re(flight): turn rates confirm AV_* are rate caps and _Min/_Max mean at min/max speed

turn_law.py pins the speed regime with a throttle, holds a stick axis and
differentiates the craft's own forward vector over 1-second windows.

  slow + nose down  ~87 deg/s   (AV_PitchMinus_Min 75)
  fast + nose down  ~54         (AV_PitchMinus_Max 40)
  slow + nose up   ~175         (AV_PitchPlus_Min 150)
  fast + nose up   ~136         (AV_PitchPlus_Max 70)

So agility falls with speed (_Min/_Max are at minimum/maximum speed, not rate
bounds) and pitching up is ~2x pitching down, exactly as the field pairs say.

Control mapping measured: LX is roll (forward vector barely moves, 3-5 deg/s), LY is
pitch (+1 = nose down per vgamepad's LY: -1 = up), and the right stick does not steer
at all.

The ~1.2x overshoot seen in the speed law appears again here (1.16-1.35x), and a
unit scale cannot explain both m/s and deg/s — a TIME BASE can: if the guest's
simulated second is shorter than the wall-clock second the probe measures against,
every rate reads high by the same factor. So the definition numbers are
self-consistent and these measurements confirm the shape of the law, not a scale.

Recorded 🟡: no yaw input found (AV_Yaw_* exists but neither stick yaws), which with
roll on LX and MaximumBank_Normal points at a bank-to-turn model.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NptfmpjdpNCKEez6d2xvA9
This commit is contained in:
2026-08-13 15:30:00 +00:00
parent 1efc3f567d
commit 86fcfcc8b0
3 changed files with 606 additions and 0 deletions

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fast_up,2.489,0.11750941653421512,0.8768299049337306,-0.4662197495169991
fast_up,2.54,0.3387106575899876,0.8307569097795758,-0.4417216853273653
fast_up,2.59,0.3387106575899876,0.8307569097795758,-0.4417216853273653
fast_up,2.641,0.3387106575899876,0.8307569097795758,-0.4417216853273653
fast_up,2.692,0.3387106575899876,0.8307569097795758,-0.4417216853273653
fast_up,2.742,0.6725788995836892,0.6534039040384242,-0.3474204398450665
fast_up,2.792,0.7637787136075531,0.569923763588385,-0.30303296905987287
fast_up,2.842,0.8420851195741881,0.4762135465397938,-0.25320606130919715
fast_up,2.892,0.9059572778692444,0.3738133295921229,-0.19875866093078726
fast_up,2.944,0.9320625853533521,0.319890207637745,-0.1700870131488755
fast_up,2.994,0.9320625853533521,0.319890207637745,-0.1700870131488755
fast_up,3.044,0.9320625853533521,0.319890207637745,-0.1700870131488755
fast_up,3.094,0.9995868168775316,-0.025378198850278165,0.013496019700636873
fast_up,3.145,0.9737572335070697,-0.2009484251765163,0.1068484001365312
fast_up,3.195,0.9343593809559442,-0.3146215313212742,0.16728968661779853
fast_up,3.246,0.8432265639718923,-0.47463486271897926,0.2523701822797059
fast_up,3.296,0.8245274704190423,-0.4995901221141962,0.2656391545128427
fast_up,3.346,0.8245274704190423,-0.4995901221141962,0.2656391545128427
fast_up,3.396,0.8245274704190423,-0.4995901221141962,0.2656391545128427
fast_up,3.446,0.8245274704190423,-0.4995901221141962,0.2656391545128427
fast_up,3.496,0.560559310620797,-0.7311805980446815,0.38877781870801065
fast_up,3.546,0.3167082774612079,-0.8374953553597589,0.44530595857049304
fast_up,3.598,0.18394843471814523,-0.8678802595262894,0.46146162190297557
fast_up,3.648,-0.0905296924928885,-0.8793215748514271,0.46754458907996027
fast_up,3.698,-0.15903691458437788,-0.8717096400615488,0.46349710163413776
fast_up,3.749,-0.2604128505118988,-0.8524833003013681,0.45327405616862193
fast_up,3.799,-0.2604128505118988,-0.8524833003013681,0.45327405616862193
fast_up,3.849,-0.484042556809481,-0.7726183440706232,0.4108085899818897
fast_up,3.9,-0.6263636201595283,-0.6882851615010694,0.3659674190390409
fast_up,3.95,-0.7271348616896539,-0.6061389762113589,0.32228936444290796
fast_up,4.0,-0.8335559354602529,-0.48777154516490967,0.25935192728495254
fast_up,4.05,-0.9152025193193423,-0.3558231540800539,0.18919363533705685
fast_up,4.101,-0.9152025193193423,-0.3558231540800539,0.18919363533705685
fast_up,4.151,-0.9152025193193423,-0.3558231540800539,0.18919363533705685
fast_up,4.201,-0.9152025193193423,-0.3558231540800539,0.18919363533705685
fast_up,4.251,-0.9999653794523607,-0.007347658786176997,0.0039053562011961474
