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vector movement - SS Graf Spee vs INS Ajax at Montevideo

very well, 4 turns of (xd,yd)(0,-1)

gs2_18.gif


</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">SS Graf Spee vs INS Ajax at Montevideo

SS Graf Spee - M1, disabled at 1 hit
INS Ajax - M6, weapons' range 3LS

Graf Spee Ajax
location vector vector d location vector vector d
turn x y xv yv xd yd Ajax x y xv yv xd yd GS
001 199 199 000 000 00 01 4.4 199 66 000 000 -05 03 4.4
002 199 199 000 001 01 00 4.5 197 67 -005 003 -06 00 4.5
003 199 200 001 001 00 01 4.3 189 70 -011 003 -06 00 4.3
004 200 201 001 002 00 01 4.3 175 73 -017 003 -05 02 4.3
005 201 203 001 003 01 00 4.5 156 77 -022 005 01 05 4.5
006 202 206 002 003 00 01 4.7 134 84 -021 010 02 05 4.7
007 204 209 002 004 00 01 4.8 114 96 -019 015 02 05 4.8
008 206 213 002 005 01 00 5.0 96 113 -017 020 03 05 5.0
009 208 218 003 005 00 -01 5.1 80 135 -014 025 05 03 5.1
010 211 223 003 004 01 00 5.2 68 161 -009 028 06 00 5.2
011 214 227 004 004 00 -01 5.2 62 189 -003 028 06 00 5.2
012 218 231 004 003 01 00 5.2 62 217 003 028 06 00 5.2
013 222 234 005 003 00 -01 5.1 68 245 009 028 04 -04 5.1
014 227 237 005 002 00 -01 5.1 79 271 013 024 04 -04 5.1
015 232 239 005 001 00 -01 4.9 94 293 017 020 04 -04 4.9
016 237 240 005 000 00 -01 4.8 113 311 021 016 04 -04 4.8
017 242 240 005 -001 00 -01 4.5 136 325 025 012 04 -04 4.5
018 247 239 005 -002 -- -- 4.3 163 335 029 008 -- -- 4.3

</pre>[/QUOTE]distance between the ships is still dropping rapidly.
 
Wait - I only asked for 3. Can we back up 1 turn?
Click to expand...
whoops, my mistake, sorry. sure, backing up is no problem, and now 3 turns at (xd,yd)(-1,0).

gs2_20.gif


</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">SS Graf Spee vs INS Ajax at Montevideo

SS Graf Spee - M1, disabled at 1 hit
INS Ajax - M6, weapons' range 3LS

Graf Spee Ajax
location vector vector d location vector vector d
turn x y xv yv xd yd Ajax x y xv yv xd yd GS
001 199 199 000 000 00 01 4.4 199 66 000 000 -05 03 4.4
002 199 199 000 001 01 00 4.5 197 67 -005 003 -06 00 4.5
003 199 200 001 001 00 01 4.3 189 70 -011 003 -06 00 4.3
004 200 201 001 002 00 01 4.3 175 73 -017 003 -05 02 4.3
005 201 203 001 003 01 00 4.5 156 77 -022 005 01 05 4.5
006 202 206 002 003 00 01 4.7 134 84 -021 010 02 05 4.7
007 204 209 002 004 00 01 4.8 114 96 -019 015 02 05 4.8
008 206 213 002 005 01 00 5.0 96 113 -017 020 03 05 5.0
009 208 218 003 005 00 -01 5.1 80 135 -014 025 05 03 5.1
010 211 223 003 004 01 00 5.2 68 161 -009 028 06 00 5.2
011 214 227 004 004 00 -01 5.2 62 189 -003 028 06 00 5.2
012 218 231 004 003 01 00 5.2 62 217 003 028 06 00 5.2
013 222 234 005 003 00 -01 5.1 68 245 009 028 04 -04 5.1
014 227 237 005 002 00 -01 5.1 79 271 013 024 04 -04 5.1
015 232 239 005 001 00 -01 4.9 94 293 017 020 04 -04 4.9
016 237 240 005 000 00 -01 4.8 113 311 021 016 04 -04 4.8
017 242 240 005 -001 -01 00 4.5 136 325 025 012 04 -04 4.5
018 247 239 004 -001 -01 00 4.3 163 335 029 008 00 -06 4.3
019 251 238 003 -001 -01 00 3.9 192 340 029 002 00 -06 3.9
020 254 237 002 -001 -- -- 3.6 221 339 029 -004 -- -- 3.6

</pre>[/QUOTE]looks like graf spee is done here, there's no way it can evade the ajax now.
 
