GPS 1 2 GPS 29 GPS II IIA IIR 3 2 km GPS GPS 3 ID GPS 4 GPS GPS X Y GPS 1575:42 MHz L1 C/A coarse/acquisition code C/A SPS; standard po- 1:

Size: px
Start display at page:

Download "GPS 1 2 GPS 29 GPS II IIA IIR 3 2 km GPS GPS 3 ID GPS 4 GPS GPS X Y GPS 1575:42 MHz L1 C/A coarse/acquisition code C/A SPS; standard po- 1:"

Transcription

1 A1 GPS/GNSS A11 GPS GPS GPS { 29 GPS m 95% GPS GLONASS Galileo GNSS global navigation satellite system GPS GPS GPS IIR-M L2C SBAS satellite-based augmentation system WAAS MSAS 9 GPS/GNSS GPS GPS GNSS GPS/GNSS A12 GPS GPS GPS A { GPS 24

2 GPS 1 2 GPS 29 GPS II IIA IIR 3 2 km GPS GPS 3 ID GPS 4 GPS GPS X Y GPS 1575:42 MHz L1 C/A coarse/acquisition code C/A SPS; standard po- 1: GPS 2: GPS FAA HP sitioning service GPS SPS Performance Standard /1/ 1227:6 MHz L2 P precision code; Y P PPS; precise positioning service P P 2 P L1

3 N 20 0 o W o 60 o o E, m 0 17 S 3: GPS , m 4: GPS Space Segment MHz Mcps C/A 1023 L P 1023 L P 1023 GPS space segment control segment user segment 5 GPS GPS II IIA IIR 3 GPS MCS; master control station 4 5 GPS User Segment Control Segment 5: GPS GPS interface control document L2C /2/ A13 GPS GPS GPS

4 A131 GPS GPS GPS GPS 1 1 1/100 ï= c=f 1/ m 100 khz 3km 2ô GPS f C [Hz] p(t) s t (t) =p(t) sin2ôf C t (1) p(t) sin 2ôf C t f p [Hz] +1 Ä1 BPSK=binary phase shift keying 2 p(t) f p GPS s t (t) s t (t) =D(t) p(t) sin2ôf C t (2) D(t) Ü1 50 bps p(t) Ü1 f p = 1:023 MHz N = 1023 N sin 2ôf C t f C = 1575:42 MHz 2 sin 2ôf C t D(t) p(t) D(t);p(t) f+1; Ä1g s t (t) p(t) +1 Ä1

5 PRN 1 PRN 2 自己相関 相互相関 t, μs a PN PRN (PRN1) (PRN1 vs PRN2) τ, μs b 6: PN PRN code 2 GPS N = ms GPS PRN ICD 37 PRN PRN /2/ PPN 2 p(t) GPS 1:023 MHz 300 m 6 GPS PRN a PRN1 PRN2 PRN 100 b PRN1 PRN1 PRN2 ú= 0 GPS GPS 10 Ä12 GPS GPS x; y; z 4 A132 GPS GPS

6 = 30 T L M H O W 300 = 6 #1 #2 #3 #4 #5 a 300 = 6 順番に送信 = 30 6 b この順に送信 7: 50 bps 1 7 a GPS b TLM telemetry HOW handover TLM HOW GPS GPS HOW :00: ICD /2/ 1 2 #1 3 #2 4 UTC 5 1 2

7 1: GPS (429) (449) (430) (450) (431) (451) (432) (452) (0) (433) (453) (1) (434) (454) (415) (435) (455) (416) (436) (456) (417) (437) (457) (418) (438) (458) (419) (439) (459) (420) (440) (460) (421) (441) (461) (422) (442) (462) (423) (443) (463) (424) (444) (464) (425) (445) (465) (426) (446) (466) (427) (447) (467) (428) (448) (468) n 2 n 2 SV health 0 URA 15 T GD L1 T GD GPS t oc 2 a f0 ;a f1 ;a f2 3 T GD t t Åt t = Ä à a f0 + a f1 (t Ä t oc )+a f2 (t Ä t oc ) 2 +Åt r Ä T GD g (3) Åt r Åt r = Ä 2ep ñ e A sin E (4) c 2 ñ e = 3: Ç m 3 /s 2 IODC IODC 2 3 3, 4 GPS 6 ephemeris GPS

8 2: TLM HOW WN URA 77 6 SV health 83 2MSB IODC T GD Ä31 s LSB IODC t oc 4 s a f2 Ä55 s/s a f1 Ä43 s/s a f0 Ä31 s 3: TLM HOW IODE C rs Ä5 m oån Ä43 sc/s 107 8MSB LSB M 0 Ä31 sc oc uc Ä29 rad 167 8MSB LSB e Ä oc us Ä29 rad 227 8MSB p A Ä19 m 1= LSB t oe 4 s right ascension of the ascending node; ä X inclination angle; i 0 GPS 55 argument of perigee;! semi major axis; a b b = a p 1 Ä e 2 eccentricity; e 0 î e<1 e e =0e =1 true anomaly; í epoch GPS mean anomaly M M = E Ä e sin E (5) E eccentric anomaly p 1 Ä e2 sin E cos E Ä e sin í= ; cos í= 1 Ä e cos E 1 Ä e cos E (6) t 0 M 0

9 4: TLM HOW oc ic Ä29 rad 77 8MSB LSB ä 0 Ä31 sc oc is Ä29 rad 137 8MSB LSB i 0 Ä31 sc oc rc Ä5 m 197 8MSB LSB! Ä31 sc ä _ ä0 Ä43 sc/s _i i 0 Ä43 sc/s M(t) = r ñe a 3 (t Ä t 0)+M 0 (7) M(t) =M 0 +2ô s a T =2ô 3 (8) ñ e GPS km T = =23 56 GPS 1 4 GPS 3:874 km/s GPS t t oe M M = M 0 +(n 0 +Ån) Å(t Ä t oe ) (9) í 5 E E 0 = M 10 E i+1 = E i + e sin E i (10) 6 í ECEF û û= í+! (11) C u r i u û 6 4 r 7 5 = 6 4 A(1 Ä e cos E) 7 5 i i 0 + _i (t Ä t oe ) 2 3 C uc C us " # C rc C rs 7 cos 2û 5 (12) sin 2û C ic C is ECEF ä = ä 0 +( ä _ Ä ä _ e ) Å(t Ä t oe ) Ä ä _ e t oe (13) x cos ä Ä sin ä cos i " # 6 4 y 7 5 = 6 4 sin ä cos ä cos i 7 r cos u 5 r sin u z 0 sini _ä e =7: Ç 10 Ä5 (14) rad/s GPS IODE IODC sc=semi-circle; 1 sc = ô rad 3: km GPS

10 X Z 降交点 P 近地点 Y Ω ω i 昇交点 a y M M a F 2 虚焦点 O r E θ F 1 b 地球 C x P 近地点 t oa b 8: 70 ms GPS 3km GPS GPS Sagnac 100 km GPS ã 0 ã 3 ;å 0 å 3 8 GPS [s] 8 >< F Ç 5 Ç 10 Ä9 + AMP ê ëi T iono (t L )= Ç 1 Ä x2 2 >: + jxj < 1:57 x4 ; 24 5 Ç 10 Ä9 F; jxj ï1:57 (15) 9 15 x

11 5: TLM HOW SV ID e 91 8 t oa Ä21 12 s éi Ä19 sc ä _ ä0 Ä38 sc/s SV p health A Ä11 m 1= ä 0 Ä23 sc ! Ä23 sc M 0 Ä23 sc MSB a f a f1 Ä38 s/s 290 3LSB a f0 Ä20 s 6: TLM HOW SV ID ID = ã 0 Ä30 s 77 8 ã 1 Ä27 s/sc ã 2 Ä24 s/sc ã 3 Ä24 s/sc å å 1 14 s s/sc å 2 16 s/sc å 3 16 s/sc o A 1 UTC Ä50 s/s MSB LSB A 0 o UTC Ä30 s t ot 12 s WN t UTC 0 weeks Åt LS 0 s WN LSF 0 weeks DN Åt LSF 0 0 days s x = 2ô(t L Ä 14 Ç 3600) PER (16) t L pierce point GPS t t L =12Ç3600 ï i + t 14 5ns AMP ã 0 ã ( 3 ) 3X i AMP =max 0; ã i û m (17) i=0 û m [rad] PER å 0 å 3 ( ) 3X i PER =max 20 Ç 3600; å i û m (18) i=0 F

12 , D iono ns AMP PER/ , t h 9: 35 EL 35 GPS F =1+16(0:53 Ä EL) 3 (19) û m 0:00137 = Ä 0:022 (20) EL +0:11 û i0 = û u + cos AZ 8 >< û i0 ; jû i0 jî0:416 û i = 0:416; û i0 > 0:416 (21) >: Ä0:416; û i0 < Ä0:416 ï i = sin AZ ï u + cos û i (22) û m = û i +0:064 cos(ï i Ä 1:617) (23) AZ û u ;ï u û i ;ï i semi-circle A133 i r i [m] ö i [m] é[s] pseudo-range r i = ö i + cé= ö i + s ö i (x; y; z) i (x i ;y i ;z i ) ö i = p (x i Ä x) 2 +(y i Ä y) 2 +(z i Ä z) 2 (24) [m] x 8 r 1 = p (x 1 Ä x) 2 +(y 1 Ä y) 2 +(z 1 Ä z) 2 + s >< r 2 = p (x 2 Ä x) 2 +(y 2 Ä y) 2 +(z 2 Ä z) 2 + s >: r N = p (x N Ä x) 2 +(y N Ä y) 2 +(z N Ä z) 2 + s (25) x; y; z; s é x; y; z 4 1 s = cé s 5 1 x; y; z 2 s 25

