Velocity Of Satellite In Elliptical Orbit

As the force is central angular momentum is conserved.

Velocity of satellite in elliptical orbit.

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. The satellite s initial position and velocity vectors and at a given epoch. A satellite moves in elliptical orbit about a planet. 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. And the remaining three satellite orbits are of elliptical corresponding to the eccentricity e values 0 5 0 75 and 0 9. 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.

For a satellite the point which is closest from the earth is known as perigee. 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. Because kepler s equation has no general closed form solution for the eccentric anomaly e in terms of the mean. What is the minimum distance of satellite from planet is maximum distance if 4 1 0 4 k m.

16 000 km a 13 860 km 1 8000 km problem 2 126. Determine the radius of curvature p of the orbit at a. 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. An orbit equation defines the path of an orbiting body around central body relative to without specifying position as a function of time if the eccentricity is less than 1 then the equation of motion describes an elliptical orbit.

The earth has an absolute surface value of g of 9 821 m s and has a radius of 6371 km. A satellite in a low orbit or low part of an elliptical orbit moves more quickly with respect to the surface of the planet than a satellite in a higher orbit or a high part of an elliptical orbit due to the stronger gravitational attraction closer to the planet. 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.