I've been asked to slow it down which I do have some woodworking projects I am working on and I need to pace myself.
With atmospheric pressures and gravity, bringing gravity into the equation would actually expand what influences the Earth's atmosphere.
With p = 93/(1 + 0.02395)^x, why the exponent is a percentage and not a real number does matter. I've told students who
follow Dr. Tom Crawford on his YouTube channel
https://www.youtube.com/@TomRocksMaths that one day I would explain why 8^0 = 1 is wrong. This gets into function of which math is based on function just as x, /, + or - is a function.
And I know calculators will say 8^0 = 1. With using Venus as the limit in the same fashion as
f(x) = 93/(1 + 0.02395)^x
lim
x ----> 0 (0 = 1 or 100%)
You can approach 0 from higher or lower but you can never reach it because it's the limit. This allows for 8^-1 as an
example to allow x to be 12.5% which is what 1/8 or .125 is. And this allows for ∫ with upper and lower limits but it isn't necessary for this discussion.
This means when using Venus as the basis for showing a relationship with Earth and Mars and with Mercury it's theoretical then when (1 + 0.02395)^0 = 1 is the same as 8^0 = 1. But I'm not multiplying a number. What is being factored is surface area. An example is 8^0 = 1 is a surface area of 1 x 1. Then 8^1 = 8 is a surface area of 8 squares.
And the values that describe the surface area is 2.828427125^2. That is the square around the 8 squares.
I realized this when trying to understand why I needed to use the exponent differently for the equation to work. And it came back to am I describing a surface area or am I calculating a value? With the example of 8 squares, it's values are
2.828^2. And the surface area is a quantity. And with understanding the relationship between space and atmospheric pressure, the inverse square law applies.
With Newton's g = Gm/r^2, the radius squared is the inverse law increasing the surface area of space which has the inverse affect of decreasing the acceleration of gravity.
It'll probably be a few days before I have anything else to add. This is because 8 can also be multiplied using an exponent kind of like what the log function is. But to understand how atmospheric pressures relate to the Sun's gravity, then it needs to stay within what the values in the equation represent. And for people who haven't considered this before, it might take well into next year to consider that a number to a power is actually describing the surface area of something.
This is a link to the inverse square law, it might help you guys to consider what I posted in relation to what has been made known. And they do show when moving from 1 the numbers are squared and it is surface area.If you notice they are using whole numbers and with my example of 8 squares, then instead of 3r it uses something like 2.8r instead.
http://hyperphysics.phy-astr.gsu.edu/hbase/Forces/isq.html