Consider a very small spacecraft in a circular orbit around the earth. Suppose it is in...
Consider a very small spacecraft in a circular orbit around the earth. Suppose it is in this orbit for some time, but then, instantaneously, the Earths mass suddenly becomes 50% smaller than it was previously. Determine the resulting orbit of the spacecraft and justify your answer. (note: assume that the only effect on the spacecraft is that it is subsequently moving in the gravitational field of a 50% less massive Earth, and its mass and velocity are the same just before and just after the mass is removed from Earth).
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Consider a very small spacecraft in a circular orbit around the
earth. Suppose it is in...
Question 3 1 pts A spacecraft with mass 1,976 kg is in circular orbit around Earth...
Question 3 1 pts A spacecraft with mass 1,976 kg is in circular orbit around Earth as shown with the green circle in the figure, at an altitude h = 608 km. At point Pin the orbit (see figure), the spacecraft reduces its speed by 4%, causing it to be in an elliptical orbit. What is the semi-major axis of the elliptical orbit in km? Reminder the radius of the orbit is the altitude plus Re, the radius of Earth....
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the...
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
The Solar and Heliospheric Observatory (SOHO) spacecraft has a special orbit, located between the Earth and...
The Solar and Heliospheric Observatory (SOHO) spacecraft has a special orbit, located between the Earth and the Sun along the line joining them, and it is always close enough to the Earth to transmit data easily. Both objects exert gravitational forces on the observatory. It moves around the Sun in a near-circular orbit that is smaller than the Earth's circular orbit. Its period, however, is not less than 1 yr but just equal to 1 yr. Show that its distance...
A spacecraft of 90 kg mass is in a circular orbit about the Earth at a...
A spacecraft of 90 kg mass is in a circular orbit about the Earth at a height h-2RE (a) What is the period of the spacecraft's orbit about the Earth? (b) What is the spacecraft's kinetic energy? (c) Express the angular momentum L of the spacecraft about the center of the Earth in terms of its kinetic energy K. (Use the following as necessary: RE for the radius of the Earth, K for the kinetic energy of the satellite, and...
Consider a satellite of mass m moving in a circular orbit around the Earth at a...
Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of G, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of g, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how...
(1s equal to pt) A s spacecraft of mass m is in a circular orbit around...
(1s equal to pt) A s spacecraft of mass m is in a circular orbit around the Sun with the radius R average Earth-Sun distance. At point A, the spacecraft is firing its thrusters Sun, to point E the tangentially to the closer to the s e trajectory such that it will fall on an elliptical orbit, which will bring it un, to point B. At point B, it once again fires its thrusters tangentially to its ry to go...
Consider a Hohmann transfer from a circular parking orbit around Earth at 200 km altitude, to...
Consider a Hohmann transfer from a circular parking orbit around Earth at 200 km altitude, to the Moon (distance center of mass Earth – center of mass Moon is 384,000 km; you can ignore the size of the Moon and the altitude of the target orbit around the Moon). The Moon orbits Earth in a circular orbit as well. Both orbits (parking,Moon) are coplanar. What is the velocity of the Moon,and what is the velocity of the satellite when reaching...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer t...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
Required information A spy satellite is in circular orbit around Earth. It makes one revolution in...
Required information A spy satellite is in circular orbit around Earth. It makes one revolution in 8.30 h. Mass of Earth is 5.974 1044 kg. radius of x Earth is 6371 km and Gravitational constant G is 6.674 10-11 N-m2/kg x How high above Earth's surface is the satellite? km
Question 3 1 pts A spacecraft with mass 1,976 kg is in circular orbit around Earth as shown with the green circle in the figure, at an altitude h = 608 km. At point Pin the orbit (see figure), the spacecraft reduces its speed by 4%, causing it to be in an elliptical orbit. What is the semi-major axis of the elliptical orbit in km? Reminder the radius of the orbit is the altitude plus Re, the radius of Earth....
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
The Solar and Heliospheric Observatory (SOHO) spacecraft has a special orbit, located between the Earth and the Sun along the line joining them, and it is always close enough to the Earth to transmit data easily. Both objects exert gravitational forces on the observatory. It moves around the Sun in a near-circular orbit that is smaller than the Earth's circular orbit. Its period, however, is not less than 1 yr but just equal to 1 yr. Show that its distance...
A spacecraft of 90 kg mass is in a circular orbit about the Earth at a height h-2RE (a) What is the period of the spacecraft's orbit about the Earth? (b) What is the spacecraft's kinetic energy? (c) Express the angular momentum L of the spacecraft about the center of the Earth in terms of its kinetic energy K. (Use the following as necessary: RE for the radius of the Earth, K for the kinetic energy of the satellite, and...
Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of G, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of g, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how...
(1s equal to pt) A s spacecraft of mass m is in a circular orbit around the Sun with the radius R average Earth-Sun distance. At point A, the spacecraft is firing its thrusters Sun, to point E the tangentially to the closer to the s e trajectory such that it will fall on an elliptical orbit, which will bring it un, to point B. At point B, it once again fires its thrusters tangentially to its ry to go...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
Required information A spy satellite is in circular orbit around Earth. It makes one revolution in 8.30 h. Mass of Earth is 5.974 1044 kg. radius of x Earth is 6371 km and Gravitational constant G is 6.674 10-11 N-m2/kg x How high above Earth's surface is the satellite? km
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