Physical & Astronomical Constants

Physical Constants

Name	Symbol	Number	Exp	CGS Units
speed of light in a vacuum	c	2.99792458	10	cm s^-1
Planck constant	h	6.6260755(40)	-27	erg s
	hbar	1.05457266(63)	-27	erg s
Gravitational constant	G	6.67259(85)	-8	cm³ g^-1 s^-2
Electron charge	e	4.8032068(14)	-10	esu
Mass of electron	m_e	9.1093897(54)	-28	g
Mass of proton	m_p	1.6726231(10)	-24	g
Mass of neutron	m_n	1.6749286(10)	-24	g
Mass of hydrogen	m_H	1.6733	-24	g
Atomic mass unit	amu	1.6605402(10)	-24	g
Avagadro's number	N_A	6.0221367(36)	23
Boltzmann constant	k	1.380658(12)	-16	erg k^-1
Electron volt	eV	1.6021772(50)	-12	erg
Radiation density constant	a	7.5646	-15	erg cm^-3 K^-4
Stefan-Boltzmann constant	sigma	5.67051(19)	-5	erg cm^-2 K^-4 s^-1
Fine structure constant	alpha	7.29735308(33)	-3
Rydberg constant	R	2.1798741(13)	-11	erg

Astronomical Units

Name	Symbol	Number	Exp	CGS Units
Astronomical unit	AU	1.496	13	cm
Parsec	pc	3.086	18	cm
Light year	ly	9.496	17	cm
Solar mass	M_sun	1.99	33	g
Solar radius	R_sun	6.96	10	cm
Solar luminosity	L_sun	3.9	33	erg s^-1
Solar temperature	T_sun	5.780	3	K

Planetary Data

                                     M_Sun=2.0x10³³ g
                                     M_J=1.9x10³⁰ g
                                     M_E=5.6x10²⁷ g

NAME	MASS (M_E)	RADIUS (cm)	PERIOD (yr)	SEMI-MAJOR (AU)	ECCENTRICITY
Mercury	0.06	2.439x10⁸	0.24085	0.387096	0.205622
Venus	0.82	6.050x10⁸	0.61521	0.723342	0.006783
Earth	1.0	6.378x10⁸	1.00004	0.999987	0.016684
Mars	0.11	3.397x10⁸	1.88089	1.523705	0.093404
Jupiter	317.89	7.140x10⁹	11.8622	5.204529	0.047826
Saturn	95.18	6.000x10⁹	29.4577	9.575133	0.052754
Uranus	14.53	2.615x10⁹	84.0139	19.30375	0.050363
Neptune	17.14	2.43x10⁹	16.4793²	30.20652	0.004014

Physical Properties of Main-Sequence Stars

           Columns give:
           1) spectral class, temperature increases going from class M to class O. The spectral type of the sun is G2.
           2) Logarithm of the mass in solar mass units. The mass of the sun is 2x10³³ grams.
           3) Logarithm of the luminosity in solar units. The luminosity of the sun is 4x10³³ erg/s.
           4) Bolometric magnitude.
           5) Visual magnitude.
           6) Logarithm of the radius in solar units. The radius of the sun is 6.96x10⁸ m.
           7) 8) 9) 10) Give the magnitude difference (the color) for varius bands

