```python
from math import *
#Semi-Major Axis
a = 10424.1
#Semi-Minor Axis
b = 9579.42
#Eccentricity
ecc = sqrt(1 - (b**2)/(a**2))
print(ecc)
```

    0.39433084466244295



```python
#Circumference
def ellipse_circum(acc=5):
    temp = []
    S_a = 2*pi*a
    S_b = 1
    for x in range(2, acc):
        S_n_a = 2/sqrt(pi)
        S_n_b = (ecc**(2*x-2) * x)/(4*x**2 - 8*x + 3)
        S_n_c = (gamma(0.5 + x))/(factorial(x))
        temp.append(-(S_n_a*S_n_b*S_n_c)/2)
    
    print(temp)
    
    return S_a*(S_b + sum(temp))
        
```


```python
ellipse_circum(10)
```

    [-0.03887420376304893, -0.0015112037182110469, -0.00011749368253842683, -1.1418683389674473e-05, -1.242898229428654e-06, -1.4495003708262662e-07, -1.7709425727750508e-08, -2.237429428868252e-09]





    62842.91149982586




```python
from sympy import *
```


```python
n, A, B, E = Symbol('n'),Symbol('A'),Symbol('B'),Symbol('E')
```


```python
#Circumference
def ellipse_circum_sympy(acc=5):
    temp = []
    S_a = 2*pi*A
    S_b = 1
    for x in range(2, acc):
        S_n_a = 2/sqrt(pi)
        S_n_b = (sqrt(1 - (B**2)/(A**2))**(2*x-2) * x)/(4*x**2 - 8*x + 3)
        S_n_c = (gamma(0.5 + x))/(factorial(x))
        temp.append(-(S_n_a*S_n_b*S_n_c)/2)
    
    print(temp)
    
    return S_a*(S_b + sum(temp))
```


```python
#N=3
factor(ellipse_circum_sympy(3))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi)]





$\displaystyle \frac{2.0 \sqrt{\pi} \left(- 0.443113462726379 A^{2} + 1.0 \sqrt{\pi} A^{2} + 0.443113462726379 B^{2}\right)}{A}$




```python
simplify(ellipse_circum_sympy(3))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi)]





$\displaystyle - 0.886226925452758 \sqrt{\pi} A + 2 \pi A + \frac{0.886226925452758 \sqrt{\pi} B^{2}}{A}$




```python
#N=4
factor(ellipse_circum_sympy(4))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi), -0.110778365681595*(1 - B**2/A**2)**2/sqrt(pi)]





$\displaystyle \frac{2.0 \sqrt{\pi} \left(- 0.553891828407974 A^{4} + 1.0 \sqrt{\pi} A^{4} + 0.664670194089569 A^{2} B^{2} - 0.110778365681595 B^{4}\right)}{A^{3}}$




```python
simplify(ellipse_circum_sympy(4))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi), -0.110778365681595*(1 - B**2/A**2)**2/sqrt(pi)]





$\displaystyle \frac{2 \pi A^{4} + 0.886226925452758 \sqrt{\pi} A^{2} \left(- A^{2} + B^{2}\right) - 0.22155673136319 \sqrt{\pi} \left(A^{2} - B^{2}\right)^{2}}{A^{3}}$




