The four basic types of interactions in the physical universe and whether it is possible for a fifth force to be discovered someday.

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Chapter 26, Problem 5Q

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The four basic types of interactions in the physical universe and whether it is possible for a fifth force to be discovered someday.

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Consider a US Air Force launch of its latest GPS satellite from Cape Canaveral. Radar tracking shows the following J2000 state vector (X,Y,Z and Vx,Vy,Vz) at burnout. 26 Feb 2022 17:10:00.000 (X,Y,Z): 5210.345121 -549.481941 4300.883291 (Vx,Vy,Vz): -1.451280 7.391098 2.690198 Calculate the minimum total delta V required to maneuver this spacecraft into a circular orbit with a 12-hour period and an inclination of 61 degrees, assuming impulsive maneuvers and two-body dynamics. Please solve using equations from Howard Curtis's Orbital Mechanics for Engineering Students, 4th Edition. Or if not possible name the equations you use. Also please use matlab syntax for solving or write the equations out clearly. Thanks!

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