13 送信源 #3 R 3 -s r 3 送信源 #1 r 1 -s r 1 ユーザ r 2 -s r 2 送信源 #2 År i Åx; Åy; Åz;Ås 5 Åx; Åy; Åz;Ås x 1 = x 0 +Åx; y 1 = y 0 +Åy; z 1 = z 0 +Åz; s 1 = s 0 +Ås 10: 1 x; y; z; s x 0 ;y 0 ;z 0 ;s 0 2 x 0 ;y 0 ;z 0 ;s 0 8 r1= p 0 (x 1 Ä x 0 ) 2 +(y 1 Ä y 0 ) 2 +(z 1 Ä z 0 ) 2 + s 0 >< r2= p 0 (x 2 Ä x 0 ) 2 +(y 2 Ä y 0 ) 2 +(z 2 Ä z 0 ) 2 + s 0 >: rn 0 =p (x N Ä x 0 ) 2 +(y N Ä y 0 ) 2 +(z N Ä z 0 ) 2 + s 0 (26) 3 r i År i = r i Ä ri 0 4 x 0 ;y 0 ;z 0 ;s 0 r i x; y; z; s 8 >< i i i = Ä(x i Ä x 0 )=r 0 i ; = Ä(y i Ä y 0 )=r 0 i ; = Ä(z i Ä z 0 )=r 0 i ; = 1 x 0 ;y 0 ;z 0 ;s 0 Åx; Åy; Åz; Ås År 1 Åx Åy Åz Ås År 2 Åx Åy Åz Ås (27) År N Åx Åy Åz Ås 6 x 1 ;y 1 ;z 1 ;s 1 2Åx; Åy; Åz; Ås x 0 = y 0 = z 0 = s 0 =0 4 Åx =[ÅxÅyÅzÅs ] T ; År = [År 1 År 2 ÅÅÅÅr N ] T 4 G Åx =År (28) G G = = N 1 2 Ä(x 1 Äx) r 1 Ä(x 2 Äx) r 2 Ä(x N Äx) r 1 2 Ä(y 1 Äy) r 1 Ä(y 2 Äy) r 2 Ä(y N Äy) r Ä(z 1 Äz) r 1 1 Ä(z 2 Äz) r 2 1 Ä(z N Äz) r N (29) GPS 28 4 G 4 4 G Åx = G Ä1 År (30)

14 5 G 5 Åx =(G T G) Ä1 G T År (31) /3/ /4/ N>4 N =5 r 1 ;r 2 ; ÅÅÅ; r N GPS W W = 2 3 w 1 0 ÅÅÅ 0 0 w ÅÅÅ w N =õ 1 0 ÅÅÅ =õ 2 0 = 6 (32) ÅÅÅ 1=õ N õ i r i P i w i =1 Åx =(G T WG) Ä1 G T W År (33) Åx N =4 33 A14 GPS 2 km GPS DOP A141 GPS GPS GPS m 10 m 11 broadcast ephemeris precise ephemeris 1:5 m 2 3 IGS

15 m 高度 km h 密度 0 気温 K 300 密度 kg/m : 気温 熱圏流星中間圏成層圏 1000 対流圏 1 12: 人工衛星 電離層オーロラ international GPS service 5cm /5/ GPS A142 GPS 10 Ä13 1 = Ä8 3m A X GPS 100 km E Es F F1 F2 GPS GPS ns ionospheric delay D iono [m] D iono = 40:3 Z Ndl= 40:3 cf 2 TEC (34) cf2 f L1 1575:42 MHz N [m Ä3 ] R Ndl TEC total electron content [m Ä2 ] 13 2

16 20 A144 m h 13: D iono (90 é ) EL D iono (90 é ) D iono (EL)= r ê ë (35) 2 R 1 Ä e cos EL R e+h iono H iono [m] 350 km m GPS A m 34 2 L1 L2 2 L1 PR L1 L2 PR L2 PR L1 Ä PR L2 Z ûí 40:3 Ndl=(PR L1 Ä PR L2 ) Ä 40:3 ì cf 2 L1 cf 2 L2 (36) TEC 2 atmospheric delay tropospheric delay refractive index 1 1:0003 Hopåeld n [m] D tropo (h; 90 é )=H n í 0 Ä 1 1 Ä h ì 5 (37) 5 H /6/ n 0 h H 43 km n í /7, 8/ n =1+ 77:6 P d T +3:73 Ç P ì 105 w Ç 10 Ä6 T 2 (38) P d [hpa] P w [hpa] T [K] P d = 1000 hpa;p w = 10 hpa;t = 300 K n =1:0003 GPS 37 D tropo (h; 90 é )=2:47 Ä 1 Ä 2:3 Ç 10 Ä5 h Å 5 (39)

17 EL D tropo (h; EL) = 2:47 Ä 1 Ä 2:3 Ç 10 Ä5 h Å 5 (40) sin EL + 0: :5 m GPS GPS A145 GPS GPS GPS GPS 14 multipath i ii 測距誤差, m マルチパス波 ユーザ 直接波 マルチパス波 2 GPS 衛星 14: 衛星仰角, deg 15: ii GPS choke ring A146 GPS

18 8: GPS 13 m 95%; 36 m 95%; 22 m 95%; 77 m 95%; GPS SPS Performance Standard /1/ thermal noise 0:5 m A147 GPS m 5m 7 /9/ 2 95% 7 5:3 m 5:1 m DOP = Ç HDOP = Ç VDOP HDOP =2:0 VDOP =2:5 10:2 m 12:8 m 95% 2 GPS L1 GPS Global Positioning System Standard Positioning Service Performance Standard /1/ 8 95% A elevation mask angle 5 15

19 7: m m m (200) (200) (205) (206) 51 (205) (205) HDOP =2:0 102 (411) VDOP =2:5 128 (514) Global Positioning System: Theory and Applications /9/ A133 A149 DOP År x; y; z; s s Åx 28 G Åx =År (41) G Åx Åx = G Ä1 År (42) e 43 Åx = G Ä1 e (43) e 43 Åx Åx =(G T G) Ä1 G T e (44) Åx =(G T WG) Ä1 G T W e (45) covariance N a =[a 1 a 2 ÅÅÅa N ] covariance matrix cov(a) 2 3 õa 2 1a 1 õa 2 1a 2 ÅÅÅ õa 2 1a N õa 2 2a 1 õa 2 2a 2 õ 2 a 2a N cov(a) = 6 4 (46) 7 5 õa 2 N a 1 õa 2 N a 2 ÅÅÅ õa 2 N a N N Ç Nõ ai a j a i a j E [ Å] a; b õ ab = E [(a Ä E [ a ])(b Ä E [ b ]) ]

20 a i a j i = j õ ai a i a i 43 Åx cov(åx) =G Ä1 cov(e)(g Ä1 ) T (47) e õ 2 cov(e) =õ 2 II cov(åx) =G Ä1 (õ 2 I)(G Ä1 ) T = õ 2 C (48) cov(åx) 2 Åx 3 õxx 2 õxy 2 õxz 2 õxs 2 õyx 2 õyy 2 õyz 2 õ 2 ys cov(åx) = 6 4 õzx 2 õzy 2 õzz 2 õzs õsx 2 õsy 2 õsz 2 õss 2 (49) x; y; z; s i ii i õ õ 2 ii C =(G T G) Ä1 GDOP = 1 q õxx õ 2 + õyy 2 + õzz 2 + õss 2 q = C C C C2 44 PDOP = 1 q õxx õ 2 + õ2 yy + õ2 zz q = C C C2 33 HDOP = 1 q õxx õ 2 + õyy 2 (50) q = C C2 22 VDOP = 1 õp õ 2 zz = jc 33 j TDOP = 1 õp õ 2 ss = jc 44 j PDOP P=position õ x ;õ y ;õ z HDOP H=horizontal õ x ;õ y VDOP V=vertical õ z TDOP T=time C = (G T G) Ä1 GPS DOP Ç HDOP = Ç VDOP = õ PR =10m HDOP =2;VDOP =2:5 20 m 25 m TDOP =1:5 15 m c 45 ns HDOP VDOP G 48 cov(åx) =(G T WG) Ä1 (51) DOP 50 A15 GPS GPS A151 GDOP G=geometric GPS

21 ri 1 (r0 i Ä ö0 i ) 擬似距離を測定 擬似距離を測定 r 1 i Ä (r0 i Ä ö0 i ) 基準局と同じ測定誤差 測定誤差 = ö 1 i + é i +Å 1 + ó 1 i Ä (é i +Å 0 + ó 0 i ) = ö 1 i +(Å 1 Ä Å 0 )+(ó 1 i Ä ó 0 i ) 移動局 基準局から誤差情報を送信して移動局側での測定誤差を補正する 基準局 16: GPS GPS GPS GPS GPS DGPS; diãerential GPS GPS i ri 0 ö 0 i ri 0 = ö 0 i + é i +Å 0 + ói 0 (52) é i i Å 0 ó i 0 ö 0 i ri 0 Äö0 i = é i +Å 0 +ói 0 ri 1 = ö 1 i + é i +Å 1 + ói 1 (53) ö 1 i é i GPS Å;ó GPS GPS km

22 9: DGPS A152 A131 GPS 19:03 cm 19:03 cm GPS 1/ :03 cm N GPS kinematic GPS 10 GPS GPS static GPS static surveying RTK-GPS GPS GPS realtime kinematic GPS; RTK-GPS GPS CDGPS; carrier-phase diãerential GPS GPS DGPS code DGPS GPS DGPS

23 PN carrier smoothing RTK-GPS GPS A153 RTK GPS 10 km 10 km 3 RTK 100 km /10/ RTK RTK VRS virtual reference station RTK GEONET A154 integrity availability continuity 4 GPS N N>4 = (54) PDOP < 6 PDOP < 6 = (55) HDOP < 3 5

