Classic HD:ŠŸŠp”Ò:Discovery:‘‚ŠÞ:‚²„¤:Ÿ_Ł¶:Simulation_for_HRO.dvi

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1 HRO

2 HRO (Ham Radio Observation) HRO HRO km Microsoft Excel HRO HRO HRO

3 HRO HRO

4 1 1.1 HRO[Ham Radio Observation] HRO 1.2 HRO 100km km/sec km 1999[5] HRO km VHF MHz ( 2001[2] 2

5 1.3 HRO HRO HRO N ± N HRO HRO 1.4 HRO HRO HRO HRO HRO HRO 3

6 1.1: HRO

7 i r HRO i r i = r HRO Height Ceiling 110km x 2 A 2 + y2 A 2 d 2 + z 2 A 2 =1 (2.1) d2 y y = r =(l, m, n) 1 0 ( 1984[1] n =(L, M, N) (2.1) s ( d x 2 ds A 2 + y2 A 2 d 2 + z 2 ) A 2 d 2 = d ds 1 dx ds d dx x2 A 2 + dy ds d dy dx ds 2x A 2 + dy ds y 2 A 2 d 2 + dz ds d dz 2y A 2 d 2 + dz ds z 2 A 2 d 2 =0 2z A 2 =0 (2.2) d2 1 a b = a b cos θ θ =90 a b =0 5

8 ( ) dx ds, dy ds, dz ds t t n 90 (2.2) n t =0 L dx ds + M dy ds + N dz =0 (2.3) ds (L, M, N) = ( 2x A 2, 2y A 2 d 2, ) 2z A 2 d x 2 A 2 + y2 A 2 d 2 + z 2 A 2 d 2x A 2 l + 2y A 2 d 2 m + 2 =1 (2.4) 2z A 2 n =0 (2.5) d2 x xyz (x, y, z) (l, m, n A d y 90 < = y < = 120 (2.6) Height Ceiling (2.4),(2.5) Excel I (2.4) x (2.5) z 2 x = ( m l A 2 A 2 d 2 y + n l A 2 ) A 2 d 2 z (2.7) (2.7) (2.8) z 2 = A 2 d 2 A2 d 2 A 2 x 2 y 2 (2.8) z 2 = A 2 d 2 y 2 A2 d 2 z 2 = A 2 d 2 y 2 A 2 ( m 2 l 2 ( m l A 2 A 2 d 2 y + n l A 2 ) 2 A 2 d 2 z A 2 A 2 d 2 y2 +2 mn l 2 A 2 A 2 d 2 y z + n2 l 2 A 2 ) A 2 d 2 z2 6

9 { n 2 A 2 + l 2 ( A 2 d 2)} z 2 +2mnA 2 yz + { m 2 A 2 + l 2 ( A 2 d 2)} y 2 l 2 ( A 2 d 2) =0 z z = mna2 y ± D/4 n 2 A 2 + l 2 (A 2 d 2 (2.9) ) D/4 = m 2 n 2 A 4 y 2 { n 2 A 2 + l 2 (A 2 d 2 ) }[{ m 2 A 2 + l 2 (A 2 d 2 ) } y 2 (A 2 d 2 ) 2 l 2] x, z, D/4 Microsoft Excel (1) (l, m, n) (2) d =( )/2 (3) y (4) A (3)(4) (4) km (1) Sienna Starry Night φ θ l =cosφ cos ( θ +90 ), m =sinφ, n =cosφ sin ( θ +90 ) y α d x 0 d cos ( α +90 ) x 0 d cos ( α +90 ) x 1 y 0 0 = y 0 = y 0 d sin ( α +90 ) z 0 d sin ( α +90 ) z 0 z 1 7

10 (x, y, z) = (r, θ, φ) r 0 = x y2 0 + z2 1 ( ) x θ 0 =arccos 1 x 2 1 +z1 ( 2 ) x 2 1 φ 0 =arcsin +z2 1 y 0 α r 0 0 r 0 r 0 θ 0 α = θ 0 α = θ 1 0 φ 0 Excel x 2 = r 0 cos φ 0 cos θ 1 φ 0 φ 0 y 1 = r 0 sin φ 0 z 2 = r 0 cos φ 0 sin θ 1 (2.7),(2.9) (x 0,y 0,z 0 ) x y (x 2,y 1,z 2 ) [7] d = 2Rδ π/360 cos δ = (sinφ 0 sin φ 1 )+(cosφ 0 cos φ 1 cos λ) φ = λ = R =6,370km α υ cos υ =(sinφ 1 cos δ sin φ 0 ) / (sin δ cos φ 0 ) φ = λ = δ = P 0 P 1 λ = P 0 P 1 P 0 = P 1 = λ α = δ λ α = 360 υ P 0 P 1 δ = P 0 P 1 υ υ 8

