Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 1CLC
To determine
The time taken by Pluto to revolve around the Sun, given that the semi-major axis of Pluto is 39.5 au.
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(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)
The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of R1b=1.6456x10^6km. Another planet in the system has an orbital radius of R1f=5.5352x10^6 km. Calculate its orbital period in days.
A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.
Chapter 4 Solutions
Universe
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- What is the radial acceleration (m/s) of mercury if orbital period is 88 days and orbit radius is 5.79x10^7arrow_forwardSaturn's mass is M= 5.69 x 1026 kg and its radius R=60,300 km. If a moon orbits Saturn at a distance equal to 5 times its planetary radius, what is its period of orbit? (Hint, use Newton's version of Kepler's 3rd law, and you can neglect the mass of the moon) Express your answer in days to three significant figures.arrow_forwardThe 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?arrow_forward
- It takes Mercury about 88 days to revolve once around the sun. It takes Jupiter about 11.86 years to revolve once around the sun. How many revolutions does Mercury make around the sun in the time it takes Jupiter to revolve once around the sun? Use the conversion factor of 1 year = 365 days. Round your answer to the nearest tenth.arrow_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_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_forward
- The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. Which of the following describes this best? a. It arrives at Mars orbit at the same moment that Mars is there, and must speed up to go into an orbit next to Mars or else drop back into perihelion (closest to the Sun) at Earth's orbit. b. It arrives at Mars orbit at the same moment that Mars is there, and must slow down to go into an orbit next to Mars or else drop back into perihelion (closest to the Sun) at Earth's orbit. c. It flys past Mars on its trajectory unless it is braked by accelerating toward the Sun. It which leaves Earth when Mars is nearly…arrow_forwardThe semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. Which of the following describes this best? It arrives at Mars orbit at the same moment that Mars is there, and must speed up to go into an orbit next to Mars or else drop back into perihelion (closest to the Sun) at Earth's orbit. It arrives at Mars orbit at the same moment that Mars is there, and must slow down to go into an orbit next to Mars or else drop back into perihelion (closest to the Sun) at Earth's orbit. It flys past Mars on its trajectory unless it is braked by accelerating toward the Sun. It which leaves Earth when…arrow_forwardIs 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)arrow_forward
- The Great Red Patch is the name given to Jupiter's large red spot.Is it possible to forecast how long it will take for the planet to complete its rotation?arrow_forwardThe Great Red Patch is a huge, oval, crimson spot on Jupiter. On how to anticipate the planet's rotation period?arrow_forwardThe asteroid Icarus has a perihelion distance of 0.19 AU and an orbital eccentricity of 0.83. What is its semimajor axis from the Sun?arrow_forward
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