Astronomy Today (9th Edition)
9th Edition
ISBN: 9780134450278
Author: Eric Chaisson, Steve McMillan
Publisher: PEARSON
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Chapter 2, Problem 4P
To determine
The time taken by a radar signal to complete a round trip between Earth and Mars when the two planets are
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Calculate how long radio communications from the spacecraft will take when it encounters Mars. The furthest distance from Earth to Mars is 2.66 AU. Remember that 1 AU = 1.5 x 1011 m and that light travels at 3 x 108 m/s. So how long will the radio messages take to travel this greatest distance of 2.66 AU?
If two way communication between the Earth and the spacecraft involve a 1 s time lapse before an acknowledging signal is sent by the spacecraft, how long a time is there between sending a command to the spacecraft and receiving a reply?
Is it possible to put a satellite in a “geostationary” orbit around Venus? You can assume that Venus is spherical, that its sidereal day is 5832 hours, its mass is 4.867×1023 kg and that the radius of its Hill sphere is 1.0042x106 km (Hill sphere of a planet is the region in which it dominates the attraction of satellites, a satellite has to be inside that sphere to remain around the planet)
The chart shows the length of time for each planet, in Earth days, to make one complete
revolution around the Sun.
Orbital Period of Planets iY
the Solar System
Orbital Period
(Earth days)
88
225
365
687
4333
10 759
30 685
60 189
Planet
Mercury
Venus
Earth
Mars
Jupiter
Satum
Uranus
Neptune
Source: NASA
Use the data table above to compare the length of a year on Mars and Neptune. (HS-ESS1-4)
a. One year on Neptune is almost 100 times longer than a year on Mars.
b. One year on these two planets is nearly equal.
c. One year on Mars is almost 100 times longer than a year on Neptune.
d. One year these two planets is roughly equal to a year on Earth.
Use the data table above to determine which of the following statements is TRUE. (HS-ESS1-4)
a. There is no relationship between a planet's distance from the Sun and its length of
year.
b. The closer a planet is to the Sun, the longer the planet's year.
c. One year on all planets is about 365 days long.
d. The farther away a planet is from the…
Chapter 2 Solutions
Astronomy Today (9th Edition)
Ch. 2 - Prob. 1DCh. 2 - Prob. 2DCh. 2 - Prob. 3DCh. 2 - Prob. 4DCh. 2 - Prob. 5DCh. 2 - Prob. 6DCh. 2 - Prob. 7DCh. 2 - Prob. 8DCh. 2 - Prob. 9DCh. 2 - Prob. 10D
Ch. 2 - Prob. 11DCh. 2 - Prob. 12DCh. 2 - Prob. 13DCh. 2 - Prob. 14DCh. 2 - Prob. 15DCh. 2 - Prob. 1MCCh. 2 - Prob. 2MCCh. 2 - Prob. 3MCCh. 2 - Prob. 4MCCh. 2 - Prob. 5MCCh. 2 - Prob. 6MCCh. 2 - Prob. 7MCCh. 2 - Prob. 8MCCh. 2 - Prob. 9MCCh. 2 - Prob. 10MCCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8P
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- If 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_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_forwardHow long would a radar signal take to complete a roundtrip between Earth and Mars when the two planets are 0.7 AU apart?arrow_forward
- Assume these are the mass and radius of Venus. Myenus = 5 x 1024 kg, Ryenus = 6,000,000 meters. What is the velocity required to put a satellite into stable orbit around Venus starting from the surface of Venus so that it orbits once every 24 hours? [ignore the rotational velocity of Venus and gravity of the Sun] 10.23 km/s 9.95 km/s 10.35 km/s O 10.14 km/s 10.06 km/sarrow_forwardAt its closest approach to Earth, Mars is 57.50 million kilometers away. How long (in minutes) would a radio signal sent from a future manned mission to Mars take to travel to Earth? (distance = speed x time) [55]arrow_forwardhow many seconds are in a mars year that has approx 678 earth days ?arrow_forward
- Explain the differences between the Grand Canyon on Earth and Valles Marineris on Mars.arrow_forwardWhat would be the angular diameter (in arc seconds) of a planet with diameter 8.5 x 105 km and orbital distance from it's star of 175 x 108 km as seen from a planet with. orbital distance from the same star of 70 x 107 km as seen from their closest approach?arrow_forwardHow will you determine the distance of Mars from Earth?arrow_forward
- The table below lists the average distance R to the Sun and orbital period T of the first planets: Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars 1.52 AU 687 days (a) Calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these planets is the closest to Earth on average? (b) Calculate the average distance of Mercury, Venus and Earth to Mars. Which one of these planets is the closest to Mars on average? (c) What do you expect for the other planets? Hint: Assume circular orbits and use symmetries to make the distance calculation easier. You can approximate the average distance by using four well-chosen points on the planet's orbit.arrow_forwardThe Msbar Alamal on its journey to Mars took a 7-month period, during which it traveled an estimated distance of 493 million kilometers. What was the distance covered during a 7-day period?arrow_forwardThe Hope probe on its journey to Mars took a 7-month period, during which it traveled an estimated distance of 493 million kilometers. What was the distance covered during a 7-day period? 61 8:06 AMarrow_forward
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