Class	T_eff	Lg(M/M_sun)	Lg(L/L_sun)	M_bol	M_V	Lg(R/R_sun)	(U-B)	(B-V)	(V-R)	(V-I)
M6	..	-1.0	-2.9	+12.1	+15.5	-0.9	...	...	...	...
M5	3170	-0.8	-2.5	+10.9	+13.9	-0.56	1.22	1.61	...	2.8
M4	..	-0.6	-2.0	+9.7	+12.2	-0.5	...	...	...	...
M2	3520	-0.4	-1.5	+8.4	+10.2	-0.3	...	...	...	...
M0	3840	-0.3	-1.6	+7.5	+8.8	-0.22	1.25	1.40	...	...
K5	4410	-0.2	-0.8	+6.6	+7.5	-0.14	1.09	1.16	0.8	1.5
K0	5150	-0.1	-0.4	+5.6	+5.9	-0.07	0.47	0.85	0.74	1.4
G5	5560	-0.04	-0.1	+4.9	+5.2	-0.04	0.20	0.69	...	...
G2	5790	+0.0	+0.0	+4.7	+4.8	+0.00	0.13	0.65	0.41	0.75
G0	5940	+0.02	+0.2	+4.2	+4.4	+0.04	0.05	0.58	0.52	0.93
F5	6650	+0.11	+0.6	+3.3	+3.4	+0.11	0.01	0.42	...	...
F0	7300	+0.20	+0.8	+2.6	+2.7	+0.18	0.06	0.29	0.30	0.47
A5	8180	+0.30	+1.2	+1.8	+1.9	+0.23	0.11	0.15	...	...
A2	9000	+0.4	+1.6	+0.7	+1.1	+0.32	...	...	...	...
A0	9790	+0.46	+1.8	+0.3	+0.6	+0.38	-0.06	0.00	0.00	0.00
B8	11400	+0.56	+2.3	-1.1	-0.2	+0.49	-0.34	-0.10	...	...
B5	15200	+0.77	+3.0	-2.9	-1.1	+0.58	-0.56	-0.16	...	...
B3	..	+0.88	+3.7	-4.6	-2.2	+0.72	-0.71	-0.20	...	...
B0	30000	+1.24	+4.4	-6.3	3.4	+0.86	-1.08	-0.30	...	...
O8	..	+1.36	+4.9	-7.6	-4.6	+0.93	-1.13	-0.31	...	...
O5	42000	+1.77	+5.4	-8.9	-5.6	+1.08	-1.15	-0.32	...	...
O4	..	+1.8	+6.0	-10.2	-6.3	+1.3	...	...	...	...

Source: ``Galactic Astronomy'' by Mihalas & Binney; Ed. Freeman & Company

T_eff of Giants Stars

Class	T_eff
M5	3380
M2	3540
M0	3690
K5	4050
K2	4390
K0	4660
G8	4800
G5	5050

Source: ``Allen's Astrophysical Quantities'' by Arthur N. Cox

Stellar Surface Gravity & Radius

Main-Sequence Stars

Class	Lg(g/g_sun)	R/R_sun
M8	+0.5	0.10
M5	+0.5	0.27
M2	+0.2	0.50
M0	+0.15	0.65
K5	+0.1	0.72
K0	+0.05	0.85
G5	+0.05	0.92
G0	-0.05	1.1
F5	-0.1	1.3
F0	-0.1	1.5
A5	-0.15	1.7
A0	-0.3	2.4
B8	-0.4	3.0
B5	-0.4	3.9
B3	-0.5	4.8
B0	-0.5	7.4
O8	-0.5	8.5
O6	-0.45	10
O5	-0.4	12
O3	-0.3	15

Source: ``Allen's Astrophysical Quantities'' by Arthur N. Cox

Giants Stars

Class	Lg(g/g_sun)	R/R_sun
M0	-3.1	40
K5	-2.7	25
K0	-2.3	15
G5	-1.9	10
G0	-1.5	5
A0	..	5
B5	-0.95	8
B0	-1.1	15

Source: ``Allen's Astrophysical Quantities'' by Arthur N. Cox

Photon Flux:

Given the passband and the magnitude of an object, the number of tphotons incident at the top of the atmosphere may be estimated using the data in this table:

Band lambda_c dlambda/lambda Flux at m=0 Reference

um Jy

U 0.36 0.15 1810 Bessel (1979)

B 0.44 0.22 4260 Bessel (1979)

V 0.55 0.16 3640 Bessel (1979)

R 0.64 0.23 3080 Bessel (1979)

I 0.79 0.19 2550 Bessel (1979)

J 1.26 0.16 1600 Campins, Reike, & Lebovsky (1985)

H 1.60 0.23 1080 Campins, Reike, & Lebovsky (1985)

K 2.22 0.23 670 Campins, Reike, & Lebovsky (1985)

g 0.52 0.14 3730 Schneider, Gunn, & Hoessel (1983)

r 0.67 0.14 4490 Schneider, Gunn, & Hoessel (1983)

i 0.79 0.16 4760 Schneider, Gunn, & Hoessel (1983)

z 0.91 0.13 4810 Schneider, Gunn, & Hoessel (1983)

