Using the Method of Lab 6, we will measure the mass of Saturn in Solar Masses. We will use only 2 of Saturn’s Moons in this problem due to shortage of time. Make sure that your observations are from the North Pole, and use the angular diameter of Saturn as 0.00522o The steps are identical to Jupiter’s Moons but I have completed the data and the basic calulations for the Rhea. Note that the orbital radius is in Saturn diameters, DS. I measured the maximum angular distance of Rhea from Saturn as 0.0228o which gives an orbital radius, R = 0.0228o0.00522o= 4.368 DS. Note that 1 Astronomical Unit (AU) = 1285 DS. Thus the orbital radius of Rhea in AU is R = 4.368/1285 = 0.003399 AU. You need to do the same series of measurements for the largest moon of saturn, Titan and then use the data of both moons to calculate the mass of Saturn in Solar Masses. Make sure to answer the questions below. Moon Start Date and Time End Date and Time Period T (days) Period T (Earth years) Orbital Radius, R (DS) Orbital Radius, R (AU) Rhea 08/04/23, 03:00 08/08/23, 13:00 4.417 0.0121 4.368 0.003399 Titan Using Mass of Saturn = R3T2 = 0.000268 Solar Masses using Rhea’s Data Fill out the responses to these questions in the answer space below. 1.a. What was the Start Date and Time of Titan’s orbit? b. What is the End Date and Time of Titan’s orbit? c. What is the period T of Titan in Earth years? d. What is the maximum angular distance of Titan from Saturn? e. What is the Orbital Radius R of Titan in AU? 2. What is the Mass of Saturn as measured using the Data of Titan?
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In the context of Buchanan and Tullock’s framework, suppose…
In the context of Buchanan and Tullock’s framework, suppose that an increase in polarization has raised the costs of decision-making. Additionally, external costs on the minority have increased as well. However, the decision-making costs have risen more significantly than the external costs. What is the effect on the equilibrium percent level of agreement and the total cost of collective decision-making?
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