Write an M-file that performs Gibbs’ method of orbit determination. The three inputs are three successive satellite position vectors r 1 , r 2 , and r 3 expressed in the ECI frame with units of...

Write an M-file that performs Gibbs’ method of orbit determination. The three inputs are three successive satellite position vectors r₁, r₂, and r₃
expressed in the ECI frame with units of kilometers. The single output is the satellite’s inertial velocity vector v2 associated with the middle observation (expressed in the ECI frame with units of kilometers per second). Test your M-file by solving Example 48.

Problems 72 and 73 involve the Stardust capsule, which returned to Earth in January 2006 on a hyperbolic approach trajectory after sampling particles from the comet Wild-2.