Chapter 13, Problem 88CP

Find the Hohmann transfer velocities, $\Delta v_{EllipseEarth}$ and $\Delta v_{EllipseMars}$ ,needed for a trip to Mars. Use Equation 13.7 to find the circular orbital velocities for Earth and Mars. Using Equation 13.4 and the total energy of the ellips (with semi-major asix a), given by $E=-\frac{Gm{M}_s}{2a}$ , find the velocities at Earth (perihelion) and at Mars (aphelion) required to be on the transfer ellipse. The difference, $\Delta v$ , at each point is the velocity boost or transfer velocity needed.