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Explore the contributions of ancient astronomers like Aristarchus and Eratosthenes to early models of the solar system, including the geocentric and heliocentric models. Learn about Ptolemy's geocentric model, Copernicus and Galileo's heliocentric model, Tycho Brahe's observations, and Kepler's laws. Understand how the concept of gravity, as explained by Isaac Newton, revolutionized our understanding of celestial bodies. Engage in moon mapping and investigate the effects of gravity on different celestial objects.
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Aristarchus and Eratosthenes • From Greece, 4 and 3 BC • Based on observations believed in Heliocentric model • Able to calculate the diameter of the earth, believing it was round. • List observations they could have made to support their hypothesis • AristarchusEratosthenes
Ptolemy • Earth centric model, • Believed the portions of the universe visible at the time were much smaller in scale and closer than Aristarchus who’s scale was a bit more realistic • What observations would have lead to believing in an earth centered system? • Ptolemy's model
Geocentric Modeling • Please experiment with how a system would have worked based on the geocentric model. Use the sun, earth, mars, venus. • Draw it in your lab journal first – then we will use the actual globes and lights to attempt to demonstrate. • In your lab journal – write down three things that do not work with this model when you try to put it together physically.
Copernicus and Galileo • Heliocentric model, with mathematical proof • Used telescopes to view moons of Jupiter- which was evidence of _____________? • Our moon has craters and phases • Venus went through phases similar to our moon • Evidence which supports the ____________ model.
Heliocentric modeling • In your lab journal – sketch a heliocentric model – include Sun, Earth, Venus, Mars • Consider Galileo’s observations, give three more reasons why this model works better to explain movements in our solar system • What motion in the planets helps resolve other observation problems? • Mars in retrograde, Venus phases, • Retrograde motion
Tycho Brahe • Known for his “naked eye” observations, both being accurate and huge in quantity • Offered a “geo-heliocentric” model to accommodate a number of observations • Used “stellar parallax” to calculate distance to stars he observed. • Tycho Brahe
Kepler • Kepler used mathematics to prove and solve problems with other astronomers observations • Kepler's laws are: • 1. The orbit of every planet is an ellipse, with the Sun at one of the two foci. • 2. A line joining a planet and the Sun sweeps out equal areas during equal intervals of time. • 3. The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.
(2) The two shaded sectors A1 and A2 have the same surface area and the time for planet 1 to cover segment A1 is equal to the time to cover segment A2.(3) The total orbit times for planet 1 and planet 2 have a ratio a13/2 : a23/2.
How do ellipses work? • How is an ellipse different than a circle? • How does this solve some problems of observation in the solar system? • Mars in retrograde? • Rate of speed of planets as they travel around the sun?
The flaws in previous thinking? • Planetary orbits were perfect circles • Size and speed of planets, orbits, etc • Affects on each other en-route- hmm,
Moon Mapping • We are going to track the moon for a month. This is a long term assignment, which will create a lot of data and questions. • 1st – put your name on the back of the paper and label according to my notes on the board. • 2nd – lightly, draw lines at the levels noted on the board. • 3rd – add a horizon line
Moon mapping requirements • All moon’s must have date and time next to it, and be properly shaded based on your observation. • Special notes will go on the back of the moon map as per class discussion • Hypothesis ideas will also
Isaac Newton and gravity • Contributions: laws of motion and gravity • These laws could be applied to all things in the field of science – not just astronomy • Worked with light and color, and built a reflecting telescope. • Apple idea – why did the apple fall to the ground, why do the moons orbit larger planets, and why do planets orbit the sun? • Gravity!
Universal Law of Gravitation "All bodies attract each other with a force proportional to the product of their masses, and inversely proportionate to the square of the distance between them. Okey – so what does that really mean? http://ed.ted.com/lessons/jon-bergmann-how-to-think-about-gravity
Practically, this law says that large, heavy objects pull each other harder than small, light ones. And the pull is greater between objects near each other than objects that are far apart. • Put that in context to the sun, the moon, the earth, and other planets. • http://www.richeast.org/htwm/NEWTON/Newton.htm
Question- • If you drop a feather and a hammer which will land first? • Why? Defend your answer with facts. http://www.youtube.com/watch?v=4mTsrRZEMwA
The formula - • And so, lets talk about those variables. • What if? ,
What if? • If you climbed to the top of Mt Everest would you feel less gravity? • Why do you experience less gravity on the Moon? • Which variable is at play in each of these problems?
Moon Map modeling • Using your information from the moon mapping activity – please practice and show me what actions happen between the sun, moon and earth for the phases to appear as we observed them. • On the back of your moon map draw the moon, sun and earth in the correct positions to show a full moon, and new moon. • Show both your model and diagram to me to get checked off before proceeding.
Moon Map summary • On the back of your moon map, after completing the modeling, and diagram, you need to write a summary that follows the format: • The lunar period from full moon to full moon, both its orbital period, and rotational period. • We only ever see one side of the moon, explain why that is the case. Refer to video • Explain why we the moon rise/ set later and later each day. • Include a statement about the lunar orbit and its rotation on its own axis. • End your summary with two new things you learned from this observation period and modeling practice