- #1
ldechent
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I’m studying GR and am curious about manifold, atlas and charts. I have an idea for building a simple example, in one dimension, and wanted to ask if what I’m doing below is “legal”/correct. Imagine a space flight that can be divided into three segments:
The metrics for the first and last chart vary with position to offset or counter (probably could find a better word) the change to velocity. This is done in a way that points on the travel line that are equally spaced chronologically will appear equally spaced. We might say that A-B and C-D are sort of “cousins” to semi-log graph paper. Comment and suggestions are appreciated.
- A-B: velocity starts at zero and it increases at a constant rate to the cruising velocity
- B-C: velocity is constant at the cruising velocity
- C-D: velocity decreases at a constant rate from the cruising velocity to zero
The metrics for the first and last chart vary with position to offset or counter (probably could find a better word) the change to velocity. This is done in a way that points on the travel line that are equally spaced chronologically will appear equally spaced. We might say that A-B and C-D are sort of “cousins” to semi-log graph paper. Comment and suggestions are appreciated.