fast_up,4.301,-0.9982722741623554,0.05187931833534815,-0.02758628223916066
fast_up,4.357,-0.9473362244513863,0.28275503128264595,-0.1503451699474996
fast_up,4.407,-0.8965970539364008,0.39101017281360906,-0.20790567002570753
fast_up,4.457,-0.8965970539364008,0.39101017281360906,-0.20790567002570753
fast_up,4.507,-0.8965970539364008,0.39101017281360906,-0.20790567002570753
fast_up,4.557,-0.7494544996760373,0.5845598923018723,-0.31081776851937554
fast_up,4.608,-0.6811810712116455,0.6464184443030486,-0.3437085147152765
fast_up,4.69,-0.5260437628224534,0.750908769275774,-0.39926680280275867
fast_up,4.74,-0.3515317530989304,0.8265937289313039,-0.4395090827896901
fast_up,4.79,-0.25921047650601087,0.8527686685878513,-0.45342642925223303
fast_up,4.841,-0.25921047650601087,0.8527686685878513,-0.45342642925223303
fast_up,4.891,-0.25921047650601087,0.8527686685878513,-0.45342642925223303
fast_up,4.941,0.029032410272141315,0.8825750679575304,-0.4692742999286777
fast_up,4.991,0.12468465513391183,0.87605725215134,-0.4658083594432166
fast_up,5.042,0.312103840700244,0.8388425601545466,-0.4460205733971502
fast_up,5.092,0.4601026048132257,0.7839390238700766,-0.41682754215348583
fast_up,5.142,0.5962937494197067,0.7088008659157505,-0.3768754394757906
fast_up,5.192,0.5962937494197067,0.7088008659157505,-0.3768754394757906
fast_up,5.242,0.5962937494197067,0.7088008659157505,-0.3768754394757906
fast_up,5.293,0.5962937494197067,0.7088008659157505,-0.3768754394757906
fast_up,5.343,0.8713288736836602,0.43326257799090145,-0.2303682538846054
fast_up,5.395,0.9274080640937924,0.33026837460772646,-0.17560490707202564
fast_up,5.445,0.9924918410489542,0.1079949995732303,-0.05741973108989097
fast_up,5.495,0.9983717965936116,0.050365731961324836,-0.026777767092200574
fast_up,5.546,0.9999629087894729,-0.007603720153555103,0.004045304082834395
fast_up,5.596,0.9999629087894729,-0.007603720153555103,0.004045304082834395
fast_up,5.649,0.9999629087894729,-0.007603720153555103,0.004045304082834395
fast_up,5.699,0.9319867371924816,-0.3200607761380319,0.17018173014525656
fast_up,5.749,0.8597874640302131,-0.4508780240427165,0.2397384494231805
fast_up,5.8,0.7409676384604902,-0.5929343161341589,0.3152710825699075
fast_up,5.85,0.534386630982945,-0.7463020032608736,0.39681765151704723
fast_up,5.9,0.4450856110633426,-0.7906682356171415,0.42040758795536404
fast_up,5.954,0.35082136337402364,-0.8268289378421346,0.4396342554297136
1 phase t fx fy fz
2 slow_down 0.0 -0.9999999999979217 -5.364418989006872e-07 -1.9669536293025197e-06
3 slow_down 0.055 -0.9999931441638505 -0.003270491953406279 0.0017365217186252632
4 slow_down 0.106 -0.9998075678152163 -0.01732181066707776 0.00920772581236021
5 slow_down 0.156 -0.9984570236826587 -0.04903096590809946 0.026067915929080705
6 slow_down 0.206 -0.9959234059606977 -0.07964543509725727 0.04234588678740652
7 slow_down 0.256 -0.9949974062198822 -0.0882080473352674 0.046898848610662965
8 slow_down 0.308 -0.9949974062198822 -0.0882080473352674 0.046898848610662965
9 slow_down 0.358 -0.9949974062198822 -0.0882080473352674 0.046898848610662965
10 slow_down 0.408 -0.9742287842225655 -0.19916037362801364 0.10589344440791315
11 slow_down 0.48 -0.9465655723613469 -0.2847614479418032 0.15140850367903233
12 slow_down 0.53 -0.8914624347306995 -0.4000593644081642 0.2127139685430863
13 slow_down 0.58 -0.8716372552912262 -0.4327785818328047 0.23011126503316684
14 slow_down 0.63 -0.8154459106136834 -0.5110798322402205 0.27174504952386647
15 slow_down 0.68 -0.8154459106136834 -0.5110798322402205 0.27174504952386647
16 slow_down 0.73 -0.8154459106136834 -0.5110798322402205 0.27174504952386647
17 slow_down 0.782 -0.8154459106136834 -0.5110798322402205 0.27174504952386647
18 slow_down 0.832 -0.6283422527343198 -0.6868777132566759 0.3652191403254217
19 slow_down 0.882 -0.5946716694847226 -0.7098621875663405 0.3774404326192183
20 slow_down 0.932 -0.4876749892181813 -0.7708354120554387 0.40986079638380735
21 slow_down 0.982 -0.41202774678544607 -0.8045162551187721 0.427769483634089
22 slow_down 1.034 -0.33356518582907857 -0.8323782939339731 0.44258405144150914
23 slow_down 1.084 -0.33356518582907857 -0.8323782939339731 0.44258405144150914