2 more turns on the same course, please.

I am afraid you are right, tho I hate to give up


I am within the "no fire" zone, right?
 
I thought I saw the beginning of a turn kind of inside Ajax's arc in the making Billy
Not sure it'll work but...

If the Graf Spee cut a tight arc, aiming for somewhere around the 315deg point of the 100d line, going around Montevideo, will it gain anything while Ajax is forced to come to a stop or turn outside the 100d line and come back?

Or will Ajax be able to maintain its circuit and still catch the Graf Spee on the other side?
 
I could delete it, if flykiller hasn't already seen it ;)

btw, as I understand it yes, anywhere within the 100d line is a no fire/no go zone for the Ajax. You're safe, if the Imps can be trusted
file_23.gif
 
I hate to do this, but I gotta go. Well, I don't really hate it - I'm going fly-fishing in New Mexico for a long weekend :D

Maybe far-trader or Oz can take command. Of course, they may not want this sit rep.


Good Luck for whomever does jump into the frying pan. I'm catching fish.
file_21.gif
 
two more turns then. and yes, the ajax is not supposed to fire through montevideo's 100d. and yes, I'll ignore the previous comments.

gs2_22.gif


</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">SS Graf Spee vs INS Ajax at Montevideo

SS Graf Spee - M1, disabled at 1 hit
INS Ajax - M6, weapons' range 3LS

Graf Spee Ajax
location vector vector d location vector vector d
turn x y xv yv xd yd Ajax x y xv yv xd yd GS
001 199 199 000 000 00 01 4.4 199 66 000 000 -05 03 4.4
002 199 199 000 001 01 00 4.5 197 67 -005 003 -06 00 4.5
003 199 200 001 001 00 01 4.3 189 70 -011 003 -06 00 4.3
004 200 201 001 002 00 01 4.3 175 73 -017 003 -05 02 4.3
005 201 203 001 003 01 00 4.5 156 77 -022 005 01 05 4.5
006 202 206 002 003 00 01 4.7 134 84 -021 010 02 05 4.7
007 204 209 002 004 00 01 4.8 114 96 -019 015 02 05 4.8
008 206 213 002 005 01 00 5.0 96 113 -017 020 03 05 5.0
009 208 218 003 005 00 -01 5.1 80 135 -014 025 05 03 5.1
010 211 223 003 004 01 00 5.2 68 161 -009 028 06 00 5.2
011 214 227 004 004 00 -01 5.2 62 189 -003 028 06 00 5.2
012 218 231 004 003 01 00 5.2 62 217 003 028 06 00 5.2
013 222 234 005 003 00 -01 5.1 68 245 009 028 04 -04 5.1
014 227 237 005 002 00 -01 5.1 79 271 013 024 04 -04 5.1
015 232 239 005 001 00 -01 4.9 94 293 017 020 04 -04 4.9
016 237 240 005 000 00 -01 4.8 113 311 021 016 04 -04 4.8
017 242 240 005 -001 -01 00 4.5 136 325 025 012 04 -04 4.5
018 247 239 004 -001 -01 00 4.3 163 335 029 008 00 -06 4.3
019 251 238 003 -001 -01 00 3.9 192 340 029 002 00 -06 3.9
020 254 237 002 -001 -01 00 3.6 221 339 029 -004 -03 -05 3.6
021 256 236 001 -001 -01 00 3.2 249 333 026 -009 -03 -05 3.2
022 257 235 000 -001 -- -- 3.0 274 322 023 -014 -- -- 3.0

</pre>[/QUOTE]
 
Please maintain course & accel. Now, I really have to either fold or turn it over to someone.

Far-Trader?? Oz??

Good Luck, guys. I'll check in on Sunday. :D
 
far-trader or the oz, or for that matter anyone, feel free to step in. I believe I see an opportunity here for graf spee to escape.
 
Bummer, I was hoping someone would pick this up.

