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ANSWER THese questions in details and with an explanation and show all your work Objective: Verify that the Law of Harmonies will correctly predict the

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ANSWER THese questions in details and with an explanation and show all your work

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Objective: Verify that the Law of Harmonies will correctly predict the occurrence of planetary bodies around an extrasolar star system! Using the values provided in the Kepler calculations sheet, you will fill in the remaining data for each exoplanet orbiting the Kepler 11 star. Part I 1) Open the Kepler Data Sheet. If you do not have Microsoft Excel, you can upload into Google Sheets. The data sheet contains a table with known period and radius measurements. You will need to convert the measurement into the appropriate units. 2) Use the conversion factors below to express the time period and radius in meters and seconds, respectively. Place your converted numbers into the table in the appropriate columns. 1 AU= 1.4957 X 1011 m 1 Earth Year = 3.156 X 107 s 1day = 86400 s T= period in seconds R= radius in meters 3) Calculate the time period squared. Use the period in seconds for your calculation. Enter the values in the table in the appropriate column.3) Calculate the time period squared. Use the period in seconds for your calculation. Enter the values in the table in the appropriate column. 4) Calculate the radius cubed. Use the radius in meters for your calculation. Enter the values in the table in the appropriate column. 5) Once you have calculated the time period in seconds squared (T2) and the radius in meters cubed (R3), calculate the ratio T2/R and enter into the table. 6) Checking your work. If you enter the data into Microsoft Excel and Google Sheets as numbers, you can copy and paste the T2 column and the R3 column into Desmos Graphing Calculator. Look at the graph. If it makes a linear relationship (straight line with a slope), the data follows Kepler's third law. Part II: 1) To what degree do the planets of Kepler 11 match the pattern of T2/R3? Include specific data to support your answer.1) To what degree do the planets of Kepler 11 match the pattern of TZ/R3? Include specific data to support your answer. 2) What might this imply about the accuracy of data collected by Kepler for the remainder of this planetary system? 3) What might this tell us about other possible undiscovered planets in the Kepler 11 system? Support your answer with evidence from this lab. A B C D E F G H Distance from Distance from Time Period Squared Distance cubed T2/R3 Kepler 11 Kepler 11 T^2 R^3 ratio W N Planet Period (days) Period (s) (AU) (m) (s^2) (m^3) (s^2/m^3) Kepler 11b 10.3039 0.091 Kepler 11c 13.0241 0. 107 Kepler 11d 22.6845 0. 155 Kepler 11e 31.9996 0. 195 Kepler 11f 46.6888 0.25 9 Kepler 11g 118.3807 0.466 10

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