Band	lambda_c	dlambda/lambda	Flux at m=0	Reference
	um		Jy
U	0.36	0.15	1810	Bessel (1979)
B	0.44	0.22	4260	Bessel (1979)
V	0.55	0.16	3640	Bessel (1979)
R	0.64	0.23	3080	Bessel (1979)
I	0.79	0.19	2550	Bessel (1979)
J	1.26	0.16	1600	Campins, Reike, & Lebovsky (1985)
H	1.60	0.23	1080	Campins, Reike, & Lebovsky (1985)
K	2.22	0.23	670	Campins, Reike, & Lebovsky (1985)
g	0.52	0.14	3730	Schneider, Gunn, & Hoessel (1983)
r	0.67	0.14	4490	Schneider, Gunn, & Hoessel (1983)
i	0.79	0.16	4760	Schneider, Gunn, & Hoessel (1983)
z	0.91	0.13	4810	Schneider, Gunn, & Hoessel (1983)

Also useful are these identities:

1 Jy = 10^-23 erg sec^-1 cm^-2 Hz^-1
1 Jy = 1.51e7 photons sec^-1 m^-2 (dlambda/lambda)^-1

Example: How many V-band photons are incident per second on an area of 1 m^2 at the top of the atmosphere from a V=23.90 star? From the table, the flux at V=0 is 3640 Jy; hence, at V=23.90 the flux is diminished by a factor 10^(-0.4*V)=2.75e-10, yielding a flux of 1.e-6 Jy. Since dlambda/lambda=0.16 in V, the flux per second on a 1 m^2 aperture is

f=1.e-6 Jy * 1.51e7 * 0.16 = 2.42 photons sec^-1

References:

Bessel, M. S. 1979, PASP, 91, 589
Bessel, M. S. 1983, PASP, 95, 480
Bessel, M. S. 1990, PASP, 102, 1181
Hayes, D. S., & Latham, D. W. 1975, ApJ, 197, 593
Johnson, H. L. & Morgan, W. W. 1953, ApJ, 117, 313

Linear Limb-darkening Coefficieints:

'Claret 2000 table' From Vizier Astronomical Table & Catalogue( http://vizier.cfa.harvard.edu/viz-bin/VizieR?-source=J/A+A/363/1081 )

