Bonjour,
1) gM = 130% x gT ≈ 12,75 N.kg⁻¹
2)a) P = m x gM
b) F = G x Mm x m/Rm²
c) F = P
⇒ G x Mm x m/Rm²= m x gM
⇔ gM = G x Mm/Rm²
3) On veut Mm = Mt = 5,97.10²⁴ kg
⇒ Rm² = G x Mm/gM = 6,67.10⁻¹¹ x 5,97.10²⁴/12,75 ≈ 3,12.10¹³
Soit : Rm ≈ √(3,12.10¹³) ≈ 5,6.10⁶ m soit environ 5600 kms
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Bonjour,
1) gM = 130% x gT ≈ 12,75 N.kg⁻¹
2)a) P = m x gM
b) F = G x Mm x m/Rm²
c) F = P
⇒ G x Mm x m/Rm²= m x gM
⇔ gM = G x Mm/Rm²
3) On veut Mm = Mt = 5,97.10²⁴ kg
⇒ Rm² = G x Mm/gM = 6,67.10⁻¹¹ x 5,97.10²⁴/12,75 ≈ 3,12.10¹³
Soit : Rm ≈ √(3,12.10¹³) ≈ 5,6.10⁶ m soit environ 5600 kms