Fly, if you want ot continue, I would maintain course & accel for 10 turns. Repeat 10 turns.
 
ten turns.

gs2_32.gif


</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">SS Graf Spee vs INS Ajax at Montevideo

SS Graf Spee - M1, disabled at 1 hit
INS Ajax - M6, weapons' range 3LS

Graf Spee Ajax
location vector vector d location vector vector d
turn x y xv yv xd yd Ajax x y xv yv xd yd GS
001 199 199 000 000 00 01 4.4 199 066 000 000 -05 03 4.4
002 199 199 000 001 01 00 4.5 197 067 -005 003 -06 00 4.5
003 199 200 001 001 00 01 4.3 189 070 -011 003 -06 00 4.3
004 200 201 001 002 00 01 4.3 175 073 -017 003 -05 02 4.3
005 201 203 001 003 01 00 4.5 156 077 -022 005 01 05 4.5
006 202 206 002 003 00 01 4.7 134 084 -021 010 02 05 4.7
007 204 209 002 004 00 01 4.8 114 096 -019 015 02 05 4.8
008 206 213 002 005 01 00 5.0 96 113 -017 020 03 05 5.0
009 208 218 003 005 00 -01 5.1 80 135 -014 025 05 03 5.1
010 211 223 003 004 01 00 5.2 68 161 -009 028 06 00 5.2
011 214 227 004 004 00 -01 5.2 62 189 -003 028 06 00 5.2
012 218 231 004 003 01 00 5.2 62 217 003 028 06 00 5.2
013 222 234 005 003 00 -01 5.1 68 245 009 028 04 -04 5.1
014 227 237 005 002 00 -01 5.1 79 271 013 024 04 -04 5.1
015 232 239 005 001 00 -01 4.9 94 293 017 020 04 -04 4.9
016 237 240 005 000 00 -01 4.8 113 311 021 016 04 -04 4.8
017 242 240 005 -001 -01 00 4.5 136 325 025 012 04 -04 4.5
018 247 239 004 -001 -01 00 4.3 163 335 029 008 00 -06 4.3
019 251 238 003 -001 -01 00 3.9 192 340 029 002 00 -06 3.9
020 254 237 002 -001 -01 00 3.6 221 339 029 -004 -03 -05 3.6
021 256 236 001 -001 -01 00 3.2 249 333 026 -009 -03 -05 3.2
022 257 235 000 -001 -01 00 3.0 274 322 023 -014 -04 -04 3.0
023 257 234 -001 -001 -01 00 2.7 295 306 019 -018 -05 -03 2.7
024 256 233 -002 -001 -01 00 2.6 312 287 014 -021 -05 -03 2.6
025 254 232 -003 -001 -01 00 2.6 324 265 009 -024 -05 -03 2.6
026 251 231 -004 -001 -01 00 2.7 331 240 004 -027 -05 -03 2.7
027 247 230 -005 -001 -01 00 2.9 333 212 -001 -030 -05 -03 2.9
028 242 229 -006 -001 -01 00 3.3 330 181 -006 -033 -03 05 3.3
029 236 228 -007 -001 -01 00 3.9 323 150 -009 -028 -03 05 3.9
030 229 227 -008 -001 -01 00 4.4 313 124 -012 -023 -03 05 4.4
031 221 226 -009 -001 -01 00 4.9 300 103 -015 -018 -03 05 4.9
032 212 225 -010 -001 -- -- 5.2 284 087 -018 -013 -- -- 5.2

</pre>[/QUOTE]it's clear that graf spee cannot escape on the left side.
 
Fly,

This is an example of the 'powered orbit' I was blathering about earlier.

Given the physical parameters and with a vector already established, INS Ajax can always prevent SS Graf Spee from escaping.


Have fun,
Bill

P.S. By physical parameters, I'm referring to the acceleration of both ships, their weapon ranges, and the size of the 100D limit. Change any of those and the results will change too.
 
