21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 5.5, Problem 5.5CYU
To determine
The brightness of Mars on Sun compared with its brightness on Earth.
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19 A planet is detected via the Doppler technique. The velocity change of the star is a measure of
A The planet's size and density.
B
C
D
E
The planet's mass and orbital distance.
The planet's orbital period and eccentricity.
The planet's mass and composition.
The planet's size and orbital distance.
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:
1. The diameter of the Sun is equal to 1.392*10^9 m, and the distance from the Sun to Saturnis equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system,and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer inmeters.b) The actual diameter of Saturn is 116,460 km. What would be Saturn’s diameter in yourscale model? Give your answer in centimeters.
Chapter 5 Solutions
21st Century Astronomy
Ch. 5.1 - Prob. 5.1ACYUCh. 5.1 - Prob. 5.1BCYUCh. 5.2 - Prob. 5.2CYUCh. 5.3 - Prob. 5.3CYUCh. 5.4 - Prob. 5.4CYUCh. 5.5 - Prob. 5.5CYUCh. 5 - Prob. 1QPCh. 5 - Prob. 2QPCh. 5 - Prob. 3QPCh. 5 - Prob. 4QP
Ch. 5 - Prob. 5QPCh. 5 - Prob. 6QPCh. 5 - Prob. 7QPCh. 5 - Prob. 8QPCh. 5 - Prob. 9QPCh. 5 - Prob. 10QPCh. 5 - Prob. 11QPCh. 5 - Prob. 12QPCh. 5 - Prob. 13QPCh. 5 - Prob. 14QPCh. 5 - Prob. 15QPCh. 5 - Prob. 16QPCh. 5 - Prob. 17QPCh. 5 - Prob. 18QPCh. 5 - Prob. 19QPCh. 5 - Prob. 20QPCh. 5 - Prob. 21QPCh. 5 - Prob. 22QPCh. 5 - Prob. 23QPCh. 5 - Prob. 24QPCh. 5 - Prob. 25QPCh. 5 - Prob. 26QPCh. 5 - Prob. 27QPCh. 5 - Prob. 28QPCh. 5 - Prob. 29QPCh. 5 - Prob. 30QPCh. 5 - Prob. 31QPCh. 5 - Prob. 32QPCh. 5 - Prob. 33QPCh. 5 - Prob. 34QPCh. 5 - Prob. 35QPCh. 5 - Prob. 36QPCh. 5 - Prob. 37QPCh. 5 - Prob. 38QPCh. 5 - Prob. 39QPCh. 5 - Prob. 40QPCh. 5 - Prob. 41QPCh. 5 - Prob. 42QPCh. 5 - Prob. 43QPCh. 5 - Prob. 44QPCh. 5 - Prob. 45QP
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- 2. On August 27, 2003, the planet Mars was at a distance of 0.373 AU from Earth. The diameter of Mars is 6788 km. a) Calculate the angular diameter of Mars, as seen from Earth on August 27, 2003. Give your answer in arcminutes.arrow_forwardMercury's orbit ranges from 46 to 70 million km from the Sun, while Earth orbits at about 150 million km. a. The Sun has a 30-arc-minute diameter viewed from Earth; what range of sizes does it have when viewed from Mercury? When Mercury is 46 million km from the Sun, the Sun has a diameter of When Mercury is 70 million km from the Sun, the Sun has a diameter of arc-minutes. arc-minutes. b. At Mercury's orbital extremes, how many times stronger is the Sun's radiation on Mercury than on Earth? At 46 million km, the Sun's radiation is times stronger than on Earth. At 70 million km, the Sun's radiation is times stronger than on Earth.arrow_forward1. The diameter of the Sun is equal to 1.392 × 10⁹ m, and the distance from the Sun to Saturn is equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system, and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer in meters. b) The actual diameter of Saturn is 116,460 km. What would be Saturn's diameter in your scale model? Give your answer in centimeters.arrow_forward
- 2. Over several months an astronomer observes an exoplanet orbiting a distant star at a distance of 5.934 AU. Its orbit period was projected to be 3.875 years. Convert the orbit radius to meters and period to seconds. Use this information to calculate the mass M of the star in kg and solar mass units (Mo). Star Exoplanet Orbit radius (m) Orbit period (s) Star mass (kg) Star mass (Mo)arrow_forwardQ.4. The angular diameter of the sun from earth is 16 minute. If the distance of earth from the sun is 1.49×10¹¹m, then what will be the diameter of sun?arrow_forward2. How long would a radar signal take to complete a round-trip between Earth and Mars when the two planets are 0.7 AU apart?arrow_forward
- Which statement describes the sun's position relative to planetary orbits? A. The sun is at the center of each planet's circular orbit. B. The sun is midway between the foci of each planet's elliptical orbit. C. The sun is one focus of each planet's elliptical orbit. D. The sun alternates between the two foci of planetary orbits.arrow_forwardMars 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 formarrow_forwardOne way to recognize a distant planet is by its motion along its orbit. If Uranus circles the Sun in 84 years, how many arc seconds will it move in 24 hours? (For the purposes of this problem, ignore the motion of Earth.)arrow_forward
- The light a planet receives from the Sun (per square meter of planet surface) decreases with the square of the distance from the Sun. So a planet that is twice as far from the Sun as Earth receives (1/2)2=0.25 times (25%) as much light and a planet that is three times as far from the Sun receives (1/3)2=0.11 times (11%) as much light. How much light is received by the moons of Jupiter and Saturn (compared to Earth), worlds which orbit 5.2 and 9.5 times farther from the Sun than Earth?arrow_forwardAccording to the solar nebula theory, why is the Earth’s orbit nearly in the plane of the Sun’s equator?arrow_forwardVenus orbits 0.72 AU from the Sun. What is that distance in kilometers? (Hint: See Problem 3.)arrow_forward
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