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[vsnet-chat 422] U HER: CORRELATION ANALYSIS OF THE CYCLES /AFOEV database/
- Date: Thu, 10 Jul 1997 18:10:52 +0300 (EET DST)
- To: vsnet-chat@kusastro.kyoto-u.ac.jp
- From: "baby@paco.net" <baby@jabber.paco.net>
- Subject: [vsnet-chat 422] U HER: CORRELATION ANALYSIS OF THE CYCLES /AFOEV database/
- Sender: owner-vsnet-chat@kusastro.kyoto-u.ac.jp
U HER: CORRELATION ANALYSIS OF THE CYCLES /AFOEV database/
V.I. Marsakova, I.L. Andronov
Department of Astronomy, Odessa State University,
T.G.Shevchenko Park, Odessa 270014 Ukraine
baby@paco.net
U Her is studied by using 5294 observations from the AFOEV
database. The 4--th order trigonometric fit to the mean light curve
corresponds to the period $P=406\fd30\pm0\fd01.$
Long--term variations of $P$ are detected. The characteristics of
individual cycles are determined and the correlations between them
are studied.
The variations of the duration of the ascending branch are nearly
compensated by the duration of the preceeding descending branch.
Other not obvious correlations were found between the brightness at
the maximum and the preceeding minimum; between the inverse slope of
the light curve $dt/dm$ and the corresponding time interval from the
maximum to the crossings of the constant brightness $9\fm5$ for both
ascending and descending branches. The time interval between the hump
and the maximum is correlated with the $dt/dm$ at the ascending branch.
{\it Acknowledgements.} The authors are thankful to Emile
Schweitzer for allowing to use the AFOEV database and to the
amateur astronomers for their valuable contribution to this database.
Appendix to the paper by I.L. Andronov & V.I. Marsakova
"Phase curve changes and humps in a Mira-type star U Her"
Table 1a.
Results of the correlation analysis of 33 parameters of 42 individual
pulsation cycle of U Her base on the 5294 observations from the AFOEV database.
The indices correspond to:
0,1,2 - trial, preceding and successive maximum;
3,4 - preceding and successive minimum;
5, 6 - crossings of the smoothed light curve with a constant brightness 9.5
mag (vis);
7 - the hump at the ascending branch.
t - time
m - magnitude
f - phase
d - dt/dm - inverse slope of the light curve.
Combinations likewise tt1 mean differences (t1-t0),
m3m -> (m0-m3), t34-> (t4-t3).
The asymmetry estimates are a34=(t0-t3)/(t4-t3)
and a01=(t0-t3)/(t0-t1).
Below the diagonal: 100* correlation coefficient (to spare places for "0.")
Above the diagonal: 10* abs(correlation coefficient / its error estimate),
i.e. values >30 show that the correlation coefficient exceeds 3sigma and
the correlation is statistically significant.
t0 m0 f0 m1 f1 m2 f2 m3 f3 m4 f4 d5 f5 d6 f6 m7 f7
tt1 mm1 t2t mm2 tt3 m3m t4t m4m m34 t34 a43 a01 tt5 t6t tt7 mm7
t0 \ 13 49 16 44 9 48 22 50 19 49 0 2 32 2 24 7
12 5 12 5 9 2 11 14 5 1 0 12 6 12 8 4
m0 20 \ 9 2 6 2 5 49 5 30 17 5 6 13 34 34 11
19 59 6 66 4 23 7 30 8 7 6 7 28 39 4 19
f0 61 14 \ 5 85 6 85 6 57 8 32 9 7 18 14 18 \
