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Old 04-19-07, 04:21 PM   #1
micky1up
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Default tote for working out manual solutions

its a format for working out a solution

R=range
B=bearing rate
R=RSA(relative speed across)
O=OSA(own speed across)
T=TSA (targets speed across)
S= speed
A=ATB
R=reciprocal bearing
C=course


and DOT which distance off track which is always handy


range = 2x RSA /BEARING RATE
BEARING RATE = 2X RSA/ RANGE
RSA= BEARING RATEXRANGE/2
OSA =SIN REL BRG X OWN SPEED
TSA = SIN ATB X TGT SPEED
SPEED =TSA/SIN ATB
ATB =TSA/SPEED INV SIN
DOT = RANGE X SIN ATB


THIS IS HOW WE GET TO A BEARING RATE ONLY SOLUTION IN THE RN SOMETIMES YOU NEED TO GUESTIMATE SPEED AND RANGE HERES AND EXAMPLE
own course 030 speed 8 tgt range 16k bearing rate 1.0L bearing 060 speed 16 find tgt course ( if you go down the tote same directions add different subtract opposite if you go up the tote differnt add same subtract)

RANGE 16000YDS
BEARING RATE 1.0L
RSA 8L
OSA 4L
TSA 12L
SP 16
ATB 48PT
RECIP BRG 240
COURSE 288 (pt atb plus stb subtract)
DOT 12k
you can do this on a calculator using the formulae or on the old bearing rate widger standard issue on RN subs or if you good enough in your head


for intance sin atb 30 =.5 or half so if the range is 10k then the dot =5k( dot is a estimate of how close the target is going to come it dosent take into account own speed so it may come closer but its a quick way of making sure your safe)
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Old 04-19-07, 04:40 PM   #2
PeriscopeDepth
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Thank you micky, this kind of stuff is great (especially when you have a programmable calculator handy). Anything else like this that you're allowed to share would be most welcome.

PD
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Old 04-19-07, 04:46 PM   #3
micky1up
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sins in your head using clock face rule


imagine a clock

10mins past = 1/6th
15mins past -=1/4
20 past= 1/3
30 mins past easy = 1/2
40 =2/3
anything over 45 add 25 and call it a percentage

so distance of track atb 50 at 10000= 50 +25(over 45 add 25)call at percentage 75% dot =7500yds
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Old 04-19-07, 05:28 PM   #4
Bill Nichols
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Quote:
Originally Posted by micky1up
sins in your head using clock face rule


imagine a clock

10mins past = 1/6th
15mins past -=1/4
20 past= 1/3
30 mins past easy = 1/2
40 =2/3
anything over 45 add 25 and call it a percentage

so distance of track atb 50 at 10000= 50 +25(over 45 add 25)call at percentage 75% dot =7500yds
Another (equivalent) way to estimate sines is:

sin(X degrees) = X / 60

which works surprisingly well for X < about 45 degrees.
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Old 04-20-07, 03:55 AM   #5
Pisces
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Quote:
Originally Posted by Bill Nichols
Quote:
Originally Posted by micky1up
sins in your head using clock face rule


imagine a clock

10mins past = 1/6th
15mins past -=1/4
20 past= 1/3
30 mins past easy = 1/2
40 =2/3
anything over 45 add 25 and call it a percentage

so distance of track atb 50 at 10000= 50 +25(over 45 add 25)call at percentage 75% dot =7500yds
Another (equivalent) way to estimate sines is:

sin(X degrees) = X / 60

which works surprisingly well for X < about 45 degrees.

My left brain says: " Ugh!! Yuck! Up to 6% error. How horrible unprecise."

My right brain says: "Wow! What a beautiful picture. This helps to get things in perspective"

I wonder which one is going to win this fight. Great help guys.

Last edited by Pisces; 04-20-07 at 04:15 AM.
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Old 04-20-07, 03:55 AM   #6
Linton
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Would anybody be able to format the above into a useful reference sheet to use in the game?
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Old 04-20-07, 05:39 AM   #7
OneShot
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A bit more elaboration on it would be nice ... for example what some of the units mean, ie "L" and "PT" for starters. Perfect would be representation with real math symbols and a nice legend for the unit (write - scan - post ... sorta).

Cheers
OS

Last edited by OneShot; 04-20-07 at 05:52 AM.
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Old 04-20-07, 06:10 AM   #8
Bill Nichols
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Quote:
Originally Posted by Pisces
Quote:
Originally Posted by Bill Nichols
Quote:
Originally Posted by micky1up
sins in your head using clock face rule


imagine a clock

10mins past = 1/6th
15mins past -=1/4
20 past= 1/3
30 mins past easy = 1/2
40 =2/3
anything over 45 add 25 and call it a percentage

so distance of track atb 50 at 10000= 50 +25(over 45 add 25)call at percentage 75% dot =7500yds
Another (equivalent) way to estimate sines is:

sin(X degrees) = X / 60

which works surprisingly well for X < about 45 degrees.

My left brain says: " Ugh!! Yuck! Up to 6% error. How horrible unprecise."

My right brain says: "Wow! What a beautiful picture. This helps to get things in perspective"

I wonder which one is going to win this fight. Great help guys.

Your left brain had better get out of the way... what I posted was taught to me in the US Navy's submarine school.
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Old 04-20-07, 07:45 AM   #9
micky1up
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Quote:
Originally Posted by OneShot
A bit more elaboration on it would be nice ... for example what some of the units mean, ie "L" and "PT" for starters. Perfect would be representation with real math symbols and a nice legend for the unit (write - scan - post ... sorta).

Cheers
OS
sorry L means left R means right (osa and tsa annd rsa always have a diection left or right)

pt means port and stb means starboard
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Old 04-20-07, 10:38 AM   #10
Linton
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All of the above with a simple diagram would be excellent.
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Old 04-20-07, 11:07 AM   #11
micky1up
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would you like a pound of my flesh aswell
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Old 04-20-07, 11:21 AM   #12
Linton
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Quote:
Originally Posted by micky1up
would you like a pound of my flesh aswell
Micky1up, I wasn't asking for it yesterday,but could you view it as an urgent operational requirement!!!
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Old 04-20-07, 11:27 AM   #13
micky1up
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just call me micky but if you want i can come round your house clean up hoover set your recordings on sky wash your car and feed the dog


all i do is write down rbrostarc vertically and write the numbers across from the relavent term in the ruff we do this on board on the fly although some boats have a traflight tally made up



p.s i wont mention what you want me to do to the wife
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Old 04-20-07, 11:37 AM   #14
micky1up
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i do have some formulae for narrowband but because it isnt really simulated in the game as its done for real it wouldnt be much use in those formulae its all done with speed of sound and co sin's
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Old 04-20-07, 11:41 AM   #15
Linton
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Micky ,the wife said would next tuesday be ok ,and I would be interested just to see the narrowband mathematics if you would post it or pm it.
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