Gravity Assist and Ballistic Trajectory

Gravity Assist and Ballistic Trajectory - Gravity Assist...

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Gravity Assist JIN KANG
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Fly-by ! Change in velocity and flight angle by using gravity pull of other planets/celestial bodies ! Fly very close to bodies ! Passing behind planets ! Acceleration, increase in velocity of travel ! Passing in front of planets ! Deceleration, decrease in velocity of travel
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Changes Due to Fly-by ! Large change in energy (change in velocity) ! Good planet for this: Mercury ! Large angle change (deflection) ! Good planet for this: Jupiter ! Conservation of energy ! From zoomed-in perspective (of planet), total change in energy = 0 " ex) Earth’s SOI, Mars’ SOI, helio-centric transfer ! From inertial frame, change in energy is imparted ! Taking away energy from planet
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Plane Change using Fly-by Pioneer 10 – mission to outside solar system
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Gravity Assist Passing Behind Planet
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Gravity Assist ! V - "# ! V + "# ! V + V - V ! Venus $
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Ballistic Trajectory
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Ballistic Missile Delivery
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Flight of Ballistic Missile
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Why Launch Vertically? ! Air resistance ! Added energy due to gravity ! TOF minimized ! Highway vs. local road ! Further travel distance, but faster
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Ballistic Trajectory Dynamics
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Earth ICBM With a few assumptions, Keplerian Orbit(Conic Section) is directly applied Ballistic Trajectory
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Why Hard to Calculate !
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Gravity Assist and Ballistic Trajectory - Gravity Assist...

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