Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 15Q
To determine
The reason for synodic period of mercury to be greater than its sidereal period where as synodic period for Jupiter is less than its sidereal period.
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Saturn has an angular size of 16”, and an observed Synodic Period of 1.035yrs. Saturn’s moon, Titan orbits the planet with an angular separation of 192”, with a period of 15.9days. From these observations we can determine Saturn’s mass.
Use the Sidereal Period of Saturn above to find the distance to Saturn from the Sun.
I. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius.
Average
Radius of
Orbit
Times of
Planet
R3
T2
T?/R3
Revolution
Mercury
5.7869 x 1010
7.605 x 106
Venus
1.081 x 1011
1.941 x 107
Earth
1.496 x 1011
3.156 x 107
1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?
II. Solve the given problems. Write your solution on the space provided before each number.
1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the
following:
a) Speed
b) Period
c) Radial Acceleration
Given:
Unknown:
Formula:
Solution:
Answer:
Given:
Unknown:
Formula:
Solution:
Answer:
Given:
Unknown:
Formula:
Solution:
Answer:
Mars is 1.5 times as far away from the Sun as Earth. Earth’s axis is tilted at 23.5o compared to the ecliptic. The axis of Mars is tilted at 25o compared to the ecliptic. The atmosphere on Earth is 100 times as thick as the atmosphere on Mars. Which of the following statements is true?
1.)Mars is so cold that the water there is ice, while Earth does not have any ice
2.)When it is summer in Earth’s northern hemisphere, it is winter on Mars’ southern hemisphere
3.) Earth has seasons, Mars does not
4.) All of the water on Mars is frozen, while Earth has water in solid, liquid and gas form
Chapter 4 Solutions
Universe: Stars And Galaxies
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - Prob. 23QCh. 4 - Prob. 24QCh. 4 - Prob. 25QCh. 4 - Prob. 26QCh. 4 - Prob. 27QCh. 4 - Prob. 28QCh. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - Prob. 31QCh. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - Prob. 35QCh. 4 - Prob. 36QCh. 4 - Prob. 37QCh. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - Prob. 40QCh. 4 - Prob. 41QCh. 4 - Prob. 42QCh. 4 - Prob. 43QCh. 4 - Prob. 44QCh. 4 - Prob. 45QCh. 4 - Prob. 46QCh. 4 - Prob. 47QCh. 4 - Prob. 48QCh. 4 - Prob. 49QCh. 4 - Prob. 50QCh. 4 - Prob. 51QCh. 4 - Prob. 52QCh. 4 - Prob. 53QCh. 4 - Prob. 54QCh. 4 - Prob. 55QCh. 4 - Prob. 56QCh. 4 - Prob. 57QCh. 4 - Prob. 58Q
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In Ptolemys model, how do the epicycles of Mercury and Venus differ from those of Mars, Jupiter, and Saturn?arrow_forwardHow many precession periods are in one cycle of Earths axis inclination variation? In one cycle of Earths orbit eccentricity variation? In the time span shown in Figure 2-11b, how many periods or fractions of periods did the Earths axis precess, nod, and Earths orbit change shape? Of the three periods, which is likely to have the most effect on the changes shown in Figure 211?arrow_forwardWhat phases would Venus show if the geocentric model were correct?arrow_forward
- The table below presents the semi-major axis (a) and Actual orbital period for all of the major planets in the solar system. Cube for each planet the semi-major axis in Astronomical Units. Then take the square root of this number to get the Calculated orbital period of each planet. Fill in the final row of data for each planet. Table of Data for Kepler’s Third Law: Table of Data for Kepler’s Third Law: Planet aau = Semi-Major Axis (AU) Actual Planet Calculated Planet Period (Yr) Period (Yr) __________ ______________________ ___________ ________________ Mercury 0.39 0.24 Venus 0.72 0.62 Earth 1.00 1.00 Mars 1.52 1.88 Jupiter…arrow_forwardSaturn has an orbital period of 29.6 years. Explain how to calculate the average distance from the saturn to the sunarrow_forwardAn asteroid is observed to be on a superior orbit with a synodic period of 466.6 days. What are the sidereal orbital period and semi-major axis of this asteroid? Choose the option below that most closely matches your answers. Select one: O a. Sidereal period = 1683 days and %3D semi-major = 2.7 AU O b. Sidereal period = 1683 days and semi-major axis = 4.8 AU O c. Sidereal period = 865 days and semi- major axis = 1.8 AU O d. Sidereal period = 426 day and semi- %3D major axis = 2.7 AU O e. Sidereal period = 1727 days and е. semi-major axis = 0.8 AUarrow_forward
- The Earth covers about 1° per day in its orbit about the Sun, and the solar day is slightly longer than the sidereal day. If Earth spun in a retrograde direction like Venus but it still had the same sidereal period (23 hr 56 min), how long would the solar day be? The solar day would be 72 hr and min.arrow_forwardThe Mars Robotic Lander for which we are making these calculations is designed to return samples of rock from Mars after a long time of collecting samples, exploring the area around the landing site, and making chemical analyses of rocks and dust in the landing area. One synodic period is required for Earth to be in the same place relative to mars as when it landed. Calculate the synodic period (in years) using the following formula: 1/Psyn = (1/PEarth) - (1/PMars) where PEarth is the sidereal period of the Earth (1 year) and PMars is the sidereal period of Mars. If 3/4 of a Martian year was spent collecting samples and exploring the terrain around the landing site, calculate how long the Mars Robotic Lander expedition took!arrow_forward"Aristarchus' Method of Determining the Distance to the Sun" At the first quarter of the Moon (at position Q), the angle (EQS) equals 90° (see the sketch below). Modern observations show that the interval from new Moon (near position N) to first quarter (at Q) is 35 minutes shorter than that from first quarter to full Moon (near position F). Given that the lunar synodic period (the interval between two identical lunar phases) is 29 days and 12.73 hours, estimate the Earth-Sun distance (ES) in terms of the Earth-Moon distance. F/ Earrow_forward
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