The green circular Medium Earth Orbit $($MEO$)$ shown below is at an altitude of $19052242$ meters above the earth's surface $($ rt$$in the figure$)$ You are in the outer green orbit chasing a GPS SV Satellite and travelling at the same velocity. Your radar shows that the GPS SV is $2829463$ meters ahead of you in the green orbit. You decide to use the red Hohmann orbit to catch up to the GPS SV in less than one orbital period.$$ To accomplish that rendezvous, you must first determine the difference in seconds between the period of the green orbit you are in and the period of the red orbit you will enter to catch the SV$.$ What is that difference in seconds?$($NOTE: The radius of the earth is re $=6\mathrm{.}371$EE$6$ meters, and GM $=4$EE$14$ in the metric system. HINT: time in seconds equals distance in meters divided by velocity in meters per second$).$