เนื้อหาบทที่ 4 : หัวข้อ 4.7[.pdf]
เนื้อหาบทที่ 4 : หัวข้อ 4.7[.pdf]
เนื้อหาบทที่ 4 : หัวข้อ 4.7[.pdf]
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315 201 Physics of Matter<br />
4 39<br />
A θ<br />
0<br />
กก (Integral arbitrary constants) กก<br />
() θ + θ 0<br />
= θ ′ ≡ θ …<br />
1<br />
r<br />
GM<br />
= Acosθ +<br />
(E4.17_)<br />
2<br />
k<br />
ก (E4.17_) กก (conic section) ก (ellipse), <br />
(parabola) (hyperbola)<br />
( E4.17_ ก) กกก 2 a , กก<br />
2 b eccentricity ก e <br />
…<br />
2<br />
⎛ b ⎞<br />
e = 1−<br />
⎜ ⎟ ก P <br />
⎝ a ⎠<br />
⎛ b ⎞<br />
⎜ ⎟<br />
⎝ a ⎠<br />
E4.17_ : r + r′<br />
= 2a<br />
e = 1−<br />
< 1<br />
ก F P ˆ F ′ ก (cosine law) <br />
′<br />
2<br />
2<br />
2<br />
( 2ae) − 2r( 2ae) cos( π −θ<br />
) = r + ( 2ae) 2r( 2ae) cosθ<br />
2 2<br />
r = r +<br />
+<br />
2<br />
<br />
2 2 2<br />
r + r′<br />
= 2a<br />
⇒ r′<br />
= 2a<br />
− r ⇒ r′<br />
= r + 4a<br />
− 4ar<br />
ก…<br />
<br />
4a<br />
2<br />
2<br />
( 1−<br />
e ) = 4ar( 1+<br />
ecosθ<br />
)<br />
1<br />
=<br />
r<br />
( 1+<br />
ecosθ<br />
)<br />
a<br />
=<br />
ecosθ<br />
+<br />
1<br />
⇔ =<br />
r<br />
ecosθ<br />
2<br />
2<br />
2<br />
( 1−<br />
e ) a( 1−<br />
e ) a( 1−<br />
e )<br />
( 1+<br />
ecosθ<br />
)<br />
a<br />
2<br />
( 1−<br />
e )<br />
(E4.17_)<br />
... . <br />
e-mail: sompo_kh@kku.ac.th