Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 3, Problem 38QAP
To determine
The given statement is correct or incorrect.
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O Jupiter's third-largest natural satellite, lo, follows an
orbit with a semimajor axis of 422,000 km (4.22 × 105
km) and a period of 1.77 Earth days (Plo = 1.77 d). To
use Kepler's Third Law, we first must convert lo's orbital
semimajor axis to astronomical units. One AU equals
150 million km (1 AU = 1.50 x 108 km). Convert lo's a
value to AU and record the result.
alo =
AU
The 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 AU
Congratulations! You just derived a version of Kepler's Third Law for Mars!
Using the mass of Mars in kilograms and converting the 4.5 hours to seconds, calculate the distance from the center of the planet.
GM kg
4π²
]s)²
3 =
And then determine the distance (in km) from the surface.
r = rm + rs
rs
km
=
km
Chapter 3 Solutions
Understanding Our Universe
Ch. 3.1 - Prob. 3.1CYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3.5 - Prob. 3.5CYUCh. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAP
Ch. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAPCh. 3 - Prob. 11QAPCh. 3 - Prob. 12QAPCh. 3 - Prob. 13QAPCh. 3 - Prob. 14QAPCh. 3 - Prob. 15QAPCh. 3 - Prob. 16QAPCh. 3 - Prob. 17QAPCh. 3 - Prob. 18QAPCh. 3 - Prob. 19QAPCh. 3 - Prob. 20QAPCh. 3 - Prob. 21QAPCh. 3 - Prob. 22QAPCh. 3 - Prob. 23QAPCh. 3 - Prob. 24QAPCh. 3 - Prob. 25QAPCh. 3 - Prob. 26QAPCh. 3 - Prob. 27QAPCh. 3 - Prob. 28QAPCh. 3 - Prob. 29QAPCh. 3 - Prob. 30QAPCh. 3 - Prob. 31QAPCh. 3 - Prob. 32QAPCh. 3 - Prob. 33QAPCh. 3 - Prob. 34QAPCh. 3 - Prob. 35QAPCh. 3 - Prob. 36QAPCh. 3 - Prob. 37QAPCh. 3 - Prob. 38QAPCh. 3 - Prob. 39QAPCh. 3 - Prob. 40QAPCh. 3 - Prob. 41QAPCh. 3 - Prob. 42QAPCh. 3 - Prob. 43QAPCh. 3 - Prob. 44QAPCh. 3 - Prob. 45QAP
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