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- きよあつ めいこ
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1 Ver. 2b/ Update
2 ( ) CCD
3
4
5 1 1.1 ( ) F (=( )/( ) ) δ D δ = 116 D[mm] D = 100mm 1.2 ( 2 ) 5mm 7mm (BC150 ) 6 7mm M D[mm] M = log D = 100mm M = mm ( α) ( ) F6 F F8 5
6 1672 F 12 F3 F10 ( ) F12 1: (a) (b) (c) (d) (e) (f) ( ) ( ) ( F2 ) 2 F12 ED 2 3 F6 F8 6
7 λ/8 (λ 500nm) ( ) mm, 1330 mm 14 θ 20 ( 2/3) mm 159 mm mm 1070 mm cm F cm F m 15 m F2 λ/ ( 0.07 ) (F12.2) ( 2 F12.6) 30 ( ) 20 cm ( 22.8 t) m 2m
8 1: F F6 8 F6 8 F f o f e m m = f o /f e D[mm] D/2 2D F F (= f o /D) F/2 <f e [mm] < 2F 2D D/2 D/5 (AFOV: Apparent Field of View) (FOV: Field of view) ( )/( ) f o = 1000mm, f e = 20mm, AFOV = ( 3 ) ( ) ( 15 mm) 9 8
9 2.2 2 ( MH) 2 (K) (Er) (O) f e f e (80 ) 0.71f e ( ) : (1843 ) ( ) ( [mm]) ( ) 10 42, mm, = 60 9
10 2: (a) (b) (c) (d) (e) (f). ( 1989) 3.2 7, 8 ( ) ( ) = 60 ( ) ( ) mm 30 mm 40 mm =( )/( ). ( ) 7mm 7 10
11 5mm 7mm 2.5 mm 30 cm ( ) 10 mm 20 mm. AFOV = ( [ ]) ( ) kg 3.3 2:
12 (go-to mount) 3:. EM200 12
13 (1 ) 1 (go-to mount) 4.3 (a) ( ) ( ) ( ) W 2 5 W (b) 1( ) ( 4 ) (c) 2( )
14 3: (a) ( ) ( ) ( ) (b) ( ) ( ) ( ) (c) ( ) ( ) ( ) ( ) cm 1 20 cm
15 ( ) +1 (a) 1 f o θ θf o f o /100 4 F8 ASA100 1/60 (b) 1 (0.8 ) F ( ) (1.2 ) F ( ) f m s m d m B m B =(d s m )/f m (9.3 ) F m B s m f m m B f = m B f o F m B 15
16 6.2 ( ) f c m B = f c /f e (9.4 ) 6.3 CCD CCD CCD ( ) LRGB [ ] ( ) (10 ) [ ] CCD ( 2002) 6.4 Philips webcam ToUcam Pro RegiStax ( 2 ) ( ) CCD 6.5 d l = F d d =20µm F = mm 1 (4 ) CCD 16
17 6.6 4 (10 ) ( ) ( ) ( ) ( 1/5) 4: ( f o = 1000mm, F8, ASA400 ) 10 9mm 1/ mm 1/250 9mm 1/ mm 1/1000 ( ) mm 1/ mm 1/ mm 1/ mm 1/250 ASA32 F22 D4 ( 1 1) 6.7 ASA400 20µm ASA100 10µm 20µm ( ) 17
18 5: ( f o = 1000mm ) ( CCD) ( d ) 9.6 d A = F [mm] ( rad) 10 5 f o 10 5 f o d > F [mm]. d =0.02 mm f o 2000mm, D > 120mm, F < 17 7 ( ) 7.1 ( ) 50 % 7.2 ( ) ( ) 47. (28 ) 18
19 4 ( ) 0 ( ) ( ) ( ) ( ) 4: ( ) S: E: A: I: V E : V W : B: C: Q E : Q W : 2 1 ( 1610 ) 10 ( 1655 ) A B C A B (1684 ) (1781 )
20 (1) ( 8 ) (a) (b) ( ) (c) (2) (dwarf planet) (a) (b) ( ) (c) (d) (3) ( (trans-neptunian object ) ) small solar system bodies 2003UB313 (trans- Neptunian object TNO) (plutonian object) 7.3 (a) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 13 ( ) α UMi W ( α) ( α) ( α) ( α) ( α) ( α) ( α) ( α) ( β) W(5 ) ( 5 ) 3 20
21 (1.5 ) (30 ) (30 ) ( 6 ) ( ) (b) NGC (New General Catalogue), IC (Index Catalogue) M57 HII ( ) ( ) ( ) M42 IC434 ( ) M31 ( ) h χ M13 ( ) (Hg Na 2 λ=556 nm 600 nm ) ( ) O III ( 500 nm ) ( 20 cm ) (c) ( ζ) ( 80g) ( ) ( γ) (4.4 ) ( α) (19.4 ) ( ɛ) (2.9 ) α (4.7 ) ( β) (34 ) ɛ 1, ɛ 2 ( 2.6, ) ( γ) (9.8 ) ( θ 1 ) (13 )4 10 ( β) 2.9 ( o)