24 N>5 HDOP < 3 = (56) alert limit =1Ä (57) 95% A155 GPS augmentation system GPS GPS DGPS RTCM-104 ICAO international

25 civil aviation organization GNSS SARPs; standards and recommended practices /11/ GNSS GPS ICAO GNSS 3 SBAS satellite-based augmentation system GPS GBAS ground-based augmentation system GPS ABAS aircraft-based augmentation system GPS RAIM receiver autonomous integrity monitoring GPS AAIM aircraft autonomous integrity monitoring ABAS GPS SBAS WAAS wide area augmentation system EG- NOS European geostationary navigation overlay service MSAS MTSAT satellitebased augmentation system /12, 13/ WAAS EGNOS MSAS MTSAT multi-functional transport satellite FAA WAAS MSAS 3 9 EGNOS SBAS iii iii GPS L1 1575:42 MHz GPS GBAS SBAS GBAS VHF GBAS A16 GPS II/IIA IIR IIR-M GPS L2 L5 RTK-GPS IIR-M M

26 modiåed 2008 F L2 ARNS L5 GPS GPS III III III GPS GPS Modernization JPO joint program oéce III L1C L1C JPO DGPS khz GPS ITU /15/ GPS GLONASS GLONASS GPS L GPS GPS CDMA FDMA frequency division multiple access GLONASS EU Galileo ICAO GPS SBAS EGNOS EGNOS GNSS-1 GNSS-2 Galileo Galileo Galileo GPS GLONASS A155 GPS ICAO SBAS MSAS ETS-VIII i ii iii /16, 17/ GPS GPS A17 GPS/GNSS /3/

27 GPS 30 MSAS GPS IIR-M 2005 Galileo GPS/GNSS /1/ Global Positioning System Standard Positioning Service Performance Standard, DOD, Oct /2/ Navstar GPS Space Segment / Navigation User Interfaces, Interface Control Document, ICD-GPS-200, rev C, Jan /3/ : GPS 2003 /4/ : GPS 2007 /5/ IGS /6/ Spilker, J J Jr: \Chapter 13: Tropospheric Eãects on GPS," Global Positioning System: Theory and Applications, vol I, pp 517{546, AIAA, 1996 /7/ : 1999 /8/ 2000 /9/ Parkinson, B W: \Chapter 11: GPS Error Analysis," Global Positioning System: Theory and Applications, vol I, pp 469{483, AIAA, 1996 /10/ \VRS RTK-GPS " GPS 2002 pp 145{190 Nov 2002 /11/ International Standards and Recommended Practices, Aeronautical Telecommunications, Annex 10 to the Convention on International Civil Aviation, vol I, ICAO, Nov 2002 /12/ : \ MSAS " GPS 2002 pp 81{85 Nov 2002 /13/ \ MSAS" GPS/GNSS pp 59{63 Nov 2005 /14/ RTCM Recommended Standard for Diãerential GNSS, Version 22, RTCM SC-104, Paper /SC104-STD, Jan 1998 /15/ Technical Characteristics of Diãerential Transmissions for GNSS from Maritime Radio Beacons in the Frequency Band 2835{ 315 KHz in Region 1 and 285{325 KHz in Regions 2 and 3, ITU-R M823-1, 1996 /16/ : \QZSS " GPS/GNSS 2004 pp 75{ 110 Nov 2004 /17/ \QZSS " GPS/GNSS pp Nov 2006 /1/ GPS 2001 SA ICD /2/ GPS GPS GPS GPS GPS IGS International GNSS Service GNSS IGS RINEX 30 GEONET km 30

28 RINEX GPS GPS 11 GPS/GNSS GPS/ CGSIC Civil GPS Service Interface Committee GPS GPS GPS GPS ION GNSS ION Institute of Navigation 9 GPS 2002 ION GPS 2003 ION GPS/GNSS ION GNSS CD-ROM CGSIC ION NTM ION National Technical Meeting ION 1 ION GNSS Annual Meeting 6 CD-ROM

A.2 DGPS MSAS A.2.1 GPS GPS GPS GPS diãerentialgps;dgps GPS GPS DGPS local-area diãerential GPS: LADGPS 100 km DGPS DGPS wide-area di

A.2 DGPS MSAS A.2.1 GPS GPS GPS GPS diãerentialgps;dgps GPS GPS DGPS local-area diãerential GPS: LADGPS 100 km DGPS DGPS wide-area di A2 DGPS MSAS sakai@enrigojp A21 GPS GPS GPS GPS diãerentialgps;dgps GPS GPS DGPS local-area diãerential GPS: LADGPS 1 km DGPS DGPS wide-area diãerential GPS: WADGPS DGPS DGPS DGPS DGPS MSAS MTSAT satellite-based

More information

GPS GPS(Global Positioning System) GPS GPS 1 GPS GPS GPS I II 1994 ( 1991 ) 1

GPS GPS(Global Positioning System) GPS GPS 1 GPS GPS GPS I II 1994 ( 1991 ) 1 GPS 21 6 10 GPS(Global Positioning System) GPS GPS 1 GPS 24 28 GPS GPS 4 1970 I 1978 1985 10 1989 II 1994 ( 1991 ) 1 1: GPS 1.1 GPS GPS c = 2.99792458 10 8 m/sec (1) ( ) GPS 1.1.1 GPS GPS t t [sec] t r

More information

Tokyo University of Marine Science and Technology Laboratory of Satellite Navigation Engineering Tokyo University of Marine Science and Technology GNS

Tokyo University of Marine Science and Technology Laboratory of Satellite Navigation Engineering Tokyo University of Marine Science and Technology GNS GNSS DGPSSBAS MSAS SBAS/MSAS MSAS LEX GPS 4 7.5 26,561km 121158 2 55 L1=1,575.42MHz (10.23MHz154) L2=1,227.6MHz (10.23MHz120) C/A Code (1.023MHz : 1023 chips)l1 P(Y) codel1l2 3 GPS P(Y) P(Y) C/A M P(Y)

More information

2005年度卒業論文

2005年度卒業論文 005 GPS 107 000 GPS (Global Positioning System) GPS GPS GPS GPS GPS 1 GPS GPS 3 GPS GPS 1GPS GPS GPS 1 1.1 GPS.1.1 GPS.1. GPS 3.1.3 9.1.4 11.1.5 13. 14..1 14.. 14..3 15..4 17 1) 17 ) 17 3) 18..5 19.4 GPS

More information

第1章

第1章 8 INS/GPS 74 ...3 GPS. GPS.. GPS.. GPS..3..4..5..6..7 UC.......3 DOPDiluion of Peciion..4..5.3.3. WGS-84.3. GPS/INS 3. Ineil Nigion SemINS 3. GPS/INS 3.3 GPS Klmn File 3.3. Klmn File 3.3. 3.3.3 3.3.4 3.3.5

More information

untitled

untitled HOLUX GR-213 GPS 受信機ユーザーガイド へミスフィア 211-0015 神奈川県川崎市中原区北谷町 16-3 ソニア北谷町ビル 2 階 Tel. 044-223-7071 Fax. 044-223-7072 GR-213 1... 3 1.1... 3 1.2... 3 1.3... 4 1.3.1... 4 1.3.2... 4 1.3.3... 4 1.3.4... 4 1.3.5

More information

GPS GPS GPS GPS GPS

GPS GPS GPS GPS GPS 22 GPS/QZSS 0723053 1... 4 1.1... 4 1.2... 4 1.3 GPS... 4 1.4 GPS... 6 1.5... 12 2 GPS... 16 2.1 GPS... 16 2.2 GPS... 16 2.3... 17 2.3... 18 2.4... 21 2.5... 24 2.6... 26 3 GPS... 28 3.1 DGPS... 28 3.1.1...

More information

最 新 測 量 学 ( 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

最 新 測 量 学 ( 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 最 新 測 量 学 ( 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/047143 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. 3 10 GIS 3 1 2 GPS GPS GNSS GNSS 23 3 3 2015

More information

12 (1) RTK-GPS S/N A i ia (11) (1) ia = f r ia + d i + A + N ia (11) f r ia GPS A i d i i A A N 12 NovAtel In GPS RT-2 NovAtel RT

12 (1) RTK-GPS S/N A i ia (11) (1) ia = f r ia + d i + A + N ia (11) f r ia GPS A i d i i A A N 12 NovAtel In GPS RT-2 NovAtel RT 1 RTK-GPS Prinile and Pratie of RTK-GPS 11 RTK-GPS 11 RTK-GPS RTK-GPS Referene Station, Base Station User Station, Remote Station, Rover Station GPS Carrier Phase 11: RTK-GPS GPS mm Ambiguity 1 RTK-GPS

More information

Microsoft PowerPoint - 12NInst02-5.ppt [互換モード]

Microsoft PowerPoint - 12NInst02-5.ppt [互換モード] .5 GPS の誤差 1NInst:0-31 ( ) 測定値が真値に対して一定方向に偏っている誤差 ( 計測によって修正 ( 校正 ) できる ) ( ) 測定値がはっきりしない原因によって真値の付近でばらつく誤差 ( 修正 ( 補正 ) できない. 数回の観測の平均など ) ( ) 計器の表示の読み違えなどによる誤差 ( 計測者の技量等にも依存する. 間違えに気づいたときは再計測する ) 誤差の要因

More information

00_CID_GPS1200=1-8.ai

00_CID_GPS1200=1-8.ai GPS1200+ GNSS WORKING TOGETHER FUNCTION integrated LEICA SYSTEM 1200 GNSS TPS1200+ The only future proof GNSS Future proof GNSSGNSS GNSS GPS1200+ Future proof GNSS GPS1200+GNSS GNSS RTK RTK GNSS/TPS GNSS

More information

ネットワーク型RTK-GPS測量

ネットワーク型RTK-GPS測量 RTK-GPS 18 3 ...3....3....3. RTK-GPS...5....5....6....6...6...6...7...8 RTK-GPS...13...13 RTK-GPS...14...14...14...15...16...22...22...24...24-1 RTK-GPS...24-2...25...26. RTK-GPS...26....28 . CALS/EC RTK-GPS

