Imagine that ~25% of a planet's orbit while it is near perihelion is swept out over a period of 6 months. How many months would be a good approximation of the planet's orbital period?

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: Let's assume that the Moon’s orbit around the Earth is a circle with radius 386,000 km and that the…

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Q: If Martians want to launch a geostationary satellite (more accurately, "Aerostationary") to study…

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

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Q: The weight w of an object varied inversely as the square of the distance d between the object and…

A: Given: W1= 90 kg r1= 6400 km W2= weight of the man at 400 km r2= 400 km

Q: The orbital period of the moon is 27.3 d, the average center-to-center distance center distance…

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Q: An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is…

A: Kepler's third law states that the square of the period is directly proportional to the cube of the…

Q: The time separating high tides is 12 hours and 25 minutes. Assume that the high tide occurs at 2:18…

A: (a) Since the time separating high tides is 12 hours and 25 minutes, and the high tide occurs at…

Q: On the surface of the Moon an astronaut has a weight of Fg = 190 N. The radius of the Moon is Rm =…

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Q: The periods of two satellites of Saturn is P,=16 days and P2=2 days around the planet. What is the…

A: Given: The time period of the first satellite is 16 days. The time period of the second satellite is…

Q: A planet with mass 8.07x1023 kg orbits a star with mass 1.18x1030 kg. The orbit is circular, and the…

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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: A comet (see the figure below) approaches the Sun to within 0.570 AU, and its orbital period is 79.6…

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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: orbital period in years

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Q: The radius of the Earth's orbit is 1.50  1011 m and that of Mars is 2.28  1011 m. The star that this…

A: The expression for the orbital period,

Q: Assume that you weigh a merchandise using a spring balance (as shown in the figure) at the equator…

A: To solve this question, we need to use the concept of variation of acceleration due to gravity g…

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: What is the period of rotation of Venus in earth years if it is a distance of 1.08 x 1011 meters…

A: Period of rotation

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: Asteroids are believed to be material that never collected into a planet. An asteroid has a period…

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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: Compare the masses of the Sun (1.99×10" kg) and Earth (5.98×10" kg).

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Q: A planet reVolvéš ářóund a star at a distance of 88.5 x 1016 m away from it in a circular orbit. How

A: Given: The distance of planet around a star is R1=88.5X1016 Let the time period when planet around…

Q: If a planet has a period of 8 years, what is its average distance from the Sun, in astronomical…

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Q: Asteroids are believed to be material that never collected into a planet. An asteroid has a period…

A: Time period of asteroid, t = 3.6 yearsTime period of earth, T = 1 yearDistance of earth from sun, R…

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: 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: Assume the earth's mass is 85.47 x 1025 kg, and radius is 51.93 x 103 miles, what would be the…

A: Data provided:  Mass (M) = 85.47 × 1025 kg Radius (r) = 51.93 × 103 miles G =  6.67 × 10-11 Nm2/kg2…

Q: Determine what the period of the revolution of the earth would be if it's distance from the sun were…

A: Using Kepler’s third law,

Q: At some point during their orbt, the location of the Earth and Moon relative to the Sun will be as…

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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 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: A planet's orbit is described by the ellipse: y² (x-h)² a² where (all are in UAS): a =1.65, b=3.25 +…

A: Kepler was the scientist who gave 3 laws for planetary motion. Aphelion is the maximum distance…

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

A: Given,

Q: A man is standing on the moon. His mass is 100 kg. The mass of the moon is 7x10^22 kg. The radius is…

A: Given that  Mass of the moon is  m1=7×1022 Kg Mass of the man is  m2=100 Kg Radius of moon is…

Q: A new planet is discovered orbiting a distant star. Observations have confirmed that the planet has…

A: Given:-  The circular orbit with a radius of r = 12 AU  The time period is T = 117 day  Find:-  The…

Q: Saturn's mass is M= 5.69 x 1026 kg and its radius R-60,300 km. If a moon orbits Saturn at a distance…

A: Mass of Saturn = Radius of Saturn = 60300 kmLet the mass of the moon = m  kgThe velocity of the of…