Derive and discuss the Lagrange equation of motion of a of radius ca? body maving on a sphere
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![Dexive and discuss the Lagrange equation
of motion of
of radius la'
bady maving
sphere
a
on a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38e75da0-1efb-410e-9705-1ae539e8176c%2Fa8a4717a-0642-45f8-a488-4fcee0e7560d%2Fitglywc_processed.jpeg&w=3840&q=75)
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- Show calculation and write down what is given and known. draw a sketch of the system if needed 1. Determine the speed of a satellite of mass 2.5 x 10^15 kg in geosynchronous orbit around earth.In Prob. 13.110, the speed of the space vehicle was decreased as it passed through A by firing its engine in a direction opposite to the direction of motion. An alternative strategy for taking the space vehicle out of its circular orbit would be to turn it around so that its engine would point away from the earth and then give it an incremental velocity toward the center O of the earth. This would likely require a smaller expenditure of energy when firing the engine at A, but might result in too fast a descent at B.Assuming this strategy is used with only 50 percent of the energy expenditure used in prob. 13.110, determine the resulting values of φB and vB .Reference to Problem 13.110:A space vehicle is in a circular orbit at an altitude of 225 mi above the earth. To return to earth, it decreases its speed as it passes through A by firing its engine for a short interval of time in a direction opposite to the direction of its motion. Knowing that the velocity of the space vehicle should…help me answer part b, thank you