獅子座の星の計算 5論文 英語(36)

星の視等級と距離と半径の関係、
半径と質量の関係、
半径、質量と自転速度の関係など
星の統計の間には、なんらかの相関関係があることが想定できる。

相関関係が他の星と違う場合には、二重星、三重星だったり、星を構成する物質の違いがあるかもしれない。

星の統計の間の計算をするための基礎として獅子座を整理。

このデータを最小二乗法で計算して近似式を求めても、意味のある式になるかどうかが判定できない。

徐々に天文系の文献にあたり関係式を求める予定。

#基礎資料(base document)

ArxivでLeonisで検索したら５１文献あった。
https://arxiv.org/search/?query=Leonis+&searchtype=all&abstracts=show&order=-announced_date_first&size=50&start=0

alpha Leonis (Regulus)

論文１）First Results from the CHARA Array. I. An Interferometric and Spectroscopic Study of the Fast Rotator alpha Leonis (Regulus)

H.A. McAlister, T.A. ten Brummelaar, D.R. Gies, W. Huang, W.G. Bagnuolo Jr., M.A. Shure, J. Sturmann, L. Sturmann, N.H. Turner, S.F. Taylor, D.H. Berger, E.K. Baines, E. Grundstrom, C. Ogden, S.T. Ridgway, G. van Belle, Submitted on 13 Jan 2005
https://arxiv.org/abs/astro-ph/0501261

p.1
K-band interferometric observations
CHARA(Center for High Angular Resolution Astronomy at Georgia State University’s) Array
http://www.chara.gsu.edu/CHARA/techreport.html

p.3
The Washington Double Star Catalog
http://ad.usno.navy.mil/wds/wds.html; maintained at the U. S. Naval Observatory

p.6

spectral type B7.
detector DQE

p.10
R. L. Kurucz
http://kurucz.harvard.edu/

論文２）Colder and Hotter: Interferometric imaging of β Cassiopeiae and α Leonis

X. Che, J. D. Monnier, M. Zhao, E. Pedretti, N. Thureau, A. Merand, T. ten Brummelaar, H. McAlister, S.T. Ridgway, N. Turner, J. Sturmann, L. Sturmann, Submitted on 4 May 2011
https://arxiv.org/abs/1105.0740

beta Leonis

###論文３）The Structure of the β Leonis Debris Disk
Nathan D. Stock, Kate Y.L. Su, Wilson Liu, Phil M. Hinz, George H. Rieke, Massimo Marengo, Karl R. Stapelfeldt, Dean C. Hines, David E. Trilling, Submitted on 30 Sep 2010
https://arxiv.org/abs/1010.0003

mu Leonis

###論文４）Planetary companions in K giants beta Cancri, mu Leonis, and beta Ursae Minoris
B.-C. Lee, I. Han, M.-G. Park, D. E. Mkrtichian, A. P. Hatzes, K.-M. Kim, Submitted on 9 May 2014
https://arxiv.org/abs/1405.2127

eta Leonis

###論文５）Elemental abundances of the supergiant stars σ Cygnus and η Leonis
Taner Tanriverdi, Submitted on 14 Dec 2015
https://arxiv.org/abs/1512.04557

##その他

自転する初代星の元素合成計算
http://www-utap.phys.s.u-tokyo.ac.jp/~takashi.hosokawa/shodai14/download/ktakahashi.pdf

恒星の質量，半径等の導出過程を学ぶ
http://www2.nao.ac.jp/~takedayi/ss_phys/presentation/nakamura.pdf

Pipeline Reduction of Binary Light Curves from Large–Scale Surveys
Andrej Prˇsa1,2 and Tomaˇz Zwitter2
https://arxiv.org/pdf/0706.3683.pdf

#わかったこと

近くて大きい星は明るいかもしれない

#わかっていないこと

自転速度を記載していない理由
自転速度が速い星の主要因
Iota Leonisの日本語のwikiは見当たっていない。

#一覧表
ここに掲載したデータは、日本語と英語のwikiの、参考文献を拝見して転載した。
かならずしも英語のwikiのデータが新しく、日本語のwikiが古いということはない。