24 slow_down 1.134 -0.33356518582907857 -0.8323782939339731 0.44258405144150914
25 slow_down 1.184 -0.33356518582907857 -0.8323782939339731 0.44258405144150914
26 slow_down 1.234 -0.12829325207912554 -0.875650566375165 0.4655930917419358
27 slow_down 1.284 0.01999288837244423 -0.8827703771186131 0.4693791065827161
28 slow_down 1.334 0.14647633503077626 -0.8734233776363055 0.46440961087636784
29 slow_down 1.384 0.2294525395929343 -0.8593894358220113 0.4569478413034447
30 slow_down 1.437 0.24987913985400062 -0.8549368999870867 0.454580369688678
31 slow_down 1.487 0.24987913985400062 -0.8549368999870867 0.454580369688678
32 slow_down 1.537 0.24987913985400062 -0.8549368999870867 0.454580369688678
33 slow_down 1.587 0.46631421415396884 -0.7810712750954569 0.41530557051251255
34 slow_down 1.637 0.5748418033213702 -0.7224835385509736 0.38415418477103586
35 slow_down 1.687 0.6089893568992764 -0.700333722219096 0.3723770142022088
36 slow_down 1.737 0.704521028047038 -0.6266117341975116 0.33317841407499954
37 slow_down 1.788 0.7193167990693469 -0.6133666704535744 0.3261359688125875
38 slow_down 1.838 0.7193167990693469 -0.6133666704535744 0.3261359688125875
39 slow_down 1.89 0.7193167990693469 -0.6133666704535744 0.3261359688125875
40 slow_down 1.94 0.849066896281655 -0.46644693570280316 0.2480174627160401
41 slow_down 1.99 0.8810436144109307 -0.41766387138482547 0.222078904999019
42 slow_down 2.04 0.9484328657603022 -0.2798737472266781 0.1488145986084635
43 slow_down 2.09 0.9610413097510078 -0.24404963350980377 0.12976662643298606
44 slow_down 2.141 0.9939216935112383 -0.09720198191703029 0.051685993065371263
45 slow_down 2.191 0.9976931470309339 -0.05993776893335393 0.031872373975016126
46 slow_down 2.241 0.9976931470309339 -0.05993776893335393 0.031872373975016126
47 slow_down 2.292 0.9976931470309339 -0.05993776893335393 0.031872373975016126
48 slow_down 2.342 0.9896563458191195 0.12666726325652128 -0.06734776610289538
49 slow_down 2.392 0.9688328898337262 0.21872041518359675 -0.11629364367129405
50 slow_down 2.443 0.9442856108918024 0.29060279698667507 -0.1545143988313609
51 slow_down 2.493 0.8947993986761507 0.3942088393731278 -0.20960302261391808
52 slow_down 2.543 0.8309037105646212 0.49128695070578754 -0.26122051189780854
53 slow_down 2.593 0.8065858741842986 0.5219257641234278 -0.2775116651791901
54 slow_down 2.643 0.7536882578227702 0.5803018854525123 -0.308551019703933
55 slow_down 2.693 0.7536882578227702 0.5803018854525123 -0.308551019703933
56 slow_down 2.743 0.7536882578227702 0.5803018854525123 -0.308551019703933
57 slow_down 2.793 0.7536882578227702 0.5803018854525123 -0.308551019703933
58 slow_down 2.844 0.5464292801028885 0.7394732111173732 -0.3931849588755906
59 slow_down 2.894 0.4542920662458938 0.7865761484815041 -0.4182304163807783
60 slow_down 2.944 0.33724237713970884 0.8312222802162891 -0.4419695690126091
61 slow_down 2.995 0.2969454116172929 0.8431213928515923 -0.4482964860841846
62 slow_down 3.045 0.19416339979478872 0.8661439018126901 -0.46053807175174793
63 slow_down 3.095 0.19416339979478872 0.8661439018126901 -0.46053807175174793
64 slow_down 3.145 0.19416339979478872 0.8661439018126901 -0.46053807175174793
65 slow_down 3.195 0.19416339979478872 0.8661439018126901 -0.46053807175174793
66 slow_down 3.245 -0.08056448227304423 0.8800766715066983 -0.4679470231401919
67 slow_down 3.295 -0.20674220671814517 0.8638708932840495 -0.4593307519619497
68 slow_down 3.345 -0.36917998882389613 0.8205732127784867 -0.4363092232836481
69 slow_down 3.395 -0.40826537853398315 0.8060092833540977 -0.4285655327222631
70 slow_down 3.446 -0.4274712950772437 0.7982089720099239 -0.4244181062205577
71 slow_down 3.496 -0.4274712950772437 0.7982089720099239 -0.4244181062205577
72 slow_down 3.546 -0.4274712950772437 0.7982089720099239 -0.4244181062205577
73 slow_down 3.596 -0.6082231710880547 0.7008524983325218 -0.3726531225317367
74 slow_down 3.647 -0.6890657017287396 0.6398696963671466 -0.34022820337546267
75 slow_down 3.698 -0.762143003366288 0.5716265197273306 -0.3039426991461283
76 slow_down 3.748 -0.8382680494161782 0.4814331278329663 -0.2559859776490942
77 slow_down 3.798 -0.8713041042377916 0.43329936687430565 -0.23039274425360168