More information

efit+ GPS静止/高速静止観測 使用説明書

efit+ GPS静止/高速静止観測 使用説明書 efit + I 1.1 1.1-1 2 1. 2. 1.1-2 (W) (T) (N) (H) (1) 2 efit+ GPS / efit+ GPS / Recon Recon Recon TDS Pocket PC ActiveSync (2) 2.1 Recon efit+(gps) MEMO: efit+(gps) efit+(gps) efit+(gps) ReconRecon CD-ROM

More information

Microsoft Word - 99

Microsoft Word - 99 ÿj~ ui ~ 伊万里道路 ~{Êu ÊËu ÎÍÊ Êy y Ê~ Ê~Êu}Ì ÐÑÒdÌÊh ÿj~ ui ~ ~{Êu ÿj~ 497 ui ~ Êu ui ~Êud~{ÊÿÉÉvÍÉ~{ÉÆÍÂu ÊÆÇÍÊÂ~ÊÊÇÇÍÌÊÉÆÍÂ {dêîzééââââîé ÊiÍ MO Êÿj~i ~{ÉÆÍÂ Ë ÊÇÍÎ~ÌÉÇÉÆÍÂÌÉÊ,%6 +% ~{Êÿ Â,%6 ÌÊÉ +% ~{É~{Ê

More information

96 7 1m =2 10 7 N 1A 7.1 7.2 a C (1) I (2) A C I A A a A a A A a C C C 7.2: C A C A = = µ 0 2π (1) A C 7.2 AC C A 3 3 µ0 I 2 = 2πa. (2) A C C 7.2 A A

96 7 1m =2 10 7 N 1A 7.1 7.2 a C (1) I (2) A C I A A a A a A A a C C C 7.2: C A C A = = µ 0 2π (1) A C 7.2 AC C A 3 3 µ0 I 2 = 2πa. (2) A C C 7.2 A A 7 Lorentz 7.1 Ampère I 1 I 2 I 2 I 1 L I 1 I 2 21 12 L r 21 = 12 = µ 0 2π I 1 I 2 r L. (7.1) 7.1 µ 0 =4π 10 7 N A 2 (7.2) magnetic permiability I 1 I 2 I 1 I 2 12 21 12 21 7.1: 1m 95 96 7 1m =2 10 7 N

More information

図 -2 測位方式の概念図 RTK-GPS: Real Time Kinematic GPS 2 図 D-GPS RTK-GPS cm 1ms GPS CDMA 巻 8 号情報処理 2002 年 8 月 - 2 -

図 -2 測位方式の概念図 RTK-GPS: Real Time Kinematic GPS 2 図 D-GPS RTK-GPS cm 1ms GPS CDMA 巻 8 号情報処理 2002 年 8 月 - 2 - 1 RTK-GPS 柳原 徳久 (株)日立製作所 n-yanagi@gm.merl.hitachi.co.jp 初本慎太郎 (株)日立産機システム hatsumoto-shintarou@ice.hitachi.co.jp 日本ではカーナビゲーションが広く普及しており 新車への装着率は約 30 に達している カーナビの位置検 出には GPS Global Positioning System が用いられていることはよく知られている

More information

,, 2. Matlab Simulink 2018 PC Matlab Scilab 2

,, 2. Matlab Simulink 2018 PC Matlab Scilab 2 (2018 ) ( -1) TA Email : ohki@i.kyoto-u.ac.jp, ske.ta@bode.amp.i.kyoto-u.ac.jp : 411 : 10 308 1 1 2 2 2.1............................................ 2 2.2..................................................

More information

応力とひずみ.ppt

応力とひずみ.ppt in yukawa@numse.nagoya-u.ac.jp 2 3 4 5 x 2 6 Continuum) 7 8 9 F F 10 F L L F L 1 L F L F L F 11 F L F F L F L L L 1 L 2 12 F L F! A A! S! = F S 13 F L L F F n = F " cos# F t = F " sin# S $ = S cos# S S

More information

Ë,, ÌÓ ÏÓÈ ÂÈ? ÚÓÚ, ÚÓÚ

Ë,, ÌÓ ÏÓÈ ÂÈ? ÚÓÚ, ÚÓÚ 001 1 002 3 003 3 004 4 005 5 006 7 007 7 008 7 009 8 010 Ë,, ÌÓ 8 011 10 9 012 10 013 10 014 11 015 12 016 ÏÓÈ 13 017 ÂÈ? 13 018 ÚÓÚ, ÚÓÚ 14 019 14 020 16 021 Í ÍÓÈ? 16 022 18 023 18 024 19 025 19 1992

More information

ロシア語便覧 1

ロシア語便覧 1 - -È - - -ÚÂÎ Û Ë±ÚÂÎ, ÔËÒ ±ÚÂÎ - apple ÒÂÍappleÂÚ ±apple, Ë ÎËÓÚÂ±Í apple flì ±apple, Ù apple ±Î ÒÚÓ±Î, ÒÚÓÎ ± αÒ, ÎÂ±Ò ; ÎÂÒ ±, ÎÂÒÓ± ÁÛ±, ÁÛ± ; ÁÛ±, ÁÛ Ó± -, -Ë ÒÚÓÎ ±, ÊÛappleÌ ±Î, ÏÛÁ±Ë, ÒÎÓ appleë±

More information

untitled

untitled 50cm 2500mm 300mm 15 CCD 15 100 1 2 3 4 23 SORA Kwak SeungJo 1 1.1 1995 20 2015 6 18 1931 1 2 3 2 ˆ 300mm 2500mm ˆ 2 1.2 WASP 1: 15 2048 2048 CCD 200mm 70 13 WASP 8 1.3 50cm 1 1: CCD 2: 1.4 MOST MOST 15

More information

2-工業会活動.indd

2-工業会活動.indd 工業会活動 ~SAE(Society of Automotive Engineers) 委員会参加報告 ~ 1. はじめに SAE RTCA Radio Technical Commission for Aeronautics ARINC Aeronautical Radio, Incorporated SAE RTCA ARINC FAA Federal Aviation Administration

More information

untitled

untitled 1 SS 2 2 (DS) 3 2.1 DS................................ 3 2.2 DS................................ 4 2.3.................................. 4 2.4 (channel papacity)............................ 6 2.5........................................

More information

準天頂衛星システムによって向上する ドローンの測位性能

準天頂衛星システムによって向上する ドローンの測位性能 準天頂衛星システムによって向上するドローンの測位性能 於平成 29 年 10 月 21 日日本航海学会第 137 回講演会宇宙航空研究会 AAI-GNSS 技術士事務所荒井修 1 1. 測位性能の向上 GPS (GNSS) 単独の性能を準天頂衛星システム (QZSS : Quasi-Zenith Satellite System) で向上 性能は 精度 (Accuracy) 測位結果の正しさ QZSSでは誤差補正データを提供

More information

<4D F736F F D2088CF88F589EF8E9197BF816991E596EC927C A2E646F63>

<4D F736F F D2088CF88F589EF8E9197BF816991E596EC927C A2E646F63> ÿj~ ~{ 大野竹田道路 ~{Êu ÊËu ÎÍÊ Êy Ê~ Ê~Êu}Ì ÐÑÒdÌÊh ~{Êu ~{Êu ~{ÊÂÊv{dÊÈÍÉu~{ÉÂ ÎzÉÈÉÎÈÊiÍ MO Êi ~{É ÆÍÂ ~{ÊÂÂÎÉÈÉÈÍÈÍÊÎÊ~ÈÂ ÊÎ~ÈÍÉÉÌÊÂdÊÂÊÈÍÇÉÎ ÉÈÉ~{ÉÆÍÂ ÌÉÂdyi ~Ëi ~É~ÈÍÍÇÉÊÍÍÂÓ ÒÒÖ ÐÇÈÍÂÈÌÈÌÊÉÊÇhÉÊÍÂ ~{

More information

(WP)

(WP) 1998 0 a b v g d je jo z i j k l m n o à á â ƒ ã ä å Ý Þ æ ç ˆ è é Š ê ë Œ ì í Ž î 1 ï p ð r ñ s ò t ó u ô f õ x ö ts t' ø ù ' ' š ú û y œ ü ' ý e ž þ ju Ÿ ß ja à, ê, ì, î, ò á, ã, ä, æ, é, ë, ï, ô, ö,,

More information

ƒsnsªf$o;ª ±Ž vf$o; Uûâ éf$o;ê &fgxo2nvô¾c"gõ /R=o^Ô¾C"GÕ ±Ž v Ô)"GÕâésâf$o; évâöá:o2øüîãá ãòá ùô f$ o;ê u%,âô G Ô Õ HÎ ÔµnZÕ Ñì ÔD[n Õ bg(fååøô Õ½ Š3

ƒsnsªf$o;ª ±Ž vf$o; Uûâ éf$o;ê &fgxo2nvô¾cgõ /R=o^Ô¾CGÕ ±Ž v Ô)GÕâésâf$o; évâöá:o2øüîãá ãòá ùô f$ o;ê u%,âô G Ô Õ HÎ ÔµnZÕ Ñì ÔD[n Õ bg(fååøô Õ½ Š3 1 Excel ( 1) Web (http://163.136.122.41/enquete/enquete.htm) 9 AHP x5 http://www.senshu-u.ac.jp/~thc0456/text/ 1995 1995 1995 S C 1995 2 1 4 1, 2 1, 2 1. 2. 3. 4. 1. 2. 3. 4. 5. ( XY 6. 6 9 AHP 4 AHP 0.15

More information

2-工業会活動.indd

2-工業会活動.indd 工業会活動 1. はじめに ICAO International Civil Aviation Organization Aviation System Block Upgrades ASBU ATM Air Traffic Management ICAO ATM Global Harmonization ICAO SJAC ICCAIA International Coordinating Council

More information

2 0.1 Introduction NMR 70% 1/2

2 0.1 Introduction NMR 70% 1/2 Y. Kondo 2010 1 22 2 0.1 Introduction NMR 70% 1/2 3 0.1 Introduction......................... 2 1 7 1.1.................... 7 1.2............................ 11 1.3................... 12 1.4..........................

