21st Century Astronomy: The Solar System (Sixth Edition)
6th Edition
ISBN: 9780393691283
Author: Laura Kay; Stacy Palen; George Blumenthal
Publisher: W. W. Norton
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Question
Chapter 3.2, Problem 3.2CYU
To determine
Order the following from largest to smallest semi major axis.
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The planet Earth has a semi-major axis of a = 1.00 AU and an orbital period of
P= 1 sidereal year = 365.25 days = 3.156 x 10^7 s. Compute the orbital periods of bodies
orbiting the Sun with each of the following semi-major axes.
a)
a = 0.1 AU
b)
a = 10 AU
c)
a = 100 AU
d)
a = 1000 AU
e)
a = 10,000 AU
1 AU = 1.496 x 10^8 km = 1.496 x 10^11 m = 1.496 x 10^13 cm.
GM(sun) = 1.327 x 10^20 m^3/s^2 = (Newton's Constant) x (Mass of Sun)
%3D
%3D
You land on Mars and observe that one of its moons (Phobos) has an orbital period of 7.66 hours. If the Phobos were farther from Mars than it is now, it’s period would be
a) less than 7.66 hrs.
b) about 7.66 hrs.
c) more than 7.66 hrs.
d) difficult to predict without more information.
Directions: Complete the given table by finding the ratio of the planet’s time of the revolution to its radius.
Planet
Average
Radius of
Orbit
Times of
Revolution
R3
T2
T2 /R3
Mercury
5.7869 × 1010
7.605 ×106
Venus
1.081 × 1011
1.941 ×107
Earth
1.496 × 1011
3.156 ×107
What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?
Chapter 3 Solutions
21st Century Astronomy: The Solar System (Sixth Edition)
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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- If you know the radius of a planet, what additional information besides universal constants do you need to calculate its mass? a) Acceleration of a falling object near its surface b) Distance to a nearby star c) Mass of its moon d) Orbital period around its sunarrow_forwardA new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 12 AU and takes 117 days to orbit the star. Determine the mass of the star. State your answer with appropriate mks units. [NOTE: AU ..stands.for...astronomical unit". It is the average distance between Earth & the Sun. 1 AU≈ 1.496 x 1011 m.] Enter a number with units. I be quite large and your calculator will display the answer as a power of 10. If, as an example, your answer was 8.54 x 1056, you would type "8.54e56" into the answer box (remember to state your units with your answer).]arrow_forwardThe planet Saturn has a mass of 5.68×10^26 kg and a radius of 58,200 km. Janus, a moon of Saturn, has a mass of 1.9×10^18 kg and it orbits Saturn a distance of 151,400 km from the center of Saturn. - How many hours does it take for Janus to orbit Saturn?arrow_forward
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