78 slow_down 3.849 -0.8913381334740916 0.4002732381357301 -0.21283248494358056
79 slow_down 3.899 -0.8913381334740916 0.4002732381357301 -0.21283248494358056
80 slow_down 3.954 -0.8913381334740916 0.4002732381357301 -0.21283248494358056
81 slow_down 4.004 -0.9668278549473198 0.2255289063838423 -0.11991918646852343
82 slow_down 4.054 -0.988482045003392 0.1336223546024849 -0.07105148173261426
83 slow_down 4.104 -0.9989645669952419 0.04016845004198468 -0.021360934184474142
84 slow_down 4.154 -0.9966424267396048 -0.0722944195265059 0.038436832958986006
85 slow_down 4.204 -0.9861088546477905 -0.1466589830214944 0.07797736520506265
86 slow_down 4.254 -0.9823755362869574 -0.16503976362875877 0.08775068162855647
87 slow_down 4.304 -0.9823755362869574 -0.16503976362875877 0.08775068162855647
88 slow_down 4.354 -0.9823755362869574 -0.16503976362875877 0.08775068162855647
89 slow_down 4.405 -0.9209647726441181 -0.34403770228142444 0.18292606964969713
90 slow_down 4.455 -0.8743898972057189 -0.42842805892694735 0.22779751093605147
91 slow_down 4.505 -0.8299912670076615 -0.4924878804154499 0.26185909251907646
92 slow_down 4.555 -0.7523228900523915 -0.5816815188929995 0.3092844640158157
93 slow_down 4.605 -0.6625352693826098 -0.6613550972756903 0.3516481936987236
94 slow_down 4.659 -0.6302746771466385 -0.6854961772366975 0.36448432386259716
95 slow_down 4.709 -0.6302746771466385 -0.6854961772366975 0.36448432386259716
96 slow_down 4.78 -0.6302746771466385 -0.6854961772366975 0.36448432386259716
97 slow_down 4.831 -0.4525978574008272 -0.7873373046911097 0.4186348625209313
98 slow_down 4.881 -0.41426647045914855 -0.8036195683143964 0.4272925003735763
99 slow_down 4.931 -0.274715147969851 -0.8489764429252736 0.45140955554114326
100 slow_down 4.981 -0.23364090031412207 -0.8585099251579216 0.4564785187779883
101 slow_down 5.031 -0.04480010659454584 -0.8820604850600307 0.4690013338411531
102 slow_down 5.083 -0.023683103154920795 -0.8826993337726754 0.46934102397108685
103 slow_down 5.133 -0.023683103154920795 -0.8826993337726754 0.46934102397108685
104 slow_down 5.183 -0.023683103154920795 -0.8826993337726754 0.46934102397108685
105 slow_down 5.233 0.1453592269195889 -0.8735689453585949 0.46448680589916846
106 slow_down 5.286 0.22874062128632777 -0.8595374327749778 0.4570263994914793
107 slow_down 5.336 0.35043482719640695 -0.8269562640048762 0.43970304673827526
108 slow_down 5.386 0.4284669431857837 -0.7977927831777877 0.42419659794306436
109 slow_down 5.437 0.521489921000824 -0.7533803887235785 0.40058239125211675
110 slow_down 5.488 0.521489921000824 -0.7533803887235785 0.40058239125211675
111 slow_down 5.538 0.521489921000824 -0.7533803887235785 0.40058239125211675
112 slow_down 5.588 0.521489921000824 -0.7533803887235785 0.40058239125211675
113 slow_down 5.64 0.7340500600490995 -0.5996042690723751 0.3188184904488701
114 slow_down 5.69 0.7890549608342304 -0.5424133153670134 0.28840954230998667
115 slow_down 5.74 0.8607130204977756 -0.4494988131338322 0.23900609476930043
116 slow_down 5.79 0.8815363856269739 -0.41685239315276573 0.2216476553869751
117 slow_down 5.84 0.918368956231027 -0.34940329267058484 0.185784281633532
118 slow_down 5.89 0.918368956231027 -0.34940329267058484 0.185784281633532
119 slow_down 5.941 0.918368956231027 -0.34940329267058484 0.185784281633532
120 slow_down 5.991 0.918368956231027 -0.34940329267058484 0.185784281633532
121 fast_down 0.0 0.9443584250101847 0.2904182906726782 -0.15441626065619846
122 fast_down 0.051 0.9436765232896925 0.2921411966275288 -0.15533235537039236
123 fast_down 0.101 0.9413498555259846 0.2979356698970741 -0.15841333941366673
124 fast_down 0.151 0.9359648416782657 0.3108808857007239 -0.16529637034161546
125 fast_down 0.201 0.9359648416782657 0.3108808857007239 -0.16529637034161546
126 fast_down 0.251 0.9359648416782657 0.3108808857007239 -0.16529637034161546
127 fast_down 0.302 0.9359648416782657 0.3108808857007239 -0.16529637034161546
128 fast_down 0.352 0.9069682473230593 0.37189736355510283 -0.19773959979857733
129 fast_down 0.402 0.8846064485621233 0.41175300754402716 -0.21893124934726846
130 fast_down 0.452 0.8540047786366772 0.45936747444995185 -0.24424856495626104