More information

完成卒論.PDF

完成卒論.PDF LAN 4 9920449 2 0 LAN Bluetooth LAN 1 LAN LAN LAN LAN 2 LAN Bluetooth LAN Bluetooth 3 Bluetooth 4 Bluetooth 5 Bluetooth Bluetooth 6 LAN Bluetooth LAN LocalAreaNetwork 1 LAN LAN LAN LAN Ethernet Ethernet

More information

c 2009 i

c 2009 i I 2009 c 2009 i 0 1 0.0................................... 1 0.1.............................. 3 0.2.............................. 5 1 7 1.1................................. 7 1.2..............................

More information

<4D F736F F D2088CF88F589EF8E9197BF81698CA28E9490E78DCE816A2D312E646F63>

<4D F736F F D2088CF88F589EF8E9197BF81698CA28E9490E78DCE816A2D312E646F63> ÿj~ ~{ 犬飼千歳道路 Š~{Êu ÊËu ÎÍÊ Êy Ê~ Ê~Êu}Ì ÐÑÒdÌÊh Š~{Êu ~{Êu ~{ÊÊv{dÊÈÍÉu~{ÉÂ ÎzÉÈÉÎÈÊiÍ MO Êi ~{ÉÆ ÍÂ ~{ÊÂÂÎÉÈÉÈÍÈÍÊÎÊ~ÈÂ ÊÎ~ÈÍÉÉÌÊÂdÊÂÊÈÍÇÉÎ ÉÈÉ~{ÉÆÍÂ ÌÉÂdyi ~Ëi ~É~ÈÍÍÇÉÊÍÍÂÓ ÒÒÖ ÐÇÈÍÂÈÌÈÌÊÉÊÇhÉÊÍÂ Ÿe

More information

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e 7 -a 7 -a February 4, 2007 1. 2. 3. 4. 1. 2. 3. 1 Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e z

More information

sikepuri.dvi

sikepuri.dvi 2009 2 2 2. 2.. F(s) G(s) H(s) G(s) F(s) H(s) F(s),G(s) H(s) : V (s) Z(s)I(s) I(s) Y (s)v (s) Z(s): Y (s): 2: ( ( V V 2 I I 2 ) ( ) ( Z Z 2 Z 2 Z 22 ) ( ) ( Y Y 2 Y 2 Y 22 ( ) ( ) Z Z 2 Y Y 2 : : Z 2 Z

More information

Electronic Navigation Research Institute GBAS の現状と課題 ( 独 ) 電子航法研究所通信 航法 監視領域 藤井直樹

Electronic Navigation Research Institute GBAS の現状と課題 ( 独 ) 電子航法研究所通信 航法 監視領域 藤井直樹 Electronic Navigation Research Institute GBAS の現状と課題 ( 独 ) 電子航法研究所通信 航法 監視領域 藤井直樹 fujii@enri.go.jp 発表内容について GBASの概要 電子研 GBAS テストベットの概要 機上システムの概要 世界におけるGBASの現状 電子研における研究の現状 実用化への課題 インテグリティとは インテグリティと電離層嵐について

More information

128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds

128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds 127 3 II 3.1 3.1.1 Φ(t) ϕ em = dφ dt (3.1) B( r) Φ = { B( r) n( r)}ds (3.2) S S n( r) Φ 128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds

More information

目次

目次 3.8 航法メッセージ 3.8.1 GPS と QZSS 本項では GPS の航法メッセージ (L1, L2, L5) をまとめると共に QZSS メッセージの GPS からの差異についてもまとめている QZSS の L1 レガシー (C/A) 航法メッセージ及び L2 航法メッセージは ICD-GPS-2 00E に L5 航法メッセージは IS-GPS-705A に準拠して 可能な限り GPS

More information

衛星軌道情報について! アルマナック : ケプラーによる6 軌道要素に基づいて作成されたもの! エフェメリス :6 軌道要素 摂動等の影響を考慮して作成されたもの! 精密軌道暦 : エフェメリスは数箇所のマスターコントロール局のデータより作成されているが 精密軌道暦は数百箇所に及ぶモニター局のデータ

衛星軌道情報について! アルマナック : ケプラーによる6 軌道要素に基づいて作成されたもの! エフェメリス :6 軌道要素 摂動等の影響を考慮して作成されたもの! 精密軌道暦 : エフェメリスは数箇所のマスターコントロール局のデータより作成されているが 精密軌道暦は数百箇所に及ぶモニター局のデータ GPS 衛星よりデータ受信後の 測位計算方法について! 衛星軌道情報の取得とその利用について! 衛星軌道情報からの衛星位置算出方法について! 航法メッセージの各種補正データについて! 単独測位による位置 時刻補正含む 計算方法について! 受信機の速度及び周波数ずれの算出方法について? 衛星軌道情報について! アルマナック : ケプラーによる6 軌道要素に基づいて作成されたもの! エフェメリス :6

More information

<4D F736F F D2092B28DB882C982C282A282C42E646F63>

<4D F736F F D2092B28DB882C982C282A282C42E646F63> Íû Ñ ÐÑw x ÌÆÇÇ ÇÊÊ ÉÈÉÃÑ ÐÑwà v Ê ÉÇÂdvÊwÎxÇiÊ vèéìêéèâ Ñ ÐÑwÊËÊÊÎwÈÂÈËÉÊÊÆÇ ÍËÊfuÊ~ÎËÊÍÇÊÈÍÇÉÂvw ÊÉÌÊyÎÍÇÉÎÉÈÉÆÌÈ ÇÊwÊÂÇÊÎÿÉfÊÈÍvwÉÈÉ vwêêêuvwîuèâéêvèíéwéâéê ÎyÉÈ ÍÂÇÉÿÊvwÉÈ ÎÂsÌÊÂÆÍÆÊgyÉÈÉÇÈÉÆÉÉÇÍÊ

More information

6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m f 4

6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m f 4 35-8585 7 8 1 I I 1 1.1 6kg 1m P σ σ P 1 l l λ λ l 1.m 1 6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m

More information

2-工業会活動.indd

2-工業会活動.indd ~ATACCS2013 及び RTCA Global Aviation Symposium 参加報告 ~ 1. はじめに 23 11 25 1 ICAO International Civil Aviation Organization Aviation System Block Upgrades ASBU ATM Air Traffic Management ATACCS2013 Application

More information

1990 IMO 1990/1/15 1:00-4:00 1 N N N 1, N 1 N 2, N 2 N 3 N 3 2 x x + 52 = 3 x x , A, B, C 3,, A B, C 2,,,, 7, A, B, C

1990 IMO 1990/1/15 1:00-4:00 1 N N N 1, N 1 N 2, N 2 N 3 N 3 2 x x + 52 = 3 x x , A, B, C 3,, A B, C 2,,,, 7, A, B, C 0 9 (1990 1999 ) 10 (2000 ) 1900 1994 1995 1999 2 SAT ACT 1 1990 IMO 1990/1/15 1:00-4:00 1 N 1990 9 N N 1, N 1 N 2, N 2 N 3 N 3 2 x 2 + 25x + 52 = 3 x 2 + 25x + 80 3 2, 3 0 4 A, B, C 3,, A B, C 2,,,, 7,

More information

Microsoft Word - p2-11堀川先生_紀要原稿_ final.doc

Microsoft Word - p2-11堀川先生_紀要原稿_ final.doc u 0Q w ÎÈÉg fêf 2008 uê Êfu ÉÈÉÆÍÌÊÊÊÇÊ ÃuwÊ ÃÉÃÊfÃÇÆÍÂÇÍÊ ~ÈÉ ÎÈÍÇÉÇÍÇ ÈÍÍÇ ÎÈÍÉÊÊÆÆÆÇÉÇÊvxÊÆÂ É ÆÆ ÌyÎÈÍÉÇÉÊÇ ÌyÎÈÍÿ~ÊÔÖÑÑÉ ÈÇÉuÊÈÌÈÌÊÊÑÐÖÎg fèíçéçuéæíâèíêí ÉÉ ÊÃÎÆÃÎÆ ÌÉÆÊÌÉÇÍÍÆÊÊÍÂ ÊÊ ÈÉ Ãfu ÃÊÊ 1

More information

(4) P θ P 3 P O O = θ OP = a n P n OP n = a n {a n } a = θ, a n = a n (n ) {a n } θ a n = ( ) n θ P n O = a a + a 3 + ( ) n a n a a + a 3 + ( ) n a n

(4) P θ P 3 P O O = θ OP = a n P n OP n = a n {a n } a = θ, a n = a n (n ) {a n } θ a n = ( ) n θ P n O = a a + a 3 + ( ) n a n a a + a 3 + ( ) n a n 3 () 3,,C = a, C = a, C = b, C = θ(0 < θ < π) cos θ = a + (a) b (a) = 5a b 4a b = 5a 4a cos θ b = a 5 4 cos θ a ( b > 0) C C l = a + a + a 5 4 cos θ = a(3 + 5 4 cos θ) C a l = 3 + 5 4 cos θ < cos θ < 4

More information

II 1 3 2 5 3 7 4 8 5 11 6 13 7 16 8 18 2 1 1. x 2 + xy x y (1 lim (x,y (1,1 x 1 x 3 + y 3 (2 lim (x,y (, x 2 + y 2 x 2 (3 lim (x,y (, x 2 + y 2 xy (4 lim (x,y (, x 2 + y 2 x y (5 lim (x,y (, x + y x 3y

