Kepler's law.of orbit and law of equal areas
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Kepler’s First Law
The satellite will follow an elliptical path in its orbit around the primary body.
Kepler’s Second Law
For equal time intervals the satellite sweeps out equal areas in the orbital plane focused at the Centenary. Refer to the fig. Alongside. Assume that the satellite travels distances S1 and S2 metres in 1 Second. From kepler’s second law, the areas A1 and A2 will be S1 meter second and S2 meter/second respectively. Because of the equal area law it is clear that distance S1 is greater than distance S2 and hence velocity S1 is greater than distance S2 and hence velocity S1 is greater than velocity S2.
Generalizing, it can be said that the velocity will be greatest at the point of closest approach to the earth (Termed as perigee) and will be least at the farthest point from the earth i.e the satellite takes longer to travel a given distance when it is farther away from the earth. Use of this property is made to increase the length of time a satellite can be seen from particular geographic regions of the earth.
Kepler's third law
The square of the periodic time of orbit is proportional to the cube of the mean distance between the two bodies.
The mean distance is equal to the semi major axis a.
Kepler’s third law can be written in the form.
The equation (1) above applies only to the ideal situation of a satellite orbiting perfectly spherical earth of uniform mass, with no perturbing forces acting such as atmospheric drag.
The importance of Kepler’s third law is that is shows there is a fixed relationship between period and size.
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Kepler’s First Law
The satellite will follow an elliptical path in its orbit around the primary body.
Kepler’s Second Law
For equal time intervals the satellite sweeps out equal areas in the orbital plane focused at the Centenary. Refer to the fig. Alongside. Assume that the satellite travels distances S1 and S2 metres in 1 Second. From kepler’s second law, the areas A1 and A2 will be S1 meter second and S2 meter/second respectively. Because of the equal area law it is clear that distance S1 is greater than distance S2 and hence velocity S1 is greater than distance S2 and hence velocity S1 is greater than velocity S2.
Generalizing, it can be said that the velocity will be greatest at the point of closest approach to the earth (Termed as perigee) and will be least at the farthest point from the earth i.e the satellite takes longer to travel a given distance when it is farther away from the earth. Use of this property is made to increase the length of time a satellite can be seen from particular geographic regions of the earth.
Kepler's third law
The square of the periodic time of orbit is proportional to the cube of the mean distance between the two bodies.
The mean distance is equal to the semi major axis a.
Kepler’s third law can be written in the form.
The equation (1) above applies only to the ideal situation of a satellite orbiting perfectly spherical earth of uniform mass, with no perturbing forces acting such as atmospheric drag.
The importance of Kepler’s third law is that is shows there is a fixed relationship between period and size.
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Hey mate Here ur answer
Kepler's law of orbit:
Then orbit of a planet is an ellipse with the sun at one of the foci.
Kepler's law of equal areas:
Then line joining the planet and the sun sweeps out equal areas in equal intervals of time.
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