TD 7 Planètes et satellites

M R
r
v T
E(r)Ep
Ec∆E
r0>
1
10
1011 mT
mS10−6
O R
r0∆→
V
→
V0
∆V∆V√kRg r0
k
R r0k

∆V
∆V1024
vLR
g
−→
V0θ0
V0√αRg (α > 0) α
A1
A1
a2
A2
S m
M R O →
r→
r
→
OS
r→ urG gL

→
Fr=−GMm
r2
→
ur.
S
v∞
b=OH O A
S O OA =a
EP(r)S
S
EP(r)r→∞ = 0
→
JS
S A
→
VA
→
OA
(a) (b)VAV∞G M a b
S A VA= 2V V
a
V
b/a VA= 2V
V VAV∞a= 2R R = 1740 gL= 1,62 −2
A S S1S2
S1a O
S2

→
V1S1
S S1S2
→
V2S2
V2
→
V2
∆E
S1S2∆E V
∆E Ec∞Ec∞
1
2mV 2
∞
S2
M12m M2m
M R
V∞A
2R
M0M1M2
M1M2
V0M0
V∞M0
V∞

ρ3G−11 2 −2
vLg
M R
vLg
vLvTvTq3kT
m
10−23 −1m
MT
24 RTRS 8MS 30
ρS
3−3 8
1/r2
α m q