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What is wrong in the calculations ???
- Subject: [amsat-bb] What is wrong in the calculations ???
- From: "William Leijenaar" <pe1rah@xxxxxxxxxxx>
- Date: Sat, 17 Jan 2004 00:55:13 +0100
Hi AMSATs,
I am doing some calculations with a E to M mission :o)
No EME, but just EM hihi
I didnt talk about m**n :o)
On internet I found some interresting calculations, but after some
investigation I find some problems.
The calculations can be found on the following webpage:
http://hyperserver.engrg.uwo.ca/ilc-usn/Reports/LTVS/html/Mission%20Profile%20and%20Functions.htm
In the page the following can be found:
"the velocity of the LTVS as it approaches the moon can be found by:"
Followed by following formula
-----------------------------
Vb = sqrt(2u/Rb) ** sqrt is square root
>From other formulas I have, it seems to me that the "2u" must be "u"
My calculations:
The following formulas I have used:
1: V,orbit = sqrt(R x g,orbit)
2: g,orbit = G x M / R^2
3: u = G x M
When changing g,orbit of formula 1 we get:
------------------------------------------
V,orbit = sqrt(R x (G x M / R^2) )
Changing "G x M" in "u" gives:
------------------------------
V,orbit = sqrt(R x u / R^2)
And finally we get:
-------------------
V,orbit = sqrt(u / R) !!!!!!
So where is the 2 comming from ???
Maybe some other formula or other speed is calculated ???
73 de PE1RAH, in Peru, close to Machu Picchu :o)
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