```python
#N=5
factor(ellipse_circum_sympy(5))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi), -0.110778365681595*(1 - B**2/A**2)**2/sqrt(pi), -0.0553891828407974*(1 - B**2/A**2)**3/sqrt(pi)]





$\displaystyle \frac{2.0 \sqrt{\pi} \left(- 0.609281011248771 A^{6} + 1.0 \sqrt{\pi} A^{6} + 0.830837742611961 A^{4} B^{2} - 0.276945914203987 A^{2} B^{4} + 0.0553891828407974 B^{6}\right)}{A^{5}}$




```python
simplify(ellipse_circum_sympy(5))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi), -0.110778365681595*(1 - B**2/A**2)**2/sqrt(pi), -0.0553891828407974*(1 - B**2/A**2)**3/sqrt(pi)]





$\displaystyle \frac{1.0 \left(- 1.21856202249754 \pi A^{6} + 2.0 \pi^{\frac{3}{2}} A^{6} + 1.66167548522392 \pi A^{4} B^{2} - 0.553891828407974 \pi A^{2} B^{4} + 0.110778365681595 \pi B^{6}\right)}{\sqrt{\pi} A^{5}}$




```python
simplify(ellipse_circum_sympy(50))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi), -0.110778365681595*(1 - B**2/A**2)**2/sqrt(pi), -0.0553891828407974*(1 - B**2/A**2)**3/sqrt(pi), -0.0346182392754984*(1 - B**2/A**2)**4/sqrt(pi), -0.0242327674928489*(1 - B**2/A**2)**5/sqrt(pi), -0.0181745756196366*(1 - B**2/A**2)**6/sqrt(pi), -0.0142800237011431*(1 - B**2/A**2)**7/sqrt(pi), -0.0116025192571787*(1 - B**2/A**2)**8/sqrt(pi), -0.00966876604764896*(1 - B**2/A**2)**9/sqrt(pi), -0.00821845114050161*(1 - B**2/A**2)**10/sqrt(pi), -0.00709775325770594*(1 - B**2/A**2)**11/sqrt(pi), -0.0062105341004927*(1 - B**2/A**2)**12/sqrt(pi), -0.00549393401197431*(1 - B**2/A**2)**13/sqrt(pi), -0.00490529822497706*(1 - B**2/A**2)**14/sqrt(pi), -0.00441476840247935*(1 - B**2/A**2)**15/sqrt(pi), -0.00400088386474691*(1 - B**2/A**2)**16/sqrt(pi), -0.00364786470021042*(1 - B**2/A**2)**17/sqrt(pi), -0.00334387597519289*(1 - B**2/A**2)**18/sqrt(pi), -0.00307988576662503*(1 - B**2/A**2)**19/sqrt(pi), -0.00284889433412815*(1 - B**2/A**2)**20/sqrt(pi), -0.00264540188169043*(1 - B**2/A**2)**21/sqrt(pi), -0.00246503357157517*(1 - B**2/A**2)**22/sqrt(pi), -0.0023042705125594*(1 - B**2/A**2)**23/sqrt(pi), -0.00216025360552443*(1 - B**2/A**2)**24/sqrt(pi), -0.00203063838919297*(1 - B**2/A**2)**25/sqrt(pi), -0.00191348617443184*(1 - B**2/A**2)**26/sqrt(pi), -0.0018071813869634*(1 - B**2/A**2)**27/sqrt(pi), -0.00171036809837608*(1 - B**2/A**2)**28/sqrt(pi), -0.00162190078294283*(1 - B**2/A**2)**29/sqrt(pi), -0.00154080574379569*(1 - B**2/A**2)**30/sqrt(pi), -0.00146625062716041*(1 - B**2/A**2)**31/sqrt(pi), -0.00139752012901227*(1 - B**2/A**2)**32/sqrt(pi), -0.00133399648678444*(1 - B**2/A**2)**33/sqrt(pi), -0.00127514370060277*(1 - B**2/A**2)**34/sqrt(pi), -0.00122049468486265*(1 - B**2/A**2)**35/sqrt(pi), -0.00116964073966004*(1 - B**2/A**2)**36/sqrt(pi), -0.00112222287183599*(1 - B**2/A**2)**37/sqrt(pi), -0.0010779246005793*(1 - B**2/A**2)**38/sqrt(pi), -0.00103646596209548*(1 - B**2/A**2)**39/sqrt(pi), -0.000997598488516904*(1 - B**2/A**2)**40/sqrt(pi), -0.000961100982839456*(1 - B**2/A**2)**41/sqrt(pi), -0.000926775947738047*(1 - B**2/A**2)**42/sqrt(pi), -0.000894446554212301*(1 - B**2/A**2)**43/sqrt(pi), -0.000863954058045972*(1 - B**2/A**2)**44/sqrt(pi), -0.00083515558944444*(1 - B**2/A**2)**45/sqrt(pi), -0.000807922255006034*(1 - B**2/A**2)**46/sqrt(pi), -0.000782137502186693*(1 - B**2/A**2)**47/sqrt(pi), -0.000757695705243359*(1 - B**2/A**2)**48/sqrt(pi)]





$\displaystyle - 1.62849166690928 \sqrt{\pi} A + 2.0 \pi A + \frac{6.91018483181943 \sqrt{\pi} B^{2}}{A} - \frac{54.1297811825855 \sqrt{\pi} B^{4}}{A^{3}} + \frac{497.993986879787 \sqrt{\pi} B^{6}}{A^{5}} - \frac{4001.73739456972 \sqrt{\pi} B^{8}}{A^{7}} + \frac{27389.6692783883 \sqrt{\pi} B^{10}}{A^{9}} - \frac{160603.060768731 \sqrt{\pi} B^{12}}{A^{11}} + \frac{815369.385441251 \sqrt{\pi} B^{14}}{A^{13}} - \frac{3621599.02033489 \sqrt{\pi} B^{16}}{A^{15}} + \frac{14202349.0993525 \sqrt{\pi} B^{18}}{A^{17}} - \frac{49558723.4361617 \sqrt{\pi} B^{20}}{A^{19}} + \frac{154897828.229042 \sqrt{\pi} B^{22}}{A^{21}} - \frac{436071059.905673 \sqrt{\pi} B^{24}}{A^{23}} + \frac{1110974884.92891 \sqrt{\pi} B^{26}}{A^{25}} - \frac{2571701122.52064 \sqrt{\pi} B^{28}}{A^{27}} + \frac{5427176162.00906 \sqrt{\pi} B^{30}}{A^{29}} - \frac{10471386264.1989 \sqrt{\pi} B^{32}}{A^{31}} + \frac{18516248082.1486 \sqrt{\pi} B^{34}}{A^{33}} - \frac{30066859981.0127 \sqrt{\pi} B^{36}}{A^{35}} + \frac{44907827852.1526 \sqrt{\pi} B^{38}}{A^{37}} - \frac{61777050365.8459 \sqrt{\pi} B^{40}}{A^{39}} + \frac{78351380951.8045 \sqrt{\pi} B^{42}}{A^{41}} - \frac{91686024010.1983 \sqrt{\pi} B^{44}}{A^{43}} + \frac{99038623037.1032 \sqrt{\pi} B^{46}}{A^{45}} - \frac{98775222443.9193 \sqrt{\pi} B^{48}}{A^{47}} + \frac{90953837483.0539 \sqrt{\pi} B^{50}}{A^{49}} - \frac{77303902596.8339 \sqrt{\pi} B^{52}}{A^{51}} + \frac{60611445641.962 \sqrt{\pi} B^{54}}{A^{53}} - \frac{43805544804.8726 \sqrt{\pi} B^{56}}{A^{55}} + \frac{29150695272.45 \sqrt{\pi} B^{58}}{A^{57}} - \frac{17836272870.0923 \sqrt{\pi} B^{60}}{A^{59}} + \frac{10016986667.3918 \sqrt{\pi} B^{62}}{A^{61}} - \frac{5152586891.90741 \sqrt{\pi} B^{64}}{A^{63}} + \frac{2421355518.43481 \sqrt{\pi} B^{66}}{A^{65}} - \frac{1036357168.77697 \sqrt{\pi} B^{68}}{A^{67}} + \frac{402527132.220621 \sqrt{\pi} B^{70}}{A^{69}} - \frac{141262456.025781 \sqrt{\pi} B^{72}}{A^{71}} + \frac{44559649.2165737 \sqrt{\pi} B^{74}}{A^{73}} - \frac{12554876.6038276 \sqrt{\pi} B^{76}}{A^{75}} + \frac{3135583.56738952 \sqrt{\pi} B^{78}}{A^{77}} - \frac{687645.383607891 \sqrt{\pi} B^{80}}{A^{79}} + \frac{130861.753218966 \sqrt{\pi} B^{82}}{A^{81}} - \frac{21284.7429934463 \sqrt{\pi} B^{84}}{A^{83}} + \frac{2900.08262947641 \sqrt{\pi} B^{86}}{A^{85}} - \frac{321.978870827449 \sqrt{\pi} B^{88}}{A^{87}} + \frac{27.9771902741453 \sqrt{\pi} B^{90}}{A^{89}} - \frac{1.78449828074458 \sqrt{\pi} B^{92}}{A^{91}} + \frac{0.0743030627077358 \sqrt{\pi} B^{94}}{A^{93}} - \frac{0.00151539141048672 \sqrt{\pi} B^{96}}{A^{95}}$




```python
factor(simplify(ellipse_circum_sympy(100)))
```

    [-0.664670194089569*(2/3 - 2*B**2/(3*A**2))/sqrt(pi), -0.110778365681595*(1 - B**2/A**2)**2/sqrt(pi), -0.0553891828407974*(1 - B**2/A**2)**3/sqrt(pi), -0.0346182392754984*(1 - B**2/A**2)**4/sqrt(pi), -0.0242327674928489*(1 - B**2/A**2)**5/sqrt(pi), -0.0181745756196366*(1 - B**2/A**2)**6/sqrt(pi), -0.0142800237011431*(1 - B**2/A**2)**7/sqrt(pi), -0.0116025192571787*(1 - B**2/A**2)**8/sqrt(pi), -0.00966876604764896*(1 - B**2/A**2)**9/sqrt(pi), -0.00821845114050161*(1 - B**2/A**2)**10/sqrt(pi), -0.00709775325770594*(1 - B**2/A**2)**11/sqrt(pi), -0.0062105341004927*(1 - B**2/A**2)**12/sqrt(pi), -0.00549393401197431*(1 - B**2/A**2)**13/sqrt(pi), -0.00490529822497706*(1 - B**2/A**2)**14/sqrt(pi), -0.00441476840247935*(1 - B**2/A**2)**15/sqrt(pi), -0.00400088386474691*(1 - B**2/A**2)**16/sqrt(pi), -0.00364786470021042*(1 - B**2/A**2)**17/sqrt(pi), -0.00334387597519289*(1 - B**2/A**2)**18/sqrt(pi), -0.00307988576662503*(1 - B**2/A**2)**19/sqrt(pi), -0.00284889433412815*(1 - B**2/A**2)**20/sqrt(pi), -0.00264540188169043*(1 - B**2/A**2)**21/sqrt(pi), -0.00246503357157517*(1 - B**2/A**2)**22/sqrt(pi), -0.0023042705125594*(1 - B**2/A**2)**23/sqrt(pi), -0.00216025360552443*(1 - B**2/A**2)**24/sqrt(pi), -0.00203063838919297*(1 - B**2/A**2)**25/sqrt(pi), -0.00191348617443184*(1 - B**2/A**2)**26/sqrt(pi), -0.0018071813869634*(1 - B**2/A**2)**27/sqrt(pi), -0.00171036809837608*(1 - B**2/A**2)**28/sqrt(pi), -0.00162190078294283*(1 - B**2/A**2)**29/sqrt(pi), -0.00154080574379569*(1 - B**2/A**2)**30/sqrt(pi), -0.00146625062716041*(1 - B**2/A**2)**31/sqrt(pi), -0.00139752012901227*(1 - B**2/A**2)**32/sqrt(pi), -0.00133399648678444*(1 - B**2/A**2)**33/sqrt(pi), -0.00127514370060277*(1 - B**2/A**2)**34/sqrt(pi), -0.00122049468486265*(1 - B**2/A**2)**35/sqrt(pi), -0.00116964073966004*(1 - B**2/A**2)**36/sqrt(pi), -0.00112222287183599*(1 - B**2/A**2)**37/sqrt(pi), -0.0010779246005793*(1 - B**2/A**2)**38/sqrt(pi), -0.00103646596209548*(1 - B**2/A**2)**39/sqrt(pi), -0.000997598488516904*(1 - B**2/A**2)**40/sqrt(pi), -0.000961100982839456*(1 - B**2/A**2)**41/sqrt(pi), -0.000926775947738047*(1 - B**2/A**2)**42/sqrt(pi), -0.000894446554212301*(1 - B**2/A**2)**43/sqrt(pi), -0.000863954058045972*(1 - B**2/A**2)**44/sqrt(pi), -0.00083515558944444*(1 - B**2/A**2)**45/sqrt(pi), -0.000807922255006034*(1 - B**2/A**2)**46/sqrt(pi), -0.000782137502186693*(1 - B**2/A**2)**47/sqrt(pi), -0.000757695705243359*(1 - B**2/A**2)**48/sqrt(pi), -0.000734500938756317*(1 - B**2/A**2)**49/sqrt(pi), -0.000712465910593628*(1 - B**2/A**2)**50/sqrt(pi), -0.000691511030870286*(1 - B**2/A**2)**51/sqrt(pi), -0.000671563597287489*(1 - B**2/A**2)**52/sqrt(pi), -0.000652557080383126*(1 - B**2/A**2)**53/sqrt(pi), -0.000634430494816928*(1 - B**2/A**2)**54/sqrt(pi), -0.000617127844958285*(1 - B**2/A**2)**55/sqrt(pi), -0.000600597634825473*(1 - B**2/A**2)**56/sqrt(pi), -0.000584792433909014*(1 - B**2/A**2)**57/sqrt(pi), -0.000569668491652746*(1 - B**2/A**2)**58/sqrt(pi), -0.000555185394407337*(1 - B**2/A**2)**59/sqrt(pi), -0.000541305759547154*(1 - B**2/A**2)**60/sqrt(pi), -0.00052799496218124*(1 - B**2/A**2)**61/sqrt(pi), -0.000515220890515565*(1 - B**2/A**2)**62/sqrt(pi), -0.000502953726455671*(1 - B**2/A**2)**63/sqrt(pi), -0.000491165748491866*(1 - B**2/A**2)**64/sqrt(pi), -0.0004798311542959*(1 - B**2/A**2)**65/sqrt(pi), -0.000468925900789175*(1 - B**2/A**2)**66/sqrt(pi), -0.00045842755972673*(1 - B**2/A**2)**67/sqrt(pi), -0.0004483151870857*(1 - B**2/A**2)**68/sqrt(pi), -0.00043856920475775*(1 - B**2/A**2)**69/sqrt(pi), -0.000429171293227226*(1 - B**2/A**2)**70/sqrt(pi), -0.000420104294074539*(1 - B**2/A**2)**71/sqrt(pi), -0.000411352121281319*(1 - B**2/A**2)**72/sqrt(pi), -0.000402899680433073*(1 - B**2/A**2)**73/sqrt(pi), -0.000394732795018889*(1 - B**2/A**2)**74/sqrt(pi), -0.000386838139118511*(1 - B**2/A**2)**75/sqrt(pi), -0.000379203175846435*(1 - B**2/A**2)**76/sqrt(pi), -0.000371816100992284*(1 - B**2/A**2)**77/sqrt(pi), -0.000364665791357817*(1 - B**2/A**2)**78/sqrt(pi), -0.000357741757344694*(1 - B**2/A**2)**79/sqrt(pi), -0.000351034099394481*(1 - B**2/A**2)**80/sqrt(pi), -0.000344533467924213*(1 - B**2/A**2)**81/sqrt(pi), -0.000338231026437794*(1 - B**2/A**2)**82/sqrt(pi), -0.000332118417526268*(1 - B**2/A**2)**83/sqrt(pi), -0.000326187731499013*(1 - B**2/A**2)**84/sqrt(pi), -0.000320431477413736*(1 - B**2/A**2)**85/sqrt(pi), -0.000314842556296055*(1 - B**2/A**2)**86/sqrt(pi), -0.000309414236359916*(1 - B**2/A**2)**87/sqrt(pi), -0.000304140130058326*(1 - B**2/A**2)**88/sqrt(pi), -0.000299014172810152*(1 - B**2/A**2)**89/sqrt(pi), -0.000294030603263316*(1 - B**2/A**2)**90/sqrt(pi), -0.000289183944967767*(1 - B**2/A**2)**91/sqrt(pi), -0.000284468989343293*(1 - B**2/A**2)**92/sqrt(pi), -0.000279880779837756*(1 - B**2/A**2)**93/sqrt(pi), -0.00027541459718077*(1 - B**2/A**2)**94/sqrt(pi), -0.000271065945646337*(1 - B**2/A**2)**95/sqrt(pi), -0.000266830540245613*(1 - B**2/A**2)**96/sqrt(pi), -0.000262704294777898*(1 - B**2/A**2)**97/sqrt(pi), -0.000258683310674154*(1 - B**2/A**2)**98/sqrt(pi)]





$\displaystyle \frac{2.65151575361855 \cdot 10^{25} \left(- 6.30419546805028 \cdot 10^{-26} \sqrt{\pi} A^{196} + 7.54285543003312 \cdot 10^{-26} \pi A^{196} + 3.72876386665758 \cdot 10^{-25} \sqrt{\pi} A^{194} B^{2} - 6.02816825109642 \cdot 10^{-24} \sqrt{\pi} A^{192} B^{4} + 1.15740830421051 \cdot 10^{-22} \sqrt{\pi} A^{190} B^{6} - 1.96346051607141 \cdot 10^{-21} \sqrt{\pi} A^{188} B^{8} + 2.87101559905552 \cdot 10^{-20} \sqrt{\pi} A^{186} B^{10} - 3.64096978243859 \cdot 10^{-19} \sqrt{\pi} A^{184} B^{12} + 4.04907848332731 \cdot 10^{-18} \sqrt{\pi} A^{182} B^{14} - 3.99171653814684 \cdot 10^{-17} \sqrt{\pi} A^{180} B^{16} + 3.52210282777663 \cdot 10^{-16} \sqrt{\pi} A^{178} B^{18} - 2.80470609390844 \cdot 10^{-15} \sqrt{\pi} A^{176} B^{20} + 2.03007298225754 \cdot 10^{-14} \sqrt{\pi} A^{174} B^{22} - 1.34382005021178 \cdot 10^{-13} \sqrt{\pi} A^{172} B^{24} + 8.1786955671351 \cdot 10^{-13} \sqrt{\pi} A^{170} B^{26} - 4.59781166141854 \cdot 10^{-12} \sqrt{\pi} A^{168} B^{28} + 2.3972038731258 \cdot 10^{-11} \sqrt{\pi} A^{166} B^{30} - 