From Chris Hadfield's MasterClass

Chris breaks down the equation for drag and shows how rockets are designed to overcome the biggest hurdle of launching into space—the atmosphere.

Topics include: Atmospheric Drag

Chris breaks down the equation for drag and shows how rockets are designed to overcome the biggest hurdle of launching into space—the atmosphere.

Topics include: Atmospheric Drag

The essence of you being an astronaut is the ability to leave Earth, the ability to fly a rocket through our atmosphere and get into orbit or beyond. But flying a rocket through the atmosphere is the hardest part. It's the most dangerous part of a space flight. And the reason is because of the equation for drag, unfortunately, which is 1/2 rho v squared S-- 1/2 rho v squared S. It sounds maybe complicated or it maybe sounds deceptively simple, but to push yourself through the atmosphere-- because to stay in orbit, you have to be going 5 miles a second, 8 kilometers a second, 17 and 1/2 thousand miles an hour, 25 times the speed of sound. That's how fast you have to go to orbit the world. Those speeds are incredible. How do you get through the atmosphere and accelerate out fast enough that you can successfully stay coasting in orbit from then on? And the main impediment to doing that is to shoulder your way through the drag of the atmosphere. When you're driving a car down the highway, I'm sure at some point in your life you've stuck your hand out the window, maybe when you were a kid in the backseat, and you stuck your hand out the window. And if you're going slowly, it's kind of fun. You can feel the air. You can fly your hand. But if the car gets going faster, it becomes pretty hard just to stick your hand out there. And if you stick your hand out at highway speed, you know, your hand will get whipped right back. If you're on board a spaceship coming through the atmosphere, you stick your hand out the window, it's going to break your arm and burn your arm off. That's how much drag there is at that high speed. And it's because of the equation 1/2 rho v squared S. So let's just think about that. The 1/2 we can sort of ignore. That's just to make the math right. But rho is an ancient alphabet symbol for density. How thick is the air? Down here, close to the ocean with all the air up above me, the air is pretty thick. The higher you get, the thinner the air gets. So as you go up, rho, density, gets less. S-- rho v squared S-- S is just a matter of area, like inches by inches or meters by meters. It's really how big is your ship. What type of blunt object-- you know, if you measured my hand, you know, it's got this width by this height. That would give you the area, which would be S. The S of my hand is whatever that is, 4 inches by 3 inches, 12, we'll say, square inches. That's the S of my hand pushing through the atmosphere. If I could make by hand like this, it'll go through the atmosphere a lot easier because the S is a lot smaller. If my hand is the size of a house, it's going to be really hard to push through the atmosphere. So it helps you think about what you're trying to do with your rocket ship, that rho, the density, is getting less as you go up. And S, the size of your ship, is a really big, important factor, the cross-sectional size. But v squared, that's the big surprising part. v is just your velocity or your spe...

Impossible things happen. At age nine, Chris Hadfield knew he wanted to go to space. He eventually went there three times, becoming a commander of the International Space Station. In his MasterClass, Chris teaches you what it takes to explore space and what the future holds for humans in the final frontier. Learn about the science of space travel, life as an astronaut, and how flying in space will forever change the way you think about living on Earth.

4.7

Students give MasterClass an average rating of 4.7 out of 5 stars.

I was dream to be an astronaut . But right now in my 20s I don't think I could be one. This class has bring back my old dream and give me so much live lessons and new perspective. I really love this class.

A fellow student

I have always been fascinated by space exploration. Although I was familiar with many of the concepts that Chris discussed, his detail and personal influence added a whole new dimension to concepts like Orbital Dynamics, the experience of living in space, etc... This class was well worth the price paid, and I am sure I will revisit it again. Thank you Chris Hadfield for this wonderful MasterClass

Randall H.

I absolutely loved this Masterclass. I am just finishing highschool, going into university, and one day, I hope to become an astronaut. This class showed me the challenges my dream presents me with and taught me how to overcome them. Thank you!

Alyona G.

Excellent Masterclass Chris Hadfield is wonderful at explaining the journey past and present and into the future which made me see it all clearer.

Loretta R.

A fellow student

I'm having an issue opening the link at the bottom in the "Learn More" section. When I click on the link, the browser throws a "too many redirects error".

0 likes

A fellow student

I like this class, cos this is the first class where I see any maths equation. Also, for sum reason I'm not able to download pdf version of all lessons I have already had. I have an error "Request has expired". ???? I payed my money and I hope I have something else rather than several videos with only one maths equation so far.

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john K.

Doesn't the effect of gravity figure into the drag effect. Is it de minims in relation to the other forces?

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Jim S.

I liked how he took one equation and could teach so much from it. It reminded me of when I was a starting graduate student too. I had an assistantship on an x-ray rocket experiment. The rockets were launched from White Sands and we had to know when we could open up the experiment to the sky. It was covered in mylar. If it opened too soon, it would burst. It was my first task and it was all about this equation too.

2 likes

Sandra Solis

I was just speechless, with that strange feeling of when I was little, and something impressed me so much that I could not articulate a word, because the words collided with each other, and it took me time to assimilate it, Chris you are the most exemplary teacher to show someone something of which I never imagined could be real. "And you have to understand this, as if it was the alphabet," this equation. wow, it's too much, it's going from your hand walking, step by step, smiling excited from when you start to where you want to go, with that smile, almost childish, like when everything was really amazing, I was never a maths fan but finally life part of that, right? and maybe I never had the knowledge of it so close. Thank you.

4 likes

Traci

It's all about the shape. This is just a constant wealth of information. There's something incredibly exciting about learning all of this. I love the stories. I could listen to them for hours. This is going to a long night because I can't stop watching this.

2 likes

John H.

I definitely learned some new things about why launch trajectories are shaped the way they are.

0 likes

Anthony

So, now we get to the heart of things: Mathematics, the language of physics. It is wonderful to hear how the math actually works to explain the physical world. I'm hoping there's much more!

2 likes

Jaden P.

I love hearing about the physics and math behind launching rockets into space. Super interesting!

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Lesson Plan

01

Introduction

02

Astronaut Training

03

Rockets: How Rockets Work

04

Rockets: What It Feels Like to Launch

05

Rockets: Atmospheric Drag

06

Rockets: Orbital Mechanics

07

Rockets: Fuels and Propulsion

08

Rockets: The Price of Exploration

09

Spaceships: Capsule Design

10

Spaceships: Shuttles and Beyond

11

Spaceships: Navigation Systems and Human Variables

12

Spaceships: Navigating to the International Space Station

13

The ISS: Conception, Design, and Construction

14

The ISS: Life Support Systems

15

The ISS: Experiments

16

Leadership: Commanding the ISS

17

Training and Learning: One-Pagers

18

Comms: Mission Control Evolution and Operations

19

Spacewalking: Spacesuits

20

Spacewalking: Spacewalks

21

Spacewalking: Training

22

Spacewalking: Space and Perspective

23

Training and Learning: Simulations

24

Mars: How to Get to Mars

25

Mars: Living on Another Planet

26

Mars: In-Situ Resource Utilization

27

Mars: Exploring Mars, Geology, and Astrobiology

28

Conclusion: The Future of Exploration

29

Bonus Chapter: Chris's Journey

I’m having trouble downloading the PDFs. I keep getting this message AccessDeniedRequest has expired36002019-05-02T17:28:03Z2019-05-02T17:41:24ZFC5DF9673A69A655mbv4lBpebaoFaws5QsfF+ZjG1oopqM4hhoiiAq+BAcFvuo/Ex1S9btYm0UYyxRcSPv1LFqMMip4=