More information

ロシア人の名前

ロシア人の名前 10 12 15 18:35 19:15 19:30 19:40 19:50 ðàñêîëîòü îäèîí îìàíû àñêîëüíèêîâ P äàí åæäàí Šðàñ åêðàñ àéäþí îëüøîé ðåòüßê Œîðîç îëê ûê Šîò îðîáåé 862 988 (3/15) (3/15) (3/16) (3/17) (3/18) (3/19 3/22) 18 25

More information

B. 41 II: 2 ;; 4 B [ ] S 1 S 2 S 1 S O S 1 S P 2 3 P P : 2.13:

B. 41 II: 2 ;; 4 B [ ] S 1 S 2 S 1 S O S 1 S P 2 3 P P : 2.13: B. 41 II: ;; 4 B [] S 1 S S 1 S.1 O S 1 S 1.13 P 3 P 5 7 P.1:.13: 4 4.14 C d A B x l l d C B 1 l.14: AB A 1 B 0 AB 0 O OP = x P l AP BP AB AP BP 1 (.4)(.5) x l x sin = p l + x x l (.4)(.5) m d A x P O

More information

利用実証への期待 *情報化施工への適用に向けて*

利用実証への期待 *情報化施工への適用に向けて* 第 8 回衛星測位と地理空間情報フォーラム 利用実証への期待 - 情報化施工への適用に向けて - 2010 年 9 月 21 日 日本大学理工学部 社会交通工学科 佐田達典 発表内容 1. 情報化施工における RTK 測位 2. 準天頂衛星システムを導入した場合の RTK 測位シミュレーション 3. LEX 信号受信による静止時及び低速度 移動時の測位特性に関する基礎実験 2 1. 情報化施工と RTK

More information

ú r(ú) t n [;t] [;t=n]; (t=n; 2t=n]; (2t=n; 3t=n];:::; ((nä 1)t=n;t] n t 1 (nä1)t=n e Är(t)=n (nä 2)t=n e Är(t)=n e Är((nÄ1)t=n)=n t e Är(t)=n e Är((n

ú r(ú) t n [;t] [;t=n]; (t=n; 2t=n]; (2t=n; 3t=n];:::; ((nä 1)t=n;t] n t 1 (nä1)t=n e Är(t)=n (nä 2)t=n e Är(t)=n e Är((nÄ1)t=n)=n t e Är(t)=n e Är((n 1 1.1 ( ) ö t 1 (1 +ö) Ä1 2 (1 +ö=2) Ä2 ö=2 n (1 +ö=n) Än n t (1 +ö=n) Änt t nt n t lim (1 n!1 +ö=n)änt = n!1 lim 2 4 1 + 1 n=ö! n=ö 3 5 Äöt = î lim s!1 í 1 + 1 ì s ï Äöt =e Äöt s e eëlim s!1 (1 + 1=s)

More information

我々は医療の質の向上に努め 人 ~ 教重量を高めることによって 全人的医療を目指す,~---..--.?' W 喝 - ~ 血液楠体量 40~ Òî»» p» å š â» š â â» åýâš âš o Ý ½ÝŽ½ ½ ½ Ý m Àåå»

More information

A1304T-…K…C…h

A1304T-…K…C…h A1304T 2 A1304T A1304T A1304T 3 23 63 41 57 4 LN Zb Zz 29 @? Zb Zz 32 5 PO 14 <

More information

II 2 II

II 2 II II 2 II 2005 yugami@cc.utsunomiya-u.ac.jp 2005 4 1 1 2 5 2.1.................................... 5 2.2................................. 6 2.3............................. 6 2.4.................................

More information

73

73 73 74 ( u w + bw) d = Ɣ t tw dɣ u = N u + N u + N 3 u 3 + N 4 u 4 + [K ] {u = {F 75 u δu L σ (L) σ dx σ + dσ x δu b δu + d(δu) ALW W = L b δu dv + Aσ (L)δu(L) δu = (= ) W = A L b δu dx + Aσ (L)δu(L) Aσ

More information

š š o š» p š î å ³å š š n š š š» š» š ½Ò š ˆ l ˆ š p î å ³å š î å» ³ ì š š î å š o š š ½ ñ š å š š n n å š» š m ³ n š

š š o š» p š î å ³å š š n š š š» š» š ½Ò š ˆ l ˆ š p î å ³å š î å» ³ ì š š î å š o š š ½ ñ š å š š n n å š» š m ³ n š š š o š» p š î å ³å š š n š š š» š» š ½Ò š ˆ l ˆ š p î å ³å š î å» ³ ì š š î å š o š š ½ ñ š å š š n n å š» š m ³ n š n š p š š Ž p í š p š š» n É» š å p š n n š û o å Ì å š ˆ š š ú š p š m å ìå ½ m î

More information

Keysight Technologies GPSレシーバ・テスト

Keysight Technologies GPSレシーバ・テスト Keysight Technologies GPS Application Note 25 37500 12.5 2 300 1 6 3 4 5 1500 30 (TLM) 30 0.6 8 16 6 16 7 (HOW) 30 0.6 TOW (Time of week) ID 6 ...3...3 GPS...4 GPS A-GPS...4 GPS...4 GPS...4 GPS...5 GPS...5

More information

<4D F736F F D F8DE98BCA8CA797A78FAC8E9988E397C3835A E815B82CC8A E646F63>

<4D F736F F D F8DE98BCA8CA797A78FAC8E9988E397C3835A E815B82CC8A E646F63> s tâââoçæ #NQPIICRŠ~ ÊÈÍŠ~ Í d ÊÍÍhh Š~Š~ Ñ Ñ Â s tââoçæíâ u gzsîæg~ Â Ñ Ñ s Ê Â tââoçæíâ Â Ñ Ñ ÊÉ Ñ ÔÑÏÕ Â tâââoçæ NQPIICRŠ~ ÊÈÍKPVGTPCN u Í VTCEVKQPÎÆÉhh s dâ Ñ Ñ ÿ Ñ Ñ ÂÂys ~ÎsÈÉ gsh hg ÂÂoÇÆÍÂt

More information

0304_ふじみ野地福_本編_01

0304_ふじみ野地福_本編_01  à uã Æl¾ à í{ä  e Ê r» ± à à Š ÃÁ Âà ÃÄÁ xtr e  Ãà à í ÂÆ e rtr Áx e Ætr etr µ»æ eº lá Ãû Á ex Ä tr exí»l éîð ÄƱ «d ex z tr z ex z e e tr e z e z ex éîð îãëù Ôé tr exí» træ z l º z Â í Š Ê }

More information

Microsoft Word - −C−…−gŁš.doc

Microsoft Word - −C−…−gŁš.doc ÿj~ Êu ÊËu ÎÍÊ Êy Ê~ Ê~Êu}Ì ÐÑÒdÌÊh ~{ 3 1 Êu ÿj~ Êu ~Êÿj~ ÊÂÇÍÊiÍ MO Ê{dÉÆÍ ÂÊÊ ÊuÊÎdyÉÆÍ {dêâi ~ +%ÌuËÊÎÐÑÑ~{ÉÆÍ ÉÎˈÊuÊ{dÉÆÍÂÌÉÂ~~ÍÊdÊÊÌ ÂvÇ ÉÆÍÇÉÇÍ ÊÊ~{ÉÉÌ ÎÆ{dÉÊÉÉÆÍ Êu u ÿj~ ÊÊ~ÊÊÂÇ~ÉÆÍÂdÊÊÇ

More information

変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy,

変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy, 変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy, z + dz) Q! (x + d x + u + du, y + dy + v + dv, z +

More information

ÍÂ~ÊÂ ÊÊ ÇÍ ÌÉÊÊÌÊÇÍÂÈÍ Ê ÊÌÊÊÍÉÉÉÆÉÉÍÆÂsÊÂ ÌÉÊ~ÊsÊÆÇ ÉÉÊsÆÍÆÊÉ~ÇÈÉÇÉÉÊsÉÆÆjÇÆÇÉÉÉÆÉÉÍ ÆÂ ÊÊÍÉÂÇÍÌÉÊsÊÊÇÉÂÊÍÍÉwÊÊÂÌÉ t ÊwÎÔ ÑÊÔÖÏÑ Ö Ñ ÑÒÔÇ ÈÍÍÇÉÊÊÍÂÇ

ÍÂ~Ê ÊÊ ÇÍ ÌÉÊÊÌÊÇÍÂÈÍ Ê ÊÌÊÊÍÉÉÉÆÉÉÍÆÂsÊ ÌÉÊ~ÊsÊÆÇ ÉÉÊsÆÍÆÊÉ~ÇÈÉÇÉÉÊsÉÆÆjÇÆÇÉÉÉÆÉÉÍ Æ ÊÊÍÉÂÇÍÌÉÊsÊÊÇÉÂÊÍÍÉwÊÊÂÌÉ t ÊwÎÔ ÑÊÔÖÏÑ Ö Ñ ÑÒÔÇ ÈÍÍÇÉÊÊÍÂÇ ƒêæçídéd ƒêd ÇÇÉÊÂÉv~ÈÍà ƒêdãîâêíéìãdwæíæê uãé ~ÉÇÍÉÌÊ ÊyÎÆÉ ƒêuâ~îwèéæ ƒêd xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ƒêu xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ƒêë

More information

入試の軌跡

入試の軌跡 4 y O x 4 Typed by L A TEX ε ) ) ) 6 4 ) 4 75 ) http://kumamoto.s.xrea.com/plan/.. PDF) Ctrl +L) Ctrl +) Ctrl + Ctrl + ) ) Alt + ) Alt + ) ESC. http://kumamoto.s.xrea.com/nyusi/kumadai kiseki ri i.pdf

More information

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0 1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45

