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.

Q: Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars…

A: The average distance between the mercury and mars is The average distance between the venus and…

Q: of Kepler's third law to

A: mean orbital radius of mercury (r)=5.8x1010m/s  mass of sun(M)=1.99x1030kg  orbital velocity…

Q: Mars is 1.53 times as far from the sun as earth is. Use kepler’s 3rd law to predict the time…

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Q: Which variable has greater influence on the calculated mass of the planet: the semi -major axis or…

A: To analyze the given question we need a relation between mass of the planet(M), orbital period(T) of…

Q: 16. What is the orbital period of Deimos? Recall Kepler's 3rd law: (Ta/Tb)^2 = (Da/Db) ^3 where Ta &…

A: In this question we have to find the orbital period(Tb) of Deimos. Given : Ta=0.319 days Da=9378 km…

Q: Mercury takes 88 days to complete an orbit around the Sun; Venus takes 225 to complete an orbit…

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Q: While looking through the Mt. Palomar telescope, you discover a large planetary object orbited by a…

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Q: 1.) Titan, the largest moon of Saturn, has a mean orbital radius of 1.22x10° m. The orbital period…

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Q: Leave the Moon's orbital period constant. How does changing the amplitude (semi-major axis) of the…

A: Orbital time period of planet =T (say) = constant. According to Kepler's third law the time period…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

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Q: Between Mars and Jupiter the asteroid Ceres orbits the sun at an average radius of 2.766 AU. Use…

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Q: 1. The average orbital distance of Mars is 1.52 times the average orbital distance of the Earth.…

A: The orbital radius of mars Rm=1.52Re where Re is orbital radius of the Earth. Time period of orbit…

Q: Calculate the force of gravity on a (1.2x10 to the power of negative 5 kg) space station at a…

A: so I am quite sure, the values in the power of 10 must be positive because having a mass of…

Q: mass of that planet

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Q: Mars is 1.53 times as far from the sun as earth is. Use keplers third law to predict the time…

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Q: The Moon has a period of 27.3 days and a mean distance of 3.9x105 km from its center to the center…

A: a) Consider the time period of Moon is TM and the distance of Moon from Earth is rM . Use Kepler’s…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

A: Radius of earth (R) = 3958.8 miles Mass of earth (M) = 5.972×1024 kg Time (T) = 14.231 hours=…

Q: A synchronous satellite, which always remains above the same point on a planet's equator, is put in…

A: Write the expression of the altitude from the center of the mars. r=GMT24π2

Q: (a) Calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these…

A: It is given that,

Q: Mars is 1.53 times as far from the Sun as Earth is. Use Kepler's third faw to predict the time…

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Q: one trajectory that can be used to send spacecraft from earth to mars is an elliptical orbit that…

A: Given data: On the elliptical path of spacecraft, earth is at perihelion position and mars is at…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

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Q: Show that the radius r of the orbit of a moon of a given planet can be determined from the radius R…

A: Given values,  Radius of Jupiter = R = 71492 km Time required to complete one full rotation = 3.551…

Q: You are a space explorer who is on an expedition of scientific discovery to another galaxy.…

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Q: Question 1 A mini satellite weighing 50 kg is going to be launched into an orbit around earth by a…

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Q: A projectile is fired straight upward from planet's surface with a speed that is 1/7 the planet's…

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Q: Between mars and Jupiter the asteroid ceres orbits the sun at an average radius of 2.766 AU. Use…

A: Given:Average radius of the orbit, a = 2.766 AUAsked:Calculate time taken by Ceres to complete 1…

Q: Measure the periods for each planet.   Measure the orbital radius of each planet. Calculate the…

A: From figure, For yellow planet, Time period  Ty = 87  unit Orbital radius Ry = x = 0.5921 Unit…

Q: The orbital speeds of the planets Mercury and Mars are v(Mercury) = 50 km / s and V(Mars) = 24.2 km…

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Q: <Circular Motion, Planets, and Gravity Problem 5.63 6 of 6 Constants Determine the mean distance…

A: Given: Distance of Io, rIo = 422×103 km Period of Io, TIo = 1.77 days Period of Europe, TEu = 3.55…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

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Q: Scientists determine the masses of planets by observing the effect of the gravitational field of…

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Q: 10. The chart below shows the diameters of the planets in the Solar System relative to Earth's…

A: 10. From the table, the diameter of Venus is  0.948 times the diameter of the Earth. Now, the…

Q: Mars has two moons. Phobos and Deimos, which both have about the same mass. The force of gravity…

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Q: The table below lists the average distance R to the Sun and orbital period T of the first planets:…

A: As the orbits are considered to be circular, the average distance between two planets is the…

Q: Using the public data from Hubble Space Telescope, a citizen scientist discovers a previously…

A: distance of body from sun = 4 Time the distance of earth from sun using keplers lawT2 α R3

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

A: radius of earth (R)= 3958.8 miles Mass of earth (M) = 5.972×1024 kg Time period (T) = 14.137 hours…

Q: In the attached diagram, a small sphere is projected horizontally near the surface of a planet.…

A: From the diagram, the total vertical distance from the starting point to the end is calculated using…

Q: At their closest approach, Venus and earth are 4.20x 10^10m apart. The mass of Venus is 4.87x…

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Q: roblem B.2: Distance of the Planets The table below lists the average distance R to the Sun and…

A: The astronomical units are used for the calculation of the distances in the solar system. It is…

Q: 4. The planet Uranus has a radius of 25,360 km and a surface acceleration due to gravity of 9.0 m/s²…

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Q: If two planets have the same radius and one has a greater density (and hence a greater mass) than…

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