(laugh) if we were using damage control rules it might happen. well, here's six more turns.

gs2_38.gif


</font><blockquote>code:</font><hr /><pre style="font-size:x-small; font-family: monospace;">SS Graf Spee vs INS Ajax at Montevideo

SS Graf Spee - M1, disabled at 1 hit
INS Ajax - M6, weapons' range 3LS

Graf Spee Ajax
location vector vector d location vector vector d
turn x y xv yv xd yd Ajax x y xv yv xd yd GS
001 199 199 000 000 00 01 4.4 199 066 000 000 -05 03 4.4
002 199 199 000 001 01 00 4.5 197 067 -005 003 -06 00 4.5
003 199 200 001 001 00 01 4.3 189 070 -011 003 -06 00 4.3
004 200 201 001 002 00 01 4.3 175 073 -017 003 -05 02 4.3
005 201 203 001 003 01 00 4.5 156 077 -022 005 01 05 4.5
006 202 206 002 003 00 01 4.7 134 084 -021 010 02 05 4.7
007 204 209 002 004 00 01 4.8 114 096 -019 015 02 05 4.8
008 206 213 002 005 01 00 5.0 96 113 -017 020 03 05 5.0
009 208 218 003 005 00 -01 5.1 80 135 -014 025 05 03 5.1
010 211 223 003 004 01 00 5.2 68 161 -009 028 06 00 5.2
011 214 227 004 004 00 -01 5.2 62 189 -003 028 06 00 5.2
012 218 231 004 003 01 00 5.2 62 217 003 028 06 00 5.2
013 222 234 005 003 00 -01 5.1 68 245 009 028 04 -04 5.1
014 227 237 005 002 00 -01 5.1 79 271 013 024 04 -04 5.1
015 232 239 005 001 00 -01 4.9 94 293 017 020 04 -04 4.9
016 237 240 005 000 00 -01 4.8 113 311 021 016 04 -04 4.8
017 242 240 005 -001 -01 00 4.5 136 325 025 012 04 -04 4.5
018 247 239 004 -001 -01 00 4.3 163 335 029 008 00 -06 4.3
019 251 238 003 -001 -01 00 3.9 192 340 029 002 00 -06 3.9
020 254 237 002 -001 -01 00 3.6 221 339 029 -004 -03 -05 3.6
021 256 236 001 -001 -01 00 3.2 249 333 026 -009 -03 -05 3.2
022 257 235 000 -001 -01 00 3.0 274 322 023 -014 -04 -04 3.0
023 257 234 -001 -001 -01 00 2.7 295 306 019 -018 -05 -03 2.7
024 256 233 -002 -001 -01 00 2.6 312 287 014 -021 -05 -03 2.6
025 254 232 -003 -001 -01 00 2.6 324 265 009 -024 -05 -03 2.6
026 251 231 -004 -001 -01 00 2.7 331 240 004 -027 -05 -03 2.7
027 247 230 -005 -001 -01 00 2.9 333 212 -001 -030 -05 -03 2.9
028 242 229 -006 -001 -01 00 3.3 330 181 -006 -033 -03 05 3.3
029 236 228 -007 -001 -01 00 3.9 323 150 -009 -028 -03 05 3.9
030 229 227 -008 -001 -01 00 4.4 313 124 -012 -023 -03 05 4.4
031 221 226 -009 -001 -01 00 4.9 300 103 -015 -018 -03 05 4.9
032 212 225 -010 -001 00 01 5.2 284 087 -018 -013 -03 05 5.2
033 202 224 -010 000 00 01 5.4 265 076 -021 -008 -05 03 5.4
034 192 224 -010 001 00 01 5.4 242 069 -026 -005 -05 03 5.4
035 182 225 -010 002 00 01 5.4 214 065 -031 -002 00 06 5.4
036 172 227 -010 003 00 01 5.4 183 066 -031 004 03 05 5.4
037 162 230 -010 004 00 01 5.3 153 072 -028 009 03 05 5.3
038 152 234 -010 005 -- -- 5.1 126 083 -025 014 -- -- 5.1

</pre>[/QUOTE]near as I can see, the ajax will still catch graf spee.

This is an example of the 'powered orbit' I was blathering about earlier.
Click to expand...
I'm still fairly sure graf spee can escape even with a "powered orbit". I'll look into it this weekend, or maybe during the week if I can squeeze it in, draw up the graphs showing the interecept or the escape.
 
Fly, go ahead and run it out, assuming you don't change your tactic. It looks like it is going to be close. I don't think I can do anything now that would make a difference.

As for checking out alternatives, and again assuming you retain the "powered orbit" tactic, try backing up to turn 27 and changing Graf Spee to the 180 course. If the end results are as close as I think, that might actually do it.
 
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