Velocity Of Satellite In Elliptical Orbit

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.

Velocity of satellite in elliptical orbit. For a satellite the point which is closest from the earth is known as perigee. 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. 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. Tangential velocity components for the correct case of elliptical orbits.

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. Because kepler s equation has no general closed form solution for the eccentric anomaly e in terms of the mean. Endgroup farcher apr 8 17 at 8 13.

From initial position and velocity. 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. The earth has an absolute surface value of g of 9 821 m s and has a radius of 6371 km.

Determine the radius of curvature p of the orbit at a. And the remaining three satellite orbits are of elliptical corresponding to the eccentricity e values 0 5 0 75 and 0 9. 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. In above figure the satellite orbit corresponding to eccentricity e value of zero is a circular orbit.

We can start with the polar equation of an ellipse. What is the minimum distance of satellite from planet is maximum distance if 4 1 0 4 k m. The satellite s initial position and velocity vectors and at a given epoch.