Amorphis - The Beginning of Times (Limited Edition)Descripción completa
Piano sheet music
Full description
Full description
Full description
v2 Data Analysis questions 1. Anal Analys ysis is of of time timess of mini minima ma
Figure 1 shows the light curve of the eclipsing binary V1107 Cas, classified as a W Ursae a!oris type" #able 1 contains a list of observed $ini$a of the light variation" #he colu$ns contain% the nu$ber of the $ini$u$, the date on which the $ini$u$ was observed, the heliocentric ti$e of $ini$u$ e&pressed in 'ulian days and an error (in fractions of a day)" Fig" 1% 8ight curve of V1107 Cas"
Using these data% (a) *eter$ine an initial period period of V1107 V1107 Cas, Cas, assu$ing that the period of the star is constant constant during the interval of observations" observations" +ssu$e +ssu$e that observations during one one night are continuous" *uration of the transit is negligible" (b) ae what is nown as an (-.C) diagra$ (for (for /observed . calculated) of the ti$es of of $ini$a, as follows% on the xa&is put the nu$ber of periods elapsed (the /epoch) since a chosen initial $o$ent M o on the ya&is the difference between the observed $o$ent of $ini$u$ M obs obs and the $o$ent of $ini$u$ calculated using the for$ula (/ephe$eris)% M calc 5 E calc 3 M o 4 P 5
where E, the epoch, is e&actly an integer or halfinteger, and P is the period in days" da ys" (c) Using this this (-.C) diagra$, i$prove i$prove the deter$ination of the initial $o$ent M o and the period P , and esti$ate the errors in their values" (d) Calculate the predicted ti$es of $ini$a of V1107 V1107 Cas given in heliocentric heliocentric '* occurring between 16h, 1 epte$ber 2011 2011 U# and 02h, 2 epte$ber epte$ber 2011 U# U#"
v2
9o"
*ate of $ini$u$ (U#)
#i$e of $ini$u$ (:eliocentric '*)
;rror
1
22 *ece$ber 200<
2 =>= 062"=111
0"000=
2
2? *ece$ber 200<
2 =>= 062">=7@
0"0002
?
2? epte$ber 2007
2 =>= ?<7"?2@=
0"000>
=
2? epte$ber 2007
2 =>= ?<7"=<><
0"000>
>
1> -ctober 2007
2 =>= ?@@">17>
0"0006
<
1> -ctober 2007
2 =>= ?@@"<>?6
0"0011
7
2< +ugust 200@
2 =>= 70="@><1
0"0002
@
> 9ove$ber 200@
2 =>= 77<"=601
0"0007
6
? 'anuary 2006
2 =>= @?>"27?=
0"0007
10
1> 'anuary 2006
2 =>= @=7"?0?6
0"000=
11
1> 'anuary 2006
2 =>= @=7"==12
0"0001
12
1< 'anuary 2006
2 =>= @=7">771
0"000=
#able 1% -bserved ti$es of $ini$a of V1107 Cassiopeae
v2 2. Weighing a galaxy
#he attached i$ages show a photograph of the spiral gala&y 9AC 70@?, which lies at a distance of =0 pc, and a frag$ent of its spectru$" #he slit of the spectrograph was aligned with the $a!or a&is of the i$age of the gala&y" #he x-a&is of the spectru$ represents wavelength, and the ya&is represents the angular distance of the e$itting region fro$ the core of the gala&y, where 1 pi&el 3 0"@2 arcsec" #wo bright e$ission lines are visible, with rest wavelengths of λ1 3 <><= B, λ2 3 <>@= B" Use the spectru$ to plot the rotation curve of the gala&y and esti$ate the $ass of the central bulge" +ssu$ption% central bulge is spherical" #he photograph of the gala&y has the correct proportions"