log g log(g/g_sun) Teff Gamma

[cm/s2] [sun:27400cm/s2] [K] U B V R I

3.5 -0.93775 2000 1.250271 1.257329 1.211991 1.115265 1.024194

4 -0.43775 2000 1.213712 1.232759 1.188098 1.09119 1.004507

4.5 0.062249 2000 1.188098 1.208556 1.169572 1.078502 0.997003

5 0.562249 2000 1.162889 1.17965 1.149606 1.064351 0.989537

3.5 -0.93775 2200 1.191489 1.217158 1.201708 1.118503 1.031834

4 -0.43775 2200 1.164557 1.19659 1.174603 1.088008 1.007519

4.5 0.062249 2200 1.143007 1.184713 1.161222 1.07377 1.003003

5 0.562249 2200 1.116883 1.157895 1.138075 1.058104 0.995507

3.5 -0.93775 2400 1.089598 1.136435 1.152916 1.083248 1.007519

4 -0.43775 2400 1.084833 1.123373 1.126628 1.053435 0.98359

4.5 0.062249 2400 1.078502 1.125 1.118503 1.041054 0.98359

5 0.562249 2400 1.05033 1.108808 1.102378 1.024194 0.980626

3.5 -0.93775 2600 0.939735 0.998501 1.030303 0.968827 0.899952

4 -0.43775 2600 0.974715 1.019628 1.039514 0.971768 0.911208

4.5 0.062249 2600 0.977667 1.02267 1.031834 0.95858 0.904163

5 0.562249 2600 0.965892 1.033367 1.034901 0.957122 0.915452

3.5 -0.93775 2800 0.822201 0.880461 0.890173 0.819549 0.756086

4 -0.43775 2800 0.857143 0.909796 0.922552 0.847651 0.790698

4.5 0.062249 2800 0.86533 0.911208 0.925402 0.853067 0.791996

5 0.562249 2800 0.872188 0.929688 0.938296 0.859867 0.805049

3.5 -0.93775 3000 0.766252 0.827521 0.814259 0.733485 0.680965

4 -0.43775 3000 0.738476 0.788104 0.797203 0.722323 0.653693

4.5 0.062249 3000 0.743484 0.785515 0.802429 0.73224 0.654867

5 0.562249 3000 0.771363 0.820874 0.834199 0.758621 0.685765

3.5 -0.93775 3200 0.752294 0.838221 0.81294 0.711252 0.684564

4 -0.43775 3200 0.70514 0.763703 0.766252 0.682164 0.618944

4.5 0.062249 3200 0.685765 0.729754 0.744739 0.669039 0.588438

5 0.562249 3200 0.682164 0.722323 0.740978 0.669039 0.580645

3.5 -0.93775 3400 0.754821 0.897151 0.858504 0.721088 0.728513

4 -0.43775 3400 0.692998 0.782931 0.7894 0.684564 0.631579

4.5 0.062249 3400 0.654867 0.712477 0.729754 0.647838 0.564103

5 0.562249 3400 0.635046 0.679768 0.697842 0.62697 0.531646

3.5 -0.93775 3600 0.76116 0.962963 0.928258 0.758621 0.779064

4 -0.43775 3600 0.676182 0.826189 0.842255 0.707581 0.665482

4.5 0.062249 3600 0.624672 0.714932 0.743484 0.65252 0.560819

5 0.562249 3600 0.592913 0.656042 0.679768 0.608696 0.504174

3.5 -0.93775 3800 0.771363 1.004507 1 0.832861 0.818225

4 -0.43775 3800 0.65252 0.870813 0.901354 0.764977 0.695418

4.5 0.062249 3800 0.594034 0.74223 0.781641 0.690583 0.580645

5 0.562249 3800 0.557545 0.650177 0.676182 0.610966 0.49066

3.5 -0.93775 4000 0.597403 0.81294 0.81558 0.740978 0.591793

4 -0.43775 4000 0.612103 0.838221 0.873563 0.790698 0.642008

4.5 0.062249 4000 0.564103 0.779064 0.823529 0.735978 0.603037

5 0.562249 4000 0.532714 0.667852 0.690583 0.628121 0.498959

3.5 -0.93775 4200 0.586207 0.786809 0.757353 0.664298 0.544529

4 -0.43775 4200 0.625821 0.847651 0.855783 0.784223 0.620087

4.5 0.062249 4200 0.598528 0.855783 0.887392 0.810304 0.651348

5 0.562249 4200 0.54022 0.738476 0.757353 0.685765 0.547771

3.5 -0.93775 4400 0.604167 0.788104 0.739726 0.637363 0.528445

4 -0.43775 4400 0.665482 0.859867 0.826189 0.743484 0.598528

4.5 0.062249 4400 0.581756 0.807674 0.790698 0.70514 0.569593

5 0.562249 4400 0.553191 0.803738 0.808989 0.727273 0.588438