131 fast_down 0.502 0.8282129470457974 0.49481636271239404 -0.2630970952667319
132 fast_down 0.553 0.7845202085163289 0.5475191291668909 -0.2911199849303122
133 fast_down 0.605 0.7845202085163289 0.5475191291668909 -0.2911199849303122
134 fast_down 0.655 0.7845202085163289 0.5475191291668909 -0.2911199849303122
135 fast_down 0.705 0.7845202085163289 0.5475191291668909 -0.2911199849303122
136 fast_down 0.755 0.6764926071616988 0.6502464180323504 -0.34574173640401795
137 fast_down 0.805 0.658050205681294 0.6648368510249885 -0.3534994884324219
138 fast_down 0.855 0.6002218773366298 0.7062112257134413 -0.37549887169312585
139 fast_down 0.905 0.549340559411765 0.7377897883828349 -0.3922896607650788
140 fast_down 0.955 0.49584529498589064 0.766761273134124 -0.407694240163008
141 fast_down 1.005 0.48512337186675963 0.7720896571445868 -0.410527557417258
142 fast_down 1.056 0.48512337186675963 0.7720896571445868 -0.410527557417258
143 fast_down 1.106 0.48512337186675963 0.7720896571445868 -0.410527557417258
144 fast_down 1.159 0.3622432608277545 0.8229807007440995 -0.4375872326606736
145 fast_down 1.209 0.32689929716992755 0.8344373883855656 -0.4436790443260581
146 fast_down 1.259 0.25427817274032954 0.853925751514516 -0.45404121153063653
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149 fast_down 1.409 0.16760580400920777 0.8704570196341962 -0.462831363924248
150 fast_down 1.46 0.16760580400920777 0.8704570196341962 -0.462831363924248
151 fast_down 1.51 0.16760580400920777 0.8704570196341962 -0.462831363924248
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361 fast_up 0.251 0.6911707438303796 -0.6380976912929389 0.3392850412847302
362 fast_up 0.301 0.6755171522407909 -0.6510353167218098 0.34616411340493514
363 fast_up 0.352 0.657506379493412 -0.6652549837006473 0.353724705932335
364 fast_up 0.402 0.657506379493412 -0.6652549837006473 0.353724705932335
365 fast_up 0.452 0.657506379493412 -0.6652549837006473 0.353724705932335
366 fast_up 0.502 0.5133602385345539 -0.7577210603341615 0.40288963776426395
367 fast_up 0.552 0.43935111799574095 -0.7931645569110259 0.42173520220160454
368 fast_up 0.602 0.3981844308412644 -0.8099317212166465 0.43065039881864586
369 fast_up 0.652 0.2686492856912895 -0.8504879652558426 0.4522143100926115
370 fast_up 0.702 0.24641792365539766 -0.8557199718773686 0.4549961940846956
371 fast_up 0.752 0.24641792365539766 -0.8557199718773686 0.4549961940846956
372 fast_up 0.803 0.24641792365539766 -0.8557199718773686 0.4549961940846956
373 fast_up 0.853 0.02057293045563342 -0.8827601620250191 0.4693732532580332
374 fast_up 0.903 -0.07422876549978216 -0.8805113066433957 0.468177241272489
375 fast_up 0.953 -0.21516179433137206 -0.8622672317493021 0.4584764152183838
376 fast_up 1.003 -0.2615988381204001 -0.8522001917503188 0.4531234722178677
377 fast_up 1.053 -0.3303372482550225 -0.8333813503635584 0.4431171710524334
378 fast_up 1.104 -0.3303372482550225 -0.8333813503635584 0.4431171710524334
379 fast_up 1.154 -0.3303372482550225 -0.8333813503635584 0.4431171710524334
380 fast_up 1.204 -0.5438623258853152 -0.7409471258505598 0.39396843423859473
381 fast_up 1.254 -0.6459092452751304 -0.6740549185668148 0.3584009118626741
382 fast_up 1.305 -0.7188503244392938 -0.6137944456673244 0.32635960154630667
383 fast_up 1.355 -0.8147838758289627 -0.5119023505212549 0.2721823271631494
384 fast_up 1.405 -0.8290800352983082 -0.4936828909103429 0.26249475859940974
385 fast_up 1.455 -0.8290800352983082 -0.4936828909103429 0.26249475859940974
386 fast_up 1.505 -0.8290800352983082 -0.4936828909103429 0.26249475859940974
387 fast_up 1.555 -0.9420068922851647 -0.2963122038659241 0.15755028634491672
388 fast_up 1.606 -0.9590164600201834 -0.2501842140742355 0.1330236386452166
389 fast_up 1.656 -0.9924115082243777 -0.10856893811461031 0.05772507271958899
390 fast_up 1.706 -0.9999445866713543 0.009294093939699495 -0.004944027153488152
391 fast_up 1.757 -0.9958913420586946 0.079955429596009 -0.04251545707915836
392 fast_up 1.807 -0.9958913420586946 0.079955429596009 -0.04251545707915836
393 fast_up 1.858 -0.9958913420586946 0.079955429596009 -0.04251545707915836
394 fast_up 1.908 -0.9958913420586946 0.079955429596009 -0.04251545707915836
