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 1, Problem 31Q
To determine
The distance of Voyager spacecraft from earth, when it sent the picture of Neptune.
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The 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!
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…
You are making a scale model to visualize the relative sizes of the planets in our solar system. The scale of the model is: 1 cm = 2000 km. The radius of Saturn is 60,000 km. At what radius will Saturn appear on your scale model?
Chapter 1 Solutions
Universe: Stars And Galaxies
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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?arrow_forwardThe value we have just calculated is the combined masses of Jupiter and Callisto! Their mass is in units of the Sun's Mass (MS) - we can convert this to units which are more familiar to us like kilograms by multiplying this answer by the scale factor (1.99x1030 kg/1 MS): (MJupiter + MCallisto) = ( MS) (1.99x1030 kg/1 Solar Mass) = _______x_10___ kg (I have already written the x 10 so you are reminded to write the exponenet of 10 in the scientific notation expression of your answer). Since you know from looking at pictures of Jupiter with its Galilean Satellites (look in your book at a picture if you have not already), that Callisto is much smaller than Jupiter - in fact it is less than 0.001 of Jupiter's size or mass, so the number we have just calculated for (MJupiter + MCallisto) is almost the same as MJupiter . How much more massive is Jupiter than the Earth? (The mass of Earth is about 5.98 x 1024 kg)arrow_forwardEarlier in this chapter, we modeled the solar system with Earth at a distance of about one city block from the Sun. If you were to make a model of the distances in the solar system to match your height, with the Sun at the top of your head and Pluto at your feet, which planet would be near your waist? How far down would the zone of the terrestrial planets reach?arrow_forward
- Why do we say that Neptune was the first planet to be discovered through the use of mathematics?arrow_forwardThe closest approach distance between Mars and Earth is 56 million km. Assume you can travel in a spaceship at 58,000 km/h (which is the speed achieved by the New Horizons space probe that went to Pluto and is the fastest speed so far of any space vehicle launched from Earth). How long would it take you in hours to get to Mars at the time of closest approach?arrow_forwardThe figure on the right shows a portion of the ring and moon system of Saturn. The inner edge of the Cassini division is defined by a 2:1 resonance with Mimas; that is, a particle at that distance orbits twice for every one orbit made by Mimas, and as a result, it feels an unbalanced gravitational tug outward. If Mimas has an orbital semimajor axis of 185,539 km, what is the semimajor axis of the inner edge of the Cassini division in km?arrow_forward
- Pluto has been hard to measure from Earth because of the atmosphere. In 2007 Young and Buie measured Pluto as having a diameter of 2322 km. In 2015 the New Horizons probe reached pluto and measured it up close and we now know the actual diameter is 2372 km. What was the percent error of the 2007 measurement? Enter your answer as a percent with a negative value if the 2007 measurement was too small and a positive value if it was too large.arrow_forwardYou are elected as the chief engineer of a project to explore the whole Solar System. Your aim is to design, manufacture and run a satellite -or- a device -or- a spaceship -or- "something" that will travel to each planet in the solar system, explore it and then send the data gained back to Earth. What points you consider as important stages of the project? What kind of travel method(s) you would use to cover whole solar system? How are you going to send back the data you gathered during the exploration?arrow_forwardThe gravity on Mars is about 38% that of Earth's gravity. Let's say some cargo has a mass of 15 kg here on Earth. First, what would be the weight of that cargo in kilograms on Mars? Explain your answer. Second, what would be the mass of that cargo in kilograms on Mars? Explain your answer.arrow_forward
- Imagine you grew up on Mars, whose semi-major axis is 1.5 AU. In observing the planets over your lifetime from the Martian surface, what is the largest angular separation you would see between the Earth and the Sun? Take the orbits of the Earth and Mars to be circular.arrow_forwardConsider the attached light curve for a transiting planet observed by the Kepler mission. If the host star is identical to the sun, what is the radius of this planet? Give your answer in terms of the radius of Jupiter. Brightness of Star Residual Flux 0.99 0.98 0.97 0.006 0.002 0.000 -8-881 -0.06 -0.04 -0.02 0.00 Time (days) → 0.02 0.04 0.06arrow_forwardVenus can be as bright as apparent magnitude -4.7 when at a distance of about 1AU. How many times fainter would Venus look from a distance of 7pc? Assume Venus has the same illumination phase from your new vantage point. (Hint: Recall the inverse square law; also, review the definition of apparent visual magnitudes. Note: 1 pc = 2.1 x 10^5 AU _______ times fainter what would it's apparently magnitude be? _______arrow_forward
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