Recent content by renormalize

Actually, a few different mathematical models have been proposed for the steady-state universe. For example, take a look at this 1960 paper by Bonnor and the references therein: The relativistic model of the steady-state universe.

Please cite your specific textbook(s) and online sources so we may also take a look.

From skimming through the video referenced by the OP, the known rocket parameters are: ##c_n## is the exhaust velocity of the ##n^\text{th}-##stage rocket motor. ##s_n## is the ##n^\text{th}-##stage structural factor (fraction of the total stage-mass that is not fuel). ##V_f## is the desired...

I'm softening in my adamant opposition to AI videos featuring real people when said videos are made in service to satire (and set to catchy tunes). Cast aside your politics and search out "Little Marco (Sitcom Edition)" on YouTube for a prime example.

OK, this level of detail may be worthwhile if your diagram/model is made large enough. Keep in mind that the diameter of Earth's orbit is ##2 \text{AU}## but the diameter of the Sun is just ##0.0093 \text{AU}##, meaning that the size of the sun is only ##1/215\text{-th}## the size of the orbit.

I'm curious how such kids learn to intuit and visualize the concepts of "clockwise" and "counter-clockwise" so as to be able to perform practical tasks based on pithy advice like "righty tighty, lefty loosey". In a future with no analog clocks will everyone have to understand the right-hand...

I took a look at your two references and several other papers cited therein. All of them represent discussions of the Coriolis force in the context of meteorology and atmospheric/oceanic studies, i.e., they study rotating fluids. Why should the broader analysis of physical systems (i.e...

I've thought a bit more about it and decided to use Mathematica to investigate your question, as I understand it. Since you haven't specified the location of the weather data you want to use, I arbitrarily chose to download (from NOAA) 2025 daily maximum temperatures for Seattle, Washington...

Is there any reason you can't share here in this thread at least a brief summary of the answer you received, so that everyone may read it?

I disagree. Consider this right triangle: We have the "awkward expression":$$\tan\theta\equiv\frac{c}{a}=\frac{1}{\sqrt{\frac{b^{2}}{c^{2}}-1}}$$And obviously ##\tan\theta## is a "quantity that grows without bounds" as ##b\rightarrow c##. Do you therefore advocate avoiding the "suspicious"...

The Earth's orbit is an almost-circular ellipse.

Suppose you draw the orbit as a 200mm (approximately 8 inch) diameter circle centered on the sun. Then the actual position of the Earth in northern winter would be shifted by less than 2mm to the inside of the circle. How visually noticeable do you consider that?

No, that statement is too restrictive. It's true that the singularity theorems of GR are defined in terms of geodesic incompleteness, but it's also true that physical quantities diverge at a spacetime singularity. See Recent Developments in Gravitational Collapse and Spacetime Singularities for...

How precise does the drawing have to be? According to https://en.wikipedia.org/wiki/Apsis, the Earth's orbital radius at aphelion vs. perihelion in AU is ##1\pm0.0167##. That's less than 2% deviation from a perfect circle. Is depicting Earth's orbit as a simple circle close enough for your...