Is it Possible to Capture a Complete Image of Earth from Space?

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SUMMARY

Capturing a complete image of Earth from space in a single shot is mathematically impossible due to the curvature of the planet and limitations of perspective. The discussion references calculations based on data from the International Space Station (ISS) and explores surface area calculations using circle theorems. Participants emphasize the need for precise mathematical representation, suggesting the use of LaTeX for clarity. The conversation highlights the importance of distinguishing between personal theories and established scientific principles.

PREREQUISITES
  • Understanding of circle theorems and their applications
  • Familiarity with the geometry of spheres
  • Basic knowledge of perspective and horizon calculations
  • Proficiency in LaTeX for mathematical expression
NEXT STEPS
  • Research the geometry of spheres and their implications for imaging
  • Explore the mathematics of perspective in photography and imaging
  • Learn how to use LaTeX for formatting mathematical equations
  • Investigate the limitations of satellite imaging technology
USEFUL FOR

Mathematicians, physicists, photographers interested in astrophotography, and anyone exploring the limitations of imaging technology from space.

Mr Lollipop
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I've been messing around with some circle theorems and found that you couldn't possibly take a picture of a full Earth from a single shot. Is this impossible? Is their some math to prove otherwise, I'm really stuck.
 
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Mr Lollipop said:
I've been messing around with some circle theorems and found that you couldn't possibly take a picture of a full Earth from a single shot. Is this impossible? Is their some math to prove otherwise, I'm really stuck.
Welcome to the PF.

What distance are you using for your calculations?
 
Mr Lollipop said:
I've been messing around with some circle theorems and found that you couldn't possibly take a picture of a full Earth from a single shot. Is this impossible? Is their some math to prove otherwise, I'm really stuck.
Huh? Do you mean a single shot taking a pic of the entire surface of the Earth? That's rather trivially impossible so I'm thinking you must be asking something else but I can't figure out what.
 
I'm guessing he means a full hemisphere, but we'll see what his reply is...
 
berkeman said:
Welcome to the PF.

What distance are you using for your calculations?
Screenshot_20170530-164914_1.jpg


I used the ISS space station data of the horizon, tried to calculate surface area underneath using two separate techniques. I also drew out some diagrams involving circles and spheres, to my dismay came across some irregularities.

Thank-you FP [emoji1]
 
Mr Lollipop said:
View attachment 204542

I used the ISS space station data of the horizon, tried to calculate surface area underneath using two separate techniques. I also drew out some diagrams involving circles and spheres, to my dismay came across some irregularities.

Thank-you FP [emoji1]
Could you please describe in words what "irregularities" you are finding?
 
berkeman said:
Could you please describe in words what "irregularities" you are finding?
I have an overall theory, but this image could probably describe it better than I can. Sorta touching on quantum mechanics.

shape_of_future.jpg
 
Mr Lollipop said:
I have an overall theory, but this image could probably describe it better than I can. Sorta touching on quantum mechanics.

View attachment 204543
Well, we don't discuss personal theories here at the PF. If you are having problems with some math in your calculations, you can post that (prefereably type it into the forum, rather than posting fuzzy cell phone pictures). There is a LaTeX tutorial here to help you learn to type equations:

https://www.physicsforums.com/help/latexhelp/
 
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I don't think they're personal theories because I'd be surprised if nobody reached similar conclusion. But cheers, I will try to better my layout.
 
  • #10
It seems this thread has multiple issues. Please repost what you have in the Topology and Analysis forums. It does not appear to have anything to do with Quantum Mechanics.

Thank you.
 

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