Lamulo la Kepler - mavuto ndi mayankho

1. Mtunda wa Dziko Lapansi kuchokera ku Dzuwa ndi 149.6 x 10 ⁶ km ndipo nthawi ya kusintha kwa Dziko Lapansi ndi chaka chimodzi. Werengani T ² / r ³

Zodziwika:

T = chaka chimodzi, r = 149.6 x 10 ⁶ km

Ankafuna : T ² / r ³ = … ?

Yankho :

k = T² /r³ = 1² / (149.6 x 10⁶)³ = 1 / (3348071.9 x 10¹⁸) = 2.98 x 10^-25 chaka²/km³

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2. Chosasinthika cha Universal (G) = 6.67 x 10 ^-11 Nm ² /kg ² ndi Sun's 1.99 x 10 ³⁰ kg.

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3. Mtunda wapakati wa Dziko Lapansi kuchokera ku Dzuwa ndi 149.6 x 10 ⁶ km ndipo mtunda wapakati wa Mercury kuchokera ku Dzuwa ndi 57.9 x 10 ⁶ km. Nthawi ya kusintha kwa Dziko Lapansi ndi chaka chimodzi, kodi nthawi ya kusintha kwa Mercury ndi iti?

Zodziwika:

r ya Dziko Lapansi = 149.6 x 10 ⁶ km

r ya mercury = 57.9 x 10 ⁶ km

T ya Dziko Lapansi = chaka chimodzi

Akufuna: T ya mercury?

Yankho:

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1. Lamulo la Newton la mavuto a mphamvu yokoka padziko lonse lapansi ndi mayankho ake
2. Mphamvu yokoka, mavuto olemera, ndi mayankho
3. Kuthamanga chifukwa cha mavuto ndi mphamvu yokoka
4. Mavuto ndi mayankho a satellite ya geosynchronous
5. Mavuto ndi mayankho a malamulo a Kepler