3.5 -0.93775 4600 0.62697 0.780352 0.708804 0.607562 0.505219

4 -0.43775 4600 0.703921 0.866699 0.799813 0.702703 0.580645

4.5 0.062249 4600 0.608696 0.811621 0.757353 0.660754 0.544529

5 0.562249 4600 0.564103 0.794597 0.758621 0.664298 0.546689

3.5 -0.93775 4800 0.647838 0.775208 0.683363 0.586207 0.488594

4 -0.43775 4800 0.743484 0.868069 0.779064 0.677376 0.568493

4.5 0.062249 4800 0.637363 0.807674 0.737226 0.635046 0.528445

5 0.562249 4800 0.580645 0.784223 0.727273 0.62697 0.521008

3.5 -0.93775 5000 0.682164 0.773925 0.673797 0.57732 0.48139

4 -0.43775 5000 0.718623 0.810304 0.710027 0.612103 0.513615

4.5 0.062249 5000 0.642008 0.781641 0.699055 0.599653 0.5

5 0.562249 5000 0.595156 0.768805 0.701486 0.60078 0.5

3.5 -0.93775 5200 0.680965 0.75989 0.649007 0.556455 0.464066

4 -0.43775 5200 0.724796 0.793296 0.683363 0.589555 0.494802

4.5 0.062249 5200 0.658396 0.768805 0.674989 0.579536 0.483444

5 0.562249 5200 0.612103 0.757353 0.678571 0.581756 0.484472

3.5 -0.93775 5400 0.673797 0.745995 0.628121 0.536998 0.446982

4 -0.43775 5400 0.723559 0.776492 0.660754 0.568493 0.476269

4.5 0.062249 5400 0.670227 0.756086 0.65252 0.560819 0.467105

5 0.562249 5400 0.631579 0.745995 0.656042 0.563007 0.469136

3.5 -0.93775 5600 0.667852 0.73224 0.610966 0.521008 0.431118

4 -0.43775 5600 0.719855 0.76116 0.640845 0.55102 0.461034

4.5 0.062249 5600 0.676182 0.74223 0.632734 0.542373 0.451982

5 0.562249 5600 0.645503 0.727273 0.632734 0.543451 0.453988

3.5 -0.93775 5800 0.663116 0.717391 0.594034 0.506266 0.417405

4 -0.43775 5800 0.717391 0.745995 0.624672 0.534854 0.445985

4.5 0.062249 5800 0.679768 0.728513 0.615519 0.52738 0.438033

5 0.562249 5800 0.656042 0.713704 0.61324 0.52738 0.439024

3.5 -0.93775 7000 0.603037 0.645503 0.52738 0.440016 0.355713

4 -0.43775 7000 0.658396 0.667852 0.554278 0.46812 0.382844

4.5 0.062249 7000 0.642008 0.644337 0.536998 0.454992 0.373418

5 0.562249 7000 0.638522 0.633889 0.531646 0.45098 0.371542

3.5 -0.93775 7200 0.590674 0.635046 0.518892 0.432104 0.348337

4 -0.43775 7200 0.642008 0.649007 0.539145 0.455997 0.373418

4.5 0.062249 7200 0.630425 0.633889 0.52738 0.445985 0.364998

5 0.562249 7200 0.628121 0.623524 0.522068 0.442002 0.363135

3.5 -0.93775 7400 0.57732 0.625821 0.511511 0.425222 0.342835

4 -0.43775 7400 0.629273 0.638522 0.530578 0.44798 0.366864

4.5 0.062249 7400 0.616659 0.622378 0.517835 0.437043 0.357564

5 0.562249 7400 0.616659 0.61324 0.512563 0.434077 0.355713

3.5 -0.93775 7600 0.564103 0.614379 0.501042 0.415459 0.33463

4 -0.43775 7600 0.61324 0.625821 0.51995 0.438033 0.358491

4.5 0.062249 7600 0.604167 0.612103 0.508361 0.42915 0.350176

5 0.562249 7600 0.603037 0.601908 0.503129 0.425222 0.348337

3.5 -0.93775 7800 0.556455 0.607562 0.49273 0.405774 0.327386

4 -0.43775 7800 0.599653 0.614379 0.50941 0.428167 0.350176

4.5 0.062249 7800 0.591793 0.601908 0.501042 0.422285 0.344666

5 0.562249 7800 0.589555 0.590674 0.493766 0.416432 0.341007

3.5 -0.93775 8000 0.556455 0.608696 0.483444 0.396166 0.319289

4 -0.43775 8000 0.587322 0.604167 0.5 0.419355 0.342835

4.5 0.062249 8000 0.576213 0.589555 0.489627 0.411576 0.336449

5 0.562249 8000 0.57732 0.581756 0.485501 0.409639 0.33463

3.5 -0.93775 8200 0.556455 0.610966 0.475248 0.384738 0.311248

4 -0.43775 8200 0.580645 0.603037 0.49584 0.412545 0.336449

