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ESERCIZIO n°2: Al crepuscolo serale del 26 Marzo 2007 nell’Oceano Pacifico meridionale si osservano i seguenti astri: Astro Tempo (UTC) Altezza Alioth 06 h 33 m 50 s 26°55.5’ Denebola 06 h 35 m 07 s 28°22.7’ Alphard 06 h 38 m 25 s 44°16.9’ Adhara 06 h 41 m 47 s 33°13.6’ Betelgeuse 06 h 44 m 54 s 58°52,7’ Aldebaran 06 h 47 m 30 s 46°31.9’ Mirfak 06 h 49 m 45 s 37°03.9’ Polaris 06 h 51 m 38 s 27°42.8’ Sono noti e=18 m, γ c=-2.7’, K=+1 m 23 s , punto stimato all’istante dell’ultima osservazione: φ=27°25.7’ N, λ=171°38.2’W , v=15 nodi, Rv=237° Determinare la posizione astronomica ai minimi quadrati all’istante dell’ultima osservazione. Risoluzione b) eliminazione dell’ambiguità del cronometro e della data. tm = 18 h 00 m 26/03/2007 - λ f - = + 12 h W Tm = 06 h 00 m 27/03/2007 Alioth Denebola Alphard Adhara Betelgeuse Aldebaran Mirfak Polaris Tc = 06 h 33 m 50 s K = + 01 m 23 s Tm = 06 h 35 m 13 s 27/03/2007 T m = 06 h I m = 35 m 13 s T s= 274° 17.7’ I s= 008° 49.7’ T s= 283° 07.4’ +Coα= 166° 24.0’ T a= 449° 31.4’ +λ s- =- 171° 38.2’ W t a= 277° 53.2’ δ = 55° 55.1’ N φ = 27° 25.7’ N h s = 26° 45.7’ A z = 038.4° h i = 26°55.5’ +γ c = - 2.7’ h o = 26°52.8’ C 1 = 12.5’ C 2 = 38.1’ h v = 26°43.4’ h s = 26°45.7’ Δh = - 2.3’ Tc = 06 h 35 m 07 s K = + 01 m 23 s Tm = 06 h 36 m 30 s 27/03/2007 Tc = 06 h 38 m 25 s K = + 01 m 23 s Tm = 06 h 39 m 48 s 27/03/2007 Tc = 06 h 41 m 47 s K = + 01 m 23 s Tm = 06 h 43 m 10 s 27/03/2007 Tc = 06 h 44 m 54 s K = + 01 m 23 s Tm = 06 h 46 m 17 s 27/03/2007 Tc = 06 h 47 m 30 s K = + 01 m 23 s Tm = 06 h 48 m 53 s 27/03/2007 Tc = 06 h 49 m 45 s K = + 01 m 23 s Tm = 06 h 51 m 08 s 27/03/2007 T c = 06 h 51 m 38 s K = + 01 m 23 s T m = 06 h 53 m 01 s 27/03/2007 Calcolati Calcolati Calcolati Calcolati Calcolati Calcolati Calcolati Calcolati T m = 06 h I m = 36 m 30 s T s= 274° 17.7’ I s= 009° 09.0’ T s= 283° 26.7’ +Coα= 182° 38.1’ T a= 466° 04.8’ +λ s- =- 171° 38.2’ W t a= 294° 26.6’ δ = 14° 31.8’ N φ = 27° 25.7’ N h s = 28° 08.2’ A z = 087.5° h i = 28°22.7’ +γ c = - 2.7’ h o = 28°18.0’ C 1 = 12.5’ C 2 = 38.2’ h v = 28°10.7’ h s = 28°08.2’ Δh = + 2.5’ T m = 06 h I m = 39 m 48 s T s= 274° 17.7’ I s= 009° 58.6’ T s= 283° 16.3’ +Coα= 218° 00.6’ T a= 501° 16.9’ +λ s- =- 171° 38.2’ W t a= 329° 38.7’ δ = 