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Satellite is deployed by two stage rocket booster Goes from 185km parking orbit

ID: 1410234 • Letter: S

Question

Satellite is deployed by two stage rocket booster Goes from 185km parking orbit to 35,700km GEO altitude Key Assumptions/known's: Satellite dry mass is 3,580kg Station keeping requires 5kg/yr propellant, and service life is 15 years Booster stages are LO2/LH2 (1st stage l_sp=375sec, 2nd stage l_sp=462sec) 1st stage MECO @ 4.72km/sec, core dry mass 25,400kg 2nd stage dry mass 2,480kg 2nd stage carries all propellant needed for LEO-GEO transfer delta V 2nd stage takes satellite to 185km, then boosts to GEO LO2/LH2 mixture ratio is 5.85:1 (by mass) Find: Propellant required for each stages (LO2 and LH2 respectively) - mass and volume Find the launch mass for the mission (GLOW) Compare to existing boosters and satellites, of similar mission, for size comparison

Explanation / Answer

1) Mass of LO2 = 25400 * 5/2.14   = 59345.8 kg

      Volume =   5200 L

   Mass of LH2 =   25400 * 5/4 = 31750 kg

    Volume   =   2136 L

2)    launch mass =   2480 * 21/3.562

                             =   4109.33 kg

3)   Satellites are about 76 times in size as compared to existing boosters .

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