395 fast_up 1.959 -0.9150231402146553 0.35618113505987486 -0.1893875706036974
396 fast_up 2.009 -0.8604916235298544 0.4498294242203849 -0.23918121778373866
397 fast_up 2.059 -0.7569777758441463 0.5769527254909279 -0.3067738571434005
398 fast_up 2.11 -0.6531020844533343 0.6686284965867637 -0.35551877704958706
399 fast_up 2.16 -0.5843458023963333 0.7165152052928653 -0.38098024070272796
400 fast_up 2.21 -0.5843458023963333 0.7165152052928653 -0.38098024070272796
401 fast_up 2.287 -0.5843458023963333 0.7165152052928653 -0.38098024070272796
402 fast_up 2.337 -0.29759691186014037 0.8429418991475414 -0.44820199989830933
403 fast_up 2.387 -0.17288959048961605 0.8696507226880431 -0.46240329802943353
404 fast_up 2.439 0.0528426867196658 0.8817134989386609 -0.46881654860893207
405 fast_up 2.489 0.11750941653421512 0.8768299049337306 -0.4662197495169991
406 fast_up 2.54 0.3387106575899876 0.8307569097795758 -0.4417216853273653
407 fast_up 2.59 0.3387106575899876 0.8307569097795758 -0.4417216853273653
408 fast_up 2.641 0.3387106575899876 0.8307569097795758 -0.4417216853273653
409 fast_up 2.692 0.3387106575899876 0.8307569097795758 -0.4417216853273653
410 fast_up 2.742 0.6725788995836892 0.6534039040384242 -0.3474204398450665
411 fast_up 2.792 0.7637787136075531 0.569923763588385 -0.30303296905987287
412 fast_up 2.842 0.8420851195741881 0.4762135465397938 -0.25320606130919715
413 fast_up 2.892 0.9059572778692444 0.3738133295921229 -0.19875866093078726
414 fast_up 2.944 0.9320625853533521 0.319890207637745 -0.1700870131488755
415 fast_up 2.994 0.9320625853533521 0.319890207637745 -0.1700870131488755
416 fast_up 3.044 0.9320625853533521 0.319890207637745 -0.1700870131488755
417 fast_up 3.094 0.9995868168775316 -0.025378198850278165 0.013496019700636873
418 fast_up 3.145 0.9737572335070697 -0.2009484251765163 0.1068484001365312
419 fast_up 3.195 0.9343593809559442 -0.3146215313212742 0.16728968661779853
420 fast_up 3.246 0.8432265639718923 -0.47463486271897926 0.2523701822797059
421 fast_up 3.296 0.8245274704190423 -0.4995901221141962 0.2656391545128427
422 fast_up 3.346 0.8245274704190423 -0.4995901221141962 0.2656391545128427
423 fast_up 3.396 0.8245274704190423 -0.4995901221141962 0.2656391545128427
424 fast_up 3.446 0.8245274704190423 -0.4995901221141962 0.2656391545128427
425 fast_up 3.496 0.560559310620797 -0.7311805980446815 0.38877781870801065
426 fast_up 3.546 0.3167082774612079 -0.8374953553597589 0.44530595857049304
427 fast_up 3.598 0.18394843471814523 -0.8678802595262894 0.46146162190297557
428 fast_up 3.648 -0.0905296924928885 -0.8793215748514271 0.46754458907996027
429 fast_up 3.698 -0.15903691458437788 -0.8717096400615488 0.46349710163413776
430 fast_up 3.749 -0.2604128505118988 -0.8524833003013681 0.45327405616862193
431 fast_up 3.799 -0.2604128505118988 -0.8524833003013681 0.45327405616862193
432 fast_up 3.849 -0.484042556809481 -0.7726183440706232 0.4108085899818897
433 fast_up 3.9 -0.6263636201595283 -0.6882851615010694 0.3659674190390409
434 fast_up 3.95 -0.7271348616896539 -0.6061389762113589 0.32228936444290796
435 fast_up 4.0 -0.8335559354602529 -0.48777154516490967 0.25935192728495254
436 fast_up 4.05 -0.9152025193193423 -0.3558231540800539 0.18919363533705685
437 fast_up 4.101 -0.9152025193193423 -0.3558231540800539 0.18919363533705685
438 fast_up 4.151 -0.9152025193193423 -0.3558231540800539 0.18919363533705685
439 fast_up 4.201 -0.9152025193193423 -0.3558231540800539 0.18919363533705685
440 fast_up 4.251 -0.9999653794523607 -0.007347658786176997 0.0039053562011961474
441 fast_up 4.301 -0.9982722741623554 0.05187931833534815 -0.02758628223916066
442 fast_up 4.357 -0.9473362244513863 0.28275503128264595 -0.1503451699474996
443 fast_up 4.407 -0.8965970539364008 0.39101017281360906 -0.20790567002570753
444 fast_up 4.457 -0.8965970539364008 0.39101017281360906 -0.20790567002570753
445 fast_up 4.507 -0.8965970539364008 0.39101017281360906 -0.20790567002570753
446 fast_up 4.557 -0.7494544996760373 0.5845598923018723 -0.31081776851937554
447 fast_up 4.608 -0.6811810712116455 0.6464184443030486 -0.3437085147152765
448 fast_up 4.69 -0.5260437628224534 0.750908769275774 -0.39926680280275867
449 fast_up 4.74 -0.3515317530989304 0.8265937289313039 -0.4395090827896901
