Johannes Kepler Tycho Brahe Kepler’s 3 laws of planetary motion:

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Presentation transcript:

Johannes Kepler 1571 - 1630 Tycho Brahe 1546 - 1601 Kepler’s 3 laws of planetary motion: 1. Orbits are ellipses. (Central body a focal point) 2. Objects sweep equal area in equal time 3. Period - Radius R2 R1 R13 R23 T12 T22 =

Mars is 1. 524 AUs from the sun. If our year is 365 Mars is 1.524 AUs from the sun. If our year is 365.26 days long, how many earth days is Mars's year? R1 = 1.524 AU R2 = 1.000 AU T1 = ??? T2 = 365.26 days R13 = R23 T12 = T22 T1 = (R13/R23*T22)(1/2) = 687.2 days W 687.2 days

Example: What is the radius of a geostationary orbit (T = 1 day) if for the moon T = 27.4 days, R = 3.8 x 108 m R1 = ?? R2 = 3.8 x 108 m T1 = 1 day T2 = 27.4 days R13 = R23 T12 = T22 R1 = (R23/T22*T12)(1/3) = 41810294 = 4.2 x 107 m W 4.2 x 107 m

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