Newtonian mechanics
Newtonian mechanics
Newtonian mechanics
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Ellipse<br />
Friktion, konstant<br />
Galileitransformationen<br />
Harmonisk<br />
oscillator<br />
4 FORMELSAMLING 17<br />
4 Formelsamling<br />
1. Storeakse 2a<br />
2. Lilleakse 2b<br />
3. d = 2ae<br />
4. r = a(1−e2 )<br />
1+e cos θ<br />
5. r + r ′ = 2a<br />
6. p = a(1 − e 2 )<br />
7. Perihelion : θ = 0. Her er rmin = p<br />
1+e = a(1 − e)<br />
8. Aphelion : θ = π. Her er rmax = p<br />
1−e = a(1 + e)<br />
9. rmax<br />
rmin<br />
= 1+e<br />
1−e<br />
10. e = rmax−rmin<br />
rmax+rmin<br />
11. b = a √ 1 − e 2<br />
12. Areal A = πab<br />
Ffr = −µN<br />
1. t ′ = t, m ′ = m, q ′ = q, F ′ = F (4.1, s. 85):<br />
2. r ′ (t) = r − ut<br />
3. v = v ′ + u<br />
4. m¨r ′ = F<br />
5. Newtons love invariante under Galileitransformationen<br />
1. m d2x dt2 = −kx<br />
2. ω =<br />
k<br />
m
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