11 HRO HRO Dust Trail γ ι HRO ICOM IC706 50MHz SSB USB 2el HB9CV 0 5D-2V 10m MHz 2 HROFFT : MHz HROFFT gif Microsoft Excel HRO HRO

2.1: HROFFT 1999/12/15 0:50 HRO 2001 AMRO 2.2.3 Watec Neptune100 CCD f=6mm F0.

12 2.1: HROFFT 1999/12/15 0:50 HRO 2001 AMRO Watec Neptune100 CCD f=6mm F SONY TRV-9 Mini-DV SP 2.2: 10

13 WAT-100N OB ι HRO time-nw.nist.gov NTT ±1 HRO AMRO

14 3 3.1 HRO 1.1 x, y, z y x, z x z HRO HRO x z

15 3.1: 3.2: 13

16 HRO d(km) R(km) h(km) 4.1 h h = R (1 cos θ) (4.1) θ = d R (4.2) y = h 90 R = ( ( )) d 90 < = R 1 cos R < = 120 (4.3) < = d < = (4.4) 4.1: 14

17 4.2: A P 1 R T R R (R T + R R ) (4.5) ( ) P (t) G(t) = 10 log P (t 0 ) [db] (4.6) R T R R Ohnishi2001[3]) A = A = [dB] km 2000km HRO i r HRO

18 0:00 67% 0% 0% 0:10 67% 0% 0% 0:20 78% 0% 0% 0:30 50% 0% 0% 0:40 100% 0% 0% 0:50 0% 0% 0% Average 60% 0% 0% 4.1: 4.3: = 100 % 4.1 i r 16

19 HRO km 4. HRO HRO HRO HRO 100km HRO HRO % 17

20 HRO = HRO xyz 90 < = y < = 120 HRO HRO HRO 2002 International Science Symposium on the Leonid Meteor Storms(MeSci, Tokyo, Japan, ), Simulation for Ditective field of HRO, Yousuke UTSUMI HRO (Ham Radio Observation) is one of the valuable methods of observing meteor. However, it has not only the advantages but defects like that it has unknown detective field of HRO. If the field would be transformed by zenithal position of radiation point, the number of meteor by HRO does not have scientific value. So, the purpose of this report is proving time change of the detective field through simulation. HRO is the meteor radar of a forward scatter system. If the surface of the meteor trail is smooth and enough size for frequency, because most of the echo is small, this system can receive echo of the meteors on that condition. The meteor touches the ellipsoid of revolution which the transmitting station and the receiving station is positioning on focus. And the meteor is height of about 100km (average height of meteor trail). We calculated the field on aforesaid condition by Microsoft Excel and figured a value of the result. Consequently, we succeed to simulate the area transition and time shift of the detective field and it is shown that this result is that HRO has the time during which HRO cannot receive in a specific meteor stream. Actually, We could not receive echo of Geminids(Dec ) by using HRO at midnight. Therefore we have achieved one of the base to estimate the real number of meteor data by HRO observing. (International Science Symposium on the Leonid Meteor Storms, Abstruct) 18

21 Astro-HS AMRO MURO 19

22 [1] (1984) FM (II) [2] RMG P112 [3] Kouji Ohnishi : The Motion of Radio Meteor Reflection Point of Geminids, November 2001, ESA SP-495 [4] McKinley D.W.R.(1961) : Meteor Science and Engineering, McGraw-Hill [5] 1999 VHF [6] Jun-ichi WATANABE : Rader Observation of the Strong Activity of a Perseid Meteor Shower in 1991, Publ. Astron. Soc. Japan 44, 1992, P677-P685 [7] Q&A P66 P71 20

Gmech08.dvi

Gmech08.dvi 145 13 13.1 13.1.1 0 m mg S 13.1 F 13.1 F /m S F F 13.1 F mg S F F mg 13.1: m d2 r 2 = F + F = 0 (13.1) 146 13 F = F (13.2) S S S S S P r S P r r = r 0 + r (13.3) r 0 S S m d2 r 2 = F (13.4) (13.3) d 2