laws. Can be shown that this also applies to an elliptical orbit with replacement of r with a, where a is the semimajor axis. K s is.
Circular Motion and Oscillations. Useful information Link to specification. specification.pdf
Orbits Objectives: (i) analyse circular orbits in an inverse square law field by relating the gravitational force to the centripetal acceleration it causes;
Orbital motion Aims O Use Newton’s cannonball analogy O State Kepler’s third law O Derive Keplers third law O Describe geostationary orbits.
Newton’s Law of Universal Gravitation
Newton’s Universal Law of Gravitation
Universal Gravitation. Paths of Satellites around Earth
1 SATELLITESSATELLITES 2 Newton’s Law of Gravitation M1M1 M2M2 r F F.
17-1 Physics I Class 17 Newton’s Theory of Gravitation.
Proportionality between the velocity V and radius r
CHAPTER 5. Uniform circular motion is the motion of an object traveling at a constant speed on a circular path. If T (period) is the time it takes for.
Chapter 6 - Gravitation Newton’s Law of Gravitation (1687)
LAW OF UNIVERSAL GRAVITATION F G gravitational force (in two directions) G universal gravitation constant 6.67x Nm 2 kg -2 r distance between the.
Newton’s Universal Law of Gravitation Chapter 8. Gravity What is it? The force of attraction between any two masses in the universe. It decreases with.
Gravitation Reading: pp Newton’s Law of Universal Gravitation “Every material particle in the Universe attracts every other material particle.
What is gravity? GalileoGalileo and Newton gave the name Newton GalileoNewton gravity to the force that exists between the Earth and objects. Newton showed.
P5 – Space for reflection Lesson 1 – circular motion.
Universal Gravitation Ptolemy (150AD) theorized that since all objects fall towards Earth, the Earth must be the center of the universe. This is known.
1 The law of gravitation can be written in a vector notation (9.1) Although this law applies strictly to particles, it can be also used to real bodies.
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.
Newton’s Law of Universal Gravitation by Daniel Silver AP Physics C
Syll. State.: —due Friday, October 3
College Physics, 7th Edition
Satellites Dynamics lesson 4.
Newtonian Physics – 10 Mr. Jean
Newton’s Universal Law of Gravitation
Kepler’s Laws of Orbital Motion
Chapter 12 Gravity.
Universal Law of Gravitation
Gravitation.
Newton’s Laws of Motion
What is gravity? Galileo and Newton gave the name
Circular Motion Chapter 12.
Circular Motion.
4.2 Fields Gravitation Breithaupt pages 54 to 67 September 20th, 2010.
Universal Law of Gravitation
Ch6: Gravitational Fields
Gravitational Fields.
Newton’s Law of Universal Gravitation
Chapter-5: Circular Motion, the Planets, and Gravity
Earth’s motion.
Universal Gravitation
Universal Gravitation
Gravitational Fields, Circular Orbits and Kepler
Newton’s Universal Law of Gravitation
Forces.
Gravitation See video on extreme sports --- defying gravity
Revolution vs. Rotation
Chapter 2 - Part 1 The two body problem
Gravitation and Satellites
Kepler’s 3rd Law Examples
Gravitational Fields, Circular Orbits and Kepler’s Laws
Kepler’s Laws and Universal Gravitation
Presentation transcript:

Kepler’s Laws (see video) The square of the period of a planet’s orbit is directly proportional to the cube of its mean distance from the Sun.

Satellite motion If an orbiting satellite had a period of 24 hours, and you saw it overhead at, say 10.00 am, when would you next see it overhead? Geosynchronous

Satellite motion If you wanted the satellite to remain directly overhead (i.e. above a fixed point on the Earth) at all times (not just once per day) where on the Earth would you have to be? Geostationary

Geostationary Satellites Period of orbit must be the same as the Earth Orbit must be directly above the equator Must rotate in the same sense as the Earth

Gravitational Field vs Electric Field Definition of field strength Units Uniform field Vector forces