4 4 9 3 23 5 17 11 5 5 20 22 9 2 8 9
m1 25 -4 9 \ 11 13 3 30 14 8 13 1 16 10 2 8 10
6 66 13 8 13 31 9 5 31 13 5 11 10 10 9 1
f1 59 11 82 17 \ 6 41 7 28 0 18 22 9 21 8 18 2
9 3 11 2 18 1 16 2 3 4 17 21 18 16 10 3
m2 14 -4 11 22 10 \ 0 1 12 47 8 1 28 3 2 9 26
1 15 19 59 1 2 12 40 33 2 3 3 5 10 11 9
f2 62 9 82 6 58 -1 \ 6 283 4 54 8 7 17 14 17 11
9 7 4 4 11 13 18 12 2 2 9 10 1 1 8 12
m3 38 68 12 51 13 1 11 \ 5 16 1 15 10 23 11 25 2
4 7 15 28 9 23 5 17 36 5 9 10 23 9 6 5
f3 69 -10 73 -27 47 -22 98 9 \ 4 232 4 30 15 25 15 23
6 4 6 6 21 13 9 16 3 7 14 22 4 8 12 16
m4 34 48 15 -16 0 67 8 30 8 \ 4 4 4 4 23 20 8
7 22 4 7 4 9 9 34 36 5 5 3 14 27 5 1
f4 67 -29 51 -23 31 -15 72 -1 98 7 \ 1 27 17 34 11 24
5 3 6 4 10 16 19 20 5 3 12 9 3 14 11 17
d5 1 10= 17 3 38 -1 -14 30 9 7 1 \ 5 0 12 2 10
27 3 11 5 33 5 5 6 11 22 26 31 67 0 37 2
f5 -4 10 -12 -29 -16 -47 14 20 52 8 47 8 \ 16 5 0 73
4 19 8 29 9 6 8 0 2 10 10 14 17 36 17 2
d6 48 21= 29 18 35 -5 29 43 29 -9 32 -0 -29 \ 14 3 13
2 2 5 10 6 3 21 9 14 19 2 3 10 41 1 20
f6 -3 -50 -23 -4 13 4 -24 -21 46 -43 57 -23 9 24 \ 8 12
4 14 1 21 7 12 8 7 1 10 4 6 17 53 1 8
m7 43 55 34 16 33 19 34 49 31 40 23 -4 -0 6 -18 \ 23
14 12 12 12 11 3 10 1 1 2 9 12 6 18 21 37
f7 -15 -22 0 -19 -4 -47 22 5 46 -16 46 21 84 -27 24 -41 \
10 3 1 11 12 19 1 1 10 10 14 15 15 14 53 13
tt1 20 30 7 11 14 -2 16 7 12 13 -8 -45 7 4 -7 27 -20
\ 8 28 18 15 15 22 1 5 4 28 2 23 17 34 1
mm1 -8 70 -7 -74 -5 -25 -11 14 8 39 -6 6 33 3 -24 23 7
13 \ 10 47 11 48 12 15 12 14 1 13 27 30 7 22
t2t 20 11 14 22 19 30 7 27 -11 7 12 21 -15 9 1 24 -3
-44 -17 \ 8 10 19 18 1 15 1 11 1 14 8 8 6
mm2 9 74 5 -14 3 -70 7 47 11 -14 -8 9 49 17 -35 24 22
29 64 -13 \ 3 16 16 67 30 7 6 7 24 33 4 18
tt3 -17 -7 -40 25 -33 -1 -21 -18 -37 -9 -20 -56 -19 12 13 -24 -25
28 -21 -18 -5 \ 7 7 2 5 46 76 189 26 6 19 18
m3m 4 -39 10 52 -3 4 25 40 24 -18 31 11 12 5 23 7 38
-27 -68 34 -30 -13 \ 15 10 30 2 18 4 3 12 16 14
t4t 20 -12 30 16 29 22 33 10 18 16 34 10 -16 40 16 21 -2
-38 -22 33 -30 -15 29 \ 16 6 39 39 3 6 14 18 0
m4m 25 -48 21 -9 -4 61 22 -33 31 53 35 -12 1 -18 15 -2 2
-2 -28 -2 -79 -5 20 28 \ 53 12 10 1 12 6 5 14
m34 -10 16 -10 54 7 -57 -3 59 -6 -59 -10 23 3 30 -2 3 22
-10 -24 30 53 -11 52 -12 -73 \ 9 3 6 8 5 11 1
t34 -2 -14 -11 26 -8 3 5 -10 -14 10 7 -44 -20 39 21 -6 -23
7 -28 2 -15 68 5 62 23 -17 \ 10 50 15 10 10 18
a43 0 12 -38 10 -33 -7 -19 -19 -29 -11 -24 -50 -22 5 9 -21 -32
50 1 -24 13 85 -36 -63 -21 -7 21 \ 60 21 4 23 10
a01 -22 -13 -39 21 -37 5 -19 -19 -39 -6 -19 -54 -29 6 13 -26 -31
3 -25 -3 -14 96 -7 -6 -2 -11 72 78 \ 22 8 18 16
tt5 -12 -46 -16 18 -32 9 2 -43 -9 -27 -6 -77 -29 -19 31 -13 -30
39 -45 -26 -42 47 6 -11 23 -17 31 42 42 \ 7 43 11
t6t 20 -56 4 17 28 18 2 -19 17 -48 28 -1 -58 57 67 -37 -30
-29 -46 13 -50 13 24 28 12 10 21 9 16 14 \ 2 1
tt7 16 7 -15 17 -19 23 -17 -14 -25 11 -23 -62 -34 -1 -2 39 -72
56 -14 -16 -7 38 -33 -36 11 -25 22 47 37 67 -5 \ 20
mm7 8 -35 17 -1 -6 18 24 -12 33 -1 33 -5 -5 -40 17 59 -25
-1 -41 12 -36 -36 30 1 28 -1 -38 -24 -34 23 3 37 \
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