22 (8 13 ) (11 18 ),, 7.4 (a) 5cm (b) (c) ( ) ( ) Hα (= 656 nm) 10 mm 20 mm ( ) 15 cm (a) ( α) (RA: right ascension) ( ) (360 = 24h) (DEC: declination) (2h35m49s, ) ( ) ( 3s/, 20 / )
23 BC : ( ) (11.3 ) ( 4.38 ) 2 α (0.3 ) ± ( 4.31 ) (b) 23
24 (18h00 m, 66.6 ) ( ) 4 6: Υ (c) ( ) (1950 : 12h49m, ) (1950 : 17h42m, ) (d)
25 8.2 7 (a) ( Ω) ( i) (b) ( a) (1 AU = km = 500 ) ( e) e =0 0 <e<1 e =1 e >1 ( ) 1 e a ( e 1) ( ω) (c) ( T ) P ( ) P =(a [AU]) 3/2 (1772 ) a n =(3 2 n 1 +4)/10 n =0( ) n = d 05h 48m 45s = d d 06h 09m 10s = d. 25
26 7: 20 29d 12h 44m 03s = d d 07h 43m 12s = d. 1/( ) = 1/( ) + 1/( ) 24h 00m 00s 1 23h 56m 04s = ( 1 ) 1 1 1/( ) = 1/( ) + 1/( )
27 ( ) ( ) h 40m 1 2h h 40m + (2 + 20/31) 2h 12h, 20 8h (UT: UniversalTime): ( ) =( ) 9 (JD: Julian Date): BC 4713( 4712) ( ) 12 JD 0.0 AD ( ) JD AD ( ) JD = ( ) ( ) (1873 )1 1 ( ) 8.4 (AU: AstronomicalUnit) =1AU= km (pc: parsec) ( ) 1 =1 pc = 3.26 (parallax) (second) 1 =1 = km ( ) ( ) n i n r θ i θ r sin θ i sin θ r = n r n i = n. (1) 8 n 1 27
28 sin 1 (1/n) 8: θ i : θ r : θ rfl : 9.2 a b f ( ) 1 a + 1 b = 1 f. 9 (i) (ii) (iii) 3 ( ) m (= h /h) m = b a = f a f = b f. (3) f a, b, f R (2) f = R 2 (> 0) (4) 28
29 9: (a) (b) f d k m m =(k + f d)/f. (5) f = 5 cm, k ( 25 cm), d = f m = P: Q: F: L: H: F : L : H : f=fh = H F. s =FL s =L F. H H 1 s s PH = a, H Q=b (2), (3) (i) (iii) (ii) 29
30 PL = a, L Q=b (a s)(b s )=f 2, m = f a s = b s f (6.1 ) f m d s m (6) (7) m B =(d s m )/f m (8) 10: f 1,f 2 2 l f s, s 1 f = l, (9) f 1 f 2 f 1 f 2 s =(1 l f 2 )f, s =(1 l f 1 )f. (10) 2 f = f 1 f 2 /(f 1 + f 2 ) f o,f e l d 30
31 k a b 11: h b = af o a f o, h = f o a f o h h h h 1 l b 1 k d = 1 f e l = b + f e(k d) a k d = f o + f e, (11) k d + f e a f o k d + f e h = k d + f e f e h = f o a f o k d + f e f e h (12) θ θ e θ = h a + l + d + t, θ e = h k = f o f e k d + f e k(a f o ) h. t ( ) m m = θ e θ = f o a + l + d + t f e a f o k d + f e k (13) 31
32 (11) t 0,d 0 a f o f e l f o m = f o f e a + f o a f o (1 + f e k ). (14) (a) a,k m = f o /f e. (15) f o = 1000mm, f e = 20mm m =50 (b) m = f o f e 1+(f o /a) 1 (f o /a). f o = 1000mm, f e = 20mm, a = 100m m = =51. (c) f g D= 1000/f g [mm] 5 f g =20cm 5 20 cm (15) fe 1 fe 1 + fg 1 f g (14) a, k = f g D m = f o ( 1 f e + D 1000 ). f o = 1000mm, f e =20mm 5 m = 1000( )=55 D=5 f g m = 1000( )=45 (d) (11), (12) f o f e,f e f c k =0 m B = h h = f e a f e f c d f c, l = af e a f e df c f c d. (16) 32