450 fast_up 4.79 -0.25921047650601087 0.8527686685878513 -0.45342642925223303
451 fast_up 4.841 -0.25921047650601087 0.8527686685878513 -0.45342642925223303
452 fast_up 4.891 -0.25921047650601087 0.8527686685878513 -0.45342642925223303
453 fast_up 4.941 0.029032410272141315 0.8825750679575304 -0.4692742999286777
454 fast_up 4.991 0.12468465513391183 0.87605725215134 -0.4658083594432166
455 fast_up 5.042 0.312103840700244 0.8388425601545466 -0.4460205733971502
456 fast_up 5.092 0.4601026048132257 0.7839390238700766 -0.41682754215348583
457 fast_up 5.142 0.5962937494197067 0.7088008659157505 -0.3768754394757906
458 fast_up 5.192 0.5962937494197067 0.7088008659157505 -0.3768754394757906
459 fast_up 5.242 0.5962937494197067 0.7088008659157505 -0.3768754394757906
460 fast_up 5.293 0.5962937494197067 0.7088008659157505 -0.3768754394757906
461 fast_up 5.343 0.8713288736836602 0.43326257799090145 -0.2303682538846054
462 fast_up 5.395 0.9274080640937924 0.33026837460772646 -0.17560490707202564
463 fast_up 5.445 0.9924918410489542 0.1079949995732303 -0.05741973108989097
464 fast_up 5.495 0.9983717965936116 0.050365731961324836 -0.026777767092200574
465 fast_up 5.546 0.9999629087894729 -0.007603720153555103 0.004045304082834395
466 fast_up 5.596 0.9999629087894729 -0.007603720153555103 0.004045304082834395
467 fast_up 5.649 0.9999629087894729 -0.007603720153555103 0.004045304082834395
468 fast_up 5.699 0.9319867371924816 -0.3200607761380319 0.17018173014525656
469 fast_up 5.749 0.8597874640302131 -0.4508780240427165 0.2397384494231805
470 fast_up 5.8 0.7409676384604902 -0.5929343161341589 0.3152710825699075
471 fast_up 5.85 0.534386630982945 -0.7463020032608736 0.39681765151704723
472 fast_up 5.9 0.4450856110633426 -0.7906682356171415 0.42040758795536404
473 fast_up 5.954 0.35082136337402364 -0.8268289378421346 0.4396342554297136

View File

@@ -54,3 +54,49 @@ measured range rather than a pinned constant.
nobody is flying it — one earlier attempt ended at `GAME OVER` mid-probe. nobody is flying it — one earlier attempt ended at `GAME OVER` mid-probe.
Raw samples: [`captures/speed-law-throttle-phases.csv`](captures/speed-law-throttle-phases.csv). Raw samples: [`captures/speed-law-throttle-phases.csv`](captures/speed-law-throttle-phases.csv).
---
# Turn rates: `AV_*` are rate caps, and `_Min`/`_Max` mean *at minimum/maximum speed*
`tools/re-capture/turn_law.py` pins the speed regime with a throttle, holds a stick
axis, and differentiates the craft's **own forward vector** over 1-second windows.
**Control mapping, measured**`LX` is **roll** (the forward vector barely moves
under it: 35 °/s residual), `LY` is **pitch** (`vgamepad` documents `LY: -1 = up`,
so `+1` is nose down = the `PitchMinus` family), and the **right stick does not
steer at all** (0 °/s).
| phase | measured (1 s windows) | definition |
|---|---|---|
| slow + nose down | 85 · 96 · 82 → **~87** | `AV_PitchMinus_Min` **75** |
| fast + nose down | 55 · 45 · 63 → **~54** | `AV_PitchMinus_Max` **40** |
| slow + nose up | 181 · 164 · 181 → **~175** | `AV_PitchPlus_Min` **150** |
| fast + nose up | 103 · 130 · 175 → **~136** | `AV_PitchPlus_Max` **70** |
Two claims of the field names are confirmed:
* **Agility falls with speed** — every rate drops when the throttle goes from `LT`
to `RT`, so `_Min`/`_Max` are *at minimum / maximum speed*, not floor/ceiling of
the rate.
* **Pitching up is about twice as fast as pitching down**, exactly as the pair
150/75 (slow) and 70/40 (fast) says.
## The ~1.2× factor is a TIME BASE, not a unit scale
The speed law measured 1.21 / 1.28 / 1.32 × its definition values; the pitch rates
measure 1.16 / 1.35 / 1.17 / 1.94 × theirs. A **unit scale** would have to differ
between metres-per-second and degrees-per-second — it cannot explain both. A **time
base** does: if the guest's simulated second is shorter than the wall-clock second
this probe measures against, every rate reads high by the same factor. So the
definition numbers are self-consistent and a reimplementation should take them at
face value; these measurements confirm the **shape** of the law (which field governs
what, and how the regimes switch), not a scale correction.
