Kepler S Laws of Planetary Motion

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Kepler S Laws of Planetary Motion Questions and Answers

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Kepler's laws do not have mass as a variable, and the mass of an orbiting body can t be determined based on its Kepler orbit parameters. Newton's laws can be used to derive Kepler's laws, and here...
Use these equations: r aphelion = a ( 1 + e ) r perihelion = a ( 1 - e ) Find the Perihelion of Earth (in AU), which has an eccentricity of e = 0.017 and a semi-major axis, a = 1AU.
Kepler's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path described as an ellipse. The distance from the Sun changes over the course...
Consider a satellite with a period of 8.5 hours. If the radius of the satellite s orbit is doubled, what is the period for new satellite s orbit?
Determine the mass of Jupiter using the data for Io, moon of Jupiter. Express your answer using three significant figures and include the appropriate units. Mass of Io = 8.9 \times 10^{22}\ kg Peri...
Suppose the moon of a planet in a distant solar system has an average orbital radius of 2.62 x 10^8 m. If it completes its orbit in 20.1 earth days, what is the average gravitational acceleration k...
Explain about the orbit of the Moon around Earth.
It takes Pluto a longer time to travel around the sun than the Earth because Pluto: a. has farther to go. b. goes slower. c. a and b. d. none of these.
You have been sent in a small spacecraft to rendezvous with a space station that is in a low circular Earth orbit, say, with a radius of 6,720 km, approximately that of the orbit of the Internation...
A planet with mass 7 \times 10^{24}\ kg orbits a Sun with a period of 1 Earth year. The speed of the planet around that Sun is constant and |v| = 43000\ m/s. What is the mass of that Sun?
Prove that Kepler's third law holds true for each of the terrestrial planets.
State Kepler's law of planetary motion.
Recently, Asteroid 2012 DA14 came within 34,200 km from the center of the earth at its point of closest approach. If the moon goes around the earth once every 27.5 days, what is the ratio of the di...
The distances from the Sun at perihelion and aphelion for Pluto are 4.410 times 10^9 , km and 7.360 times 10^9, km , respectively. What is the ratio of Pluto's orbital speed around the Sun at p...
You have been sent in a small spacecraft to rendezvous with a space station that is in a low circular Earth orbit, say, with a radius of 6,720, km , approximately that of the orbit of the Internat...
A) the earth year is 365.25 days long. How long would our year be if earth followed the same orbit, but was only the mass of Mars? Answer this in earth days. B) How long would our year be if the e...
1. What is the speed of a satellite moving around the earth in a circular orbit that has a radius equal to six times the earth's radius of 6.38 x 10^6 meters? 2. What is the satellite's orbital per...
An object of mass 3.5 times 10^{23}, kg circles the earth and is attracted to it with a force whose magnitude is given be GMeM/r^2 . If the period of rotation is 22 days, what is the distance...
Explain how Newton developed a theory to explain why the planets move according to Kepler's laws of planetary motion.
A black hole is an object with mass but no spatial extent. It truly is a particle. A black hole may form from a dead star. Such a black hole has a mass several times the mass of the Sun. Imagine a...
A planet is 97 times farther from the sun than the earth, or 97 Astronomical units How many years would it take the planet to orbit the sun?
I have a drawing of a satellite orbiting the sun in an elliptical shape. The sun is closer to the right side of the ellipse. As the satellite travels from the left side of the ellipse to the right,...
(a) Find the speed of a satellite moving around the earth in a circular orbit that has a radius equal to six times the earth's radius of 6.38 times 10^6, m . (b) Find the satellite's orbital peri...
Halley's comet orbits the Sun with a period of 76.2 years. a) Find the semi-major axis of the orbit of Halley's comet in astronomical units. (There is a simple form of Kepler's Third law for objec...
Satellites A and B are in circular orbits, with A two and a half times as far from earth's center as B. How do their orbital periods compare?
The asteroid Icarus, though only a few hundred meters across, orbits the Sun like the other planets. Its period is about 410 days. What is its mean distance from the Sun?
A planet has two satellite moons. Moon X has an orbital period of 2.13 days. Moon Y has an orbital period of about 3.53 days. Both moons have nearly circular orbits. Use Kepler's third law to find...
Io, a small moon of the giant planet Jupiter has an orbital period of 1.77 days and an orbital radius equal to 4.22\times10^5 \ km. From these data, determine the mass of Jupiter.
A geostationary Earth-orbiting satellite has an orbital period of 24 hours, the same as the rotation period of Earth so that it is always above the same location on the planet. Assuming a circular...
A 21.0-\mathrm{kg} satellite has a circular orbit with a period of 2.37\ \mathrm{h} and a radius of 8.50\times 10^6\ \mathrm{m} around a planet of unknown mass. If the magnitude of the gravitationa...
