21ST CENT.AST.W/WKBK+SMARTWORK >BI<
6th Edition
ISBN: 9780393415216
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 34QP
To determine
Find the semimajor axis of Uranus orbit and time passes between the oppositions of Uranus.
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Based on the orbital properties of Uranus, how far across the sky in arc seconds does it travel in one Earth
day? The average orbital radius is 2.88 x 109 km and the period is 84.0 years. (Assume Uranus and the Earth
are at the closest point to one another in their orbits.)
How many full Moons does this distance cover if the Moon has an angular diameter of 0.5 degrees?
Part 1 of 4
We first need to determine how fast the planet is moving across the sky. If we know the period and the
distance between the Sun and the planet we can calculate the velocity using:
2ar
which will tell us how many kilometers the planet travels in a day if we convert the period into days.
days
= (P
years'
|days/year
Pdays
days
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The Great Red Patch is the term given to the enormous red area on Jupiter's surface.
Are there any predictions on how long it will take the planet to complete its rotation?
Prominent on photos of Jupiter, is a large, reddish oval feature, named the Great Red Spot.
How could this major feature be utilized to determine the rotation period of the planet?
Chapter 3 Solutions
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
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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- Estimate 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_forwardUranus and neptune have almost similar masses. Which of them will exert the greater gravity towards the earth? Why? Explainarrow_forwardA synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Neptune so that scientists can study a surface feature. Neptune rotates once every 16.1 h. Use the data of this table to find the altitude of the satellite. kmarrow_forward
- What is the observed angular speed of Neptune, along the ecliptic of Earth, when it is at opposition, in units of arc minutes / day? Presume the orbits are circular. Earth has orbital speeds of 30km/s and Neptune has 5.43km/s, Neptune here has orbital radius 30.1 AU. Now looking at Uranus for the same condition, in what direction along the ecliptic will it be traveling?arrow_forwardThe Great Red Patch is the name given to Jupiter's large red spot.Is it possible to forecast how long it will take for the planet to complete its rotation?arrow_forwardA spacecraft starts out in an eastward-moving circular orbit around Jupiter. It then burns its engines and increases its speed beyond Jupiter's escape speed - and it does this while it's over Jupiter's night hemisphere. Which of the following might be its destination? Uranus the Sun Mars Eartharrow_forward
- Given the masses and radil of Uranus and Neptune, calculate the gravity at the "surface" of each of the planets.arrow_forwardThe chart shows the length of time for each planet, in Earth days, to make one complete revolution around the Sun. Orbital Period of Planets iY the Solar System Orbital Period (Earth days) 88 225 365 687 4333 10 759 30 685 60 189 Planet Mercury Venus Earth Mars Jupiter Satum Uranus Neptune Source: NASA Use the data table above to compare the length of a year on Mars and Neptune. (HS-ESS1-4) a. One year on Neptune is almost 100 times longer than a year on Mars. b. One year on these two planets is nearly equal. c. One year on Mars is almost 100 times longer than a year on Neptune. d. One year these two planets is roughly equal to a year on Earth. Use the data table above to determine which of the following statements is TRUE. (HS-ESS1-4) a. There is no relationship between a planet's distance from the Sun and its length of year. b. The closer a planet is to the Sun, the longer the planet's year. c. One year on all planets is about 365 days long. d. The farther away a planet is from the…arrow_forwardGiven 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 26.9arrow_forward
- 2arrow_forwardCalculate the angular velocity (in rad/s) of Jupiter about its axis of rotation. (Enter the magnitude.)arrow_forwardOrbital Radius and orbital period data for the four biggest moons of Jupiter are listed in the table below. The mass of the planet Jupiter is 1.9 × 1027 kg. Jupiter's Moon Period (s) Radius (m) T2/r3 Io 1.53×105 4.2×108 ? Europa 3.07×105 6.7×108 ? Ganymede 6.18×105 1.1×109 ? Callisto 1.44×106 1.9×109 ? What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?arrow_forward
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