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Thread: Help Wanted Math Problems

07022006, 11:40 AM #1
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Help Wanted Math Problems
I do not know how to use javascript math.
Is there a good explanation where complicated formulas are being discussed.
K3 = [k0sin^41" (nu) sin(lat)cos^3(lat)/24][(5  tan^2(lat) + 9e'^2cos^2(lat) + 4e'^4cos4(lat)]
where:
sin1" = pi/(180*60*60)
e = SQRT(1b2/a2)
e'2 = (ea/b)2 = e2/(1e2)
nu = a/(1e2sin2(lat))1/2
^2 means x² and ^3 x³ and so on...
lat, k0, nu, e' are variables...
My tries causes wrong results.
The line is an example of some lines I need.
(attached files show topic and all formulas)
May someone can help me?
Thanks
Marcel
07022006, 11:47 PM
#2
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i am confused over this.
sin(1") = pi/(180*60*60).
shouldn't it be 1"=pi/(180*60*60)?
either way, it is so close to 0 that sin(1") approximates 1", or 4.8481368 x 10^6, or 0.0000048481368, so we'll just use that.
Also, be very verbose when using * for multiplication and ^ for powers.
try:
to explain the problem. Otherwise it is very hard to decipher without really looking into the documentation provided.Code:K3 = [k0 * sin(1")^4 * (nu) * sin(lat) * cos(lat)^3 /24] [ 5  tan(lat)^2 + 9 * e'^2 * cos(lat)^2 + 4 * e'^4 * cos(lat)^4] where: sin1" = pi/(180*60*60) e = SQRT(1b^2/a^2) e'2 = (e*a/b)^2 = e^2/(1e^2) nu = a/(1e^2 * sin(lat)^2) ^ (1/2)
Now to the solution:
Note: I don't even know if this works. I just threw it together. All the necessary Math functions, Math.pow, Math.sqrt, Math.sin, Math.cos, Math.tan, are all you should need. Just note that they use radian measure and not degree measure.Code:var sin_one_minute = 0.0000048481368; var e = Math.sqrt(1b*b/a*a); var e_prime_2 = Math.pow((e*a/b),2); var nu = a / Math.sqrt(1  e*e * Math.pow(Math.sin(lat),2)); K3 = (k0 * Math.pow(sin_one_minute,4) * nu * Math.sin(lat) * Math.pow(Math.cos(lat),3) / 24) * (5  Math.pow(Math.tan(lat),2) + 9 * e_prime_2 * Math.pow(Math.cos(lat),2) + 4 * Math.pow(e_prime_2,2) * Math.pow(Math.cos(lat),4));