33 l a f e, d f c (16) f 2 e a f e f 2 c f c d. m B = f c /f e (17) l 9.5 p e a = f o + f e (3) p = m D = f e a f e D = D m m s e e = b (f e s e )=s e + f e /m s e. (19) m a = f o f e ( ) (1 1 m )f e h = D m = p d 2ω p e tan ω (D/m + p e ) = 2[(1 1/m)f e + d]. 2ω 2ω = 2ω m 1 D (m 1)f e + md m (1 + mp e D ) ( ) D = 26mm, f o =1.33m, m =14 p e = 5mm, d=0 2ω = (1 + )=0.0056rad = 19 (14 1) (18)
34 12: p e f o f e p e d AFOV 2ω = AFOV/m AFOV = 50,m= D δ λ {J 1 (πdδ/λ)/δ} 2 J 1 (x) 1 Dδ/λ 0.0, 0.82, 1.34, 1.85, ( ) ( ) (7.3 ) δ A λ 500 [nm] ( ) δ A =2.44λ/D /D[mm] = 250 /D[mm] 34
35 d A F F d A = F [mm] (20) 84 % 2 Dδ/λ ( ) δ D = 116 D[mm] 1 60 m 60 /m m 0.5D[mm] D 2D D = 125 mm (21) 9.7 h θ h sin θ θ sin θ θ 3 5 (1856 ) ( h 3 ) ( h 2 θ) (coma) φ/2 λ F F λ =0.1φ/F 2 ( CCD) 0.02 mm φ =0.2F 2 [mm] F = mm F =5 5mm ( hθ 2 ) 2 2 ( ) ( θ 3 ) ( ) ( hθ 2 ) 35
36 9.8 n R 90 = n 1 n (n =1.51) (22) R 90 = = R 45 = n 2 (n 2 1) 2 (n 2 + 2n 2 1) 3. (23) n =1.4 R 45 = n> 2=1.414 R 45 =1( ) n < 2 R 45 = (n 2 1) 2 (1 + n 2 n 2 ) 3. (24) (23) n 1/n 1/n n =1.4 R 45 = (a) n i 1 n i O R i P A, B, P H APO α, BPO β, POH γ α, β, γ sin θ tan θ θ ( ) (1) n i 1 α = n i β. HA=a i, HB=b i ( a i ) h i =PH h i = γr i =(γ β)b i =(γ α)a i. 36
37 13: α = γ(1 R i a i ), β = γ(1 R i b i ) n i = α n i 1 β = 1 (R i/a i ) 1 (R i /b i ). (25) a i b i 12 (b) d i a i+1 = b i d i (26) a i+1 b i+1 ( k ) a 1 n 0,,n k,r 1, R k 1,d 1, d k 1 a i (i =1,..., k), b i (i =1,..., k) 37
38 h i h i+1 h i = a i+1 b i f a 1 f =(h 1 /h k )b k b k k k f = b i / a i, (a 1 ). (27) i=1 i=2 f n k f = n 0 f (28) n 0 = n k =1 R 1,R 2, d f s, s s =(1+ 1 f =(n 1){ 1 1 (n 1)d + }, R 1 R 2 nr 1 R 2 (29) (n 1)d )f, s (n 1)d =(1 )f nr 2 nr 1 (30) R 1 > 0, R 2 < 0 38
39 10 6: ( 125 mm ) mm mm mm
40 7: 20 And 11 Lac 10 Ant 4 Leo ( ) 4 Aps ( ) 7 Lep ( ) 2 Aql ( ) 9 Lib ( ) 7 Aqr ( ) 10 LMi ( ) 4 Ara ( ) 8 Lup ( ) 7 Ari ( ) 12 Lyn ( ) 3 Aur ( ) 2 Lyr ( ) 8 Boo ( ) 6 Men ( ) 2 Cae ( ) 1 Mic ( ) 9 Cam 2 Mon ( ) 3 Cap ( ) 10 Mus ( ) 5 Car ( ) 3 Nor ( ) 7 Cas 12 Oct ( ) 10 Cen 6 Oph ( ) 8 Cep 10 Ori 2 Cet ( ) 12 Pav ( ) 9 Cha 4 Peg 10 Cir 6 Per 1 CMa ( ) 2 Phe ( ) 12 CMi ( ) 3 Pic ( ) 2 Cnc ( ) 3 PsA ( ) 10 Col ( ) 2 Psc ( ) 11 Com ( ) 5 Pup ( ) 3 CrA ( ) 8 Pyx ( ) 4 CrB ( ) 7 Ret 1 Crt 5 Scl ( ) 11 Cru ( ) 5 Sco 7 Crv ( ) 5 Sct ( ) 8 CVn ( ) 6 Ser ( ) ( / ) 7 /8 Cyg ( ) 9 Sex ( ) 4 Del ( ) 9 Sge ( ) 9 Dor ( ) 1 Sgr ( ) 9 Dra ( ) 8 Tau ( ) 1 Equ ( ) 10 Tel ( ) 9 Eri 1 TrA ( ) 7 For ( ) 12 Tri ( ) 12 Gem ( ) 3 Tuc ( ) 11 Gru ( ) 10 UMa ( ) 5 Her 8 UMi ( ) 7 Hor ( ) 1 Vel ( ) 4 Hya ( ) 4 Vir ( ) 6 Hyi ( ) 12 Vol ( ) 3 Ind 10 Vul ( ) 9 40
41 8: ( ) h m α Eri γ And 2.2d o Cet 3.0v α UMi ( ) β Per 2.1v α Tau β Ori α Aur 0.1d α Ori 0.5v α Car ( ) α CMa α Gem 1.6d α CMi β Gem α Leo γ Leo 1.9d β Leo α Cru 0.8d β Cru ζ UMa 2.1d α Vir ( ) 1.0d β Cen 0.6d α Boo α Cen -0.3d α Sco ( ) 1.0dv α Lyr ( ) β Cyg 2.9d α Aql ( ) α Cyg α PsA d v 41