More information

ロシア語ハラショー

ロシア語ハラショー 1999 èìñß ïî-ðóññêè 25 26 26 29 30 31 32 33 35 36 10 10 11 36 37 38 39 12 14 40 41 16 16 18 19 21 21 22 22 23 24 1 à á â ƒ ã ä å Ý Þ æ ç ˆ è a b v g d je jo z i é j Š ê k ë l Œ ì m í n Ž î o 2 ï p ð r

More information

‰IŠv9802 (WP)

‰IŠv9802 (WP) 30 197954 22001983 ìåëóéþåóëéå ÍÉÎÉÍÕÍÙ ÓÏ ÒÅÍÅÎÎÏÇÏ ÒÕÓÓËÏÇÏ ÑÚÙËÁ, ÒÅÄ...íÏÒËÏ ËÉÎÁ, "òõóóëéê ÑÚÙË", íïóë Á, 1985 ëáòôéîîï-óéôõáôé ÎÙÊ ÓÌÏ ÁÒØ ÒÕÓÓËÏÇÏ ÑÚÙËÁ, à.. ÁÎÎÉËÏ É ÄÒ., "òõóóëéê ÑÚÙË", íïóë Á,

More information

Microsoft Word - p12-21紀要論文_ジョさん_0908.doc

Microsoft Word - p12-21紀要論文_ジョさん_0908.doc u 0Q w Ê ÊG ÖÔÖÆÍË Ê ~ÎÊ G Ê Ê Ê uêéìê Ê Ê ~ Ê yîêf ÈÉÌÊÉÆÍÂÈÊÉÌ Ê ÉÆÉ ÖÔÖÊ ÉÈÉ ~ uì Ê ~ y Îf È Ê ÉÈÉ Ç ÊsÉÉÆÍ uêéæé uèéâìé u ÈËÇÆÇÉÇÊ Š ÎÈ ÊÎ ÍÇÊÈÉÂ 2011 8 Ê Ê Ç 3 765 519 10,529 Ç 587 ÆÍ 1) Â ÊÆÆÉ ÊÉÊÍÃ

More information

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k 63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5

More information

<4D F736F F D F8DE98BCA8CA797A78FAC8E9988E397C3835A E815B82CC8A E646F63>

<4D F736F F D F8DE98BCA8CA797A78FAC8E9988E397C3835A E815B82CC8A E646F63> ˆ Ñ Ñ vìéê d Ê ÍÉÂÊÊÊ ÆÂ Æ Ç ÇÂÊ ~ÌÈÉ ÇÉÂÿ Â ss ÊÌ Ë sê~ Ê ÆÂ ~ÌÊÎÌÈÊÈÌÂ ÊÂ Ê ~ÊÉÆÉÊÂ ÇÉÉ ÇÈÂ Â Â Â xâîööð ÊÇÈÍÉÊÉÉÂÇÊÉÌÂÉÌÊÉÌÊÂ Ê Ê u Ç ÌÉÉÇÉÂ Ã ÃÊ ÈÂ ÊÆÇÍÃw ÃÎ v Êv ÊÑ Ñ vêî Í}ÌÂ Ã ÃÇÍÂ Ê vê u Ç ÇÆÉÊÎ

More information

UWB a) Accuracy of Relative Distance Measurement with Ultra Wideband System Yuichiro SHIMIZU a) and Yukitoshi SANADA (Ultra Wideband; UWB) UWB GHz DLL

UWB a) Accuracy of Relative Distance Measurement with Ultra Wideband System Yuichiro SHIMIZU a) and Yukitoshi SANADA (Ultra Wideband; UWB) UWB GHz DLL UWB a) Accuracy of Relative Distance Measurement with Ultra Wideband System Yuichiro SHIMIZU a) and Yukitoshi SANADA (Ultra Wideband; UWB) UWB GHz DLL UWB (DLL) UWB DLL 1. UWB FCC (Federal Communications

More information

<4D F736F F D20835E A83415F967B95B631322E348B65926E8F4390B381698DC58F49816A>

<4D F736F F D20835E A83415F967B95B631322E348B65926E8F4390B381698DC58F49816A> s ÊÆÇÍ ÊwŠÉ }Ê u Ê ÈÍ Ê ÑÐÑ ˆÎ ~ÈÉÆÇÆÆÉ i Â Ê ÉÆÍ Â s ÉÆÍ i  ÊÊÊ Ö ÔÖÊ ÈÉ h Î ÈÂÈÍÊ uê ÆÍË dh Ê ÎsÆÇ ÉÇ ÉÊÉÉÆÍ ÈÊÊÇÉÌ Ê~ Ê ÆÂÇÍÌÉ ÇeÇÍÉÆÉ i Êh Ê ÆÂ Ê ÉÈÉ Î ÈÍ Ê Ç uèí ÉÆÍ s Î ÆÍ Ê Ê Ç ÉÊÇ Çs Ð ÓÑÎ

More information

Microsoft Word - TR4_Effort.doc

Microsoft Word - TR4_Effort.doc ÔÖÑÑÎÉÈÍ ODC ÎÆÉ ÿ js ÊÈÌÊ ÑÔÒÏÏÎ ÊÆÇÍ ÓÐ ÊÊ ÐÑÒ~Ì~ÊÊÿÉÉÆÍ ÈÇÉ ÌhÇÉ ÊÎwË ÈÊÉÊ ÎÍÇÊÈÍÌ ÇÈÍÉÆÍ ÊÇÊ t~ ÉÈÉ ÕÑ Í Ð ÒÏ ÐÕÑÊÊ ÇÍÈÍÇ 1&%1TVJQIQPCN &GHGEV%NCUUKHKECVKQP Š=?Ê ÊÉÆÉ Î ÆÇÉÇÊŠÊŠÈ ŠÊ ÊÍÊÎ Ìh ÉwËÍÇÉÉ

More information

熊本県数学問題正解

熊本県数学問題正解 00 y O x Typed by L A TEX ε ( ) (00 ) 5 4 4 ( ) http://www.ocn.ne.jp/ oboetene/plan/. ( ) (009 ) ( ).. http://www.ocn.ne.jp/ oboetene/plan/eng.html 8 i i..................................... ( )0... (

More information

S-6.indd

S-6.indd Structural Health Monitoring with Fiber Optic Deformation Sensor ( SOFO ) SOFO SOFO ( SOFO V ) ( SOFO Dynamic ) 2 SOFO The fiber optic deformation sensor, SOFO, has excellent characteristics such as ease

More information

<4D F736F F D208B7B8DE890BC5F90E096BE8E9197BF5F2D F4390B32E646F63>

<4D F736F F D208B7B8DE890BC5F90E096BE8E9197BF5F2D F4390B32E646F63> 一般国道 10 号 宮崎西バイパス ÿj~ uóïóñêu ÊËu ÎÌÇÍÊ Ê eêu Êv wêæí ÊvÊu vêu uvêèív ~{ 1 ÿj~uóïóñêu ÿj~êu ÿj~êâîzéè Î ÈÂ ÊiÍ MOÊud~{ÉÆÍÂÊÎ dèí{dêâêuëuî~èíuê{ déæíâêââîèíîééæíâ ÿj~uóïóñêu u uóïóñêâuê~êuîíâ~ê ÉÎÈÍÇÉÎÊsÉÉÌÊÉÆÍÂ

More information

29

29 9 .,,, 3 () C k k C k C + C + C + + C 8 + C 9 + C k C + C + C + C 3 + C 4 + C 5 + + 45 + + + 5 + + 9 + 4 + 4 + 5 4 C k k k ( + ) 4 C k k ( k) 3 n( ) n n n ( ) n ( ) n 3 ( ) 3 3 3 n 4 ( ) 4 4 4 ( ) n n

More information

0 s T (s) /CR () v 2 /v v 2 v = T (jω) = + jωcr (2) = + (ωcr) 2 ω v R=Ω C=F (b) db db( ) v 2 20 log 0 [db] (3) v R v C v 2 (a) ω (b) : v o v o =

0 s T (s) /CR () v 2 /v v 2 v = T (jω) = + jωcr (2) = + (ωcr) 2 ω v R=Ω C=F (b) db db( ) v 2 20 log 0 [db] (3) v R v C v 2 (a) ω (b) : v o v o = RC LC RC 5 2 RC 2 2. /sc sl ( ) s = jω j j ω [rad/s] : C L R sc sl R 2.2 T (s) ( T (s) = = /CR ) + scr s + /CR () 0 s T (s) /CR () v 2 /v v 2 v = T (jω) = + jωcr (2) = + (ωcr) 2 ω v R=Ω C=F (b) db db(

More information

ï ñ ö ò ô ó õ ú ù n n ú ù ö ò ô ñ ó õ ï

ï ñ ö ò ô ó õ ú ù n n ú ù ö ò ô ñ ó õ ï ï ñ ö ò ô ó õ ú ù n n ú ù ö ò ô ñ ó õ ï B A C Z E ^ N U M G F Q T H L Y D V R I J [ R _ T Z S Y ^ X ] [ V \ W U D E F G H I J K O _ K W ] \ L M N X P S O P Q @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ r r @ @

More information

No δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i x j δx j (5) δs 2

No δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i x j δx j (5) δs 2 No.2 1 2 2 δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i δx j (5) δs 2 = δx i δx i + 2 u i δx i δx j = δs 2 + 2s ij δx i δx j

More information

( )

( ) 18 10 01 ( ) 1 2018 4 1.1 2018............................... 4 1.2 2018......................... 5 2 2017 7 2.1 2017............................... 7 2.2 2017......................... 8 3 2016 9 3.1 2016...............................

More information

i 18 2H 2 + O 2 2H 2 + ( ) 3K

i 18 2H 2 + O 2 2H 2 + ( ) 3K i 18 2H 2 + O 2 2H 2 + ( ) 3K ii 1 1 1.1.................................. 1 1.2........................................ 3 1.3......................................... 3 1.4....................................

