Calculating Orbits of Planets and Moons in Astronomy Homework 3, Assignments of Astronomy

Download Calculating Orbits of Planets and Moons in Astronomy Homework 3 and more Assignments Astronomy in PDF only on Docsity! Astronomy 192 Section 001 Homework 3 – Due Wednesday, February 2 Name _____________________________________________ Student Number (Last 4 digits only!) _____________________ The grader has been instructed to ignore any responses that are not clearly written in the appropriate box, and any graph that is not clearly drawn and labeled on the provided graph paper. The purpose of this assignment is to improve your 1. appreciation for Kepler’s Third Law, 2. understanding of how we measure Mass, 3. understanding of rotation curves for systems bound by gravity. Part I. (25 points) Let T stand for the orbital period of a planet. Let D stand for the average distance of a planet from the Sun. (Data are from Table E.2, but I changed units.) Calculate D3/T2 and the Speed for each of the nine planets, and enter your results in columns four and five of Table 1. Use Scientific Notation with three significant figures (i.e. 4.1592 x 10-2 ≈ 4.16 x 10-2). Table 1. Object T (days) D (million meters) D3/T2 Speed = 2πD/T (million meters/day) Mercury 87.99 5.79 x 104 Venus 224.70 1.082 x 105 Earth 365.25 1.496 x 105 Mars 687.04 2.279 x 105 Jupiter 4,331.9 7.783 x 105 Saturn 10,746 1.427 x 106 Uranus 30,685 2.870 x 106 Neptune 59,791 4.497 x 106 Pluto 90,582 5.916 x 106 Part II. (25 points) Let T stand for the orbital period of a moon around a planet. Let D stand for the average distance of the moon from the planet. Repeat Part I for each of the moons and each of the planets listed below. (Data from Table E.3) Table 2. Jupiter moon T (days) D (million meters) D3/T2 Io 1.769 421.6 Europa 3.551 670.9 Ganymede 7.155 1070.0 Callisto 16.689 1883.0 Table 3. Saturn moon T (days) D (million meters) D3/T2 Tethys 1.888 294.66 Dione 2.737 377.4 Titan 15.945 1,221.85 Iapetus 79.331 3,561.3 Table 4. Uranus moon T (days) D (million meters) D3/T2 Ariel 2.52 191.2 Umbriel 4.144 266.0 Titania 8.706 435.8 Oberon 13.463 582.6