<slide>
<title>Vis-viva equation</title>

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<bullet><image filename="vis-viva.png"/></bullet>
<!-- <bullet>~v²~ = GM(2/r - 1/a)</bullet> -->
<bullet>*G* = 6.67 x 10¯¹¹</bullet>
<bullet>*M* = 2.6457897×10¹⁹ kg</bullet>
<!--<bullet>~µ~ = ~GM~: 1.76×10⁹ kg</bullet>-->
<bullet>*a* = (360 + 1058) / 2 = 709 km</bullet>
<bullet>*r* = 998+60 = 1058 km</bullet>
<bullet><image filename="vis-viva2.png"/></bullet>
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Size = 47 000 000 m
Mass 	2.6457897×10¹⁹ kg
G
Gravitational parameter
1.7658000×10⁹ m³/s²

G = 6.67 x 10¯¹¹
M = 2.64 x 10¹⁹ kg
µ = GM = 1760880000 (1.76 x 10⁹)kg

r = 60+998 = 1058000m

a = (360 + 1058) / 2 = 709000m

v² = µ(2/r - 1/a)
v² = 845
v  = 29


CIRCLE:

a = 1058000

v² = µ(1/a) = 1664, 
v  = 40.79
</slide>