🟡 **No yaw input was found.** `AV_Yaw_{Min,Max}` (45 / 25 °/s) exists, but neither
stick yaws the craft. With `MaximumBank_Normal` (60) and roll on `LX`, a
**bank-to-turn** model is the obvious reading — sustained turns come from rolling and
pitching — but the yaw fields may equally belong to the AI or to an input this probe
has not driven.
Raw samples: [`captures/turn-law-pitch-phases.csv`](captures/turn-law-pitch-phases.csv).

View File

@@ -0,0 +1,87 @@
#!/usr/bin/env python3
"""Measure the craft's TURN rates, and whether they depend on speed.
The unit definition carries `AA_Yaw_{Max,Min}`, `AA_PitchPlus_{Max,Min}`,
`AA_Roll_{Max,Min}` — pairs whose obvious reading is "rate at maximum speed" and
"rate at minimum speed", i.e. agility falling as the craft goes faster (for the
player: yaw 65°/s vs 120°/s, roll 475°/s vs 750°/s). That is a prediction, so
measure it: hold a throttle to pin the speed regime, hold a stick axis, and
differentiate the craft's own forward vector.
Same discipline as speed_law.py: lock onto the player object once, sample at
20 Hz, and differentiate over 1-second windows (the guest updates slower than the
sample rate).
Usage: turn_law.py <out.csv> [hold_s]
"""
import json, math, os, struct, subprocess, sys, time
sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
import gworld, entities2, speed_law
def fwd_at(fd, off, cfg):
"""The craft's forward row out of its rotation matrix (entities2 `self` bound
rot_delta / rot_stride / fwd_row and validated the row against motion)."""
at = off + cfg["rot_delta"] + cfg["fwd_row"] * cfg["rot_stride"]
v = struct.unpack(">3f", os.pread(fd, 12, at))
n = math.sqrt(sum(c * c for c in v)) or 1.0
s = cfg.get("fwd_sign", 1)
return tuple(s * c / n for c in v)
def pad(*a):
subprocess.run(["vgamepad", *a], capture_output=True)
def rate(seq, lo, hi):
"""Degrees per second between the first sample at/after `lo` and the last at/before `hi`."""
a = [s for s in seq if s[0] >= lo][0]
b = [s for s in seq if s[0] <= hi][-1]
dot = max(-1.0, min(1.0, sum(a[1 + i] * b[1 + i] for i in range(3))))
return math.degrees(math.acos(dot)) / (b[0] - a[0])
def main():
out_csv = sys.argv[1]
hold = float(sys.argv[2]) if len(sys.argv) > 2 else 6.0
cfg = json.load(open("/tmp/nav-live.json"))
w, off, nm = speed_law.find_player()
if not w:
sys.exit("player entity not found after retries")
print(f"# locked on {nm}")
rows = []
# (label, throttle, axis, value) — throttle pins the speed regime, so the
# Max/Min pair in the definition can be told apart.
# LX is ROLL (the forward vector barely moves under it) and the right stick
# does not steer at all — measured. LY is pitch, and `vgamepad` documents
# `LY: -1 = up`, so LY=+1 is nose DOWN = the `PitchMinus` family.
phases = [
("slow_down", ("LT", 1.0), ("LY", 1.0)), # AV_PitchMinus_Min 75 deg/s
("fast_down", ("RT", 1.0), ("LY", 1.0)), # AV_PitchMinus_Max 40
("slow_up", ("LT", 1.0), ("LY", -1.0)), # AV_PitchPlus_Min 150
("fast_up", ("RT", 1.0), ("LY", -1.0)), # AV_PitchPlus_Max 70
]
for label, (trig, tv), (axis, av) in phases:
pad("trig", "RT", "0.0"); pad("trig", "LT", "0.0")
pad("axis", "LX", "0.0"); pad("axis", "LY", "0.0"); pad("axis", "RX", "0.0")
pad("trig", trig, str(tv))
time.sleep(1.5) # let the speed settle before turning
pad("axis", axis, str(av))
seq, t0 = [], time.time()
while time.time() - t0 < hold:
f = fwd_at(w.fd, off, cfg)
seq.append((round(time.time() - t0, 3), *f))
time.sleep(0.05)
pad("axis", axis, "0.0")
for s in seq:
rows.append((label, *s))
try:
r = [rate(seq, t, t + 1.0) for t in (1.0, 2.0, 3.0) if seq[-1][0] > t + 1.0]
print(f"# {label:<11} turn rate per 1 s window: " + " ".join(f"{x:6.1f}" for x in r) + " deg/s")
except Exception as e:
print(f"# {label:<11} rate failed: {e}")
pad("trig", "RT", "0.0"); pad("trig", "LT", "0.0"); pad("reset")
with open(out_csv, "w") as f:
f.write("phase,t,fx,fy,fz\n")
for r in rows:
f.write(",".join(str(x) for x in r) + "\n")
print(f"# wrote {out_csv} ({len(rows)} samples)")
if __name__ == "__main__":
main()