42 9: (AU) ( ) =1AU( ) = km = : ( ) ( =1) ( ) ( ) ( ) (11 ) (60.2 ) h 56m h 37m h 55m h 39m h 14m h 07m ( 27.3 ) ( ) ( 29.5 ) ( ) = 6378 km. 42
43 ( 2001) W. Tirion, Sky Atlas, Deluxe Edition (Cambridge University Edition, 1989). 4. ( ) 5. ( ) 6. ( ) 7. Sky and Telescope (monthly) 8. ( ) 9. I II ( ) 10. ( ) 11. ( ) 12. ( 1978) ( ) 14. CCD ( 2002) 15. CCD ( ) 16. ( 1988) 17. ( 1989) 1. ( 2003) 2. The Sky ( 2003) 3. emapwin takesako/cal/emapwin eng.htm 1. NASA 2. Hubble 3. rt6k,okn/index2.htm LRGB 4. ToUcam 5. dd6t-sg/ web site 43
44 John Adams ( ), 19 Ernst Abbe ( ), 9 Giovanni Amici ( ), 9 George Airy ( ), 18, 34 Heinrich Erfle ( ), 9 Allan Kirkham (20 ), 6 S. Guillaume Cassegrain (1625? 1712), 6 Giovanni D. Cassini I ( ), 19 Galileo Galilei ( ), 5 Johann Galle ( ), 19 James Gregory ( ), 7 13 Gregory XIII ( ), 27 Henri Chrétien ( ), 6 Johannes Kepler ( ), 5 Carl Kellner ( ), 9 Philipp von Seidel ( ), 35 Christoph Scheiner ( ), 5 Bernhard Schmidt ( ), 6 Willebrord Snell ( ), 27 John Saris (? 1646), 7 CarlZeiss ( ), 9 William Dawes ( ), 5, 35 Horace Dall ( ), 6 John Dollond ( ), 7 Clyde Tombaugh ( ), 19 Albert Nagler (1935 ), 9 James Nasmyth ( ), 7 Isaac Newton ( ), 5 William Herschel ( ), 7, 19 Peter Barlow ( ), 15 J. Beyer ( ), 20 Giuseppe Piazzi ( ), 25 William Pickering ( ), 21 Hipparchus of Rhodes (BC190 BC120), 5, 20, 23 J.B. Leon Foucault ( ), 16 Claudius Ptolemy (AD85 AD165 ), 20 Joseph von Fraunhofer ( ), 34 James Bradley ( ), 23 Georg Plössl( ), 9 Friedrich Bessel( ), 23 Jean C.A. Peltier ( ), 16 Christiaan Huygens ( ), 9, 19 Johann Bode ( ), 25 Chester Hall ( ), 7 Ignazio Porro ( ), 9 Dmitrii Maksutov ( ), 6 Charles Messier ( ), 7, 21 George Ritchey ( ), 6 Hans Lippershey ( ), 7 Urbain Le Verrier ( ), 19 AFOV, 8 DEC, 22 FOV, 8 F F value, 5 Hα Hα line, 22 IC Index Catalogue, 21 LRGB Luminance-Red-Green-Blue, 16 NGC New GeneralCatalogue, 21 O III O III filter, 21 RA, 22 RegiStax, 16 ToUcam, 16 44
45 AU, 27 eye relief, 8, 33 achromat, 6 apochromat, 6 Amici prism, 9 image circle, 35 color correction, 6 Airy disk, 18, 34 satellite, 19 tele-extender, 15 Neptune, 19 diffraction ring, 34 resolving power, 5, 17 guidescope, 13 guided imaging, 17 Mars, 19 mount, 5 go-to mount, 12 fork mount, 12 angle of inclination, 25 semi-major axis of orbit, 25 orbitalelements, 25 retrograde motion, 19 polar axis, 13 polar scope, 12 virtualimage, 30 galactic latitude, 24 galactic coordinates, 24 galactic north pole, 24 galactic longitude, 24 paraxialrays, 36 