180 likes | 332 Vues
Explore Kepler's Laws of Planetary Motion and their significance in understanding the solar system's dynamics. Learn to define planetary orbits, describe their elliptical shapes, and understand eccentricity. Gain insights into the three laws: the Law of Ellipses, Law of Equal Areas, and Law of Harmony, which explain how planets move in their orbits around the Sun. Engage in activities such as drawing planetary orbits and comparing the eccentricities of different planets, enhancing your grasp of celestial mechanics and the structure of our solar system.
E N D
Physics of the Solar System Kepler’s Laws
Planetary Paths • Learning Target: • Define planetary orbit and describe its shape • Define eccentricity and compare planets to each other • Explain Kepler’s 3 Laws in simple language and give examples
Activity 1 • Draw a simple orbit below
Activity 1 • What do you know? • What is an orbit? • What are some things that orbit? • What is the shape of an orbit? • Do all orbits have the same shape? • Are orbits natural or human made?
Johannes Kepler • One of the fathers of early astronomy • Along with…
Kepler’s Laws of Planetary Motion • The planets move in elliptical orbits with the sun at one focus • In their orbits around the sun, the planets sweep out equal areas in equal times • The squares of the times to complete one orbit are proportional to the cubes of the average distances from the sun
Ellipses • Construct an ellipse
1: Law of Ellipses • Planets orbit in an ellipse • The sun is at one focus • The other focus is not occupied
Eccentricity of Orbits Planetary orbit eccentricities
2: Law of Equal Areas/Equal Time • A planet takes the same amount of time to move through any same area • So area A=B=C • But t (time) is the same for each one • What does it mean? A B C
3: Law of Harmony • Orbital Period: time it takes to go around the sun once • Semi-major axis: the line from the center of the ellipse to the end
3: Law of Harmony • So, what does it mean? • The further the orbiting body, the longer it takes to orbit • Yep, that simple