Problem 1 continued List the s rocket from the center of the earth into and orbit...
A satellite is put into orbit around the earth first by being carried on a rocket that climbes vertically to h = 217 km from the earth\'s surface and then being propelled at a velocity of v = 9.65 km/s. This initial velocity is perpendicular to the position vector from the earth\'s center to the satellite. What is the maximum distance from the earth\'s center the satellite will reach with a closed orbit around the earth?
The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. ...
5. A rocket is launched horizontal from the surface of earth. The launch velocity of the rocket is 0.80 vese where vesc = V2GM/R is the escape velocity from the surface of earth. Determine the maximum distance the rocket will reach above the center of earth. Express your answer as a multiple of earth's radius, R. (Answer 3.6) %3D
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
The Space X engineering group has been asked to design a mission to send a satellite in orbit around the Earth. The satellite has a mass m_s = 500 kg, and the rocket has a mass m_R = 2000 kg. The satellite is required to revolve with an elliptic orbit around the Earth with velocity v_B = 25 km/s when it is located in point B, at a distance to the earth r_B = 10 Mm. Assuming the mass of...
Calculate the distance from the center of the Earth of Geostationary or Geosynchronous orbit. G = 6.67 x 1—11 N*m2/kg2 and the mass of the Earth = 5.98 x 1024 kg. (5 points) What kind of problem is this? If there is any other hidden information what is it? For what variables do I have numbers and for what am I solving? I am interested in equations with what variables? List all relevant equations here. Highlight what you know by...
P3. A rocket of mass -1.20x10'kg is launched vertically upward from point A on the earth's surface with an initial speed v, 7.00km/s a. (12) Calculate the maximum height H of point B above the earth's surface at which the rocket will momentarily come to rest, before it starts falling back to the earth Hint: Use conservation of energy. b. (4) Determine the gravitational acceleration a at point B. c. (9) Calculate the total mechanical energy E of the rocket....
Two satellites, of masses m and 3m, respectively, are in the same circular orbit about the Earth's center, as shown in the diagram above. The Earth has mass Me and radius Re. In this orbit, which has a radius of 2Re, the satellites initially move with the same orbital speed vo but in opposite directions. photo of scenario: http://tinypic.com/view.php?pic=xkrx9u&s=9#.VxYdLMfKe8U a. Calculate the orbital speed v0 of the satellites in terms of G, Me, and Re. b. Assume that the satellites...
A body is in an elliptical orbit about the earth. The magnitude of the acceleration of this body is g (Re/R)^2, where R is the distance from the body to the center of the earth, Re = 6,370 km, and g = 9.807 m/s^2 . At the position shown, the speed of the body is 27,000 km/hr. Determine the rate of change of the speed and the radius of curvature of the orbit at this position. 9,000 km 12,000 km...
A rocket carrying a new 945-kg satellite into orbit misfires and places the satellite in an orbit with an altitude of 175 km, well below its operational altitude in low-Earth orbit. (a) What would be the height of the satellite's orbit if its total energy were 450 MJ greater? km (b) What would be the difference in the system's kinetic energy? (Include the sign of the value in your answer.) Mj (c) What would be the difference in the system's...