A 3.2.6 Orbital Mechanics Physics



Activity 3.2.6 Orbital Mechanics PhysicsIntroductionSatellites need a tremendous amount of energy to be raised from the Earth’s surface to the altitude where they can orbit the Earth. Engineers must design systems to place such satellites in orbit.In this activity you will calculate the energy required for satellites to orbit Earth.EquipmentEngineering notebookPencilCalculatorNotes from Orbital Mechanics Physics presentationProcedureAnswer the following questions and show all formulas, units, and calculations.A 15,000 kg satellite is orbiting at 800km above the Earth’s surface. How much potential energy?U=-(GMm)/R, U=-((6.67*10^-11)(5.98*10^24)(15000))/((6.378*10^6)+(8.0*10^5))=-8.33*10^11 JAt what distance from the Earth’s surface is a 10,000kg satellite if its potential energy is equal to -5.58 x 1011J?D=(-((6.67*10^11)(5.98*10^24)(10000))/(6.378*10^6))-(-5.58*10^11)=6.25*10^33 mWhat is the total energy of a 175,000kg shuttle orbiting the Earth at 600km above Earth’s surface? E=((6.67*10^-11)(5.98*10^24)(175000))/2((6.378*10^6)+(6.0*10^5))=8.66*10^28 JA satellite has a total energy of -4.4x1011J. The satellite is orbiting 650km above Earth’s surface. What is the mass of the satellite?m=-2R/GM, m=- (2((6.378*10^6)+(6.5*10^5))(-4.4*10^11))/((6.67*10^-11)(5.98*10^24))= 15505.6 KgA research satellite (14000kg) is orbiting planet Julu at an altitude of 400km. The researchers want their satellite to be at an altitude of 700km to take some specific pictures. How much energy is needed for this orbit change? (RJulu=5.4x103km; MJulu=3.74x1021kg)E_1=-((6.67*10^-11)(3.74*10^21)(1400))/2((5.4*10^3)+(4.0*10^5))= -4.31*10^8 J E_2=-((6.67*10^-11)( 3.74*10^21)(1400))/2((5.4*10^3)+(7.0*10^5))= -2.47*10^8 J E=E_2-E_1, E=-2.47*10^8 - -4.31*10^8= 1.83*10^8 JConclusionHow will a satellite gain the energy to change its orbit to a higher altitude?A satellite gains energy from thrusters. ................
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