3 Tusaalooyin oo ka mid ah sharciyada Kepler
1. Masaafada celceliska u dhaxaysa meeraha Dhulka ilaa qorraxda waa 149,6 x 106 km iyo muddada kacaanka Dhulku waa 1 sano. Waa maxay saamiga joogtada ah ee labajibbaaranaha muddada iyo saddexjibbaaranaha masaafada celceliska ah ee Dhulka ilaa Qorraxda?
Dood
Su'aashani waxay la xiriirtaa Sharciyada Kepler.
Waa la ogyahay in:
T = 1 sano, r = 149,6 x 106 km
La weydiiyay: T2 /r3 = …?
Jawaab:
k = T 2 / r 3 = 1 2 / (149,6 x 10 6 ) 3 = 1 / (3348071,9 x 10 18 ) = 2,98 x 10 -25 sano 2 /km 3
2. Joogtada saamiga muddada kacaanka meeraha ilaa saddexjibbaarka masaafada celceliska meeraha uu u jiro qorraxda waa isku mid dhammaan meerayaasha. Joogtada waxaa lagu xisaabin karaa qaacidada:
Halkee ayay qaacidadani ka timid? Ka baro agabka ku saabsan sharciyada Kepler.
Macluumaadka:
G = joogto cufisjiidadka guud = 6,67 x 10-11 Nm2/ kg2
m = cufka qorraxda = 1,99 x 1030 kg
pi = 3,14
Xisaabi joogtada saamiga adigoo isticmaalaya qaacidada kore. Isticmaal cutubka muddada = sano iyo cutubka masaafada = kiiloomitir.
Dood
3. Masaafada celceliska u dhaxaysa meeraha Dhulka ilaa qorraxda waa 149,6 x 106 km, celceliska masaafada meeraha Mercury waa 57,9 x 10.6 km. Muddada kacaanka dhulku waa 1 sano, waa maxay xilligii kacaanka meeraha Mercury?
Dood
Waa la ogyahay in:
r ee dhulka = 149,6 x 106 km
r ee meerkuriga = 57,9 x 106 km
Dhulka T = 1 sano
La weydiiyay: Meerkuriga T?
Jawaab:
T2 = 0,24 Sano oo Dhulka ah
1 sano oo dhulka ah = 365 maalmood
Muddada kacaanka Meerkuriga = (0,24)(365 maalmood) = 87,6 maalmood.
Su'aalaha Sharciga Kepler
1. Celceliska masaafada meeraha Venus u jiro qorraxda waa 108,2 x 10 6 km, muddada kacaanka Venusna waa 0,615 sano. Waa maxay saamiga joogtada ah ee labajibbaaranaha muddada iyo saddexjibbaaranaha masaafada celceliska Venus u jiro qorraxda?
2. Celceliska masaafada meeraha Venus ilaa qorraxda waa 108,2 x 10 6 km, celceliska masaafada meeraha Marsna waa 227,9 x 10 6 km. Muddada kacaanka Venus waa 0,615 sano, waa maxay muddada kacaanka meeraha Mars?
