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it will only have to do one
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landing burn
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and that right there is a substantial difference
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but even for the final landing burn
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staying in the belly flop as long as possible
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still pays off
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because notice
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right before the falcon 9 lights attentions
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its velocity is still about 310 meters per 2nd
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that's a little
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more than three times faster than starship
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before it lights its engines for the landing burn
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and it still hasn't even
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reached the equilibrium of terminal velocity
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because at this point
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it's still experiencing aerodynamic drag of almost 2gs
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so it didn't even reach terminal velocity period
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so I guess that's maybe
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a huge difference is that starship will
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actually hit terminal velocity
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and the falcon 9 just doesn't
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okay well so what 220 meters per 2nd difference
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that doesn't sound like that big of a deal
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I mean to get into low earth orbit
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you need to go about 7 800 meters per 2nd
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so 220 meters per 2nd
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that's only a small fraction of orbital velocity
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why is this belly flop maneuver worth it
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well here's the problem when you're falling
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every 2nd you are trying to slow down propulsive
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the first 9.8 meters per second of deceleration
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are just wasted fighting gravity
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so that 235 meters per 2nd can
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actually be a lot more
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because of something called gravity drag
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or gravity loss
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but in order to actually
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understand gravity losses
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we need to 1st
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explain thrust to weight ratios and engine throttling
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and here's where the fun begins
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thrust away ratio perhaps you've heard of it
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perhaps you've played lots of herbal space program
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like me and you have a pretty decent grasp of it or
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maybe you don't have
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any idea what I'm talking about at all
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and that's fine
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so let's imagine a rocket hovering for now
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let's completely ignore the atmosphere
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if we separate these forces and concepts
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it's going to make this a lot easier to learn
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so in order to hover
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the rocket engine needs to produce exactly as much
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thrust as the rocket weighs
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in order to explain this best we're going to use
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newtons for both the weight
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and the thrust of the rocket
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since it's a unit of force
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an object with a mass of one kilogram weighs
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9.8 newtons on earth
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this is because
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earth's gravity pulls at one
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kilogram with a force of 9.8 newtons
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and just for fun on mars
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the same mass would weigh 3.7 newtons
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of course it be just as easy to use
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pounds and pounds force in this example
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but we'll use newtons despite me not
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being very used to it
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but it's all relative anyway
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so if your rocket weighs 1
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000 newtons otherwise known as a kiloton
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and you're producing 1
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000 newtons of thrust in the opposite direction
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you would hover
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because you have a thrust weight ratio of one to one
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which means your thrust is
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exactly counteracting gravity
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and therefore your weight
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your net acceleration is zero
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because your thrust is exactly counteracting
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earth's pole
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on your rocket
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produce 900 newtons of thrust with your 1
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000 newton rocket
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and your thrust to weight ratio will be less
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than one to one
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specifically 0.9 to one
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and you'll go down
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for each 2nd to your at this throttle setting
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with that thrust away ratio of 0.9 to one
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you'll go downward
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faster and faster you would be accelerating downward
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and if you throttle back up to one to one
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you wouldn't go back to a hover magically
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you'd actually continue to go down at the same
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velocity a thrust weight ratio of one to one
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just means your velocity is not changing
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so in order to get back to a hover
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we need to increase our thrust weight ratio to
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over one to one
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just to accelerate enough to reach zero velocity
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so now let's throttle our engines to produce 1
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100 newtons of thrust
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which would be a thrust to weight ratio of 1.1 to 1
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and we'll start canceling out the velocity
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once we get back to
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zero velocity
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we can return to a thrust away ratio of one to one
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if we want to hover
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so now let's get back to where we started
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let's go to thrust away ratio of 1.5 to 1
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and accelerate quickly upwards
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and again this is very important to remember
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if you instantly throttled back
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to a thrust away ratio of one to one
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you would continue going up at the same velocity
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you wouldn't magically hover
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so to get back to hovering where we started
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we'll hold our upwards velocity until we are close
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to where we started
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and then we'll reduce our thrust away ratio
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below one to one
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decelerate until our velocity is at
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0m per 2nd
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and then increase our throttle back
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to a thrust away ratio of one to one
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to maintain a hover
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right back where we started
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it's actually quite hard
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to make a rocket hover and maneuver
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but it gets even more complicated when you remember
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that when a rocket engine is running
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it's also burning fuel
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so the rocket is getting lighter and lighter
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as propellant is expelled
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so in order to maintain a thrust to weight ratio of
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say one to one
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you have to be able to precisely
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throttle your engine to produce exactly as much
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thrust as your rocket weighs
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even though it's getting lighter and lighter
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and of course
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throttling an engine is a big big deal for landing
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otherwise if you couldn't throttle
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you'd have to turn on your engines at the exact
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right moment
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huh that sounds like a really bad idea
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right joe barnard
10830
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