sign in sign up
<<
Home , 30 Monocerotis, 5 Aurigae, 67 Ophiuchi, 6 Hydrae, 70 Ophiuchi, F Hydrae

18 9 9Ap J 10 IS VOLUME XJUNE1899 the eliminationofEarth’sorbitalvelocityfromobservations for motioninthelineofsight.Let ASTROPHYSICAL JOURNAL radius vectoroftheorbit. projection ofuponthelinesight. cisely below. LINE OFSIGHTCONSTANTSFORTHEPRINCIPAL © American Astronomical Society •Provided bytheNASA Astrophysics DataSystem o/ o 1 AN INTERNATIONALREVIEWOFSPECTROSCOPY X, ß,bethemeanlongitudeandlatitudeofobservedstar. P, theSun’slongitudeatperigee(2812o)- e, theeccentricityofEarth’sorbit(0.0167). a, thesemi-axismajorofEarth’sorbit(149,480,000kilometers). X, thedesiredcorrectiontoobservedvelocityofastar,or 90 —/,theanglebetweenEarth’sdirectionofmotionand v, themeanvelocityofEarthinitsorbit,definedmorepre- O, theSun’smeanlongitudeatmomentofobservation. The followingformulaeandtablesareintendedtofacilitate T, theEarth’ssiderealperiod(31,558,000mearTsolarseconds). ^hauvenet’s Astronomy,1,p.636. From thetheoryofellipticalmotionwehave the ’svelocityatmomentofobservation. AND ASTRONOMICALPHYSICS Vi =[i-j-ecos(o—P)]sec1 By FrankSchlesinger. tan i=——;h- N * i-J—ecos(©—r) . *sin(o—r) . THE NUMBER i 18 9 9Ap J 10 IS 2 2 The quantitiesbandcdonotinvolvethelongitudeofSun c neverexceeds0.50kilometerspersecond.Itfollowsthatif and are,therefore,practicallyconstantforanyparticularstar. in which The maximumvalueofbisabout30kilometerspersecond,and century whileF-Xisincreasedabout20'inthesameperiod. we havefinally Eliminating iandsimplifyingweobtain of acircularorbit,yetthecombinedeffectisconstantforany tion ofacircularorbitfortheEarth.Thatis,although we tabulatethevaluesofbandcforpresentepochtheywill Projecting vuponthelineofsight, expression forxiswhatwouldhaveresultedfromtheassump- increasing rightascensions.Toenablea startobereadily been computedforallthebrighterstarsvisiblefromnorthern theory ofaberration. Earth’s velocityvariesinbothamountanddirectionfromthat large anerrorinxas0.01kilometerspersecond. hold duringthecomingcenturywithouteverintroducingso Or, ifweput by thepositivesign.Thestarsarearranged intheorderof convention ofdenotingapproachbythenegative, andrecession per second,andthetablesformulaeconform totheusual motions arealsogiven.Theunitofvelocity isthekilometer observatories. Somevariablesandafewstarswithlargeproper particular .Theanaloguetothispropositionisfoundinthe Neglecting propermotion,ßcannotchangemorethan49"ina 1 © American Astronomical Society •Provided bytheNASA Astrophysics DataSystem 2 Bessel,TabulaeRegiomonlanae,XIX. It isinterestingtonotethatthefirstterminabove In theaccompanyingtableconstantslogbandchave cossec x =—v\_iecos(oP)]sin(À©-f0ßi* x =vcos/?sin(o—À)^ß(FA.). x =bsin(o—A)+c. c —vecosßsin(FÀ) b =vcosß F. SCHLESINGER v a 27T 18 9 9Ap J 10 IS 2 o the arguments. XII(1804),andreferredtotheequinoxof1800.This little laborwasrequiredtobringthedataup1900withsuf- table containsnearlyallthestarsinpresentpaper,andvery and epochof1900.Thefollowingformulae wereemployed: ascensions anddeclinationsofthestarsreferredtoequinox ficient accuracy.However,theseresultswereusedmerelyasa log b.ForF,theSun’slongitudeatperigee,roundvalue check, allthecomputationsbeingbaseddirectlyuponright published byC.ChabrolintheConnaissancedesTempsfor For cagraphicalcheckwasconstructed, with logbandXas referred howevertotheequinoxof1900. these tableswouldhavebeentheadditionofaconstanttoeach from atableofthelongitudesandlatitudessixhundredstars, o' Eridani,¡jlCassiopeiae,etc.,theaboveexpressionfordXwill kilometers persecondinthecorrectiontoanobservedvelocity. 0.01" inthisconstantcorrespondstoamaximumerrorof0.034 , isbasedupon8.80”asthesolarparallax;anerrorof very largepropermotions,suchas1830Groombridge61Cygni, The longitudemustbebroughtuptotheyearofobservation, vals. Thelongitudefor1900andthelatitudehavealsobeen 281 20'hasbeenemployed;thisisaboutitsvaluefor1950, not sufficewhentbecomeslarge. will befoundattheendofpaper.Forafewstarswith A shorttablegivingthevaluesoíd\foreveryyearupto1930 tabulated, thoughonlytheformerisneededinreductions. found theapproximaterightascensionisgivenatfrequentinter- Had adifferentparallaxbeenemployedtheonlyeffectupon y 1900 +t,byaddingtothetabularlongitude, © American Astronomical Society •Provided bytheNASA Astrophysics DataSystem The valueadoptedfora,thesemi-axismajorofEarth’s Much assistanceincheckingthecomputationswasobtained tan X=[9.96255]a+[9.59987]sec8, o c =[8.224]bsin(28120'—X). b =[1.47371]secXcosa8, LINE OFSIGHTCONSTANTS3 d\ —0.838'Xt. 18 9 9Ap J 10 IS 123 Piazzill. 