21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 37QP
To determine
Show that the Kepler’s law applies to four Galilean moons of Jupiter by calculating the ratio of
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Chapter 3 Solutions
21st Century Astronomy
Ch. 3.1 - Prob. 3.1ACYUCh. 3.1 - Prob. 3.1BCYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QP
Ch. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QPCh. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Prob. 17QPCh. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - Prob. 26QPCh. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - Prob. 44QPCh. 3 - Prob. 45QP
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- Phobos, one of the moons of Mars, orbits at a distance of 9378 km from the center of the red planet. What is the orbital period of Phobos?arrow_forwardScientist once hypothesized the existence of a planet called vulcan to explain Mercury's precession. Vulcan is supposed to be between mercury and the sun with a solar distance equal to 2/3;of that mercury. What would be its supposed periodarrow_forwardQuestion 4: Use Kepler's 3rd law to find the orbital periods (assume circular orbits) for the inner planets given that their orbital radii are: Mercury: 5.8 x 107 km Venus: 1.08 x 108 kmarrow_forward
- The Apollo 11 and 12 missions brought back different types of lunar rocks, available to see at the Lunar Planetary Institute in Clear Lake (see the 'read' link below). If one set of rocks weigh 65 lbs on the moon, what is their weight on earth? The lunar gravity is 5.30 ft/s2 and earth gravity is 32.2 ft/s². The mass of the rocks is slugs (do you know this unit?). The weight of the rocks on earth is lbs.arrow_forwardConsider two planets, each with mass 9 x 1024 kg. The first planet is located at coordinates (6 x 107 m, 0 m), and the second is located at (-6 x 107 m, 0 m). Calculate the magnitude of the gravitational field due to the two planets at coordinates (0 m, 1 x 107 m), in N/kg. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardMars has two moons orbiting it. One moon is named Deimos ( terror/dread from Greek mythology). Deimos has a mass of 2(10)^15 kg and is 23,460 km from Mars. The mass of Mars is 6.42 (10) ^23 kg a) What is the gravitational force between Mars and Deimos? (give this answer in Scientific Notation with 2 decimal places) b) What is the velocity of Deimos as it orbits Mars? ( give this answer in decimal form to 2 decimal places) a) = FG __________________ N b) V = ________________ m/sarrow_forward
- The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762x10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v (tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.arrow_forwardThe table below illustrates data on Kepler's 3rd Law for the first six planets. Use it to estimate the orbital period of Asteroid Baade which has a semi-major axis of 2.55 AU | P (years) p2 a3 a (AU) Mercury 0.24 0.058 0.058 0.39 Venus 0.62 0.38 0.38 0.72 Earth 1.00 1.00 1.00 1.00 Mars 1.88 3.54 3.54 1.52 Jupiter 11.9 141 141 5.20 Saturn 29.5 868 868 9.54 A. 0.77 years B. 4.07 years C. 19.2 years D. 1.67 years Е. 50.2 yearsarrow_forwardThe table below illustrates data on Kepler's 3rd Law for the first six planets. Use it to estimate the semi-major axis of the object Hathor 2340 which has an orbital period of 0.77 years p (years) p2 a3 a (AU) Mercury 0.24 0.058 0.058 0.39 Venus 0.62 0.38 0.38 0.72 Earth 1.00 1.00 1.00 1.00 Mars 1.88 3.54 3.54 1.52 Jupiter 11.9 141 141 5.20 Saturn 29.5 868 868 9.54 А. 13.7 AU O B. 0.84 AU ОС. 1.41 AU D. 2.55 AU O E. 1.05 AUarrow_forward
- The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762×10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v(tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.arrow_forwardThe orbit of a 1.9 x 1010 kg comet around the Sun is elliptical, with an aphelion distance of 25.0 AU and perihelion distance of 0.870 AU. (Note: 1 AU = one astronomical unit = the average distance from the Sun to the Earth = 1.496 x 1011 m.) (a) What is its orbital eccentricity? (b) What is its period? (Enter your answer in yr.) yr (c) At aphelion what is the potential energy (in J) of the comet-Sun system?arrow_forwardGalileo is often credited with the early discovery of four of Jupiter's many moons. The moons orbiting Jupiter follow the same laws of motion as the planets orbiting the sun. One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days. Another moon is called Ganymede; it is 10.7 units from Jupiter's center. Make a prediction of the period of Ganymede using Kepler's law of harmonies.arrow_forward
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