Galileo is often credited with the early discovery of four of Jupiter's many moons. The moons orbiting Jupiter follow the same laws of motion as the planets orbiting the sun. One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days. Another moon is called Ganymede; it is 10.7 units from Jupiter's center. Make a prediction of the period of Ganymede using Kepler's law of harmonies.

Q: In this problem, take Earth's and Mars' solar orbits to be coplanar circles with radii 1 and 1.524…

A: Given, Mars' radius = 3393 km  Gravitational parameter = 4.297 ×104

Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Jupiter= 1.898 ⨉ 10 27kg, then, from Kepler’s third law in #4,…

A: G = 6.674 x 10-11 m3/kg/s2 Mass of jupiter, M = 1.898 x 107 kg Ignore the mass(m) of moon

Q: The Apollo 11 and 12 missions brought back different types of lunar rocks, available to see at the…

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Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Earth= 5.972 ⨉ 10 24kg and the sidereal period of the Earth is…

A: Given : Mass of Earth: 5.972×1024 kg G=6.674×10-11 m3/kg/s Period T=27.32 days

Q: Suppose you are told that a satellite orbiting the Earth has a orbital period of 0.95 hours. Part…

A: orbital period of satellite orbiting earth = 0.95 hours orbital radius of satellite = RRadius of…

Q: Comet Halley has a semi-major axis of 17.7 AU. (The AU, or Astronomical Unit, is the distance from…

A: We are given semi major axis. We are also given eccentricity. The aphelion distance is given as…

Q: Suppose humans are successful in living on the moon. They would need GPS just like on Earth to be…

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Q: A pendulum makes 10 swings every 15 seconds on Earth. You take the same pendulum to the surface of a…

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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: Approximately one billion years ago, the Moon orbited the Earth much closer that it does today. The…

A: The equation to calculate linear velocity in a circular orbit is given by: v=2πRT Here, v is the…

Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…

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Q: Saturn orbits the Sun at a distance of 9.58 times the distance from the Earth to the Sun. How long…

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Q: You can work out an object's weight using the following equation: Weight (N) = mass (kg) x…

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Q: Planet X orbits the star Omega with a "year" that is 492 days long.  Planet Y circles Omega at four…

A: Given: Planet X orbits the star Omega with a "year" that is 492 days long.  Planet Y circles Omega…

Q: Planet X orbits the star Omega with a "year" that is 650 earth days long. Planet Y circles Omega at…

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Q: Congratulations! You just derived a version of Kepler's Third Law for Mars! Using the mass of Mars…

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Q: It takes Mercury about 88 days to revolve once around the sun. It takes Jupiter about 11.86 years to…

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Q: The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's…

A: Given, The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the…

Q: I was able to determine the semi-major axis of Jupiter's moons by multiplying the angle of…

A: In this problem, it is asking why we multiply by only the angle rather than sin(angle)) during…

Q: Which of Kepler's law can be used to estimate the mass of a distant star system based on the period…

A: Please see the answer in step 2.

Q: Answer all 3 Que:1 Solve the following: a) Mercury has a Semi-major axis length of 5.790905 X 1010…

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Q: As shown below, on Venus a beam of length L is leaning against a frictionless wall and is in static…

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Q: Mars has two moons orbiting it. One moon is named Deimos ( terror/dread from Greek mythology).…

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Q: Jupiter's third-largest natural satellite, Io, follows an orbit with a semimajor axis of 422,000 km…

A: Semi major axis of Io's orbit, a = 4.22 x 105 km Orbital period of Io's orbit, P = 1.77 earth days 1…

Q: To model a moon in the solar system, consider a sphere with radius R and uniform mass density p. Let…

A: Mass density of moon is 2.7 × 103 kg/m3 R= 2.0×106 m. We know that gravitational constant G= 6.67 ×…

Q: There is a planet X that has a mass that is 24 times that of the earth and 4 times the earth's…

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Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…

A: Given Time period of UCF1.01 is T1=4.8 days And Time period of UCF1.02 is T2=5.2 days Average…

Q: Which of the following is a measurable effect of the tidal interactions between the Earth and the…

A: Given:  formation of tides

Q: 5) In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. These moons…

A: According to Kepler's Laws; Every planet is revolving around the sun in an elliptical orbit, with…

Q: to two decimal places): (what is ‘h’?)​Eccentricity of earth orbit is 0.0167​µ(sun) = 1.32712E+11…

A: a) To calculate the speed of the Earth around the sun at aphelion, we need to use the equation for…

Q: The orbit of a 1.9 x 1040 kg comet around the Sun is elliptical, with an aphelion distance of 25.0…

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Q: A large planet with a mass of 3.4e25 kg has a moon with a mass of 1.5e23 kg. If the moon orbits the…

A: Given data:  Mass of planet (m1 ) = 3.4×1025 kg Mass of moon (m2 ) = 1.5×1023 kg Radius (R) =…

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

A: The synchronous satellite’s period to complete one round around the planet will be the same as the…

Q: A planet of mass m= 8.45 x 1024 kg is orbiting in a circular path a star of mass M= 6.95 x 1029 kg.…

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Q: When NASA new horizons found that Plutos moon Charon orbits Pluto every 7.9 days at an average…

A: Required : The average mass of Pluto and Charon.

Q: Galileo is often credited with the early discovery of four of Jupiters many moons.The moons orbiting…

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Q: Far into the future scientists are exploring a new planetary system in hopes of finding an…

A: For moon A; Time period (TA)=2.3 days Orbital radius (rA)=7.87×107 m   For moon B; Time period…

Q: At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the…

A: A satellite in a geostationary orbit will move in the same direction and with the same period around…

Q: If the Earth had no Moon it would be rotating more quickly. O True O False

A: 1)Just as the Earth exerts a gravitational pull, the moon also exerts a gravitational pull on the…

Q: Which of the following statements is supported by Kepler's laws of planetary motion?   Earth orbits…

A: First statement : Earth orbits the Sun at a constant speed, never speeding up or slowing down.…

Q: The planet Saturn orbits the Sun at an average distance of 888 million miles. Use  Kepler’s 3rd law…

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Q: The moon Phobos orbits around Mars with a semi-major axis of 9376 km, and an orbital period of 7.65…

A: Conceptualize Applying Kepler's third universal law of planetary motion. T² is directly proportional…

Q: A synchronous orbit is an orbit about a planet's equator that always remains above the same spot of…

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