... and I have to recalculate my altitudes.
The altitudes will change a bit, the champions for each continent, however, will remain. Huascaran is a fierce competitor for Chimborazo in the race for the highest ...
Thanks, Paul, for this excellent contribution!
I contend that the champions may not stay the same. You may want to have an independent check of your work done.
That's exactly what I am after: independent check.
I also have a problem with the 2 formats of your equation. Separate note to follow.
yes, surely the two equations listed just after the title "the Equation" are not equivalent?
First one is all under a square root, which is missing in the second. Also, the second term has 2Z times a two-term square root; that root is missing in the second equation.
I lost track of the parenthesis in the Excel version, but I think it tracks the first form.
It's an issue with your browser. It looks fine (is correct) in Mozilla but the square root symbols are missing in Internet Exploder. Try a different browser. Thanks for the heads up. I'll have to put that note in the write-up, or simply remove the square root symbols everywhere to avoid the problem and instead go with 0.5 exponents.
The page isn't finished and I am learning some of the these math-related html formats. There are more html math possibilities than I ever realized.
Glad to see others care about this stuff! Time to play :)
...that's my bias.
I think elevation should be measured from earth's centre of gravity as the distance from the CG is what affects my weight and and the effect of gravity is also what holds the atmosphere in place and is consequently responsible (I know there are other local factors at play) for how much oxygen is available to breath. Last time I read anything on the topic the CG was about 10km from the geometric centre.
Could you give references to this? From what I understand, WGS 84 is already based on the Earth's center of gravity, see here.
Paul, Your formula produces a result that says my Lazy Boy is 3,957.457 miles from the center of the earth. I always wondered about that measurement because I want to keep my distance from that hell. It appears that heaven is much closer.
Don't know if this will help anyone but I converted your equation into Unicode, I used ϕ phi for latitude but here is theta: θ
√[(a⁴ cos²(ϕ)+ b⁴ sin²(ϕ))/(a² cos²(ϕ) + b² sin²(ϕ)) + 2(Z + G)√[a² cos²(ϕ) + b² sin²(ϕ)] + (Z + G)²]
You can paste that into Wolfram|Alpha and it will format it nicely for you, like so: https://2.bp.blogspot.com/-IoCuHBZH0xg/V7YKtKGWFtI/AAAAAAAACBk/BTFqyTMn1TUGhNL3rkFHu2MFEUIijaJLQCLcB/s1600/equation-for-height-relative-to-geoid.gif
Usually I can get wolfram|alpha to accept value assignments and solve the equation but it just wouldn't work for this one - maybe too many equations.
now the question is -- will this comment post work with Unicode...