4.5 0.062249 8200 0.564103 0.579536 0.479339 0.402883 0.328289

5 0.562249 8200 0.564103 0.569593 0.475248 0.40096 0.327386

3.5 -0.93775 8400 0.547771 0.596279 0.464066 0.377179 0.305919

4 -0.43775 8400 0.580645 0.599653 0.49066 0.409639 0.335539

4.5 0.062249 8400 0.552105 0.570694 0.470152 0.393299 0.321083

5 0.562249 8400 0.55102 0.558635 0.465078 0.391391 0.320186

3.5 -0.93775 8600 0.535926 0.580645 0.452984 0.368733 0.299732

4 -0.43775 8600 0.57732 0.603037 0.477291 0.392344 0.320186

4.5 0.062249 8600 0.544529 0.567394 0.465078 0.386635 0.314815

5 0.562249 8600 0.536998 0.547771 0.454992 0.382844 0.31303

3.5 -0.93775 8800 0.52419 0.566296 0.442997 0.360346 0.293578

4 -0.43775 8800 0.563007 0.594034 0.463054 0.376238 0.306805

4.5 0.062249 8800 0.545609 0.569593 0.459016 0.380952 0.309469

5 0.562249 8800 0.526316 0.54022 0.445985 0.373418 0.305033

3.5 -0.93775 9000 0.52419 0.556455 0.438033 0.359418 0.293578

4 -0.43775 9000 0.544529 0.570694 0.445985 0.364066 0.29709

4.5 0.062249 9000 0.532714 0.567394 0.439024 0.356638 0.28833

5 0.562249 9000 0.515723 0.54022 0.439024 0.364066 0.294455

3.5 -0.93775 9200 0.512563 0.544529 0.428167 0.352019 0.287457

4 -0.43775 9200 0.541296 0.560819 0.439024 0.360346 0.295333

4.5 0.062249 9200 0.521008 0.553191 0.42915 0.349256 0.283105

5 0.562249 9200 0.51046 0.538071 0.42915 0.352941 0.285714

3.5 -0.93775 9400 0.511511 0.534854 0.423263 0.348337 0.285714

4 -0.43775 9400 0.531646 0.548853 0.431118 0.354788 0.290076

4.5 0.062249 9400 0.51046 0.54022 0.419355 0.34192 0.27704

5 0.562249 9400 0.505219 0.54022 0.417405 0.339181 0.273588

3.5 -0.93775 9600 0.498959 0.52419 0.414487 0.34192 0.279635

4 -0.43775 9600 0.517835 0.536998 0.421308 0.347418 0.283105

4.5 0.062249 9600 0.5 0.529511 0.411576 0.335539 0.271867

5 0.562249 9600 0.496879 0.534854 0.413516 0.33463 0.268431

3.5 -0.93775 9800 0.493766 0.514669 0.409639 0.339181 0.278769

4 -0.43775 9800 0.50941 0.526316 0.414487 0.34192 0.279635

4.5 0.062249 9800 0.493766 0.521008 0.40481 0.331002 0.268431

5 0.562249 9800 0.486531 0.516779 0.4 0.325581 0.262443

Sloan filters

log g	log(g/g_sun)	Teff	Gamma in Sloan filter (wavelength)
log g	log(g/g_sun)	Teff	u'	g'	r'	i'	z'
[cm/s2]	[sun:27400cm/s2]	[K]	(3543 A)	(4770 A)	(6231 A)	(7625 A)	(9134 A)
0	-4.43775	3500	0.702216	0.84212	0.807937	0.665719	0.571465
0.5	-3.93775	3500	0.731121	0.862049	0.801251	0.651582	0.563007
1	-3.43775	3500	0.759382	0.874114	0.790698	0.63771	0.556455
1.5	-2.93775	3500	0.780352	0.880046	0.77855	0.624902	0.551671
2	-2.43775	3500	0.791477	0.881568	0.766252	0.613354	0.548528
2.5	-1.93775	3500	0.792646	0.877974	0.754947	0.603376	0.546797
3	-1.43775	3500	0.779322	0.855375	0.741479	0.591681	0.540005
3.5	-0.93775	3500	0.732365	0.777906	0.70697	0.565418	0.506789
4	-0.43775	3500	0.68769	0.704652	0.663944	0.53464	0.46812
4.5	0.062249	3500	0.657572	0.660754	0.632618	0.513089	0.441804
5	0.562249	3500	0.636667	0.634699	0.610852	0.498855	0.424536
0	-4.43775	3750	0.78061	0.831524	0.76485	0.647954	0.552974
0.5	-3.93775	3750	0.796551	0.850492	0.769316	0.642473	0.545069
1	-3.43775	3750	0.811885	0.860957	0.769955	0.635625	0.538178
1.5	-2.93775	3750	0.821936	0.864782	0.768294	0.628006	0.5325
2	-2.43775	3750	0.822334	0.862595	0.76485	0.619973	0.528232
2.5	-1.93775	3750	0.811885	0.855511	0.760017	0.611989	0.52504