paraxilrays, 28 Venus, 18 perihelion, 25 argument of perihelion, 25 quadrature, 19 law of refraction, 27 refractive index, 27 Gregolian calendar, 27 alt-az mount, 12 lunar eclipse, 18 penumbra eclipse, 18 umbra eclipse, 18 epoch, 25 conjunction, 19 superior conjunction, 19 inferior conjunction, 19 ecliptic latitude, 24 nebular filter, 21 ecliptic pole, 24 ecliptic longitude, 24 aperture, 5 aberration, 23 star, 20 siderealmonth, 26 siderealtime, 27 siderealday, 26 siderealyear, 25 period of revolution, 25 ecliptic, 24 ecliptic coordinates, 23 Zodiac, 20 light-year, 27 sunspot, 22 collimation method, 15, 16, 32 composit, 16 precession, 22 greatest elongation, 18 synodic month, 26 sagittalplane, 35 seeing, 21 hour angle of sidereal time, 13 meridian, 27 apparent diameter, 15 realfield of view, FOV, 8 45
46 realimage, 31 exit pupil, eyepoint, 8, 33 aberration, 35 chromatic aberration, false color, 35 sphericalaberration, 35 coma, 35 astigmatism, 35 distortion, 35 field curvature, 35 prime focus method, 15 principalpoint, 29 progressive motion, 19 vernalequinox, 22 opposition, 19 ascending node, 25 ecliptic longitude of, 25 focus, 28 focallength, 5, 29 asteroid, 22, 25 Mercury, 18 comet, 22 Snell s law, 27 nebula, 21 dark nebula, 21 extragalactic nebula, galaxy, 21 defuse nebular, 21 planetary nebula, 21 constellation, 20 star cluster, 21 globular cluster, 21 open cluster, 21 universaltime, 27 declination, DEC, 22 right ascension, RA, 22 equatorialmount, 12 equatorialcoordinates, 22 eyepiece, 8 Erfle type, 9 orthoscopic, 9 Kellner type, 9 Nagler type, 9 Plössltype, 9 Huygens type, 9 totalreflection, 28 binocular, 9 roof prism type, 9 Porro prism type, 9 atmospheric refraction, 17 Sun, 22 solar day, 26 solar year, 25 super nova, 22 diopter, 32 celestial sphere, 22 zenith, 17 diagonalprism, 9 diagonalmirror, 9 Uranus, 19 celestial equator, 22 north celestial pole, 22 astronomicalunit, 27 magnitude, 5 limiting magnitude, 5 Saturn, 19 drift method, 13 knife-edge method, 16 Nasmyth focus, 7 transit, 27 double star, 21 transit, 19 solar eclipse, 22 annual parallax, 23, 27 parsec, 23, 27 Barlow lens, 15 46
47 magnification, 10, 30 angular magnification, 31 image magnification, 28 Barlow magnification, 16 telescopic power, 8 magnifier power, 29 transverse magnification, 28 Moon s path, 24 back-focus, 15, 29 wave optics, 34 reflective index, 36, 8,33 diameter of exit pupil, 10, 33 prominence, 22 resolution, 5, 10, 34 Peltier cooling, 16 variable star, 21 telescope, 5 telescopic power, 8 Cassegrain reflector, 6 catadioptoric, 5 Galilean refractor, 5 refractor, 5 Keplerian refractor, 5 Schmidt-Cassegrain