4 2 50 Cassiopeiae. É Ceti T Ceti ß Arietis 7 Arietis.... ß Trianguli 7 Pegasi ß Cassiopeiae. 7 Cassiopeiae. ß Andromedae ß Ceti 7 Andromedae a Trianguli. ô Ceti a Arietis £ Piscium 7j Ceti r Piscium.... fjL Cassiopeiae. v Ceti [M Andromedae 7] Cassiopeiae, 0 Ceti a Andromedae ô Cassiopeiae. t Ceti 0 Ceti e Cassiopeiae e Piscium.... t Ceti © American Astronomical Society •Provided bytheNASA Astrophysics DataSystem Cassiopeiae . Andromedae Persei .... Ceti Persei.. . Ursae min. Cassiopeiae . Piscium .. Andromedae h1 h1 m h hr h1 nm 2 35 o 40 er 20 i 49' i 40 i 3 O 3 Name Var. Var. Var. Mag. 4.0 6.6 4.0 3-0 2.0 2.4 4.0 4.0 2.8 4.0 2.6 4.0 3-6 3-3 3-0 3-3 3-6 2.0 2.8 4.0 2.3 2.0 4.0 2.1 4.0 3.6 3.0 3-1 4.0 4.0 3.8 2.0 3-3 4.0 3.3 2.0 5.6 F. SCHLESINGER 1 335 15-0 359 3- 36 37 30 36 40 36 42 62 32 26 07.3 20 25.2 21 17.3 33 43-2 31 47-2 20 32.9 43 25 46 26 39 41-5 27 46.8 42 32.6 38 50.1 36 23.8 33 40.7 53 22.4 41 87 29 18 35 28.2 i2°55*o' 16 14 10 16 07.8 7 45-7 i 10.5 1900 23.2 04-3 07.5 574 50.0 01.2 344 27.2 25.2 00.6 21.8 10.3 03.0 32.0 49.8 \ 15.8 554 10.3 10.1 12.2 2 — 1428 — 800 — iS56 + 2035 -- 4443 — 552 + 958 — 3102 + 5423 — 756 + 710 — 20 — 2047 — 2030 — 1546 — 1606 --43 13 — i05 --•29 39 + 4637 — 1001 + 1236 + 5114 + 5°4i' + 2748 + 829 + 1648 + 4732 — 2452 + 4624 + 2557 — 48 --47 02 --66 06 -- 522 + 2044 24 21 27 08 36 So 35 24 14631 1-4597 1.4695 1.2924 1.3106 I.4230 1-3254 14453 1.4670 I.2705 14285 I.4567 1.4128 1.3072 1-4445 1-4333 I.47I4 I.445I 1.4671 I.42O5 I.4O66 1.2390 1.4689 1.4695 1.4276 14736 1-3363 1-4703 1.4548 1-3031 1-4457 I-43I5 1-3770 1.3849 1.4718 1.0815 1-3123 1-4570 1.4446 1-4563 0.45 •37 .48 -49 .29 -32 .50 .42 .28 .30 ■4 .44 •45 -45 .41 -45 .38 .42 .18 .46 31 45 46 45 44 33 47 25 48 46 44 46 35 05 35 18 9 9Ap J 10 IS 6 ■ vPersei.. 27 Tauri. 41 Arietis. 17 Tauri.. 12 Eridani. r Eridani. / Tauri.. Tr Ceti., a Ceti 7] Tauri.. 7 Persei.. a Persei... ß Persei... rj Eridani 7 Ceti., /a Ceti., 5 Eridani £ Persei.. 0 Persei.. 0 Tauri.. % Tauri.. 5 Persei.. f Persei.. r Persei.. rj Persei e Persei.. p Persei... e Eridani 0 Persei L Persei... © American Astronomical Society •Provided bytheNASA Astrophysics DataSystem Tauri . Tauri . Eridani. Tauri . Tauri .. Tauri .. Persei .. Tauri .. Tauri . Eridani, hr h h h hm hr h1 hi 3 42 3 37' 2 58™ 3 S3' 3 i8 2 44 4 I2 h i 43i 237 Name LINE OFSIGHTCONSTANTS5 Mag. Var. 4.0 4.0 4.0 3-0 4.0 3-3 4.1 3.0 4.0 Var. 4.0 4.6 3.0 4.0 3-° 3.1 4.0 3-3 4.0 4.0 3.0 3-6 3.6 2.0 3.0 4.0 4.0 3.6 4.0 3-6 2.3 3.0 3.8 3.6 4.0 Var. 3-3 4.0 1.0 45 46 64 61 58 58 35-8 58 00.9 49 27.5 62 25.8 63 49 37 68 58 59 52 63 34-6 59 44-8 52 60 33 57 53 42 46 65 67 64 58 50 54 58 40 32 56 57 38 66 68 53‘ 1900 43-7 41.2 27.9 57-5 24.5 47.8 46.1 46.4 20.9 O6.I 58.0 30.8 24-3 03-9 28.3 52.4 31-2 50.4 30.8 37-6 55-4 3I-I 48.4 32.2 21.2 02.3 23-5 33*7 16.9 11.7 11.0 14.2 18.5 16.0 A 1 — 555 — 1906 —41 53 4- 4ii —28 43 + 2718 — 2744 — 920 — 3 — 1428 — 758 — 3312 -- ii19 + 2208 — 848 + 3°07 —44 43 +30 38 +34 31 —12 35 —24 33 +34 22 — 2821 — 1456 — 354 + 403 + 1027 — 534 — 2815 —12 00 — 5 — 5 — 2 — 5 + 2614 +37 28 + 31°37 20 25 20 34 12 10 35 44 28 59 51 I 1.4588 1.4491 1.3963 1.4652 1.4727 1.4726 1.4725 1.4638 1.4207 1.4396 1.4182 1.4695 1.3456 1.4167 1.4405 I-47I4 1.4679 1-3253 1.4084 -45 M7I7 1.4714 1.4733 1.4727 1.4715 1.4265 1-4597 1.4225 1.4686 1.4107 1.3896 1.4326 1.3904 1.4186 1.4631 1.4665 1-3733 1.4716 1.4641 1.4040 log b - .28 ■ -43 - .41 - .44 0.32 .30 •34 •31 .36 .38 .28 .29 .31 .27 .38 •39 .27 .29 •30 .28 .28 .41 .41 .¿9 .40 34 34 29 32 33 31 34 30 25 33 18 9 9Ap J 10 IS 5 3 tt Orionis, ir Orionis. io Camelopardis 53 Eridani 7] Geminorum. ß Aurigae 7] Leporis a Orionis d Leporis 7 Leporis 5 Aurigae K Orionis