3	-1.43775	3750	0.791736	0.842928	0.753936	0.603828	0.522386
3.5	-0.93775	3750	0.75634	0.80912	0.735479	0.588885	0.511616
4	-0.43775	3750	0.702094	0.72963	0.680606	0.552214	0.473717
4.5	0.062249	3750	0.654045	0.654632	0.618715	0.51025	0.430232
5	0.562249	3750	0.624213	0.611875	0.577652	0.480979	0.401441
0	-4.43775	4000	0.88226	0.816373	0.72257	0.611875	0.533677
0.5	-3.93775	4000	0.894356	0.837282	0.727149	0.609263	0.527486
1	-3.43775	4000	0.903179	0.851169	0.729506	0.606882	0.52175
1.5	-2.93775	4000	0.905147	0.859185	0.730997	0.605071	0.517201
2	-2.43775	4000	0.897011	0.860412	0.731618	0.603602	0.513721
2.5	-1.93775	4000	0.877974	0.856599	0.731743	0.602021	0.510986
3	-1.43775	4000	0.848056	0.847516	0.731121	0.599766	0.508781
3.5	-0.93775	4000	0.808857	0.831524	0.728637	0.596279	0.506475
4	-0.43775	4000	0.75824	0.792906	0.707826	0.580423	0.492937
4.5	0.062249	4000	0.697963	0.714932	0.645969	0.53614	0.452383
5	0.562249	4000	0.651816	0.640845	0.578538	0.486531	0.407415
0	-4.43775	4250	0.91531	0.790049	0.688533	0.581422	0.51067
0.5	-3.93775	4250	0.928401	0.811358	0.69324	0.578649	0.50637
1	-3.43775	4250	0.937001	0.826056	0.695055	0.57566	0.501981
1.5	-2.93775	4250	0.940456	0.835807	0.695781	0.573451	0.498334
2	-2.43775	4250	0.937145	0.840775	0.695902	0.572237	0.495633
2.5	-1.93775	4250	0.925117	0.84239	0.696508	0.572237	0.493973
3	-1.43775	4250	0.902477	0.839968	0.697235	0.573009	0.492833
3.5	-0.93775	4250	0.868754	0.832861	0.697842	0.574113	0.492108
4	-0.43775	4250	0.824593	0.819416	0.697235	0.574444	0.491177
4.5	0.062249	4250	0.769955	0.786421	0.679289	0.561585	0.479544
5	0.562249	4250	0.713091	0.719485	0.623295	0.519632	0.442897
0	-4.43775	4500	0.891288	0.758494	0.653576	0.55417	0.484575
0.5	-3.93775	4500	0.914177	0.780739	0.660872	0.5533	0.483033
1	-3.43775	4500	0.9274	0.794207	0.662879	0.550587	0.480261
1.5	-2.93775	4500	0.934559	0.805049	0.665008	0.54907	0.478519
2	-2.43775	4500	0.934129	0.810831	0.665364	0.547446	0.476678
2.5	-1.93775	4500	0.927829	0.814787	0.666193	0.546906	0.475554
3	-1.43775	4500	0.913753	0.815712	0.666785	0.547014	0.474839
3.5	-0.93775	4500	0.89073	0.813731	0.667615	0.547771	0.474635
4	-0.43775	4500	0.858232	0.808069	0.66809	0.548961	0.474839
4.5	0.062249	4500	0.818887	0.798769	0.667971	0.550045	0.474941
5	0.562249	4500	0.771619	0.776107	0.655572	0.541834	0.467613
0	-4.43775	4750	0.832861	0.728017	0.619287	0.527912	0.460933
0.5	-3.93775	4750	0.867521	0.749645	0.627661	0.528978	0.460226
1	-3.43775	4750	0.891845	0.762813	0.630771	0.52738	0.458009
1.5	-2.93775	4750	0.907822	0.7729	0.633774	0.526741	0.457304
2	-2.43775	4750	0.914461	0.778678	0.635278	0.525997	0.456701
2.5	-1.93775	4750	0.913894	0.782931	0.637131	0.525997	0.456701
3	-1.43775	4750	0.906132	0.785386	0.638638	0.526316	0.457002
3.5	-0.93775	4750	0.891009	0.786291	0.640148	0.527061	0.457506
4	-0.43775	4750	0.867246	0.784352	0.641194	0.527912	0.45811
4.5	0.062249	4750	0.836209	0.780481	0.642124	0.529191	0.459016
5	0.562249	4750	0.800205	0.774053	0.642357	0.530258	0.459722
0	-4.43775	5000	0.774695	0.700999	0.587434	0.499583	0.439223
0.5	-3.93775	5000	0.810436	0.719608	0.594931	0.501981	0.438231
1	-3.43775	5000	0.84064	0.732614	0.598978	0.502503	0.436647
1.5	-2.93775	5000	0.863552	0.740727	0.601682	0.502607	0.435658
2	-2.43775	5000	0.878526	0.745744	0.603602	0.502816	0.43546
2.5	-1.93775	5000	0.887253	0.750779	0.606882	0.504069	0.436548
