21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 11, Problem 43QP
To determine
Compare the mass of the Saturn’s moon Mimas to the Saturn’s B ring.
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10
Jup
Europa
Figure I
Ganymede
While looking through the Mt. Palomar telescope, you discover a large planetary object orbited by a single moon. The moon orbits the planet every 7.35 hours with the centers of the two objects separated by a distance roughly 2.25 times the radius of the planet. Fellow scientists speculate that the planet is made of mostly iron. In fact, the media has dubbed it the ''Iron Planet'' and NASA has even named it Planet Hephaestus after the Greek god of iron. But you have your doubts. Assuming the planet is spherical and the orbit circular, calculate the density of Planet Hephaestus.
Given the following information on Jupiter's Galilean moons, (a) determine the average
mass of Jupiter and (b) compare to the known value of 1.898 × 1027 kg. Jupiter's
diameter is 1.40 × 105 km. Assume the diameter of Jupiter is 139,820 km.
Period in
Orbital Diameter in
Name
Days
Jupiter Diameters
lo
1.77
6.03
Europa
3.55
9.60
anymede
7.16
15.3
Callisto
16.7
26.9
Chapter 11 Solutions
21st Century Astronomy
Ch. 11.1 - Prob. 11.1CYUCh. 11.2 - Prob. 11.2ACYUCh. 11.2 - Prob. 11.2BCYUCh. 11.3 - Prob. 11.3CYUCh. 11.4 - Prob. 11.4CYUCh. 11 - Prob. 1QPCh. 11 - Prob. 2QPCh. 11 - Prob. 3QPCh. 11 - Prob. 4QPCh. 11 - Prob. 5QP
Ch. 11 - Prob. 6QPCh. 11 - Prob. 7QPCh. 11 - Prob. 8QPCh. 11 - Prob. 9QPCh. 11 - Prob. 10QPCh. 11 - Prob. 11QPCh. 11 - Prob. 12QPCh. 11 - Prob. 13QPCh. 11 - Prob. 14QPCh. 11 - Prob. 15QPCh. 11 - Prob. 16QPCh. 11 - Prob. 17QPCh. 11 - Prob. 18QPCh. 11 - Prob. 19QPCh. 11 - Prob. 20QPCh. 11 - Prob. 21QPCh. 11 - Prob. 22QPCh. 11 - Prob. 23QPCh. 11 - Prob. 24QPCh. 11 - Prob. 25QPCh. 11 - Prob. 26QPCh. 11 - Prob. 27QPCh. 11 - Prob. 28QPCh. 11 - Prob. 29QPCh. 11 - Prob. 31QPCh. 11 - Prob. 32QPCh. 11 - Prob. 33QPCh. 11 - Prob. 34QPCh. 11 - Prob. 35QPCh. 11 - Prob. 36QPCh. 11 - Prob. 37QPCh. 11 - Prob. 38QPCh. 11 - Prob. 40QPCh. 11 - Prob. 41QPCh. 11 - Prob. 42QPCh. 11 - Prob. 43QPCh. 11 - Prob. 44QPCh. 11 - Prob. 45QP
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- Io orbits Jupiter at an average distance of 4.22 105 km with an orbital period of 0.00485 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 105 km with an orbital period of 0.07481 yr. (a) Use the above information to find the orbital speeds of Io around Jupiter and of the Moon around the Earth. vMoon = m/s vIo = m/s (b) What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.)M = (c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of Jupiter. ME MJarrow_forwardEstimate the length of period of Neptune assuming that the length of the semimajor axis of the ellipse is a = 449.51 x 101º m. For Earth, a = 15.0 × 1010 m. (Use decimal notation. Give your answer to two decimal places.)arrow_forwardNeptune's largest moon Triton has an orbit with a semimajor axis of 3.55 x 105 km. Considering that the mass of Neptune is 1.02 x 1026 kg, calculate the orbital period of Triton around Neptune, giving your answer in days.arrow_forward
- Jupiter's moon loses about 930 kg/s of sulfur dioxide to Jupiter's magnetosphere.Sulfur dioxide currently makes up 0.57% of moon's mass.How long in years until Jupiter's moon runs out of sulfur dioxide at the current loss rate?Jupiter's moon has mass of 1*10^23 kg and there are 3.15*10^7 seconds in a year.arrow_forwardNeptune has a mass of 1.0 ✕ 1026 kg and is 4.5 ✕ 109 km from the Sun with an orbital period of 165 years. Planetesimals in the outer primordial solar system 4.5 billion years ago coalesced into Neptune over hundreds of millions of years. If the primordial disk that evolved into our present day solar system had a radius of 1011 km, and if the matter that made up these planetesimals that later became Neptune was spread out evenly on the edges of it, what was the orbital period (in years) of the outer edges of the primordial disk? yrarrow_forwardNeptune has a mass of 1.0 ✕ 1026 kg and is 4.5 ✕ 109 km from the Sun with an orbital period of 165 years. Planetesimals in the outer primordial solar system 4.5 billion years ago coalesced into Neptune over hundreds of millions of years. If the primordial disk that evolved into our present day solar system had a radius of 1011 km, and if the matter that made up these planetesimals that later became Neptune was spread out evenly on the edges of it, what was the orbital period (in years) of the outer edges of the primordial disk?arrow_forward
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