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