3	-1.43775	5000	0.887809	0.753683	0.60949	0.505324	0.437835
3.5	-0.93775	5000	0.881014	0.755833	0.612103	0.506894	0.439322
4	-0.43775	5000	0.866288	0.756466	0.614607	0.508571	0.441009
4.5	0.062249	5000	0.843737	0.755707	0.616659	0.510355	0.442798
5	0.562249	5000	0.814787	0.752672	0.617687	0.511827	0.444191
0	-4.43775	5250	0.724919	0.672368	0.553735	0.465078	0.414584
0.5	-3.93775	5250	0.7552	0.686968	0.559181	0.468019	0.412545
1	-3.43775	5250	0.78461	0.699177	0.564651	0.471679	0.412642
1.5	-2.93775	5250	0.813203	0.711252	0.572237	0.477189	0.415264
2	-2.43775	5250	0.833129	0.715915	0.574334	0.478417	0.41507
2.5	-1.93775	5250	0.84738	0.719115	0.576656	0.480159	0.415945
3	-1.43775	5250	0.855783	0.722076	0.579758	0.482416	0.417698
3.5	-0.93775	5250	0.858096	0.724672	0.583201	0.484987	0.420038
4	-0.43775	5250	0.853338	0.726901	0.586987	0.487975	0.422774
4.5	0.062249	5250	0.840237	0.727397	0.589667	0.49035	0.425222
5	0.562249	5250	0.820212	0.726529	0.591793	0.492626	0.427577
0	-4.43775	5500	0.688413	0.657807	0.529084	0.435559	0.396453
0.5	-3.93775	5500	0.709905	0.662052	0.530898	0.43843	0.391963
1	-3.43775	5500	0.733734	0.670821	0.534319	0.441506	0.390057
1.5	-2.93775	5500	0.761287	0.682044	0.542481	0.449379	0.393681
2	-2.43775	5500	0.780223	0.683843	0.543127	0.45078	0.392822
2.5	-1.93775	5500	0.800205	0.689256	0.54842	0.455896	0.395975
3	-1.43775	5500	0.813203	0.691186	0.551237	0.458714	0.397794
3.5	-0.93775	5500	0.822998	0.69457	0.555584	0.46265	0.400864
4	-0.43775	5500	0.826589	0.697114	0.55929	0.466091	0.403846
4.5	0.062249	5500	0.822998	0.697963	0.562022	0.468831	0.406546
5	0.562249	5500	0.812412	0.697842	0.564541	0.471679	0.409445
0	-4.43775	5750	0.672368	0.682523	0.54022	0.433287	0.405099
0.5	-3.93775	5750	0.678332	0.6656	0.520055	0.418965	0.38256
1	-3.43775	5750	0.689377	0.648656	0.509725	0.416529	0.372667
1.5	-2.93775	5750	0.70807	0.652989	0.512352	0.420331	0.371354
2	-2.43775	5750	0.728141	0.65616	0.515829	0.42532	0.372479
2.5	-1.93775	5750	0.749393	0.66099	0.52175	0.431808	0.376144
3	-1.43775	5750	0.765997	0.663234	0.525465	0.436251	0.37897
3.5	-0.93775	5750	0.779451	0.6656	0.529084	0.440413	0.381992
4	-0.43775	5750	0.788363	0.667259	0.532287	0.443892	0.384832
4.5	0.062249	5750	0.793556	0.669395	0.536033	0.447881	0.388345
5	0.562249	5750	0.791217	0.669395	0.538178	0.45078	0.3912
0	-4.43775	6000	0.655455	0.684684	0.536891	0.426694	0.408188
0.5	-3.93775	6000	0.66099	0.682164	0.528125	0.4176	0.389391
1	-3.43775	6000	0.663116	0.663707	0.508047	0.404135	0.368452
1.5	-2.93775	6000	0.668446	0.635162	0.493455	0.401345	0.358305
2	-2.43775	6000	0.683483	0.636899	0.496152	0.40587	0.357656
2.5	-1.93775	6000	0.700149	0.63771	0.498855	0.410413	0.358676
3	-1.43775	6000	0.71653	0.638058	0.501459	0.414681	0.360625
3.5	-0.93775	6000	0.730997	0.638058	0.503965	0.418672	0.363135
4	-0.43775	6000	0.745116	0.640032	0.507942	0.423459	0.367051
4.5	0.062249	6000	0.7552	0.641543	0.511196	0.427381	0.370417
5	0.562249	6000	0.759001	0.641078	0.512668	0.430035	0.373042

Physical & Astronomical Constants

Physical Constants

Astronomical Units

Planetary Data

Physical Properties of Main-Sequence Stars

Teff of Giants Stars

Stellar Surface Gravity & Radius

Main-Sequence Stars

Giants Stars

Photon Flux:

Linear Limb-darkening Coefficieints:

Sloan filters

T_eff of Giants Stars