More information

( ) ( )

( ) ( ) 20 21 2 8 1 2 2 3 21 3 22 3 23 4 24 5 25 5 26 6 27 8 28 ( ) 9 3 10 31 10 32 ( ) 12 4 13 41 0 13 42 14 43 0 15 44 17 5 18 6 18 1 1 2 2 1 2 1 0 2 0 3 0 4 0 2 2 21 t (x(t) y(t)) 2 x(t) y(t) γ(t) (x(t) y(t))

More information

< F31332D817992B48DC A8CCB8E9F81458CA28E942E6A7464>

< F31332D817992B48DC A8CCB8E9F81458CA28E942E6A7464> 一般国道 10 号 戸次犬飼拡幅 ŠÊu ÊËu ÎÍÊ Êy y Ê~ Ê~Êu}Ì ÐÑÒdÌÊh ŠÊu ÿj~ Êu ÿj~ Ê ÎzÉÈ ÎÈÉ ÊiÍ Êud~{ÉÆ ÍÂÊ uêiîí ÉuÊ{dÉÆÍ ËÉÇÆÊÇÆ ÇÊÆÉŠÊ xgdésèéæ ÎzÉÉÆÍÂzÎÓÏÓÑ ÎŠÓÏÓÑ ÉÈÂÉÎËuÊ ÉÆÍ v Ê Ó ÐÎÊ~Ê ÊÍÍÇm ÈÇÂÌÉÂ~ÌÊ~ÇÈÍÍÊÊÂ

More information

XXXXXX XXXXXXXXXXXXXXXX

XXXXXX XXXXXXXXXXXXXXXX Å E D Ë@ÌÊè½ÌÄ\ { î{ t½ î. î G } b } b ÏäÝßØo 9 "Ä ¾ iž ¾ ¼ÀÀ Ð ÏäÝßØo 9 "Ä ¾ iž ¾ ¼ÀÀ Ð z z Þ Þ ÏäÝßØo : " ¾ ~C iž ò 0@ÀÀ Ð ÏäÝßØo : " ¾ ~C iž ò 0@ÀÀ Ð ÏäÝßØo ; " v ¼ÀÀ Ð ÏäÝßØo ; " v ¼ÀÀ Ð z z z z Þ

More information

9 1. (Ti:Al 2 O 3 ) (DCM) (Cr:Al 2 O 3 ) (Cr:BeAl 2 O 4 ) Ĥ0 ψ n (r) ω n Schrödinger Ĥ 0 ψ n (r) = ω n ψ n (r), (1) ω i ψ (r, t) = [Ĥ0 + Ĥint (

9 1. (Ti:Al 2 O 3 ) (DCM) (Cr:Al 2 O 3 ) (Cr:BeAl 2 O 4 ) Ĥ0 ψ n (r) ω n Schrödinger Ĥ 0 ψ n (r) = ω n ψ n (r), (1) ω i ψ (r, t) = [Ĥ0 + Ĥint ( 9 1. (Ti:Al 2 O 3 ) (DCM) (Cr:Al 2 O 3 ) (Cr:BeAl 2 O 4 ) 2. 2.1 Ĥ ψ n (r) ω n Schrödinger Ĥ ψ n (r) = ω n ψ n (r), (1) ω i ψ (r, t) = [Ĥ + Ĥint (t)] ψ (r, t), (2) Ĥ int (t) = eˆxe cos ωt ˆdE cos ωt, (3)

More information

Microsoft PowerPoint tokura.pptx

Microsoft PowerPoint tokura.pptx 国産の衛星測位システムによる 3 衛星測位 海事システム工学科情報コース 8143 土倉弘子 背景と目的 現在の衛星測位システム 日本の衛星測位システム 測位計算の理論と概要 3 衛星測位計算 座標系 衛星配置 実験 静止実験 移動体実験 まとめ 目次 1 背景と目的 衛星測位システムの普及 個人利用から社会インフラ 国民生活に 必要不可欠 GNSS (Global Navigation Satellite

More information

II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka )

II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka ) II 214-1 : October 2, 214 Version : 1.1 Kawahira, Tomoki TA (Kondo, Hirotaka ) http://www.math.nagoya-u.ac.jp/~kawahira/courses/14w-biseki.html pdf 1 2 1 9 1 16 1 23 1 3 11 6 11 13 11 2 11 27 12 4 12 11

More information

.w..01 (1-14)

.w..01 (1-14) ISSN 0386-7617 Annual Research Reports No.33, 2009 THE FOUNDATION FOR GROWTH SCIENCE ön é

More information

GNSS satellite or Quasar 10m [5] (n 1) 10 6 = K 1 ( P d T ) + K 2( P v T ) + K 3( P v T 2 ) (2) O 1 S G Earth Atmosphere [4] (ray bending) 1 S

GNSS satellite or Quasar 10m [5] (n 1) 10 6 = K 1 ( P d T ) + K 2( P v T ) + K 3( P v T 2 ) (2) O 1 S G Earth Atmosphere [4] (ray bending) 1 S - - ( ) A Software Package Development for Estimating Atmospheric Path Delay based on JMA Numerical Weather Prediction Model Ryuichi ICHIKAWA (KASHIMA SPACE RESEARCH CENTER, NICT) Key words: GNSS, VLBI,

More information

Keysight Technologies LTE規格に準拠したトランスミッタのACLR測定

Keysight Technologies LTE規格に準拠したトランスミッタのACLR測定 Keysight Technologies LTE ACLR Application Note IP LTE 3GPP LTE LTE 1 LTE ACLR LTE Keysight X PXA/MXA/EXA LTE Keysight MXG LTE LTERF LTE 6 1.4 20 MHz OFDMA SC-FDMA 2 FDD TDD MIMO LTE CDMA RF LTE 1 LTE

More information

資料1-3

資料1-3 WPT (2017) ( ) *JST Center of Innovation ( 13- ) Last 5X * 16 8, 15 7, 14 6 METLAB 16 20, 15 18 WPT * IEEE MTTS Wireless Power Transfer Conference ( 11-, ) MTTS TC-26 (Wireless Energy Transfer and Conversion

More information

1 12 ( )150 ( ( ) ) x M x 0 1 M 2 5x 2 + 4x + 3 x 2 1 M x M 2 1 M x (x + 1) 2 (1) x 2 + x + 1 M (2) 1 3 M (3) x 4 +

1 12 ( )150 ( ( ) ) x M x 0 1 M 2 5x 2 + 4x + 3 x 2 1 M x M 2 1 M x (x + 1) 2 (1) x 2 + x + 1 M (2) 1 3 M (3) x 4 + ( )5 ( ( ) ) 4 6 7 9 M M 5 + 4 + M + M M + ( + ) () + + M () M () 4 + + M a b y = a + b a > () a b () y V a () V a b V n f() = n k= k k () < f() = log( ) t dt log () n+ (i) dt t (n + ) (ii) < t dt n+ n

More information

note4.dvi

note4.dvi 10 016 6 0 4 (quantum wire) 4.1 4.1.1.6.1, 4.1(a) V Q N dep ( ) 4.1(b) w σ E z (d) E z (d) = σ [ ( ) ( )] x w/ x+w/ π+arctan arctan πǫǫ 0 d d (4.1) à ƒq [ƒg w ó R w d V( x) QŽŸŒ³ džq x (a) (b) 4.1 (a)

More information

高校生の就職への数学II

高校生の就職への数学II II O Tped b L A TEX ε . II. 3. 4. 5. http://www.ocn.ne.jp/ oboetene/plan/ 7 9 i .......................................................................................... 3..3...............................

More information

<4D F736F F F696E74202D20322D32305F8F B AF4C312D E28BAD904D8D8682CC474C4F4E CE899E205B8CDD8AB783828

<4D F736F F F696E74202D20322D32305F8F B AF4C312D E28BAD904D8D8682CC474C4F4E CE899E205B8CDD8AB783828 第 14 回電子航法研究所研究発表会 June 6, 2014 20. 準天頂衛星 L1-SAIF 補強信号の GLONASS 対応 航法システム領域坂井丈泰 星野尾一明 伊藤憲 June 2014 - Slide 1 はじめに 準天頂衛星システム (QZSS): 準天頂衛星軌道上の測位衛星による衛星測位サービス GPS 補完信号に加え 補強信号を放送 補強信号 :L1-SAIF LEX の 2 種類

More information

1 [ 1] (1) MKS? (2) MKS? [ 2] (1) (42.195k) k 2 (2) (3) k/hr [ 3] t = 0 10 ( 1 velocity [/s] 8 4 O

1 [ 1] (1) MKS? (2) MKS? [ 2] (1) (42.195k) k 2 (2) (3) k/hr [ 3] t = 0 10 ( 1 velocity [/s] 8 4 O : 2014 4 10 1 2 2 3 2.1...................................... 3 2.2....................................... 4 2.3....................................... 4 2.4................................ 5 2.5 Free-Body

More information

) a + b = i + 6 b c = 6i j ) a = 0 b = c = 0 ) â = i + j 0 ˆb = 4) a b = b c = j + ) cos α = cos β = 6) a ˆb = b ĉ = 0 7) a b = 6i j b c = i + 6j + 8)

) a + b = i + 6 b c = 6i j ) a = 0 b = c = 0 ) â = i + j 0 ˆb = 4) a b = b c = j + ) cos α = cos β = 6) a ˆb = b ĉ = 0 7) a b = 6i j b c = i + 6j + 8) 4 4 ) a + b = i + 6 b c = 6i j ) a = 0 b = c = 0 ) â = i + j 0 ˆb = 4) a b = b c = j + ) cos α = cos β = 6) a ˆb = b ĉ = 0 7) a b = 6i j b c = i + 6j + 8) a b a b = 6i j 4 b c b c 9) a b = 4 a b) c = 7

More information