08° 41.5’ S φ = 27° 25.7’ N h s = 44° 03.3’ A z = 137.6° h i = 44°16.9’ +γ c = - 2.7’ h o = 44°16.2’ C 1 = 12.5’ C 2 = 39.0’ h v = 44°05.7’ h s = 44°03.3’ Δh = + 2.4’ T m = 06 h I m = 43 m 10 s T s= 274° 17.7’ I s= 010° 49.3’ T s= 285° 07.0’ +Coα= 255° 16.3’ T a= 540° 23.3’ +λ s- =- 171° 38.2’ W t a= 368° 45.2’ -360°00.0’ t a= 008° 45.2’ δ = 28° 59.1’ S φ = 27° 25.7’ N h s = 32° 59.6’ A z = 189.1° h i = 33°13.6’ +γ c = - 2.7’ h o = 33°10.9’ C 1 = 12,5’ C 2 = 38.5’ h v = 33°01.9’ h s = 32°59.6’ Δh = + 2.3’ T m = 06 h I m = 46 m 17 s T s= 274° 17.7’ I s= 011° 36.2’ T s= 285° 53.9’ +Coα= 271° 06.5’ T a= 557° 00.4’ -360° 00.0’ T a= 197° 00.4’ +λ s- =- 171° 38.2’ W t a= 025° 22.2’ δ = 07° 24.5’ N φ = 27° 25.7’ N h s = 58° 44.1’ A z = 234.9° h i = 58°52,7’ +γ c = - 2.7’ h o = 58°50.0’ C 1 = 12,5’ C 2 = 39.4’ h v = 58°41.9’ h s = 58°44.1’ Δh = - 3.2’ T m = 06 h I m = 48 m 53 s T s= 274° 17.7’ I s= 012° 15.3’ T s= 286° 33.0’ +Coα=290° 55.0’ T a= 577° 28.0’ -360° 00.0’ T a= 197° 28.0’ +λ s- =-171° 38.2 W t a= 025° 49.8’ δ = 16° 31.5’ N φ = 27° 25.7’ N h s = 46° 23.7’ A z = 265.4° h i = 46°31.9’ +γ c = - 2.7’ h o = 46°29.2’ C 1 = 12.5’ C 2 = 39.1’ h v = 46°20.8’ h s = 46°23.7’ Δh = - 2.9’ T m = 06 h I m = 51 m 08 s T s= 274° 17.7’ I s= 012° 49.1’ T s= 287° 06.8’ +Coα= 308° 47.7’ T a= 595° 54.5’ -360° 00.0’ T a= 235° 54.5’ +λ s- =-171° 38.2’ W t a= 064° 16.3’ δ = 49° 53.4’ N φ = 27° 25.7’ N h s = 36° 55.8’ A z = 313.5° h i = 37°03.9’ +γ c = - 2.7’ h o = 37°01.2’ C 1 = 12.5’ C 2 = 38.7’ h v = 36°52.4’ h s = 36°55.8’ Δh = - 3.4’ T m = 06 h I m = 53 m 01 s T s= 274° 17.7’ I s= 013° 17.4’ T s= 287° 35.1’ +Coα=320° 25.1’ T a= 608° 00.2’ -360° 00.2’ T a= 248° 00.2’ +λ s- =-171° 38.2’ W t a= 076° 22.0’ δ = 89° 18.0’ N φ = 27° 25.2’ N h s = 27° 37.4’ A z = 359.2° h i = 27°42.8’ +γ c = - 2.7’ h o = 27°43.1’ C 1 = 12.5’ C 2 = 38.2’ h v = 27°33.8’ h s = 27°37.4’ Δh = - 3.6’
ESERCIZIO n°3: Al crepuscolo mattutino del 25 Maggio 2007 nell’Oceano Pacifico meridionale si osservano i seguenti astri: Astro Tempo (UTC) Altezza Schedar 04 h 00 m 17 s 35°56.7’ Alpheraz 04 h 2 m 36 s 30°40.8’ Enif 04 h 04 m 59 s 47°12.8’ Altair 04 h 06 m 02 s 59° 50.9’ Rasalaghue 04 h 08 m 33 s 54° 40.7’ Arturo 04 h 10 m 25 s 21°21.7’ Alkaid 04 h 13 m 48 s 30°48.8 Polare 04 h 15 m 50 s 38° 15.6’ Sono noti e=14 