type, 6 Schmidt type, 6 Dall-Kirkham type, 6 Newtonian reflector, 5 reflector, 5 Maksutov type, 6 Ritchey-Chrétien type, 6 Bode s law, 25 Moon glass, 18 Pluto, 19 Messier catalogue, 21 meridionalplane, 35 motor drive, 12 Jupiter, 19 Julian century, 27 Julian date, 27 Julian calendar, 27 eccentricity, 25 stationary, 19 facula grains, 22 meteor, 22 focalreducer, tele-compressor, 15 lens, 28 eyepiece, 8 object lens, 5 meniscus lens, 6 binary star, 21 exposure time, 17 planet, 18 planetary nebula, 21 superior planet, 19 inferior planet, 18 apparent field of view, AFOV, 8, 11 47
C03-044 2008 2 29 1 4 1.1.......................................... 4 1.2...................................... 4 1.3.......................................... 4 2 6 2.1......................................
2 1
1 ( ) (NPO ) 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 100kpc( ) 10 1: ( ) ( ) / α Eri 0.46 B3 V 145 0.10 α Tau 0.85 K5 III 64 0.20 β Ori 0.12 B8 Ia 800 0.00 α Aur 0.08d G8 III 42 0.43 α Ori 0.50v M1-2 Ia-Iab 450
[1] 2 キトラ古墳天文図に関する従来の研究とその問題点 mm 3 9 mm cm 40.3 cm 60.6 cm 40.5 cm [2] 9 mm [3,4,5] [5] 1998
![[1] 2 キトラ古墳天文図に関する従来の研究とその問題点 mm 3 9 mm cm 40.3 cm 60.6 cm 40.5 cm [2] 9 mm [3,4,5] [5] 1998](/thumbs/88/115513046.jpg "[1] 2 キトラ古墳天文図に関する従来の研究とその問題点 mm 3 9 mm cm 40.3 cm 60.6 cm 40.5 cm [2] 9 mm [3,4,5] [5] 1998")
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医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 2 版 1 刷発行時のものです.
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Formation process of regular satellites on the circumplanetary disk Hidetaka Okada Department of Earth Sciences, Undergraduate school of Scie
Formation process of regular satellites on the circumplanetary disk Hidetaka Okada 22060172 Department of Earth Sciences, Undergraduate school of Science, Hokkaido University Planetary and Space Group
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Mira 型変光星プロジェクト現状とKVN の利用 A.Nakagawa, T.Kurayama (Kagoshima University) Mira Project Observation Current Status KVN + VERA 大マゼラン雲 (LMC) のミラ型変光星周期光度関係 実視等級を元に得られた関係 距離に対してLMCの厚みは小さくすべて同じ距離にあるとみなせるため実視等級を利用できる
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The Structure and Evolution of Stars I. Basic Equations. M r r =4πr2 ρ () P r = GM rρ. r 2 (2) r: M r : P and ρ: G: M r Lagrange r = M r 4πr 2 rho ( ) P = GM r M r 4πr. 4 (2 ) s(ρ, P ) s(ρ, P ) r L r T
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14???? (2011) 247 3 24 ( ) ( ) (2011 5 20 ; 2011 8 15 ) We examine the value of ΔT at around AD 247. We found that there is a comment in the Jinshu ( ) on the eclipse on March 24, 247 (Julian Calendar).
