Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://www.issp.ac.ru/iao/2014/booklet/ia14_booklet_en1_page_B04-06.pdf Äàòà èçìåíåíèÿ: Wed Oct 22 22:00:54 2014 Äàòà èíäåêñèðîâàíèÿ: Sun Apr 10 05:29:51 2016 Êîäèðîâêà: Ïîèñêîâûå ñëîâà: rigel

EURO­ASIAN ASTRONOMICAL SOCIETY

R o u n d G r o u p
lan lan gu gu age age

Theo

XI XI International Astronomy Olympiad
­ - 12 ­ 2 1 . X . 2 0 1 4 Bishkek ­ Cholpon-Ata











English

. , , Parameters of orbits. Physical characteristics of some planets, Moon, Sun and Eris
, . . . Average distance to central body in in astr. 6 units 10 km 1 ,6 · 1 0
9

Body, Planet

( ) - , , . i Sidereal period Orbital Ec(or analogous) inclin- centriin ation, city tropical in i years days 2 ,2 · 1 0
8

. Equat. diameter km

10
24

- . . - . . / Av. density g/cm
3





Mass 10
24

/ Grav. accelr. at surf. m/s
2

2

. , . **) Max. magn. From Earth **) -26,74
m

Axial tilt

Albedo

kg

3

Sun Mercury Venus Earth Moon Mars Jupiter Saturn Eris

2 ,5 · 1 0

11

8 ·1 0 87,969

10

1392000 1989000 7 ,0 0 ° 0 ,2 0 6 3 ,4 0 0 ,0 0 5 ,1 5 1 ,8 5 1 ,3 0 2 ,4 8 4 3 ,8 2 0 ,0 0 7 0 ,0 1 7 0 ,0 5 5 0 ,0 9 3 4 879 12 104 12 756 3 475 6 794 0 ,3 3 0 2 4 ,8 6 9 0 5 ,9 7 4 2 0,07348 0 ,6 4 1 9 1 8 9 9 ,8 5 6 8 ,5 0 0 ,0 1 6 7

1 ,4 0 9 5 ,4 3 5 ,2 4 5 ,5 1 5 3 ,3 4 3 ,9 4 1 ,3 3 0 ,7 0 2,52 3 ,7 0 0 ,0 1 °

0 ,3 8 7 0 ,7 2 3 1 ,0 0 0 0,00257 1 ,5 2 4 5 ,2 0 4 9 ,5 8 4 68,05

5 7 ,9 1 0 8 ,2 1 4 9 ,6 0 ,3 8 4 4 0 2 2 7 ,9 7 7 8 ,6 1 4 3 3 ,7

0 ,2 4 1 0 ,6 1 5 1 ,0 0 0 0 ,0 7 4 8 1 ,8 8 0 1 1 ,8 6 2

0 ,0 6 0 ,7 8 0 ,3 6 -12,7 -2,0 -2,7 0 ,7
m

224,7007 3 6 5 ,2 5 6 4 2 7 ,3 2 1 7 6 8 6 ,9 8 4 3 3 2 ,5 9

8 ,8 7 1 7 7 ,3 6 9 ,8 1 1 ,6 2 3 ,7 1 2 4 ,8 6 1 0 ,4 1 0,7 2 3 ,4 4 6 ,7 2 5 ,1 9 3 ,1 3 26,73

0 ,0 7 0 ,1 5 0 ,6 6 0 ,6 8 0,96

m

0 ,0 4 8 1 4 2 9 8 4 0,054 120 536 0 ,4 3 5 2 326

m

2 9 ,4 5 8 1 0 7 5 9 ,2 0 205 029

m

**) ­ . **) For outer planets and Moon ­ in mean opposition.

* Precession
, ­ - 2014



Equation of time

B i s h ke k ­ C h o l p o n - A t a , K y r g y z s t a n




EURO­ASIAN ASTRONOMICAL SOCIETY

R o u n d G r o u p
lan lan gu gu age age

Theo

XI XI International Astronomy Olympiad
­ - 12 ­ 2 1 . X . 2 0 1 4 Bishkek ­ Cholpon-Ata











English

Some constants and formulae
, c (/) , G (· / ) , A (/2) , H0 (//)
2 2

299 792 458 6.674·10 1367 71 50-100 6.626·10 1.602·10 9.109·10 96 485 1.257·10 8.314 1.381·10
-23 -8 -6 -34 -19 -31 -11

Speed of light in vacuum, c (m/s) Constant of gravitation, G (N·m2/kg2) Solar constant, A (W/m2) mean value Hubble parameter, diapason of values H0 (km/s/Mpc) Plank constant, h (J·s) Charge of electron, e (C) Mass of electron, me (kg) Proton-to-electron ratio Faraday constant, F (C/mol) Magnetic constant, 0 (H/m) Universal gas constant, R (J/mol/K) Boltzmann constant, k (J/K) Stefan-Boltzmann constant, (W/m2/K4) Wien's displacement constant, b (m·K) Laboratory wavelength of H (å) Tropical year length, T (days) Standard atmosphere (Pa) Visible light extinction by the terrestrial atmosphere in zenith (minimum) Height of homogeneous atmosphere (m) Refractive index of water for 20°C, n