縦横どちらの表が見やすいかを確認中。

Leonis		Alpha	Beta	Gamma	Delta	Zeta	Theta	Lambda	Mu	Omicron	Epsilon	Iota	Kappa
別名		Regulus	Denebola	Algieba	Zosma	Adhafera	Chertan	Alterf[	Rasalas	Subra	Ras Elased Australis
距離	distance	79.3	35.9	130	58.4	274	165	329	124.1	130	247	79	201
視等級	Apparent magnitude	1.4	2.13	2.37	2.56	3.41	3.35	4.31	3.88	3.52	2.9	4	4.46
質量	Mass	3.8	1.75	1.23	2.2	3	2.75	1.5	1.5	2.1	4.01	1.62	1.44
半径	Radius	4.3	1.72	31.8	2	10	4.3	46	11.4	5.5	23	2.1	17
自転速度	Rotational velocity	317	120	-	181	84	20	6	4.5	-	8.1	16	10

Leonis	別名	距離	視等級	質量	半径	自転速度
		distance	Apparent	Mass	Radius	Rotational
			magnitude			velocity
Alpha	Regulus	79.3	1.4	3.8	4.3	317
Beta	Denebola	35.9	2.13	1.75	1.72	120
Gamma	Algieba	130	2.37	1.23	31.8	-
Delta	Zosma	58.4	2.56	2.2	2	181
Zeta	Adhafera	274	3.41	3	10	84
Theta	Chertan	165	3.35	2.75	4.3	20
Lambda	Alterf[	329	4.31	1.5	46	6
Mu	Rasalas	124.1	3.88	1.5	11.4	4.5
Omicron	Subra	130	3.52	2.1	5.5	-
Epsilon	Ras Elased Australis	247	2.9	4.01	23	8.1
Iota		79	4	1.62	2.1	16
Kappa		201	4.46	1.44	17	10

#参考資料(reference document)
星の軌道予想（カオスシミュレーション）
https://qiita.com/whiteeel/items/01ab44c940764e4afee0

WebGLで宇宙をつくる
https://qiita.com/youhe__/items/2565692fd95b7a1ca945

d3.js で天球儀
https://qiita.com/tohka383/items/06084829064b947494cb

太陽の位置の季節変化「アナレンマ」を計算
https://qiita.com/HMMNRST/items/ec0c3a9e8e5deeac8aa6

PythonでNAIF SPICE TOOLKITを使う
https://qiita.com/eriksoon/items/5c638d43afa9c2c5b380