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V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H
199 1 1 199 1 1. Vx) m e V cos x π x π Vx) = x < π, x > π V i) x = Vx) V 1 x /)) n n d f dξ ξ d f dξ + n f = H n ξ) ii) H n ξ) = 1) n expξ ) dn dξ n exp ξ )) H n ξ)h m ξ) exp ξ )dξ = π n n!δ n,m x = Vx)
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2007 2007 7 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1 2007 2 4 5 6 6 2 2.1 1: KEK Web page 1 1 1 10 16 cm λ λ = h/p p ( ) λ = 10 16 cm E pc [ev] 2.2 quark lepton 2 2.2.1 u d c s t b + 2 3 e 1 3e electric charge
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Herschel400 導入星図試作品 落穂その1 同じ様式でその他の天体を補ったもの 市街地で見やすく 眼視のハーシェルが見落としやすい 小さい惑星状星雲をかなり足したが まだまだある 散光星雲は写真やフィルタの発達で対象天体が増えたが 市街地では見にくいので今回はあまり足していない 南天の星は当然追加になる 星図は滝星図 8.5 を使用し 視野 1 度の円と明るい星からの導入路を補った http://www.geocities.jp/toshimi_taki/index.htm
(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x
![(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x](/thumbs/104/162595168.jpg "(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x")
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ISLE 2010/08/17 Talk plan 1. ISLE 2. 3. 4. 2011A 2010/8/17 OAOUM 2010 ISLE 2010/8/17 OAOUM 2010 ISLE OASIS HAWAII (HgCdTe 1024 1024) 4.2 4.2 arcmin 2, 0.25 arcsec/pix (13 Filters) 2006B FWHM = 0.75 arcsec
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I-2 (100 ) (1) y(x) y dy dx y d2 y dx 2 (a) y + 2y 3y = 9e 2x (b) x 2 y 6y = 5x 4 (2) Bernoulli B n (n = 0, 1, 2,...) x e x 1 = n=0 B 0 B 1 B 2 (3) co
16 I ( ) (1) I-1 I-2 I-3 (2) I-1 ( ) (100 ) 2l x x = 0 y t y(x, t) y(±l, t) = 0 m T g y(x, t) l y(x, t) c = 2 y(x, t) c 2 2 y(x, t) = g (A) t 2 x 2 T/m (1) y 0 (x) y 0 (x) = g c 2 (l2 x 2 ) (B) (2) (1)
最新耐震構造解析 ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.
最新耐震構造解析 ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/052093 このサンプルページの内容は, 第 3 版 1 刷発行時のものです. i 3 10 3 2000 2007 26 8 2 SI SI 20 1996 2000 SI 15 3 ii 1 56 6
6 2 2 x y x y t P P = P t P = I P P P ( ) ( ) ,, ( ) ( ) cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ y x θ x θ P
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I013 00-1 : April 15, 013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida) http://www.math.nagoya-u.ac.jp/~kawahira/courses/13s-tenbou.html pdf * 4 15 4 5 13 e πi = 1 5 0 5 7 3 4 6 3 6 10 6 17
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r 1 r 2 r 1 r 2 2 Coulomb Gauss Coulomb 2.1 Coulomb 1 2 r 1 r 2 1 2 F 12 2 1 F 21 F 12 = F 21 = 1 4πε 0 1 2 r 1 r 2 2 r 1 r 2 r 1 r 2 (2.1) Coulomb ε 0 = 107 4πc 2 =8.854 187 817 10 12 C 2 N 1 m 2 (2.2)
50 2 I SI MKSA r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq
49 2 I II 2.1 3 e e = 1.602 10 19 A s (2.1 50 2 I SI MKSA 2.1.1 r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = 3 10 8 m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq F = k r
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1 1 x y = y(x) y, y,..., y (n) : n y F (x, y, y,..., y (n) ) = 0 n F (x, y, y ) = 0 1 y(x) y y = G(x, y) y, y y + p(x)y = q(x) 1 p(x) q(
1 1 y = y() y, y,..., y (n) : n y F (, y, y,..., y (n) ) = 0 n F (, y, y ) = 0 1 y() 1.1 1 y y = G(, y) 1.1.1 1 y, y y + p()y = q() 1 p() q() (q() = 0) y + p()y = 0 y y + py = 0 y y = p (log y) = p log
