If Kinetic Energy Of Satellite

The gravitational potential energy of sattalite is given by hence the total energy of the sattalite is if kinetic energy is doubled total energy becomes zero.

If kinetic energy of satellite.

Centripetal force on a satellite of mass m moving at velocity v in an orbit of radius r mv 2 r but this is equal to the gravitational force f between the planet mass m and the satellite. Hence the satellite can escape from its orbit. Subsequently there is a gain of kinetic energy and a loss of potential energy. Kinetic energy of satellite.

As the satellite moves from c to d to e and back to a it gains speed and loses height. By equating these two forces we get kinetic energy as below. When kinetic energy and the potential energy are added up the total will come out to be the gravitational potential energy given by. The kinetic energy of a satellite is half the gravitational energy given by if the gravitational energy is gmm r then kinetic energy is gmm 2r and this kinetic energy is positive.

If the kinetic energy of a satellite revolving in an orbit close to the earth happens to be doubled will the get the answers you need now. Alternatively we can use equation 13 7 to find v orbit v orbit and calculate the kinetic energy directly from that. Yet throughout the entire elliptical trajectory the total mechanical energy of the satellite remains constant. Satellite gets necessary centripetal force from the earth s gravitational force.

Ten days after it was launched toward mars in december 1998 the mars climate orbiter spacecraft mass 629 kg was 2 87 10 6 km from the earth and traveling at 1 20 10 4 km h relative to the earth. The kinetic energy of an object in orbit can easily be found from the following equations. The kinetic energy can then be found from the difference in the total energy change and the change in potential energy found in example 13 8. To discover the kinetic energy of a satellite you ll need to know its mass and its orbital speed.

Orbital speed will vary depending on the height of the orbit and its eccentricity. However in magnitude the kinetic energy is half the potential energy so the total energy e is. Kinetic energy in an orbit. F gmm r 2 and so mv 2 gmm r but kinetic energy mv 2 and so.