One of the brightest comets of the 20th century was Comet Hyakutake, which passed close to the sun in early 1996. The orbital period of this comet is estimated to be about 30,000 years. Find the semimajor axis of this comet’s orbit. Compare it to the average sun–Pluto distance and to the distance to Alpha Centauri, the nearest star to the sun, which is 4.3 light-years distant.

Q: spacecraft in orbit has the following orbital elements: Semi-major Axis = 10,000 km Eccentricity =…

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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: A certain satellite is in an orbit around the earth whose nearest and farthest points from the…

A: Given: The nearest point of the satellite from the earth's center is rp=6300 km. The farthest point…

Q: satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution…

A: Given  R1 = r  T1 = 36.6 h  R2 = 4 r  T2 = ?

Q: A satellite orbits a planet in a circular orbit at an altitude (distance above the surface) of…

A: distance above the surface (h) = 1000 km = 106 m radius of planet (R) = 8000 km = 8×106 m mass of…

Q: A comet is observed approaching the earth when it is 402,000 km from the center of the earth with a…

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Q: In order better to map the surface features of the Moon, a 309 kg imaging satellite is put into…

A: Write the given values, and calculate the distance (r) of the satellite from the Moon’s center.

Q: At apoapsis (furthest point from the star), the

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Q: Io orbits Jupiter at an average distance of 4.22 105 km with an orbital period of 0.00485 yr. The…

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

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Q: Callisto and lo are two of Jupiter's satellites. The distance from Callisto to the center of Jupiter…

A: Given data *The distance from Callisto to the center of Jupiter is approximately 4.5 times the…

Q: Calculate the orbital speed (in m/s) of a satellite that circles the Earth with a time period of…

A: Given:- a satellite that circles the Earth with a time period of  12.00  hours.  The mass of the…

Q: In 2014, a space probe approached the rocky core of the comet Churyumov–Gerasimenko, which is only a…

A: Given, Distance = 30 Km Mass = 1.0 x 1013 kg

Q: Voyager 1 and Voyager 2 surveyed the surface of Jupiter’s moon Io and photographed active volcanoes…

A: Given data: Height above surface of moon is, h=70 km=70×103 m. Mass of lo is, M=8.9×1022 kg. Radius…

Q: 9.0 × 10 3 kg satellite with an orbital radius of 3.20 × 10 7 m orbits the earth at an altitude of…

A: Given: The mass of the satellite is 9x103 kg. The orbital radius of the satellite is 3.2x107 m. The…

Q: The orbit of Comet UX209 about the Sun is not a circle but it orbits once every 365 days, just as…

A: Orbital bodies sweep a constant volume per unit time. Hence, speed of a planet is faster at…

Q: The International Space Station is in a 250-mile-high orbit. What is the station's orbital speed?…

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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: there is satellite orbits around a planet with a mass of 6.75x10*25 kg in a circular radius of 2.0 x…

A: Given:Mass,M=6.75x1025 kg circular radius,R= 2.0 x 108 mG= 6.67 × 10-11m3/kgs2Find the orbital speed…

Q: At apogee, the center of the moon is 406,395 km from the center of Earth and at perigee, the moon is…

A: Moon at the perigee and apogee of Earth. Mass of Earth, M = 5.98 X 1024 kg Distance b/w centre of…

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: The largest and shortest distance of earth from the sun arer, and r. Its distance from the sun when…

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Q: The Solar Maximum Mission Satellite was placed in a circular orbit about 150 mi above Earth.…

A: Given:  h = 150 miles = 150 x 1.6 = 240 km  radius of earth, R = 6400 km mass of earth,M = 6 x 1024…

Q: A satellite in the shape of a sphere of mass 20,000 kg and radius 5.0 m is spinning about an axis…

A: The moment of inertial of the solid sphere is

Q: A  satellite is placed in orbit about a planet that has a radius of 6 x 106 m, mass = 6 x 1024 kg.…

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Q: Given the mass of the Earth is 5.98 x1024 kg and a satellite orbits the Earth once every (a) Find…

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Q: Suppose one of the Global Positioning System satellites has a speed of 4.34 km/skm/s at perigee and…

A: Given - speed of satellite v1= 4.34 km/s at perigee. Speed at apogee v2 = 3.20 km/s Distance from…

Q: The Earth’s radius is about 6400 km. The International Space Station (ISS) orbits about 400 km above…

A: Given  Radius of earth Re= 6400 km = 6400000m                                   6.4 × 106 m Distance…

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: Given: The speed of comet is 2.0x104 m/s. The initial distance from the center of the Sun is…

Q: What is the minimum orbital period of motion of a silicate rock with A=0.4 around the sun?

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

A: GIVEN :             Time period = T = 76.3 yrs = 76.3 x 365days x 24hrs x 3600sec = 2406196800 secs…

Q: A newly discovered planet is in a circular orbit around a distant star with an orbital period of 325…

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Q: A comet moves in an elliptical orbit around a star. When it is closest to the star at a distance of…

A: Answer :   r2 = 9.2 ×1010 m

Q: t is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x…

A: Angular momentum of comet around sun remains constant.

Q: A satellite is orbiting the Earth in a prograde (eastward-moving) orbit.  It's out beyond the Clarke…

A: As time period of satelite is 25 hours, and it is moving eastward as per mentioned in question. Now…

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 comet Hale-Bopp has an elliptical orbit with the sun at one focus and has an eccentricity of e ≈…

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Q: Neglecting Earth's rotation, show that the energy needed to launch a satellite of mass m into…

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Q: A satellite, with a mass of M=7.30x10^22 kg, moves in a circular orbit of radius R=3.80x10^09…

A: Given :   Mass of satellite, M = 7.30*1022 kg   Radius of circular orbit, R  = 3.80*109 m   Time for…

Q: A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at…

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Q: The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a…

A: Given Data: mass of Rom (Mr) = 5.7 * 1026 Kg mass of Galla (MG) = 2 * 1030 Kg radius Of Rom (R) =…

Q: The latest Space X mission took 4 astronauts to a circular orbit around the Earth. The orbital speed…

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Q: Saturn orbits the Sun at an average distance of 1.43 x 109 km with an orbital period of 29.46 yr.…

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Q: A communications satellite with a 24-hour period hovers over a fixed point on Earth and, to Earth…

A: The rotational velocity of the Earth is maximum at the equator.