Calculations for Science Fiction Writers/Circular Orbits
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About this ebook
This is one of a planned series called Calculations for Science Fiction Writers. Other chapters will include space travel with constant acceleration, relativistic and nonrelativistic cases, elliptical orbits, rotational dynamics, and more. For those writers who want to get the details right!
Circular orbits are the simplest kind, and some quick and easy calculations will make your science fiction stories involving planets and satellites a lot more credible. The circular orbit is a solution of what is sometimes called the one-body problem in orbital dynamics.
Suppose you’re writing a science fiction story, involving a satellite in Earth orbit. For purposes of the plot, you want the satellite to have an orbital period of one hour. Surely, some of your readers are going to point out such an orbit is impossible – it would have to have a radius less than the radius of the Earth!
As another example, suppose your story involves a space station, rotating on its axis, like the one in the movie 2001: A Space Odyssey. You want to give your readers some idea of what it’s like to live on this space station, including its size, and the effective gravity felt by passengers. Of course, those things are related to the rate of spin, which is also an important aspect of life onboard. Given the radius and the acceleration, what is the period of spin? Is it 1 second, or 100? It makes a big difference! If you just guess, some of your readers will catch you.
William Haloupek
William Haloupek Mathematician -- PhD 1992 University of Wisconsin-Madison Astronomy is my hobby. Kind of an obsession at times! Not so much about where to point my telescope, but more learning about exotic places. I started out in Topology and Analysis at Texas Tech, then went to Wisconsin and switched to Applied Math. Started working on a PhD thesis in General Relativity, then changed to Dynamical Systems, and ended up with a PhD in Differentiability Theory. Studied a lot of Classical Physics. I also worked as a radar engineer in the missile defense industry for 10 years. This gave me an appreciation of the "real world." Other hobbies: genealogy, coin collecting, science fiction, philosophy, hiking.
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Calculations for Science Fiction Writers/Circular Orbits - William Haloupek
Calculations for Science Fiction Writers
Circular Orbits
v2
William Haloupek
Copyright 2013 William Haloupek
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This is one of a planned series called Calculations for Science Fiction Writers. Other chapters will include space travel with constant acceleration, relativistic and nonrelativistic cases, elliptical orbits, rotational dynamics, and more. For those writers who want to get the details right!
Suppose you’re writing a science fiction story, involving a satellite in Earth orbit. For