lo Europa Ganymede Callisto Orbital Period (Days) 2 3.57 7.12 16.43 Amplitude (Jupiter Diameters) 0.00311048 0.00460952 0.2087671 Average: 0.01285714 Mass of Jupiter as determined by M lo: Orbital Period (Years) a3 P2 ↓ Con Europa: Ganymede: Callisto: vert ↓ 0.00547345 0.00978082 0.01950685 All values should be 3 significant figures! Examples: 6.44x104 or 5.78 or 0.00752 0.0450137 Mass Calculation You now have P (period) and a (semi major axis) for each moon orbiting Jupiter. Using the following equation, calculate the mass of Jupiter as measured by each moon. Then average. Semi Major Axis (AU) 3.266 (This is a modified Kepler's 3rd law which only works if units of AU, Years, and Solar mass are used) 4.84 7.62 13.5 Solar Masses Solar Masses Solar Masses Solar Masses Solar Masses

lo Europa Ganymede Callisto Orbital Period (Days) 2 3.57 7.12 16.43 Amplitude (Jupiter Diameters) 0.00311048 0.00460952 0.2087671 Average: 0.01285714 Mass of Jupiter as determined by M lo: Orbital Period (Years) a3 P2 ↓ Con Europa: Ganymede: Callisto: vert ↓ 0.00547345 0.00978082 0.01950685 All values should be 3 significant figures! Examples: 6.44x104 or 5.78 or 0.00752 0.0450137 Mass Calculation You now have P (period) and a (semi major axis) for each moon orbiting Jupiter. Using the following equation, calculate the mass of Jupiter as measured by each moon. Then average. Semi Major Axis (AU) 3.266 (This is a modified Kepler's 3rd law which only works if units of AU, Years, and Solar mass are used) 4.84 7.62 13.5 Solar Masses Solar Masses Solar Masses Solar Masses Solar Masses

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