Astronomy Today (9th Edition)
9th Edition
ISBN: 9780134450278
Author: Eric Chaisson, Steve McMillan
Publisher: PEARSON
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Chapter 1, Problem 6P
To determine
The diameter of Venus (in kilometers) if the angular size of Venus is
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(a) Calculate Venus' mass given the acceleration due to gravity at the north pole is 8.865 m/s? and the radius of Venus at the pole is 6,052 km.
M.
calculated
| kg
(b) Compare this with the accepted value of 4.868 x 1024 kg.
calculated
M
аcсepted
According to Lunar Laser Ranging experiments the average distance LM from the Earth to theMoon is approximately 3.85 × 105 km. The Moon orbits the Earth and completes one revolutionin approximately 27.5 days (a sidereal month).
a) Calculate the orbital velocity of the Moon.b) Calculate mass of the Earth.
The average Earth-Moon distance is 3.84 X 10^5 km, while the Earth-Sun is 1.496 X 10^8 km. Since the radius of the Moon is
1.74 X 10^3 km and that of the Sun is 6.96 X 10^5 km.
a) Calculate the angular radius of the Moon and the Sun, qmax, according to the following figure.
D
Bax
R
b) Calculate the solid angle of the Moon and the Sun as seen from Earth.
(c) Interpret its results; Would this be enough to explain the occurrence of total solar eclipses?
Chapter 1 Solutions
Astronomy Today (9th Edition)
Ch. 1 - Prob. 1DCh. 1 - Prob. 2DCh. 1 - Prob. 3DCh. 1 - Prob. 4DCh. 1 - Prob. 5DCh. 1 - Prob. 6DCh. 1 - Prob. 7DCh. 1 - Prob. 8DCh. 1 - Prob. 9DCh. 1 - Prob. 10D
Ch. 1 - Prob. 11DCh. 1 - Prob. 12DCh. 1 - Prob. 13DCh. 1 - Prob. 14DCh. 1 - Prob. 15DCh. 1 - Prob. 1MCCh. 1 - Prob. 2MCCh. 1 - Prob. 3MCCh. 1 - Prob. 4MCCh. 1 - Prob. 5MCCh. 1 - Prob. 6MCCh. 1 - Prob. 7MCCh. 1 - Prob. 8MCCh. 1 - Prob. 9MCCh. 1 - Prob. 10MCCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Prob. 9P
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- Venus orbits 0.72 AU from the Sun. What is that distance in kilometers? (Hint: See Problem 3.)arrow_forward(a) A reasonably accurate value for the AU is 1.50 × 101 m. If the year is a × 107 s, (2) (a good approximation, and one easy to remember) calculate Earth's speed in km/s assuming a circular orbit about the Sun. (b) The experimental determination (first attempted by Cavendish in 1797/98) yields G = 6.67×10-11 N-m²/kg?. Calculate the mass of the Sun. (c) On the other hand, when we measure distances in AU and speeds in km/s, the constant in the Vis-Viva Equation is GM = 900. Explain why this is the case. (d) Once we know the distance to the Sun, using its angular size one could determine that the radius of the Sun is approximately Rsun = 7 × 10* m. Calculate the ratio of the Sun's density to that of water.arrow_forwardAt an altitude of 160 km above the earth's surface, a 3-kg mass is pushed vertically upward with a velocity of 16,000 km/h. Using the radius of the earth equal to 6357 km, calculate the maximum distance from the earth's surface reached by the mass. Present your answer in km using 4 significant figures.arrow_forward
- How much distance is Mars from the Earth?arrow_forwardAccording to Lunar Laser Ranging experiments the average distance LM from the Earth to the Moon is approximately 3.85 x 105 km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). a) Calculate the orbital velocity of the Moon. b) Calculate mass of the Earth.arrow_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_forward
- it is correct statement. plz dont rejectarrow_forwardWhat is the gravity of Mars, if the mass of the planet is 6.39x1023kg and the radius of the planet is 3397.2 km? What problems would there be on a mission to Mars?arrow_forwardCongratulations! 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 = kmarrow_forward
- Determine what the period of revolution of the Earth would be if its distance from the Sun were 3.5 AU rather than 1 AU. Assume that the mass of the Sun remains the same. The final unit should be y in the answer.arrow_forwardIf the satellite was placed in an orbit three times farther away, about how long would it take to orbit the Earth once? Answer in days, rounding to one significant figure.days Mars rotates on its axis once every 1.02 days (almost the same as Earth does). (a) Find the distance from Mars at which a satellite would remain in one spot over the Martian surface. (Use 6.42 1023 kg for the mass of Mars.)m(b) Find the speed of the satellite.m/sarrow_forwardOne 'day' on Planet X equals 16 Earth hours.A geostationary communications satellite orbits Planet X with an orbit radius of 500 x103 km. What is the orbit radius of I 'polar orbiting' satellite that orbits Planet X 36 timesper 'day. Express the result in km.arrow_forward
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