the ORBIT of a Satellite

The factors that determine the satellite orbit are only two things :
1.Distance : r0

when The satellite started to run  , the Distance between the satellite and the center of the earth 

2.Speed ​​(including size and direction): v0 and θ0
when The satellite started to run  , the instant speed of the satellite

the equation of a Satellite orbit is shown as below : 

That is a polar equation with r and @ as the variables .

Other symbols : p , e , @  , are constants :

we can see that 

Each formula is the combination of these symbols  whose values are known .

Therefore, 

we can know that the orbit  has already been decided at The moment of formal operation

by the equation , the orbit of a satellite will be a Conic curve , 
may be an ellipse , an hyperbola or a parabola

if e is less than 1 , the orbit is an ellipse
in this case , 
the satellite runs under the influence of the earth's gravity

its turns around the Earth at an appropriate speed
and
if e equals to 1 , the orbit will be a parabola
and be  an hyperbola if e is larger than 1
in these two cases , the satellite will get away from the earth .

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The biggest tumbler on earthr

The biggest tumbler on earth is the moon