Mathematical description of space flight
Channel: Student Like
Date: 29/10/2022

Spaceflight, what a dream. To fly out of the atmosphere, Newton and myself we will explain how it works. For this purpose, we need a planet and we choose the most beautiful
in the universe which is of course our precious Earth,
Gaia. And then this earth is curved. This is known for a long time and for a long time also we know
that there is a very small atmosphere around the planet,
small and fragile. And to fly in space we need to
get out of this atmosphere. Newton dreamt about the mountain
that we call Newton's mountain, which climbs out of the atmosphere. And then as he discovered with the moon what is orbital flight around the earth, he dreamt to do the same thing. What a astronoaute makes to fly
over the atmosphere like this. For this purpose, we need to climb and to get velocity. To climb to
get out of the atmosphere and to get velocity V to give the good
energy to make the rotation. And when you are no longer on the earth
you are in a non Galilean referential. You know that Galileo was in Pisa, you know this pretty town where
there is a famous tower. And on this a referencial he was
on earth on the cows floor. But here we are no longer,
we are somewhere where everything moves. And with this we have two forces
is in fact, the first one in the non Galilean referential
is the Galilean force which is called gravity and
the centrifuge force which is M V two on R. And what is funny is that both
force compensate each other, because we are in free flight,
free fall around the earth. It's exactly the same in
a free fall from the mountain. But it is a horizontal and
circular freefall. And to compute the value of the velocity, it's very simple. We have to express that
these two forces are equal. And the equation is very simple. G is simply V 2 on R which gives V is square g R. So g is known with a good precision approximately 10 km pers square second. You know that it is not really on ground
but the altitude is about 100 km. So it's very close to the ground. So it's very close to ten. Well maybe it's 9.8 or 9.7 but never mind. And the radius is known by
Kheops himself in the pyramid. It's about six. Well that's the real value will
approximate to something like this. When we compute this,
the computation is very simple to do. It gives that the magnitude
of V, the amplitude of V, is simply 8000 m/s which is 8 km/s. That's the tax to pay to go to space. And that's the reason why it's
difficult to go to space. It's not to climb the mountain
even if 100 km seems high. The energy maybe it's not so important that the kinetic
energy that we need, and that's the secret of space flight,
the velocity. #SpaceScience
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