Advertisements
Advertisements
प्रश्न
State the conditions for various possible orbits of satellite depending upon the horizontal/tangential speed of projection.
Advertisements
उत्तर
The path of the satellite depends upon the value of the horizontal speed of projection vh relative to critical velocity vc and escape velocity ve.
Case (I) vh < vc:
The orbit of the satellite is an ellipse with a point of projection as the apogee and Earth at one of the foci. During this elliptical path, if the satellite passes through the Earth’s atmosphere, it experiences a nonconservative force of air resistance. As a result, it loses energy and spirals down to the Earth.
Case (II) vh = vc:
The satellite moves in a stable circular orbit around the Earth.
Case (III) vc < vh < ve:
The satellite moves in an elliptical orbit around the Earth with the point of projection as perigee.
Case (IV) vh = ve:
The satellite travels along the parabolic path and never returns to the point of projection. Its speed will be zero at infinity.
Case (V) vh > ve:
The satellite escapes from the gravitational influence of Earth traversing a hyperbolic path.
APPEARS IN
संबंधित प्रश्न
No part of India is situated on the equator. Is it possible to have a geostationary satellite which always remains over New Delhi?
A Mars satellite moving in an orbit of radius 9.4 × 103 km takes 27540 s to complete one revolution. Calculate the mass of Mars.
(a) Find the radius of the circular orbit of a satellite moving with an angular speed equal to the angular speed of earth's rotation. (b) If the satellite is directly above the North Pole at some instant, find the time it takes to come over the equatorial plane. Mass of the earth = 6 × 1024 kg.
What is the true weight of an object in a geostationary satellite that weighed exactly 10.0 N at the north pole?
The radius of a planet is R1 and a satellite revolves round it in a circle of radius R2. The time period of revolution is T. Find the acceleration due to the gravitation of the planet at its surface.
Choose the correct option.
The binding energy of a satellite revolving around the planet in a circular orbit is 3 × 109 J. It's kinetic energy is ______.
Answer the following question.
What is periodic time of a geostationary satellite?
Answer the following question.
Why is a minimum two-stage rocket necessary for launching of a satellite?
Answer the following question in detail.
State any four applications of a communication satellite.
Draw a labelled diagram to show different trajectories of a satellite depending upon the tangential projection speed.
The ratio of energy required to raise a satellite of mass 'm' to a height 'h' above the earth's surface of that required to put it into the orbit at same height is ______.
[R = radius of the earth]
Which of the following statements is CORRECT in respect of a geostationary satellite?
An aircraft is moving with uniform velocity 150 m/s in the space. If all the forces acting on it are balanced, then it will ______.
Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3v, the speed of satellite B is ____________.
A geostationary satellite is orbiting the earth at the height of 6R above the surface of earth. R being radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is ____________.
Assuming that the earth is revolving around the sun in circular orbit of radius 'R', the angular momentum is directly proportional to rn. The value of 'n' is ______.
Two satellites of masses m and 4m orbit the earth in circular orbits of radii 8r and r respectively. The ratio of their orbital speeds is ____________.
Out of following, the only correct statement about satellites is ____________.
The ratio of energy required to raise a satellite to a height `(2R)/3` above earth's surface to that required to put it into the orbit at the same height is ______.
R = radius of the earth
A satellite is revolving in a circular orbit around the earth has total energy 'E'. Its potential energy in that orbit is ______.
A geostationary satellite is orbiting the earth at a height 6R above the surface of the earth, where R is the radius of the earth. This time period of another satellite at a height (2.5 R) from the surface of the earth is ______.
The ratio of binding energy of a satellite at rest on earth's surface to the binding energy of a satellite of same mass revolving around the earth at a height h above the earth's surface is ______ (R = radius of the earth).
Two satellites are orbiting around the earth in circular orbits of same radius. One of them is 10 times greater in mass than the other. Their period of revolutions are in the ratio ______.
What is the approximate period of revolution for the Moon, Earth's only natural satellite?
Which application is mainly associated with polar satellites?
