Kepler’s Three Laws.

Slides:



Advertisements
Similar presentations
Kepler’s laws.
Advertisements

KEPLER: KEPLER: the laws of planetary motion Physics Chapter 7—Circular Motion KEPLER’S FIRST LAW KEPLER’S SECOND LAW KEPLER’S THIRD LAW INTERESTING APPLETS.
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.
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.
What is rotation? Spinning on an imaginary axis Period of rotation is the time it takes for a planet to make 1 spin on its axis =length of a planet day.
Kepler’s Laws Newton’s Law of Universal Gravitation was based on the work of Johannes Kepler.
Chapter 6 - Gravitation Newton’s Law of Gravitation (1687)
Stable Orbits Kepler’s Laws Newton’s Gravity. I. Stable Orbits A. A satellite with no horizontal velocity will __________________. B. A satellite with.
Nicolaus Copernicus Tycho Brahe Johannes Kepler
Gravitation and the Waltz of the Planets Chapter 4.
Kepler’s Laws & Planetary Motion
Kepler’s Law Eric Angat teacher. Orbit Eccentricity The eccentricity of an ellipse can be defined.
Kepler’s Three Laws of Planetary Motion. YMXtohttp:// YMXto.
Kepler’s Laws 1Each planet’s orbit around the Sun is an ellipse, with the Sun at one focus.
KEPLER’S LAWS OF PLANETARY MOTION Objective: I will summarize Kepler’s three laws of planetary motion. 11/10/15.
Copernicus’s Model  Many scientists believed our Earth was the center of the solar system, this theory is called geocentric  Copernicus first proposed.
Chapter 13 Gravitation & 13.3 Newton and the Law of Universal Gravitation Newton was an English Scientist He wanted to explain why Kepler’s Laws.
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:
Kepler’s Three Laws of Planetary Motion
Warmup Why is “space” called “space”? How did our solar system form?
Orbital Geometry.
Chapter 13 Reading assignment: Chapter
Kepler’s laws of planetary motion
Kepler’s Laws of Motion
Science Starter Kepler’s 1st law states that planetary orbits are _________________ shapes? Kepler’s 2nd law states that 2 equal intervals of time an imaginary.
Newton’s Law of Gravity
22.1 Early Astronomy.
22.1 Early Astronomy.
Sect. 6-5: Kepler’s Laws & Newton’s Synthesis
Kepler and Planetary Motion
Everything in the Solar System is in Motion
Kepler’s Laws: Physics not optional!
Newton’s Law of Universal Gravitation
Kepler’s Laws.
Do Now We will be starting with a Kepler’s Law Review today
Kepler’s Laws of Planetary Motion Copyright 2001 by the Rector and Visitors of the University of Virginia.
Kepler’s Laws 1. Planets have an elliptical orbit
Kepler’s Laws & Planetary Motion
Earth’s Role as a Body in Space
LESSON 12: KEPLER’S LAWS OF PLANETARY MOTION
Kepler’s Laws of Planetary Motion
Orbits Round and round we go!.
Nicolaus Copernicus Johannes Kepler Tycho Brahe
Gravitational Fields, Circular Orbits and Kepler
Aim: How do we compute Eccentricity?
Kepler’s Laws of Planetary Motion
Physics 20 Motion in the Heavens.
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.
Add to table of Contents:
Week 5 Wed. Orbits and Gravity OpenStax Astronomy Ch. 3
The heliocentric solar system
Kepler’s Laws EARTH SCIENCE
Kepler’s Laws of Planetary Motion
Keplerian Motion Lab 3.
Kepler’s laws And Orbital Velocity.
Gravitational Fields, Circular Orbits and Kepler’s Laws
Kepler’s Three Laws of Planetary Motion
8.8 Kepler’s Laws Unit 8: Astronomy May 16, 2012 Sanders.
THE EARTH, THE MOON & THE SUN
Kepler’s Laws.
Kepler’s laws And Orbital Velocity.
Kepler’s Laws of Planetary Motion
Kepler’s Laws and Universal Gravitation
Motion of Objects in Space
Presentation transcript:

Kepler’s Three Laws

Kepler’s First Law The orbit of a planet about the Sun is an ellipse with the Sun at one focus.

Kepler’s First Law Planets revolve around the sun in elliptical orbits with the sun located at one focus of the ellipse + focus center sun planet

Earth’s orbit Terminology Perihelion (P): Sun Terminology Perihelion (P): Earth’s closest point to Sun (January 2nd) d = 147.1 x 106 km Aphelion (A): Earth’s most distant point (July 4th) d = 152.1 x 106 km P 3% variation in Earth’s distance from the Sun

Kepler’s Second Law A line joining a planet and the Sun sweeps out equal areas in equal intervals of time.

Kepler’s Second Law The line from the sun to a planet sweeps out equal areas in equal time intervals. t1 areaA t2 t4 aphelion (slowest) perihelion (fastest) areaB areaA = areaB if t2-t1 = t4-t3 t3

Speed During Orbit ***Slower at Aphelion(Further away) ***Faster at Perihelion(Closer to)

Elliptical path/orbit followed by planet Sun + ◦

Kepler’s Third Law The square of a planet's orbital period is proportional to the cube of the length of its semimajor axis. Or simply… T2 = R3 if T is measured in years and R is measured in astronomical units.

Kepler’s Third Law For any two planets, the ratio of their mean distance from the sun cubed equals the ratio of their orbital periods squared. Planets far from the sun take longer to orbit the sun than do planets nearer the sun.

Kepler's Third Law The greater the distance from the sun, the longer the period of revolution. Mars – 228 mill. Km, 687 days Two reasons: Longer orbits Slower orbital velocities. Earth – 150 mill. Km, 365 days Not drawn to scale.

Kepler’s Laws Planets move on elliptical orbits 2. The planet’s radius-vector sweeps out the same areas in equal times 3. The squares of the periods of the planets are proportional to the cubes of their semi-major axes

Kepler’s Laws...Simply Law 1: Elliptical orbits… Law 2: Equal areas in equal times… Law 3: T2 = R3 (Further, longer …)