Kepler txoj cai - teeb meem thiab kev daws teeb meem

1. Lub ntiaj teb qhov deb ntawm lub hnub yog 149.6 x 10 ⁶ km thiab lub sijhawm ntawm lub ntiaj teb tig ib ncig yog 1 xyoos. Xam T ² / r ³

Paub:

T = 1 xyoo, r = 149.6 x 10 ⁶ km

Xav tau : T ² / r ³ = … ?

Kev daws teeb meem :

k = T² / r ib³ = 1² / (149.6 x 10⁶)³ = 1 / (3348071.9 x 10¹⁸) = 2.98 x 10^-25 xyoo²/km³

[irp]

2. Qhov tsis hloov ^pauv thoob ntiaj teb (G) = 6.67 x 10 ^-11 Nm2 ^/ kg2 thiab Sun's 1.99 x 10 ³⁰ kg.

[irp]

3. Qhov nruab nrab ntawm lub ntiaj teb thiab lub hnub yog 149.6 x 10 ⁶ km thiab qhov nruab nrab ntawm Mercury thiab lub hnub yog 57.9 x 10 ⁶ km. Lub sijhawm uas lub ntiaj teb tig ib ncig yog 1 xyoos, lub sijhawm uas Mercury tig ib ncig yog dab tsi?

Paub:

r ntawm lub ntiaj teb = 149.6 x 10 ⁶ km

r ntawm mercury = 57.9 x 10 ⁶ km

Lub ntiaj teb = 1 xyoo

Xav tau: T ntawm mercury?

Tshuaj:

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