On December 25, 2004, the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a 22 day journey to Saturn’s moon Titan, on whose surface it landed. Besides the data in Appendix F, it is useful to know that Titan is 1.22 * 10^6 km from the center of Saturn and has a mass of 1.35 * 10^23 kg and a diameter of 5150 km. At what distance from Titan should the gravitational pull of Titan the gravitational pull of Saturn?

Q: A spherical planet has an outer radius R; its density p varies as a function of distance r given by…

A: Given data: The density function is, ρr=3-2r2R2.

Q: planet has a diameter of 6.0×10^3 km and, one of its satellites is in a circular orbit of radius…

A: A planet has a diameter of 6.0×10^3 km and, one of its satellites is in a circular orbit of radius…

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: Selected astronomical data for Jupiter's moon Adrastea is given in the table. From these data,…

A:

Q: We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the…

A: d = 5.5 *107m T = 3.5 * 105 sec using formula, V = 2πd/T V = 2π*5.5 * 107/3.5*105V = 987.36 m/s

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

A:

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: The mean diameters of planets A and B are 9.8 x 103 km and 2.6 × 104 km, respectively. The ratio of…

A: diameter of A = 9800 km diameter of B = 26000 km mass of Amass of B = mAmB = 0.93

Q: The Magellan orbiter orbits Venus with a period of 3.26 hours. How far (in km) above the surface of…

A: According to Kepler’s 3rd law, the orbital period of the planet is given by, Here, G, M and r…

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: 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: Suppose that a planet were discovered between the Sun and Mercury, with a circular orbit of radius…

A:

Q: Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the…

A:

Q: Let asteroid A have a mass of 7.86 x 1011 kg and asteroid B have a mass of 1.12 x 10° kg. If there…

A: The expression for the distance between the asteroids is,

Q: A ring of radius 4 m lies in the x,y plane, centered on the origin. The portions of the ring in the…

A: R=4 mu1=8.9 kgu2=10.1 kg

Q: Four planets have relative masses and radii as shown above. The gravitational field g is equal on…

A: The gravitational field g for the planet 1 is calculated as, g=GMR2 Here, M is the mass of the…

Q: A crew capsule is returning from the ISS, whose orbit is circular with radius Re + 400 km. Prior to…

A: The capsule is coming to the smaller parking orbit from the ISS orbit. Hence, the energy of the…

Q: A satellite used in a cellular telephone network has a mass of 2060 kg and is in a circular orbit at…

A: Given,mass of the satellite m = 2060 kgheight of the satellite from surface of the earth mass of the…

Q: Uranus (mass = 8.68 x 1025 kg) and its moon Miranda (mass = 6.59 x 1019 kg) exert a gravitational…

A: Given data:  m1 = 8.86×1025 kg and m2 = 6.59×1019 kg Gravitational force (F) = 2.28×1019 N Required:…

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: (a) What is the escape speed on a spherical asteroid whose radius is 106 km and whose gravitational…

A:

Q: The asteroid 243 Ida has its own small moon, Dactyl. Another such system, asteroid 624 Hektor, has a…

A:

Q: escape velocity

A:

Q: A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly  circular…

A:

Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

A:

Q: A satellite of mass 1 x 1020kg and radius 400 km orbits Saturn at a semi-major axis of 200,000 km…

A: The problem is based on the concept of the Roche limit. The Roche limit is the minimum distance from…

Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…

A:

Q: Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit…

A: Here, the gravitational force acts as centripetal force So: mv2R=GMmR2i.e.v=GMRAnd also as v=2πRT…

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:

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

A:

Q: us 3 R, where R is equal to the radius of the earth’s orbit = 1 AU = 1.5 × 1011 m. (a) What is the…

A: Given:-  The radius of the sun is  R and the whose most distant point has a radius of 3 R,  The…

Q: A communication satellite in geosynchronous orbit remains above a single point on the Earth's…

A: The communication satellite is moving in geosynchronous orbit.  A geosynchronous orbit is a type of…

Q: (a) What is the escape speed on a spherical asteroid whose radius is 103 km and whose gravitational…

A:

Q: A planet has been discovered orbiting the sun-like star HD 209458. From the period and velocity…

A: Introduction: The radius of the star: R*=8×105 km=8×108 m The mass of Jupiter: MJ=1.898×1027 kg The…

Q: Problem 5: Suppose you are told that a satellite orbiting the Earth has a orbital period of 0.85…

A: The Kepler’s third law of planetary motion is

Q: A comet that was seen in April 574 by Chinese astronomers on a day known by them as the Woo Woo day…

A:

Q: itan has a radius of 2500.0 km and a mean density of 2.0 g/cm3. Earths moon has a radius of 1737.0…

A: Given: The radius of the Titan is 2500 km. The mean density of the Titan is 2 g/cm3. The radius of…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.