<p> data </p>

5b746eaf-d1a8-4b1f-813b-072b62ef0522 3 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

m 189 :

V 17 :

p 1.42 :

I.xG 6.73 :

g 9.8 :

h.G 0.53 :

I.zG 36.4 :

ω 0.215 :

b.G 0.703 :

t x 501 ω t * π 2 / + sin - (* : t y 100 ω t * sin * : 21 sys

curvatura traiettoria

t c t x t diff t y t 2 diff * (t y t diff t x t 2 diff * (- (abs t x t diff (2^t y t diff (2^+ (32 /^/ :

x 0 > ( x 9 < ( & x c not defined if

raggio di curvatura

t R.c 1 t c / :

x 0 > ( x 9 < ( & x R.c not defined if

t α b.G t R.c / atan :

t Δ p t R.c / atan :

t F.sf b.G p t Δ cos * / m * V 2^t R.c / * :

t ψ'' m V 2^* b.G * t R.c / t α cos * t F.sf p * t Δ cos * - I.zG m b.G 2^* + / eval :

t ψ'' i.e: the RHS is the 2nd derivative ≡

If you want the 1rst derivative: simply integrate

t 0.1 12 0.25 range :

data t t ψ'' vectorize augment :

data 0.1 0.000009151368981 - 0.25 0.000009226641063 - 0.4 0.000009368119489 - 0.55 0.000009578904537 - 0.7 0.000009863675876 - 0.85 0.000010228868399 - 1 0.000010682918122 - 1.15 0.000011236591235 - 1.3 0.000011903414144 - 1.45 0.000012700228345 - 1.6 0.000013647901404 - 1.75 0.000014772235188 - 1.9 0.000016105124905 - 2.05 0.000017686038818 - 2.2 0.000019563909774 - 2.35 0.000021799557131 - 2.5 0.000024468793295 - 2.65 0.000027666415527 - 2.8 0.000031511342813 - 2.95 0.000036153233373 - 3.1 0.000041781013735 - 3.25 0.000048633868134 - 3.4 0.000057015378692 - 3.55 0.000067311671051 - 3.7 0.000080014597658 - 3.85 0.000095751160442 - 4 0.000115320493971 - 4.15 0.000139739718431 - 4.3 0.0001702996961 - 4.45 0.000208630963728 - 4.6 0.00025677853671 - 4.75 0.000317281413299 - 4.9 0.000393247840589 - 5.05 0.000488410062886 - 5.2 0.000607131842632 - 5.35 0.000754328645111 - 5.5 0.000935245601899 - 5.65 0.001155026491465 - 5.8 0.001418006247333 - 5.95 0.001726682654327 - 6.1 0.002080385123565 - 6.25 0.002473770686421 - 6.4 0.002895433640785 - 6.55 0.00332707710212 - 6.7 0.003743783127103 - 6.85000000000001 0.004115830551175 - 7.00000000000001 0.004412173717429 - 7.15000000000001 0.004605144578174 - 7.30000000000001 0.004675361417537 - 7.45000000000001 0.00461550895408 - 7.60000000000001 0.004431831465073 - 7.75000000000001 0.004142856066756 - 7.90000000000001 0.003775759859338 - 8.05000000000001 0.003361501381614 - 8.20000000000001 0.002930057601228 - 8.35000000000001 0.002506822434782 - 8.50000000000001 0.002110653319793 - 8.65000000000001 0.001753490475599 - 8.80000000000001 0.001441117104496 - 8.95000000000001 0.001174523050391 - 9.10000000000001 0.000951412532181 - 9.25000000000001 0.000767555920796 - 9.40000000000001 0.000617844216927 - 9.55000000000001 0.000497021233025 - 9.70000000000001 0.000400134460518 - 9.85000000000001 0.000322771330022 - 10 0.000261148238659 - 10.15 0.000212108372526 - 10.3 0.000173069606747 - 10.45 0.000141950168798 - 10.6 0.000117089065145 - 10.75 0.000097170695569 - 10.9 0.000081158130752 - 11.05 0.000068236533161 - 11.2 0.000057766539801 - 11.35 0.000049246612847 - 11.5 0.000042283058954 - 11.65 0.000036566390874 - 11.8 0.000031852817364 - 11.95 0.000027949814888 - 802 mat :

data Σ Finite differences Cumul Integration vx data 1 col : vy data 2 col : Y 1 el 0 : i 2 vx rows range Δx i el vx i el vx i 1 - el - : Y i el Y i 1 - el 12 / vy i 1 - el vy i el + (Δx i el * (* + : 21 line for vx Y augment 61 line :

x ψ'' data Σ 2 1 sys