A Name Mag. 1900 fog- à

22ft 52m a Piscis aus.. . 1-3 332 27.1 —2I°07' 1-4435 0.37 o Andromedae 3-6 6 23-7 + 43 45 1-3325 -36 ß Pegasi Var. 357 58.7 + 31 08 1.4061 .41 a Pegasi 2.0 1.4483 2 352 05.5 + 19 25 •44 0 Aquarii 4.0 338 37-0 — 14 29 1-4597 .41 23h 5m 3077 Bradley 6.0 22 16.8 + 54 34 1.2369 .28 7 Piscium ... . 4.0 SSO O2.3 + 7 17 I.47O2 .46 X Andromedae 4.0 I6 54.4 + 43 47 I.3322 •36 L Andromedae 4.0 14 4I.9 + 41 02 I-35I3 .38 7 Cephei 3-3 58 42.I + 64 39 I-I053 .14 2311 40r co Piscium 4.0 i ii.i + 6 22 1.4710 -49

PRECESSION IN LONGITUDE.

1901 +0.8' 1911 + 9.2' 1921 -f 17.6 1902 + 1.7 1912 + 10.1 1922 + 18.4 1903 +2.5 1913 + 10.9 1923 +19.3 1904 +3-4 1914 + I 1.7 1924 + 20.1 1905 +4.2 1915 + 12.6 +20.9 1906 +5.0 1916 + 13.4 1926 +21.8 1907 +5.9 1917 + 14.2 1927 +22.6 1908 +6.7 1918 + 15.1 1928 +23.5 1909 +7.5 1919 + 15.9 1929 +24.3 1910 +8.4 1920 + 16.8 1930 +25.1

International Latitude Observatory, Ukiah, California.

© American Astronomical Society • Provided by the NASA Astrophysics Data System