1.16332050859149 \cdot 10^{-10} \sqrt{\pi} A^{164} B^{32} + 5.27123125283347 \cdot 10^{-10} \sqrt{\pi} A^{162} B^{34} - 2.23650811727363 \cdot 10^{-9} \sqrt{\pi} A^{160} B^{36} + 8.90785594362186 \cdot 10^{-9} \sqrt{\pi} A^{158} B^{38} - 3.33816191323163 \cdot 10^{-8} \sqrt{\pi} A^{156} B^{40} + 1.17940633450065 \cdot 10^{-7} \sqrt{\pi} A^{154} B^{42} - 3.93592579071729 \cdot 10^{-7} \sqrt{\pi} A^{152} B^{44} + 1.24276381488542 \cdot 10^{-6} \sqrt{\pi} A^{150} B^{46} - 3.71837577592047 \cdot 10^{-6} \sqrt{\pi} A^{148} B^{48} + 1.05571517948175 \cdot 10^{-5} \sqrt{\pi} A^{146} B^{50} - 2.84788325566079 \cdot 10^{-5} \sqrt{\pi} A^{144} B^{52} + 7.30777590131826 \cdot 10^{-5} \sqrt{\pi} A^{142} B^{54} - 0.000178565978679614 \sqrt{\pi} A^{140} B^{56} + 0.000415897772484281 \sqrt{\pi} A^{138} B^{58} - 0.000924138948689647 \sqrt{\pi} A^{136} B^{60} + 0.00196067977902848 \sqrt{\pi} A^{134} B^{62} - 0.003974850325838 \sqrt{\pi} A^{132} B^{64} + 0.00770509447777828 \sqrt{\pi} A^{130} B^{66} - 0.0142906164041322 \sqrt{\pi} A^{128} B^{68} + 0.0253739805966539 \sqrt{\pi} A^{126} B^{70} - 0.0431536360147317 \sqrt{\pi} A^{124} B^{72} + 0.0703303612502218 \sqrt{\pi} A^{122} B^{74} - 0.109888104788504 \sqrt{\pi} A^{120} B^{76} + 0.164667489693064 \sqrt{\pi} A^{118} B^{78} - 0.236735571416325 \sqrt{\pi} A^{116} B^{80} + 0.326625229819212 \sqrt{\pi} A^{114} B^{82} - 0.43259572176572 \sqrt{\pi} A^{112} B^{84} + 0.55012446368456 \sqrt{\pi} A^{110} B^{86} - 0.671847405361891 \sqrt{\pi} A^{108} B^{88} + 0.788099653031252 \sqrt{\pi} A^{106} B^{90} - 0.888071204813286 \sqrt{\pi} A^{104} B^{92} + 0.961416824794434 \sqrt{\pi} A^{102} B^{94} - 1.0 \sqrt{\pi} A^{100} B^{96} + 0.999368819692825 \sqrt{\pi} A^{98} B^{98} - 0.959595959595959 \sqrt{\pi} A^{96} B^{100} + 0.885264997087944 \sqrt{\pi} A^{94} B^{102} - 0.784606598427273 \sqrt{\pi} A^{92} B^{104} + 0.668008277331252 \sqrt{\pi} A^{90} B^{106} - 0.546268451088641 \sqrt{\pi} A^{88} B^{108} + 0.428996141405391 \sqrt{\pi} A^{86} B^{110} - 0.323472476635629 \sqrt{\pi} A^{84} B^{112} + 0.234129589516426 \sqrt{\pi} A^{82} B^{114} - 0.162627044712084 \sqrt{\pi} A^{80} B^{116} + 0.108370912020221 \sqrt{\pi} A^{78} B^{118} - 0.0692572089003179 \sqrt{\pi} A^{76} B^{120} + 0.0424307138121173 \sqrt{\pi} A^{74} B^{122} - 0.0249098224150077 \sqrt{\pi} A^{72} B^{124} + 0.0140064372893529 \sqrt{\pi} A^{70} B^{126} - 0.00753914408721937 \sqrt{\pi} A^{68} B^{128} + 