m, γ c=+2.4, K=-2 m 24 s , punto stimato all’istante dell’ultima osservazione: φ=38°25.7’ N, λ=167°42.2’E , v=16 nodi, Rv=58° Determinare la posizione astronomica ai minimi quadrati all’istante dell’ultima osservazione. Risoluzione c) eliminazione dell’ambiguità dell’ora e della data del cronometro relativa all’osservazione. tm = 03 h 30 m 25/05/2007 - λf + = - 11 h E Tm appross. = 16 h 30 m 24/05/2007 Schedar Alpheraz Enif Altair Rasalhague Arturo Alkaid Polare Tc = 04 h 00 m 17 s K = - 02 m 24 s Tm = 15 h 57 m 53 s 24/05/2007 T m = 15 h I m = 57 m 53 s T s= 106° 50.0’ I s= 014° 30.6’ T s= 121° 20.6’ +Coα= 349° 46.5’ T a= 471° 07.1’ +λ s+=+ 167° 42.2’ E t a= 638° 49.3’ -360° 00.0’ t a= 278° 49.3’ δ = 56° 34.5’ N φ = 38° 25.7’ N h s = 35° 47.8’ A z = 042.3° h i = 35°56.7’ +γ c = 2.4’ h o = 35°59.1’ C 1 = 13.4’ C 2 = 38.7’ h v = 35°51.2’ h s = 35°47.8’ Δh = + 3.4’ Tc = 04 h 02 m 36 s K = - 02 m 24 s Tm = 16 h 00 m 12 s 24/05/2007 Tc = 04 h 04 m 59 s K = - 02 m 24 s Tm = 16 h 02 m 35 s 24/05/2007 Tc = 04 h 06 m 02 s K = - 02 m 24 s Tm = 16 h 03 m 38 s 24/05/2007 Tc = 04 h 08 m 33 s K = - 02 m 24 s Tm = 16 h 06 m 09 s 24/05/2007 Tc = 04 h 10 m 25 s K = - 02 m 24 s Tm = 16 h 08 m 01 s 24/05/2007 Tc = 04 h 13 m 48 s K = - 02 m 24 s Tm = 16 h 11 m 26 s 24/05/2007 T c = 04 h 15 m 50 s K = - 02 m 24 s T m = 16 h 13 m 26 s 24/05/2007 Calcolati Calcolati Calcolati Calcolati Calcolati Calcolati Calcolati Calcolati T m = 16 h I m = 00 m 12 s T s= 121° 52.4’ I s= 000° 03.0’ T s= 121° 55.4’ +Coα= 357° 48.6’ T a= 479° 44.0’ +λ s+=+167° 42.2’ E t a= 647° 26.2’ -360° 00.0’ t a= 287° 26.2’ δ = 29° 07.7’ N φ = 38° 25.7’ N h s = 30° 30.2’ A z = 75.8° h i = 30°40.8’ +γ c = 2.4’ h o = 30°43.2’ C 1 = 13.4’ C 2 = 38.5’ h v = 30°35.1’ h s = 30°30.2’ Δh = + 4.9’ T m = 16 h I m = 02 m 35 s T s= 121° 52.4’ I s= 000° 38.9’ T s= 122° 31.3’ +Coα=033° 51.7 T a= 156° 03.0’ +λ s+=+167°42.2’ E t a= 324°06.2’ δ = 09° 54.4’ N φ = 38° 25.7’ N h s = 47° 03.6’ A z = 123.1° h i = 47°12.8’ +γ c = 2.4’ h o = 47°15.2’ C 1 = 13.4’ C 2 = 39.2’ h v = 47°07.8’ h s = 47°03.6’ Δh = + 4.2’ T m = 16 h I m = 03 m 38 s T s= 121° 52.4’ I s= 000° 54.6’ T s= 122° 47.0’ +Coα= 062° 12.6’ T a= 184° 59.6’ +λ s+ =+167° 42.2’ E t a= 352° 41.8’ δ = 08° 53.1’ N φ = 38° 25.7’ N h s = 59° 44.3’ A z = 167.5° h i = 59° 50.9’ +γ c = 