6
1
2
(gh)
FT/S = m . gh
T
OST S
T u
h R
xm G M
F / ²
m . gh
RT T h
uOSm G M
² .
gh =
R h
² G MT T
3 h=0
g0 2
T T
R GM
4 g0
T
T GM
R g0. 2 .
gh
²2
0 R h
g R g
T T
h
II 1 FT/S = m.aG uos
gh
FT/S
FT/S =m.gh
aG = gh aG
gh aG =an
aG = an + at
at=0 at =dv/dt =0 v=cte
2
h R
v
T
² an =
²2
0 R h
g R g
T T
h
aG =an
R h v
T
² =
²2
0 R h
g R
T T
h R
R v g
T T
0.2
²
3 S = v t 2π(RT+h) =v.T
v h T 2(RT )
2 0
3 2
2 2 2
2
. ) (
4 ) (
4
T T T
R g
h R v
h
T R
3 2 2 0
2 2
0
0 ( )
4 2
h R g R w T
T T
T
4
a v=7458 m.s-1
T = 6024 s w0 =10-3 rad/s
b
t
T t
t
t
sat t
2 2
T t
sat
2
T sat
t
2
s T rad
T 0,73.10 /
10 . 6 , 8
28 , 6
2 4
4 0
s 10 6775
. 927 , 0
28 , 6 10
. 073 , 0 10
28 , 6
3
3 3
T`= t =
III 1
2 2
2
Terre
S T
T
2 2 0 2 3 2
0
3 2
2 2
4 . ) .
. ( ) (
4
T T
T T
T Terre
R g h T
R R g
h T R
TS
RT + h =4,2 .107 m→h =35730 km