0.00388241194616735 \sqrt{\pi} A^{66} B^{130} - 0.00191156924067018 \sqrt{\pi} A^{64} B^{132} + 0.000899259146772462 \sqrt{\pi} A^{62} B^{134} - 0.000403882947945846 \sqrt{\pi} A^{60} B^{136} + 0.000173037759354774 \sqrt{\pi} A^{58} B^{138} - 7.06556030746676 \cdot 10^{-5} \sqrt{\pi} A^{56} B^{140} + 2.74689448772956 \cdot 10^{-5} \sqrt{\pi} A^{54} B^{142} - 1.01567864362728 \cdot 10^{-5} \sqrt{\pi} A^{52} B^{144} + 3.56758922721418 \cdot 10^{-6} \sqrt{\pi} A^{50} B^{146} - 1.18886844536233 \cdot 10^{-6} \sqrt{\pi} A^{48} B^{148} + 3.75331353488886 \cdot 10^{-7} \sqrt{\pi} A^{46} B^{150} - 1.12082654967446 \cdot 10^{-7} \sqrt{\pi} A^{44} B^{152} + 3.16050063493639 \cdot 10^{-8} \sqrt{\pi} A^{42} B^{154} - 8.39924610426022 \cdot 10^{-9} \sqrt{\pi} A^{40} B^{156} + 2.09930363002553 \cdot 10^{-9} \sqrt{\pi} A^{38} B^{158} - 4.92313107575956 \cdot 10^{-10} \sqrt{\pi} A^{36} B^{160} + 1.08043870399692 \cdot 10^{-10} \sqrt{\pi} A^{34} B^{162} - 2.2124500470145 \cdot 10^{-11} \sqrt{\pi} A^{32} B^{164} + 4.21326741337263 \cdot 10^{-12} \sqrt{\pi} A^{30} B^{166} - 7.4335877160659 \cdot 10^{-13} \sqrt{\pi} A^{28} B^{168} + 1.20986620815608 \cdot 10^{-13} \sqrt{\pi} A^{26} B^{170} - 1.80747726051877 \cdot 10^{-14} \sqrt{\pi} A^{24} B^{172} + 2.46425044089065 \cdot 10^{-15} \sqrt{\pi} A^{22} B^{174} - 3.04510947338631 \cdot 10^{-16} \sqrt{\pi} A^{20} B^{176} + 3.38281062554817 \cdot 10^{-17} \sqrt{\pi} A^{18} B^{178} - 3.34501385878227 \cdot 10^{-18} \sqrt{\pi} A^{16} B^{180} + 2.90817791620194 \cdot 10^{-19} \sqrt{\pi} A^{14} B^{182} - 2.18856107141118 \cdot 10^{-20} \sqrt{\pi} A^{12} B^{184} + 1.39671029143242 \cdot 10^{-21} \sqrt{\pi} A^{10} B^{186} - 7.34985219919777 \cdot 10^{-23} \sqrt{\pi} A^{8} B^{188} + 3.06192673071564 \cdot 10^{-24} \sqrt{\pi} A^{6} B^{190} - 9.46832709596296 \cdot 10^{-26} \sqrt{\pi} A^{4} B^{192} + 1.93200200344952 \cdot 10^{-27} \sqrt{\pi} A^{2} B^{194} - 1.95121081457749 \cdot 10^{-29} \sqrt{\pi} B^{196}\right)}{A^{195}}$




```python

```

c522b891040d98d6423bcaa6c85ec07b0ff9f627
ipynb
Jupyter Notebook
Math/Ellipse Perimeter.ipynb
AlephEleven/awesome-projects
871c9cd6ef12ad7b0ee9f1bf4b296e2d1ff78493
MIT
Math/Ellipse Perimeter.ipynb
AlephEleven/awesome-projects
871c9cd6ef12ad7b0ee9f1bf4b296e2d1ff78493
MIT
Math/Ellipse Perimeter.ipynb
AlephEleven/awesome-projects
871c9cd6ef12ad7b0ee9f1bf4b296e2d1ff78493
MIT
Qwen/Qwen-72B
1. YES
2. YES