Suppose a planet lies at a distance of 3 AU from its star when it is at perihelion. Suppose also that its aphelion distance is 2 AU. If its orbital speed at perihelion is 30 km/s, what is it at aphelion?

Q: Consider a spacecraft on a hyperbolic trajectory that will fly by Mars. The trajectory's semi-major…

A: Given:  Semi-major axis = a = -11,000 km = -11×106 m Eccentricity = e = 1.8

Q: Two meteoroids are 250,000 km from Earth's center and moving at 2.1 km/s. One is headed straight for…

A: Given :-   Vo  = 2.1 Km/s 2  r = 8500 km ro = 250,000 km g = 9.8 m/s (we know )

Q: lorge satellite of Pluto, has a circular orbital radius of 2.0 x 10* kn and an or bital period of…

A: Given : Radius of Charon  r1=2×104 Km Period of Charon T1=1.5×102 hours Radius of small satellite…

Q: Suppose we discovered a planetary body orbiting our Sun at a distance of 15 times the Earth-Sun…

A: Let distance of earth from sun = D  Time taken by earth to complete one orbit around sun = 1 year…

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

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Q: What is the escape velocity from the surface of Europa if its mass is 4.8 1022 kg and its radius is…

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Q: Pl anet # 1 M3 M: M2 R R NI u ....I R Planet # 3 Planet # 2 Planet #2 (mass M2) and planet #3 (mass…

A: Using, Gravitational force, F=GMmr2 Net force on mass-1 F1,netis zero, that means, sum of…

Q: Given the resonance of the planets around the star Kepler 223 of 8:6:4:3 how much faster does the…

A: Required : How fast does the second planet circles compared to the planet furthest from the star.…

Q: Like other objects in orbit around the Sun, the Roadster obeys Kepler's Laws. Given that the…

A: Average orbital radius  R=1.67 AU+0.99AU2=1.33 AU From Kepler's third law…

Q: What is the speed of synchronous earth’s satellite in kilometer per hour situated 4.5x10^7 meter…

A: Gravitational force on satelite = centripetal force  Gravitational force = G.M.m/r2..............(i)…

Q: In the effort to discover exoplanets a planet around another star was discovered that has a period…

A: Given: T=320 days =320*24*60*60 = 2.76*107sec M = mass of sun = 1.99*1030 kg

Q: Sally and Sam are in a spaceship that comes to within 10,000 km of the asteroid Ceres. Determine the…

A: The expression to calculate the gravitational force is F=Gm1m2r2 Substitute F=6.67×10-11…

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: Suppose a planet is discovered orbiting a distant star with 12 times the mass of the Earth and 1/12…

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Q: Calculate the magnitude of the gravitational attråct between the particle and Neptune to three…

A: Gravitational force between two masses  F = Gm₁m₂/r²

Q: Far from any other planet (), two masses M, and M. are separated by a distance R, as shown in the…

A:

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

A: The radius of the Jupiter’s moon is 1820 km. Active volcano is at height h = 70 km above the surface…

Q: Triton moon is 354,000 km away from the center of Neptune, if its time period around Neptune is 5.87…

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Q: A satellite in circular orbit 1100 kilometers above Earth makes one complete revolution every 140…

A: The angular speed of Earth can be obtained as θ=1 rev140 min×2π radians1 rev=π radians70 min

Q: What is perigee of the orbit?

A: When a satellite revolves a non circular orbit around the earth, the path of the satellite will be…

Q: If planet A and B are both circling around star A and A completes an orbit in 2 days while B needs…

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Q: If you visited a spherical asteriod 19 x 103 km (convert to m) in radius with a mass of 10.5 x 1019…

A: Given: a spherical asteroid with a radius of r=19 x 103 km=19×106 m, and a mass of  M=10.5 x 1019…

Q: Apophis has an elliptical orbit about the Sun, with a perihelion distance of 0.746 AU and aphelion…

A: In the question it is given that  Apophis has an elliptical orbit about the Sun, with a perihelion…

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: Determine the minimum velocity(m/s)  necessary to orbit freely about a planet or moon at an altitude…

A: The minimum velocity required to orbit freely is,

Q: The orbit of a certain asteroid around the sun has period 7.85 yand eccentricity 0.250. Find…

A: Given The time period of orbit is T=7.84 y=7.84×31536000 s=2.47×108 s. The eccentricity is e=0.250.…

Q: The next questions have to do with the fact that one of the first exoplanets discovered orbits the…

A: Since the star 51 Pegasi is similar to the Sun, we assume it has the same mass as that of sun.…

Q: Saturn orbits the Sun at a distance of ng does a year last on Saturn?

A: According to Kepler's  third law, square of time period of planet is directly proportional to the…

Q: tellite orbits a planet at a speed of about 4 km/s with an orbital radius of about 17,000 km. How…

A: Given values:- Speed of planet,(v)=4 km/sec ----(1) Orbital radius,(r)=17000 km -----(2) Suppose (t)…

Q: Two planets are never seen midinight, which two and why?

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Q: Planet A and Planet B are in circular orbits around a distant star. Planet A is 9 times farther from…

A: RA= 9 RB

Q: Pluto K = 39.4 AU b) Pluto's largest moon, Charon (which is nearly half the size of Pluto!), has an…

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Q: On route to Eris, our experimental payload requires a heliocentric velocity of 25,000 m/s. The…

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Q: Suppose that the radius of the Sun were increased to 5.90 * 10^12 m (the average radius of the orbit…

A: a) The required speed is,

Q: SnowT is an exoplanet orbiting star 27 Kood. If the planet’s orbital period is 3.75 days and 27…

A: time period T2=kR3

Q: The perihelion of the comet Lagerkvist is 2.61 AU and it has a period of 7.36 years. Show that the…

A: Given: The perihelion of the comet is 2.61 AU. The period of the comet is 7.36 yr.

Q: You are given the mass and radius of planet X. How would you calculate the free-fall acceleration on…

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Q: The discovery of Dysnomia was fortunate, because it allowed scientists to calculate the mass of…

A: Write the relation in mass and time period. T2=4π2R3GM

Q: Calculate the mass of the planet (M) by applying Kepler’s 3rd law of the period (T) and radius (r)…

A: (a) The radius of the planet’s circular orbit is given as,

Q: Calculate the coriolis force on a mass of 50g placed at a distance of 10cm from the axis of rotating…

A: The formula of Coriolis force (FC), FC = 2m( v × ω) v = ω × R FC = 2m( ω2R)   Where, m = mass v =…

Q: What fractional decrease in flux, δF/F, would be caused by an Earth-like planet transiting a…

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Q: In the effort to discover exoplanets a planet around another star was discovered that has a period…

A:

Q: Motion in Polar and Cylindrical CoordinatesDeduce from the orbit equation

A: Given :                   r = (1+e)r01+ecosθ

Q: Using conservation of energy, derive an expression for the velocity of the cart when it is at the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…