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Planet/Dwarf Planet and Moon Assignments Poster Name Planet Moon Travel Brochure Inner ellipse Outer ellipse (50cm minor axis) Athas, Nicole Mercury Callisto Earth Mercury Giguere, Dillon Venus earth’s Moon Earth Venus Rhine Earth Moon Makemake Ganymede Mars Earth Ganymede Saturn your largest Saturn Jupiter & Earth Saturn Eris your largest Sedna Europa Haumea your largest Neptune your largest Neptune Jupiter & Earth Neptune Pluto your largest Pluto Jupiter & Earth Io Uranus your largest Uranus Jupiter & Earth Uranus Nanthavong, Nicholas Mars your largest Mars Earth Mars Peterson, Jake Ceres earth’s moon Earth Ceres Wentzell, Benjamin Jupiter your largest Ho, Willie Jacek, Steven Kablik, Jesse Kelly, Carl Keohane, Curtis Lane, Adam Maher, Ashley Morrisey, Patrick Earth Titan Pluto Sedna Europa Callisto Planets were assigned based on how noisy you are in class! Jupiter Name: _____________________________________ Planet & Satellite Research Project Date: ________________________ Calculating Scale and Orbital Data for Your Planet & Reference Planet You will be drawing the orbits of your assigned planet or dwarf planet on the large poster. In addition, you will also draw the orbit of a second planet to give the reader a sense of scale of the solar system. Feel free to draw additional inner planet orbits if you like. 1. Look at the table of planet assignments to see which planet will be your outer ellipse. Note that your outer ellipse will be scaled to have a minor axis of 50 cm. If the minor axis is 50 cm, the semi-minor axis is b = _________ cm 2. Look up the semi-major axis (a) eccentricity (e) for your outer planet. Use them to calculate the size of the semi-minor axis (b). Then find the scale factor for your diagram, and use it to calculate your focal points, aphelion, and perihelion distances. Neatly show your work to the right of the table (no work = no credit). I listed these in fairly logical order to calculate & use to draw your ellipse. Before you begin, label a, b, ae, f1, f2, q (Rp), Q (Ra) on this ellipse: Outer ellipse calcs for planet: Look up this data: a (millions of miles) e (unitless) Calculate these values (neatly show work to the right) b (millions of miles) b (cm) 25 cm (size of paper) Scale factor: 1 cm = million miles a (cm) focus, f (millions of miles) f (cm) q = Rp = perihelion distance (mill. miles) q = Rp = perihelion distance (cm) Q = Ra = aphelion distance (mill. miles) Q = Ra = aphelion distance (cm) Useful equations you found in Kepler's 1st Law Worksheet: From ellipse geometry & pythagorean thm: b2 + (ae)2 = a2 therefore, b = a (1− e2 ) , a = b (1 − e2 ) , and e = 1− b2 . a2 Proof of this is worth bonus points! Time running out on this bonus!