ET Sketch an ellipse and label the major axis, minor axis, and foci. Ellipse Anatomy Review Goal 1. Understand Kepler’s 2nd Law. 2. Begin to explore Kepler’s 3rd Law. http://astro.unl.edu/naap/pos/animations/kepler.swf Kepler’s Second Law Kepler’s Third Law Inquiry Task 1. 2. 3. 4. Find a partner, grab a computer. Load www.bacsspacescience.weebly.com. Open link for Kepler’s Third Law Inquiry Task. Wait here. We will read through the introduction as a class. 5. With your partner, work through the 10 exercises listed in the exercises tab. 6. Write your answers, in complete sentences (use diagrams to help if you like!) in your notebook. Kepler’s Third Law – The Math Planet P (years) a (AU) Mercury 0.241 0.387 Venus 0.615 0.723 Earth 1.000 1.000 Mars 1.881 1.524 Jupiter 11.862 5.203 Saturn 29.458 9.537 P2 a3 Kepler’s Third Law Planet P (years) P2 a (AU) a3 Mercury 0.241 0.387 0.0581 0.057961 Venus 0.615 0.723 0.3782 0.377933 Earth 1.000 1.000 1 1 Mars 1.881 1.524 3.5382 3.539606 Jupiter 11.862 5.203 140.71 140.8515 Saturn 29.458 9.537 867.77 867.4318 Kepler’s Third Law P2 0.058 a3 0.058 0.378 0.378 1 1 3.538 3.539 140.71 140.85 867.77 867.43 a 3 = p2 a3 = 1 p2 a 13 p1 2 = a 23 p2 2 a13 x p22 = a23 x p12 a13 a23 a1 a2 = 3 p12 p22 p = 1 p2 2 ( ) ( ) If Neptune lives at about 30.44 AU from the sun, what would be its orbit period? a1 3 = p1 2 (a ) ( p ) 2 2 An asteroid orbits the sun with a mean orbital radius of 3.65 X 1011 m. One AU = 1.4957 x 1011 m. Calculate the period of the asteroid. a1 3 = p1 2 (a ) ( p ) 2 2 The moon Io revolves around Jupiter in 0.0048 sidereal years. Io has an mean orbital radius of 0.0028 Au’s. If Europa (another one of Jupiter’s moons) has a period of rotation of 0.0097 sidereal years, then how far away is Europa from the center of Jupiter? a1 3 = p1 2 (a ) (p ) 2 2 HW 1. Vocab – – – – – Kepler’s Second Law Kepler’s Third Law Eccentricity Period Semi-major axis *Don’t forget to observe the moon!

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# Kepler`s Laws