A spy satellite is in circular orbit around Earth. It makes one revolution in 6.05 hours. (Radius of the Earth = 6.371 \times 10^6\ m) (a) How high above Earth's surface is the satellite? (b) Wha...
Neptune orbits Sun at an average distance (semi-major axis) of 30.11 \ A.U. once every 164.8 years. Saturn orbits Sun at an average distance of 9.55 \ A.U. What is the orbital period of Saturn?
Saturn has a number of moon's, the biggest of which are Titan, Rhea, Dione, and Tethys. Dione and Tethys are almost the same size, but Dione is 377,000 \ km from Saturn while Tethys is 295,000 \ km...
It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit. Assuming that Jupiter's orbit is truly circular, what is the distance from Jupiter to the sun, given that the...
How many Earth years does it take Jupiter to orbit the Sun once, assuming a circular orbit and one Earth year as 365.25 days?
In 'Stranger in a Strange Land', Robert Heinlein claims that travelers to Mars spent 258 days on the journey out, the same for return, 455 days waiting at Mars while the planets crawled back into p...
Draw areal velocity versus time graph for Mars.
A comet is in an elliptical orbit around our Sun. At its point of closest approach, it is moving at 6.3 \times 10^4 m/s and is 4.2 \times 10^{10} m away from the sun. When it is at the farthest dis...
Suppose that a comet that was seen in 545A.D. by Chinese astronomers and was spotted again in year 1937. Assume the time between observations is the period of the comet and take its eccentricity as...
Kepler's third law states that the square of a planet's orbital what is proportional to the cube of the planet's average orbital what?
Kepler's second law states that, if a line is drawn between a planet and the Sun, equal what are swept out in equal times? In other words, how do planets move, when closer to the Sun?
Kepler's first law states that the shape of the orbits of the planets is what, with the Sun at one what?
The moon has a period of 27.3 days and a mean distance of 3.90 times 10^5, km from the center of Earth. a) Use Kepler's laws to find the period of a satellite in orbit 6.70 times 10^3, km f...
An asteroid revolves around the Sun with a mean orbital radius twice that of Earth's. Predict the period of the asteroid in Earth years. ( 6.38 ast 10^6 radius)
A satellite is placed between the Earth and the Moon, along a straight line that connects their centers of mass. The satellite has an orbital period around the Earth that is the same as that of the...
If a hypothetical planet in our Solar System had a sidereal period of 11.1 Earth years and a circular orbit, how far from the Sun in Astronomical Units would it be? (Show your work.)
Halley's comet moves about the sun in an elliptical orbit with its closest approach to the sun being .59AU and its greatest distance being 35AU (1AU=Earth-sun distance). If the comet's speed at clo...
State Kepler's law of plentary motion.
In a highly elliptical orbit, where is the Sun located?
Venus has an average distance to the sun of 0.723 au. Calculate the orbital period of Venus.
If the average distance of a planet from the sun is 1.8 AU, find out its orbital period? (answer should be in years)
Calculate the period of a planet in the sun system if its radius of orbit around the sun is 7.78 \times 10^{11} \text{ m} . Use k = 3.355 \times 10^{18} \text{ m}^3/\text{s}^2 .
Use Kepler s law to determine the period of a satellite that has an altitude of one earth radius above the surface of the earth.
Hermes has an elliptical orbit about the sun, with a perihelion distance of 0.622 AU and an aphelion distance of 2.69 AU. What is the period of its orbit (in years)?
The radius of the earth's orbit is 1.50 \times 10^{11} m and that of pluto is 5.93\times 10^{12} m. The star that this planet orbit is identical to our sun. What is the orbital period of this planet?
A comet (see figure below) approaches the Sun to within 0.570 \ AU, and its orbital periodis 90.6 years. (AU is the symbol for astronomical unit, where 1 \ AU = 1.50\times 10^{11} \ m is the mean E...
Planet X has 20 times the mass of the earth and four times the earth's radius. It orbits star Y at a distance of 18 \ AU, where 1 \ AU is the earth-sun distance. Star Y has twice the mass of our su...
The period of planet X is 0.62 Earth years and that of planet Y is 1.9 Earth years. Which of the following is true? a) Planet Y is closer to the sun than planet X b) Planet Y is clos...
Calculate in days the expected period of rotation of the moon around the earth. Mass of earth is 5.977 x 10^24 kg, and the mean radius of the moon orbiting around the earth is 3.844 x 10^8 m. Use T...
The moon takes about 27.3 days to revolve around the earth in a nearly circular orbit of radius 3.84\times10^5 km. Calculate the mass of the earth from these data.
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