Kepler’s Laws Newton’s Law of Universal Gravitation was based on the work of Johannes Kepler.

Slides:

Advertisements

Similar presentations

UCM & Gravity – Kepler’s Laws

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.

Kepler’s Law Eric Angat teacher. The Big Bang Theory ( universe)

Announcements Homework 3 due Monday Test next week: Wednesday or Thursday (your choice); at SL 228 testing center; one hour time limit; no calculators;

Models of the solar system (Ch.29.1). 1 st model of the solar system Aristotle (300’s BC) said solar system was geocentric.

Chapter 7: Circular Motion and Gravitation

SATELLITE MOTION. -Continuously falls towards the earth. -Are launched to a position above the earths surface to avoid air resistance. -Escape speed is.

Section 7–3: Motion in Space

Circular Motion; Gravitation

MARS JOHANNES KEPLER THE SOLAR SYSTEM LAWS OF PLANETARY MOTION.

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.

Chapter 5 Dynamics of Uniform Circular Motion. Circular Motion If the acceleration is in the same direction as the velocity i.e., parallel to the velocity,

16 世纪～ 17 世纪初，出了一位是丹麦的观测家第谷，他是个超群出众的观测家，他用自制的精确仪器辛勤地观测了 20 年，取得了关于行星运动的大量数据。（ 1546 ～ 1601 ）第谷.

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.

The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

Universal Gravitation. Brief Astronomical History A.D Ptolemy Greek Astronomer A.D. Believed in Geo- centrism First to latitude and longitude.

Newton’s Law of Universal Gravitation

Satellite Motion Kepler’s law. Satellite Motion A satellite is often thought of as being a projectile which is orbiting the Earth. 1.How can a projectile.

Planetary Motion It’s what really makes the world go around.

In 1543 Copernicus published On the Revolutions of the Heavenly Spheres in which he proposed that Earth and the other planets orbit the sun in perfect.

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.

Johannas Kepler Johannas Kepler Planetary Orbital Laws Planetary Orbital Laws.

Kepler’s Law Eric Angat teacher. The Big Bang Theory ( Universe)

In this chapter you will:  Learn the nature of gravitational force.  Relate Kepler’s laws of planetary motion to Newton's laws of motion.  Describe.

Kepler’s Laws 1. The orbits of the planets are ellipses, with the sun at one focus of the ellipse. 2. The line joining the planet to the sun sweeps out.

EARTH & SPACE SCIENCE Chapter 27 Planets of the Solar System 27.2 Models of the Solar System.

Universal Gravitation. Paths of Satellites around Earth

Monday, February 17th Copy equations from notes onto your own paper. Also, copy any other information you think you might need as you go through this power.

17-1 Physics I Class 17 Newton’s Theory of Gravitation.

SUMMARY Kepler’s 3 laws (pages 3-4-5) Illustration of Kepler’s laws (page 6) Newton’s law of universal gravitation (pages 7-8)Newton’s law of universal.

Chapter 6 - Gravitation Newton’s Law of Gravitation (1687)

PLANETARY ORBITS Chapter 2. CONIC SECTIONS PLANETARY GEOMETRY l Definition of a Circle äA Circle is a figure for which all points on it are the same.

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.

Circular Motion Chapter 9.

Nicolaus Copernicus Tycho Brahe Johannes Kepler

Kepler’s Laws of Planetary Motion - 3 Laws -. Elliptical Orbits Planets travel in elliptical orbits with the sun at one focus. Furthest point = Aphelion.

Kepler’s Law Eric Angat teacher. Orbit Eccentricity The eccentricity of an ellipse can be defined.

NEXT Gravity and the Solar System Properties of Planets Gas Giants Terrestrial Planets Word!

Section Orbital Motion of Satellites and Kepler’s Laws

Geometry of Earth’s Orbit Kepler’s Laws of Planetary Motion.

IB Physics 12 Mr. Jean September 23 rd, The plan: Video clip of the day – 0xshttps://

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.

Universal Gravitation Newton’s 4 th law. Universal Gravitation Kepler’s Laws Newton’s Law of Universal Gravity Applying Newton’s Law of Universal Gravity.

EARTH & SPACE SCIENCE Chapter 27 Planets of the Solar System 27.2 Models of the Solar System.

Satellite Motion Satellite – a projectile moving fast enough to fall continually around the Earth rather than into it - the Earth surface drops a vertical.

1.1.1c.  Through observations, Newton realized that any two bodies attract each other with a force that depends on their masses and the distance between.

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.

Gravitation Chapter 7. Kepler’s Laws  In the 1600s Johannes Kepler proposed three laws of planetary motion based on observational data. The laws are:

Warmup Why is “space” called “space”? How did our solar system form?

Orbital Geometry.

Newton’s Law of Universal Gravitation

Newton’s Law of Gravity

Kepler’s Laws of Planetary Motion Newton’s Laws of Gravity

Kepler’s Laws 1. Planets have an elliptical orbit

7.3 Kepler’s Laws.

MARS JOHANNES KEPLER THE SOLAR SYSTEM LAWS OF PLANETARY MOTION.

Kepler’s Three Laws.

LESSON 12: KEPLER’S LAWS OF PLANETARY MOTION

Nicolaus Copernicus Johannes Kepler Tycho Brahe

Kepler’s Laws of Planetary Motion

After Tycho Brahe’s death, Johannes Kepler (pictured here with Tycho in the background) used Tycho’s observations to deduce the three laws of planetary.

Kepler’s Laws Ms. Jeffrey- Physics.

MARS JOHANNES KEPLER THE SOLAR SYSTEM LAWS OF PLANETARY MOTION.

Kepler’s Laws of Planetary Motion

Label it as completely as possible.

Kepler’s Laws and Universal Gravitation

Presentation transcript:

Kepler’s Laws Newton’s Law of Universal Gravitation was based on the work of Johannes Kepler.

Kepler’s 3 laws: 1.Planets move in elliptical orbits with the sun at one focus.

Kepler’s 3 laws: 2.A line joining the sun and a planet sweeps out equal areas in equal times Note: this means that planets must travel faster when it is near the sun, and slower when it is farthest

Kepler’s 3 laws: 3.The following ratio is the same for all the planets or satellites which orbit around the same central body Where R = radius of orbit (metres or astronomical units) And T = period of orbit Note: 1 AU = average radius of Earth orbit = 1.49 x m Click here for more info on AUhere

*K sun = = 3.35 x m 3 /s 2 All objects orbiting the sun have this ratio of radius cubed to period squared.

Sample 1: How fast in m 2 /s is an area being swept out by a line joining the Earth and the sun?

Sample 2: A planet in our solar system has a period of revolution of 7.6 x 10 6 seconds. Find the radius of the planet’s orbit and identify the planet from the table in the booklet.

K sun = The planet is Mercury

Sample 3: Mars has a radius of orbit of 1.52 astronomical units, and revolves around the sun once every 690 days. If Venus has an orbit of radius of 0.72 AU, how long does it take Venus to go around the sun?

Read textbook pages 217 – 220 for more info on Kepler’s Laws.