Velocity Of Satellite In Elliptical Orbit

And the remaining three satellite orbits are of elliptical corresponding to the eccentricity e values 0 5 0 75 and 0 9.

Velocity of satellite in elliptical orbit.

As the force is central angular momentum is conserved. When the satellite is in the part of its orbit closest to the earth it moves faster because the earth s gravitational pull is stronger. An elliptical orbit also called an eccentric orbit is in the shape of an ellipse in an elliptical orbit the satellite s velocity changes depending on where it is in its orbital path. A satellite moves in elliptical orbit about a planet.

Determine the radius of curvature p of the orbit at a. What is the minimum distance of satellite from planet is maximum distance if 4 1 0 4 k m. The earth has an absolute surface value of g of 9 821 m s and has a radius of 6371 km. We can start with the polar equation of an ellipse.

R a 1 e2 1 ecos 1 the velocity of an object in polar coordinates is v v rrˆ v ˆ 2 r rˆ r ˆ 3 differentiating 1 we get r dr d 4 ae 1 e2 sin 1 ecos 2 5. The satellite s initial position and velocity vectors and at a given epoch. In above figure the satellite orbit corresponding to eccentricity e value of zero is a circular orbit. Tangential velocity components for the correct case of elliptical orbits.

Because kepler s equation has no general closed form solution for the eccentric anomaly e in terms of the mean. For a satellite the point which is closest from the earth is known as perigee. 2 126 an earth satellite which moves in the elliptical equatorial orbit shown has a velocity v in space of 17 970 km h when it passes the end of the semi minor axis at a. Endgroup farcher apr 8 17 at 8 13.

Its maximum and minimum velocities of satellites are 3 1 0 4 m s and 1 1 0 3 m s respectively. From initial position and velocity. Begingroup photon at positions a and b the velocity of the satellite is at right angles to the straight line joining the centre of the earth to the satellite.