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Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Textbook Question
Chapter 4, Problem 2SOP
Arrange the following in order of increasing distance from the Sun according to the heliocentric model of the Universe: Jupiter, Mercury, Earth, Venus, Mars, Saturn, the stars
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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?
Explain the geocentric view of the universe.
The 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?
Chapter 4 Solutions
Foundations of Astronomy (MindTap Course List)
Ch. 4 - Prob. 1RQCh. 4 - Why did early human cultures observe astronomical...Ch. 4 - Prob. 3RQCh. 4 - Name one example each of a famous politician,...Ch. 4 - Why did Plato propose that all heavenly motion was...Ch. 4 - On what did Plato base his knowledge? Was it...Ch. 4 - Which two-dimensional (2D) and three-dimensional...Ch. 4 - Are the spheres of Eudoxus a scientific model? If...Ch. 4 - In Ptolemys model, how do the epicycles of Mercury...Ch. 4 - Describe in detail the motions of the planets...
Ch. 4 - In Ptolemys model, which of the followingepicycle,...Ch. 4 - Why did Copernicus have to keep small epicycles in...Ch. 4 - Was the belief held by ancient astronomers that...Ch. 4 - When Tycho observed the new star of 1572, he could...Ch. 4 - Assume the night is clear and the Moons phase is...Ch. 4 - Does Tychos model of the Universe explain the...Ch. 4 - Name an empirical law. Why is it considered...Ch. 4 - How does Keplers first law of planetary motion...Ch. 4 - When Mercury is at aphelion (farthest from the...Ch. 4 - Prob. 20RQCh. 4 - What is P for Earth? What is a for Earth? Do these...Ch. 4 - Based Figure 4-13c, do planets with larger a take...Ch. 4 - How did the Alfonsine Tables, the Prutenic Tables,...Ch. 4 - Explain how each of Galileos telescopic...Ch. 4 - How did discovery of the Galilean moons disprove...Ch. 4 - Prob. 26RQCh. 4 - How Do We Know? Describe the differences between a...Ch. 4 - Draw and label a diagram of the western horizon...Ch. 4 - If you lived on Mars, which planets would exhibit...Ch. 4 - How long does it take for one retrograde cycle of...Ch. 4 - If a planet has an average distance from the Sun...Ch. 4 - If a space probe is sent into an orbit around the...Ch. 4 - Uranus orbits the Sun with a period of 84.0 years....Ch. 4 - An object takes 29.5 years to orbit the Sun. What...Ch. 4 - One planet is three times farther from the Sun...Ch. 4 - Galileos telescope showed him that Venus has a...Ch. 4 - Which is the phase of Venus when it is closest?...Ch. 4 - Galileos telescopes were not of high quality by...Ch. 4 - Arrange the following in order of increasing...Ch. 4 - Arrange the following in order of increasing...Ch. 4 - Prob. 1LTLCh. 4 - Study Figures 4-11 and 4-16 and describe the...Ch. 4 - What three astronomical objects are represented...Ch. 4 - Use the figure below to explain how the Ptolemaic...
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- Arrange the following in order of increasing distance from Earth according to the geocentric model of the Universe: Jupiter, Mercury, the Sun, Venus, Mars, Saturn, the starsarrow_forwardThe day on Mars is 1.026 Earth-days long. The martian year lasts 686.98 Earth-days. The two moons of Mars take 0.32 Earth-day (for Phobos) and 1.26 Earth-days (for Deimos) to circle the planet. You are given the task of coming up with a martian calendar for a new Mars colony. Would a solar or lunar calendar be better for tracking the seasons?arrow_forwardThe radius of the Earth's orbit is 1.50 1011 m and that of Mars is 2.28 1011 m. The star that this planet orbits is identical to our Sun. What is the orbital period of this planet?In years?arrow_forward
- The picture below shows the model. Planets Moon Earth SUN Perihelion Heliocentric Aphelion Geocentric Solarcentricarrow_forwardTwo planets orbit the same star in circular orbits. One orbits at a distance of 167AU and takes 1.5days to complete an orbit. The second planet orbits at a distance of 4.7 AU. How long does it take the the second planet to complete one orbit? answer in days.arrow_forwardselect the most accurate statementarrow_forward
- Suppose, we recently discovered a new planet named Concordia. If for 15 degrees difference, the distance between Cansae City and and Cantabrigia City would have been 6050 stadia. According to Erasthosthenes' calculation, what would have been the circumference of Concordia? 5.45E5 stadia 2.45E5 stadia 4.45E5 stadia 1.45E5 stadia 3.45E5 stadiaarrow_forwardThe 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 %3Darrow_forwardFind the ratio of the mass of Jupiter to that of Earth based on data in Table .arrow_forward
- Earth has an orbital period of 365 days and its mean distance from the sun is 1.495×108 km. The planet pluto's mean distance from the sun is 5.896×109 km. Using kepler's third law, calculate pluto's orbital period in earth days.arrow_forward(to two decimal places): (what is ‘h’?) Eccentricity of earth orbit is 0.0167 µ(sun) = 1.32712E+11 km^3/s^ semimajor axis of Earth orbit = 1.49598E+08 need to figure out what ‘h’ is. a) Calculate the speed of the earth around the sun at aphelion? (29.29 KM/S) b) At perihelion? (30.29 KM/S)arrow_forwardAssume that the planet's orbit is circular of radius R = 130 × 106 km and planet's period is T = 30 × 10° s. What is the magnitude of the vector J = r x r' (in units of square kilometers per second)? (Use decimal notation. Give your answer to three decimal places.) ||J|| = x10° km²/s Find the rate at which the planet's radial vector sweeps out area in units of square kilometers per second. (Use decimal notation. Give your answer to three decimal places.) dA x10° km²/s dtarrow_forward
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