Terra Astrophysics (Physical Properties of Terra)


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Hello all!

I decided to do some stuff on the physical properties of Terra. 

First, I must describe my method of taking measurements, specifically, the dimensional analysis. I feel the best option for measuring length in-game is to use the well-known object: the tether. The unit I used for time measurement is the second. Using just these, we can obtain some interesting facts about Terra.

Starting at home base, somewhere along the equator of Terra, I began setting tethers. I walked directly westward, guided underneath the galaxy strip we see at night, walking completely around the equator of Terra, marking the whole way with tethers. I made my absolute best effort to keep the tethers straight and use their full length capacity, stopping when I needed to to fill up on more compounds to make more tethers. Despite my attempts, some deviation is expected due to being forced to take pathways over mountains and through depressions, so the measurements are given as close approximations. The time measurements were taken with a simple stopwatch on my phone and using visual cues (the error is negligibly small). 

THE FACTS: 

One full trip around Terra was approximately 639 tethers. Dividing this circumference by 2*pi, we have the radius of Terra equals approximately 100 tethers. (A nice number, in my opinion!).

I then measured the period of rotation of Terra to be approximately 600 seconds (10 minutes). This makes the rotational speed for Terra (at the equator) approximately 0.01047 1/s. 

Using the approximation for the rotational speed, we find that the tangential velocity of a point of the surface of Terra to be 1.047*cos(theta) tethers/second, where theta is the declination angle (this angle goes from 0-90 degrees as you walk directly north from the equator to the north pole and from 0 to -90 degrees if you go south). At the equator, we have theta equals 0 and the tangential velocity is 1.047 tethers/second.

Additionally, since I don't detect an acceleration due to gravity, we at least have a....velocity due to gravity. This velocity is acquired immediately after release and remains constant over time. On Terra, the velocity due to gravity is measured to be approximately 0.5 tethers/second.

Compiled list of found values pertaining to planet Terra:

                          Radius: 100 tethers

                          Rotation period: 600 seconds

                          Rotation speed: 0.01047 1/second

                          Tangential velocity at equator: 1.047 tethers/second

                          Instantaneous velocity due to gravity: 0.5 tethers/second

______________________________________________________________________________________________________________________________________

Again, these are all close approximations. If anyone can get a better number using the same or different methods, that would be great! This was a lot of fun to do, and I really hope that people use this information! I plan to add to the now-known physics of Terra and also on other planets. Feel free to post your findings!

~R

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