Determine the total orbital energy of the satellite Mars Express given that it weighs 750.00kg and is an orbit about Mars of eccentricity e = 0.571, Periareion radius of 3687.5 km, Apoarerion radius of 13, 496.5 km.

Q: In order better to map the surface features of the Moon, a 383 kg imaging satellite is put into…

A: ms=383kgMm=7.36×1022kghs=149km=149×103mR=1740km=1740×103mr=R+hs=(1740×103m)+(149×103m)=1889×103m

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

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Q: If a satellite circulate around the earth at a height of 2,317.84 km above the earth's surface,…

A: This question is based on gravitation and third law of Kepler Law for planetry motion.

Q: If the gravitational force is 4655 N between a satelite with a mass of 9 x 10^2 kg and a planet with…

A: according to newton's law of gravitation  gravitation force b/w two masses of mass m1 and m2 is…

Q: In order better to map the surface features of the Moon, a 321 kg imaging satellite is put into…

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Q: Calculate the gravitational field strength on a planet with a diameter of 12304.8 km and the escape…

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Q: If a satellite orbits the Earth at a height of 5,642.74 km above the Earth's surface what is its…

A: Solution: Given that - Earth at a height h =5,642.74 km = 5642740 m Earth's radius is r = 6370 km =…

Q: What is the acceleration due to gravity in m/s/s at an elevation of 1910 km above sea level of a…

A: Considering, mass as 3.2 x 1024, the acceleration is calculated below:

Q: 5. Mars Reconnaissance Orbiter (mass 2180 kg, distance is 170 miles up from the surface, its period…

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Q: Given: Distance of Venus to sun is 1.08×1011 m and the distance of mars to sun is 2.3x1011 m (688…

A: Solution:-

Q: If you are to install your own satellite with a mass of 585 kg to orbit around the Mars. If the…

A: Given: Satellite Mass m=585kgMars Mass M=6.4×1023kgRadius of Mars R=3390km=3390000mOrbital period of…

Q: Calculate the gravitational field strength on a planet with a diameter of 15663.9 km and the escape…

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Q: In order better to map the surface features of the Moon, a 361 kgimaging satellite is put into…

A: Given Mass (m)             = 361 kg Radius (R)           = 1740 km Moon mass (M)  = 7.36×1022 kg…

Q: satellite is observed in an elliptical orbit about the Earth. At an elevation of 81.561° above the…

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Q: Find the height of a satellite from the surface of the earth whose critical velocity is 5 km/s (G =…

A: We need to find- Height of a satellite (h)=? The data given as- Critical velocity (VC)=5 km/s G=6.67…

Q: Calculate the escape velocity to an orbit of 214 km height from a planet with the radius of 2000 km…

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Q: Given: Distance of Venus to sun is 1.08×1011 m and the distance of mars to sun is 2.3x1011 m (688…

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Q: The moon is 3.84x10^8 m, on the average , from Earth . it takes the moon 27.32 days to completely…

A: Explanation: Time period of satellite depends: Radius of orbit Mass of the planet From Kepler's…

Q: Calculate the speed (in m/s) of a satellite in an orbit, H= 3599km above the Earth's surface. Radius…

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Q: -1 A satellite is in an elliptical orbit with a semi major axis of 8000km and an eccentricity of…

A: We know, The velocity of the satellite at perigee, vp=GM1+ea1-e       Equation 1 where, GM is the…

Q: ) Calculate Jupiter's mass given the acceleration due to gravity at the north pole is 28.328 m/s2…

A: Acceleration due to gravity=28.328m Radius of Jupiter =66850km =66850000m Value of gravitational…

Q: Calculate the escape velocity to an orbit of 334 km height from a planet with the radius of 2000 km…

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Q: What would your escape velocity be from a planet with a radius of 3.75 million meters and a mass of…

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Q: Assume the orbit to be circular and 330 km above the surface of the Moon, where the acceleration due…

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Q: A satellite of mass 200 kg is launched from a site on the Equator into an orbit at 200 km above…

A: Solution: m = 200 kg h = 200 km

Q: Calculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height…

A: Mass of the planet, M=8.7×1022kg Height to the satellite's orbit, h=300km=300×103m Radius of the…

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: The radius of the Earth may be taken to be 6,371 km. Assume a satellite is in orbit at an altitude…

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Q: Calculate the eccentricity, e, of a planet's orbit around a central star if the ratio of its…

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Q: A science fiction author is writing a book where an artificial planet is constructed in our Solar…

A: Given,

Q: The orbit of a 1.5 x 1010 kg comet around the Sun is elliptical, with an aphelion distance of 33.0…

A: The problem based on the concept of a two-body central force problem. According to Kepler's first…

Q: If the radius of Mercury is ~2,440 km, what is the required tangential orbital velocity needed to…

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Q: The Molniya orbit is a 12 hour period highly eccentric orbit used by Russia for communication…

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Q: A new asteroid is discovered to have an orbital period of 4.685 yrs. Calculate the average orbital…

A: It is given that,

Q: Venus is orbiting round the sun in 225 days. Calculate the orbital radius and speed of planet.

A: Given: Mass(m)=2*1030kg G=6.67*10-11   Need to find: Orbital radius Planet speed

Q: A satellite is in a circular orbit at an altitude of 1.5 earth radii, with an inclination of 90°.…

A: (given)                   Radius (RE) of earth = 6371 km…

Q: In 2009, NASA's Messenger spacecraft became the second spacecraft to orbit the planet Mercury. The…

A: Given, height=125 miles=125x1609m=201125m RMercury = 2.44 x 106 m MMercury = 3.30 x 1023 kg So,…

Q: (a) Calculate the orbital inclination required to place a Venus-orbiting spacecraft in a 400…

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