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#５論文の単語帳

英語	日本語	出現数
the	その	3364
of	の	1573
a	ある	1230
and	そして	1157
to	に	789
in	に	723
is	です	547
for	にとって	538
al	アル	430
m	メートル	420
et	ら	411
from	から	407
with	と	390
are	ある	331
leo	しし座	306
we	我々	305
that	それ	289
n	n	273
s	s	271
by	によって	268
model	モデル	251
at	で	242
this	この	234
as	として	229
kx	kx	229
on	に	219
r	r	218
star	星	207
i	私	206
ii	二	197
k	k	189
stellar	恒星	183
j	j	180
be	ある	179
data	データ	161
h	時間	159
stars	星	159
b	b	156
c	c	152
d	日	134
disk	ディスク	133
l	l	133
which	どっち	129
an	あ	128
g	g	127
v	v	125
w	w	119
p	p	118
log	ログ	116
e	e	115
these	これら	110
was	だった	106
line	線	104
rv	RV	102
has	持っている	101
using	使う	100
observations	観察	99
temperature	温度	99
than	より	99
mass	質量	97
our	私たちの	92
have	持ってる	91
table	表	91
regulus	レグルス	90
measurements	測定値	89
rotating	回転する	89
flux	流れ	86
gravity	重力	86
not	ではない	86
au	au	85
can	できる	85
also	また	84
figure	図	84
it	それ	84
o	○	84
cyg	サイグ	82
fig	図	82
were	だった	81
fit	合う	79
parameters	媒介変数	79
emission	排出	78
excess	過剰	78
km	km	77
surface	表面	77
between	の間に	75
models	模型	75
apj	apj	74
observed	観察された	73
chara	キャラ	72
t	トン	72
radius	半径	71
used	中古	71
darkening	暗くなる	70
fitting	適合する	70
f	f	68
each	各	66
results	結果	66
values	値	66
null	ヌル	65
nt	nt	64
value	値	63
based	基づく	62
angular	角張った	60
its	その	60
all	すべて	59
lines	行	59
show	見せる	59
fe	fe	57
first	最初	56
shown	示されている	56
shows	見せる	56
two	二	56
pt	pt	55
such	そのような	55
velocity	速度	55
abundances	豊富	54
both	両方	53
dust	ほこり	53
interferometric	干渉計	53
rotational	回転する	53
visibility	視認性	53
inclination	傾斜	52
von	フォン	52
zeipel	ツェイペル	52
derived	派生	50
however	しかしながら	50
one	1	50
rotation	回転	50
spectral	波長分布	50
y	よ	50
angle	角度	49
band	紐	49
blinc	瞬き	49
only	のみ	49
or	または	49
source	ソース	49
system	系	49
brightness	輝度	48
cas	cas	48
may	5月	48
teff	テフ	48
baseline	基準線	47
hd	hd	47
non	非	47
period	期間	47
best	最善	46
due	当然	46
position	位置	46
array	配列	45
been	された	45
infrared	赤外線	45
kin	親族	45
polar	極地	45
see	見る	45
then	それから	45
errors	エラー	44
given	与えられた	44
przybilla	プリジラ	44
sin	罪	44
umi	うみ	44
analysis	分析	43
cnc	CNC	43
spectra	波長分布	43
their	彼らの	43
variations	変化	43
error	エラー	42
more	もっと	42
no	いいえ	42
study	調査	42
diameter	直径	41
mas	マス	41
obtained	得た	41
type	型	41
while	しながら	41
consistent	一貫している	40
high	高い	40
image	画像	40
panel	羽目板	40
photometry	測光	40
same	同じ	40
range	範囲	39
respectively	それぞれ	39
standard	標準	39
adopted	採用された	38
fits	合う	38
if	もし	38
kurucz	クルツ	38
rapidly	急速に	38
set	組	38
but	しかし	37
elements	要素	37
radial	半径	37
spectrum	波長分布	37
axis	軸	36
case	場合	36
found	見つかった	36
optical	光学の	36
solid	固体	36
well	よく	36
will	意志	36
would	だろう	36
days	日々	35
debris	デブリ	35
determined	決定	35
main	主	35
lower	下	34
mf	Mf	34
orbital	軌道	34
solar	太陽	34
within	内に	34
distance	距離	33
distribution	分布	33
evolution	進化	33
function	関数	33
mjy	mjy	33
time	時間	33
any	どれか	32
around	まわり	32
because	なぜなら	32
other	その他の	32
point	点	32
sed	sed	32
there	そこ	32
uniform	制服	32
calibrator	較正器	31
crit	批判する	31
mg	mg	31
mips	ミップ	31
present	現在	31
those	それら	31
velocities	速度	31
ca	約	30
comparison	比較	30
equator	赤道	30
into	に	30
long	長いです	30
ratio	比率	30
reduced	減少	30
sky	空	30
wavelength	波長	30
wf	WF	30
ws	WS	30
abundance	豊富	29
belt	帯	29
core	核	29
hr	時	29
modified	修正済み	29
near	近く	29
physical	物理的	29
resolution	解決	29
van	バン	29
above	上に	28
after	後に	28
envelope	封筒	28
expected	期待される	28
larger	大きい	28
mcalister	マリスター	28
much	ずっと	28
profile	横顔	28
calculated	計算済み	27
detected	検出された	27
equatorial	赤道	27
most	最も	27
predicted	予測された	27
science	科学	27
taken	とられた	27
they	彼ら	27
university	大学	27
visibilities	視界	27
disks	円盤	26
effective	効果的	26
fs	fs	26
images	画像	26
large	大	26
limit	限定	26
low	低い	26
observatory	天文台	26
over	超過	26
about	約	25
aperture	口径	25
astronomy	天文学	25
irs	irs	25
measured	測定済み	25
new	新しい	25
photospheric	光球	25
planetary	惑星の	25
projected	投影された	25
resolved	解決した	25
section	節	25
so	そう	25
therefore	したがって	25
when	いつ	25
compared	比較した	24
interferometry	干渉法	24
luminosity	光度	24
result	結果	24
since	以来	24
thus	したがって	24
total	合計	24
upper	上の	24

#文書履歴(document history)
ver. 0.01 初稿 20190409 昼
ver. 0.02 参考文献追記 20190409 午後
ver. 0.03 arXiv Leonis 20190409 夕
ver. 0.04 はてな 20190410 朝
ver. 0.05 単語帳追記 20190415

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