2.4’ h o = 59° 53.3’ C 1 = 13.4’ C 2 = 39.4’ h v = 60°46.1’ h s = 59°44.3’ Δh = + 1.8’ T m = 16 h I m = 06 m 09 s T s= 121° 52.4’ I s= 001° 32.5’ T s= 123° 24.9’ +Coα= 096° 10.4’ T a= 219° 35.3’ +λ s+ =+167° 42.2’ E t a= 387° 17.5’ -360° 00.0’ t a= 027° 18.3’ δ = 12° 33.1’ N φ = 38° 25.7’ N h s = 54° 32.5’ A z = 230.8° h i = 54° 40.7’ +γ c = 2.4’ h o = 54°43.1’ C 1 = 13.4’ C 2 = 39.2’ h v = 54°35.7’ h s = 54°32.5’ Δh = + 3.2’ T m = 16 h I m = 08 m 01 s T s= 121° 52.4’ I s= 002°00.6’ T s= 123° 53.0’ +Coα= 145° 59.6’ T a= 269° 52.6’ +λ s+=+167° 42.2’ E t a= 437° 34.8’ -360° 00.0’ t a= 077° 35.6’ δ = 19° 08.5’ N φ = 38° 25.7’ N h s = 21° 16.3’ A z = 278.6° h i = 21°21.7’ +γ c = 2.4’ h o = 21°24.1’ C 1 = 13.4’ C 2 = 37.4’ h v = 21°14.9’ h s = 21°16.3’ Δh = - 1.4’ T m = 16 h I m = 11 m 26 s T s= 121° 52.4’ I s= 002°52.0’ T s= 124° 44.4’ +Coα=153° 01.9’ T a= 277° 46.3’ +λ s+=+167° 42.2’ E t a= 445° 28.5’ -360° 00.0’ t a= 085° 28.5’ δ = 49° 16.6’ N φ = 38° 27.5’ N h s = 30° 45.3’ A z = 311.1° h i = 30°48.8’ +γ c = 2.4’ h o = 30°51.2’ C 1 = 13.4’ C 2 = 38.2’ h v = 30°42.8’ h s = 30°45.3’ Δh = - 2.5’ T m = 16 h I m = 13 m 26 s T s= 121° 52.4’ I s= 003° 22.1’ T s= 125° 14.5’ +Coα= 320° 24.7’ T a= 445° 39.2’ +λ s+=+167° 42.2’ E t a= 613° 21.4’ -360° 00.0’ t a= 253° 21.4’ δ = 89° 17.7’ N φ = 38° 25.7’ N h s = 38° 13.4’ A z = 000.9° h i = 38° 15.6’ +γ c = 2.4’ h o = 38°18.0’ C 1 = 13.4’ C 2 = 38.7’ h v = 38°10.1’ h s = 38°13.4’ Δh = - 2.7’
Page 1: ESERCIZIO n°1: Al crepuscolo mattu
Page 5 and 6: ESERCIZIO n°5: Al crepuscolo mattu
Page 7 and 8: ESERCIZIO n°7: Al crepuscolo mattu
Page 9 and 10: ESERCIZIO n°9: Al crepuscolo seral
Page 11 and 12: Tc = 04 h 33 m 34 s K = 1 m 10 s Tm
Page 17 and 18: Tc = 04 h 39 m 04 s K = - 4 m 43 s
Page 23 and 24: Tc = 06 h 33 m 04 m K = - 1 m 10 s
Page 31 and 32: REGULUS POLARIS Tc = 18 h 21 m 14 s
Page 33 and 34: REGULUS POLARIS Tc = 18 h 21 m 14 s
Page 39 and 40: CANOPO Menkar Tc = 04 h 23 m 04 m K
Page 41 and 42: Tc = 04 h 23 m 04 m K = + 4 m 30 s
Page 43 and 44: Tc = 05 h 43 m 04 m K = + 4 m 30 s
Page 45 and 46: Rasalhague Spica Tc = 07 h 43 m 04
Page 47 and 48: Rasalhague Spica Tc = 05 h 43 m 04
Page 49 and 50: hh) Calcolo di Δh e Azimut degli a
Page 51: Da ricalcolare kk) Calcolo di Δh e

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