The star 51 Pegasi has about the same mass as ourSun. A planet discovered orbiting it has an orbital period of4.95 days. The mass of the planet is estimated to be 0.64 timesthe mass of Jupiter. Use Kepler’s third law to find the planet’saverage distance (semimajor axis) from its star.

Q: Mars has a Known radius of 3390 Km. Somebody threw a baseball at 990 Km/hr and it orbited the planer…

A: Given, radius = 3390 km  v = 990 km/hr  Circumferential = 2πr = 2×3.14×3390 C = 21289.2 km Time…

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: We would like to be able to make meaningful interpretations of variations in the acceleration due to…

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

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts (a, b,…

Q: One 'day' on Planet X equals 16 Earth hours.A geostationary communications satellite orbits Planet X…

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Q: Many people mistakenly believe that the astronauts that orbit Earth are “above gravity.” Calculate g…

A: The acceleration due to gravity is given by The space shuttle territory is 200000 meters above the…

Q: Neptune circles the Sun at a distance of 4.30 x 10^12 m once every 164 yeras. Saturn circles the Sun…

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Q: The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a…

A: Given:   mass of mars (Mm) = 6.42*1023kg    mass of phobos (Mp) = 1.06*1016kg     Distance between…

Q: Consider an imaginary planet in our solar system at an average distance of 25 AU from the Sun. (a)…

A: Given that: r=25 AU=25×1.5×1011 m e=0.4 Mass of sun, M=1.989×1030 kg

Q: The orbit of mars about the sun is elliptical with the sun at one focus. If the minor axis of this…

A: Given, The orbit of mars about the sun is elliptical with the sun at one focus. Minor axis, b =…

Q: A planet of mass ?=6.65×1024 kg orbits a star of mass ?=1.55×1029 kg in a circular path. The radius…

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Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…

A: As gravitational force is equal to the centripetal force, The angular speed is given by, The time…

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: Question 9: Now imagine that after the GMT has started operation in 2036, its planet imager…

A: Step 1: Given: Orbital period of the planet(P) = 17.2 yr = 2.27×108s Semimajor axis a=5.3 AU =…

Q: A planet of mass ?=7.75×1024 kg orbits a star of mass ?=1.35×1029 kg in a circular path. The radius…

A: mass of planet = 7.75×1024 kg mass of star = 1.35×1029 kg radius of orbit = 6.15×010 m

Q: 3) A spacecraft is in a circular orbit of 180 km altitude and inclination 30 deg. What is the…

A: A spacecraft is in a circular orbit of 180 km altitude and inclination 30 deg. What is the spacing…

Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

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Q: One year on Planet AAA is 5 time the length of one earth year and it orbits its sun at an average…

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Q: A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of…

A: To calculate the planet's orbital period, we use the Kepler`s law,

Q: Planet X with a radius of 4.0 Rearth⊕ is found orbiting a star of mass 0.80M⊙ . The eccentricity of…

A: Given: Radius of the planet, Rx = 4Re (Re = Radius of earth)mass of the central star, Ms =…

Q: A planet of mass ?=5.45×10^24 kg is orbiting in a circular path a star of mass ?=4.45×10^29 kg . The…

A: We can use the Kepler’s third law equation to solve this problem. The expression for orbital period…

Q: A comet has a period of 76.3 years and moves in an elliptical orbit in which its perihelion (closest…

A: Given data- A comet has a period a T=76.3 years Perihelion d=0.610 AU

Q: Saturn's moon Titan is observed to orbit with a period = 15.945 days and at a %3D distance =…

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Q: Determine the years it would take to go from Mars to Jupiter on a Hohmann ellipse.

A: Solution: To determine the time it would take to go from Mars to Jupiter on a Hohmann ellipse, we…

Q: The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a…

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Q: An object of mass mm is launched from a planet of mass MM and radius RR.  a) Derive and enter an…

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Q: distance from the earth's surface reached by the mass.

A: Given: Mass of object is m=3 kg Initial position of object is 160 km above earth's surface. Object…

Q: The free-fall acceleration on the surface of a fictional planet is about 1/7 that on the surface of…

A: Ration of average densities of pp/pe = 1/4.26                          pp: pe = 1 : 4.26

Q: In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to…

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Q: A moon is orbiting its planet in UCM. If the planet has a mass of 2.6 x 1026kg and the moon is…

A: Given data: The moon have uniform circular motion  Mass of planet (M) = 2.6×1026 kg Speed (v) =…

Q: A person weight 186 bf at sea level. The radius of the Earth is 3,956 miles. The person epects to be…

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