, h (·) , e () , me () , F (/) , 0 (/) , R (//K) , k (/K) -, (/2/K4) , b (·K) H (å) , T () () 1 () () 20°C, n e ,

1836.15

5.670·10

0.002897 6562.81 365.242199 101 325 19%, 0.23 7991 1.334 I = / 5 MR
4 2
2 3 m

Moment of inertia of a solid ball Volume of a ball Area of sphere e Golden ratio,

V = /3 R S = 4R
2

3.14159265 2.71828183 1.61803399

Coordinates

Bishkek

- Cholpon-Ata

( E / .. ) ( N / c.. )
Timezone

74° 34' 42° 52' UT+6

77° 05' 42° 39' UT+6
2014 B i s h ke k ­ C h o l p o n - A t a , K y r g y z s t a n

, ­ -




EURO­ASIAN ASTRONOMICAL SOCIETY

R o u n d G r o u p
lan lan gu gu age age

Theo

XI XI International Astronomy Olympiad
­ - 12 ­ 2 1 . X . 2 0 1 4 Bishkek ­ Cholpon-Ata











English
m SC A7 G5+G0 K1 F0 A2 G2 K1 B1 A1 B2 F5 B0 B0 M4 A2 B3 A1+A2 K0 B7 A0 M2 B8 B2 A3 M1+B4 B2 K5 B7 B1

28
RA - Altair Capella Arcturus Canopus Miaplacidus Toliman (Rigel Kent) Hadar Sirius Adara Procyon Acrux Becrux Gacrux Deneb Achernar Castor Pollux Regulus Vega Betelgeuse Rigel Bellatrix Fomalhaut Antares Shaula Aldebaran Elnath Spica Aql Aur Boo Car Car Cen Cen CMa CMa CMi Cru Cru Cru Cyg Eri Gem Gem Leo Lyr Ori Ori Ori PsA Sco Sco Tau Tau Vir 19 05 14 06 09 14 14 06 06 07 12 12 12 20 01 07 07 10 18 05 05 05 22 16 17 04 05 13
h h h h h h h h h h h h h h h h h h h h h h h h h h h h

28 brightest stars in the sky
DEC 47 41 38 57 12 36 49 09 38 18 36 43 10 26 43 36 19 22 56 10 32 08 39 24 37 55 18 12
s s s s s s s s s s s s s s s s s s s s s s s s s s s s

p 0".195 0".073 0".089 0".028 0".029 0".747 0".009 0".375 0".008 0".288 0".010 0".009 0".037 0".002 0".026 0".065 0".097 0".041 0".123 0".005 0".013 0".013 0".130 0".024 0".005 0".048 0".025 0".023

50 16 15 23 13 39 03 45 58 39 26 47 31 41 37 34 45 08 36 55 14 25 57 29 33 35 26 25

m m m m m m m m m m m m m m m m m m m m m m m m m m m m

08° 52' 06" 45° 59' 53" 19° 10' 57" -52° 41' 45" -69° 43' 02" -60° 50' 07" -60° 22' 23" -16° 42' 58" -28° 58' 19" 05° 13' 30" -63° 05' 57" -59° 41' 20" -57° 06' 48" 45° 16' 49" -57° 14' 12" 31° 53' 18" 28° 01' 35" 11° 58' 02" 38° 47' 01" 07° 24' 25" -08° 12' 06" 06° 20' 59" -29° 37' 20" -26° 25' 55" -37° 06' 14" 16° 30' 33" 28° 36' 27" -11° 09' 41"

0m.77 0 .08 -0 .04
m m m V m

-0m.72 1 .68 -0 .01 1m.33 0m.61 -1 .46 1m.50 0 .38 0 .77 1 .30 1m.60 1 .25 0 .46 1 .58 1m.14 1 .35 0 .03 0 .5
m m m m V m m m m m m m m m

0m.12 1 .64 1 .16 0 .96 1m.62 0 .85
m m m V

1 .66 0 .98


Hamal Sheratan Thuban Rastaban Etamin Polaris Kochab Pherkad Yildun Proxima Centauri Ari Ari Dra Dra Dra UMi UMi UMi UMi
V645 Cen, Cen C

Some other stars
s s s s s s s s s s

02h 07 01 54 14 04 17 30 17 56 02 31 14 50 15 20 17 32 14h 29
h h h h h h h h

m m m m m m m m m m

10 39 23 26 36 49 42 44 19 43

23° 27' 45" 20° 48' 30" 64° 22' 33" 52° 18' 05" 51° 29' 20" 89° 15' 51" 74° 09' 20" 71° 50' 02" 86° 35' 11" -62° 40' 46"

0".050 0".055 0".011 0".009 0".021 0".007 0".025 0".007 0".019 0".769

2m.01 2 .64 3 .65 2 .79 2 .24 1 .97
m m V m m m m

K2 A5 A0 G2 K5 F7 K4 A3 A1 M5.5

2 .07 3 .06
m m V

4 .35 11m.05

, ­ -

2014

B i s h ke k ­ C h o l p o n - A t a , K y r g y z s t a n