Differences

This shows you the differences between two versions of the page.

--- bn:un:tidal-force [2025/08/11 04:09] – asad
+++ bn:un:tidal-force [2025/08/11 04:25] (current) – [4. জায়ান্ট গ্রহদের রিং] asad
@@ Line 28: / Line 28: @@
 {{https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41598-022-14469-3/MediaObjects/41598_2022_14469_Fig1_HTML.png?nolink}}
-===== - এঙ্গুলার মোমেন্টাম =====
+===== - আর্থ-মুন এঙ্গুলার মোমেন্টাম =====
 $$
 \begin{aligned}
-J &= \frac{2}{5} M_e R_e^2 \,\omega_e + \mu_m d^2 \Omega_m \\
+\mu_m &= \frac{M_e M_m}{M_e + M_m} \\[4pt]
-\Omega_m^2 &= \frac{G\,(M_e+M_m)}{d^3} \\
+I_e &= \frac{2}{5} M_e R_e^2 \\[4pt]
-\Rightarrow\ \Omega_m &= \sqrt{\frac{G\,(M_e+M_m)}{d^3}} \\
+J &= I_e\,\omega_e + \mu_m d^2 \Omega_m \\[4pt]
-\Rightarrow\ \mu_m d^2 \Omega_m &= \mu_m d^2 \sqrt{\frac{G\,(M_e+M_m)}{d^3}} \\
+P^2 &= \frac{4\pi^2 a^3}{G(M_e+M_m)} \\[2pt]
-&= \mu_m \sqrt{\frac{d^4 G\,(M_e+M_m)}{d^3}} \\
+\Omega_m &= \frac{2\pi}{P} \\[2pt]
-&= \mu_m \sqrt{\,d\, G\,(M_e+M_m)} \\
+\Rightarrow\ \Omega_m^2 &= \frac{4\pi^2}{P^2}
+= \frac{4\pi^2}{\dfrac{4\pi^2 a^3}{G(M_e+M_m)}}
+= \frac{G(M_e+M_m)}{a^3} \\[2pt]
+a&=d \\[2pt]
+\Rightarrow\ \Omega_m^2 &= \frac{G(M_e+M_m)}{d^3} \\[4pt]
+\mu_m d^2 \Omega_m &= \mu_m d^2 \sqrt{\frac{G(M_e+M_m)}{d^3}}
+= \mu_m \sqrt{\frac{d^4\,G(M_e+M_m)}{d^3}}
+= \mu_m \sqrt{d\,G(M_e+M_m)} \\[4pt]
 \therefore\quad
-J &= \frac{2}{5} M_e R_e^2 \,\omega_e + \mu_m \sqrt{\,d\, G\,(M_e+M_m)} \,.
+J &= \frac{2}{5} M_e R_e^2\,\omega_e + \mu_m \sqrt{d\,G(M_e+M_m)} \,.
 \end{aligned}
 $$
+===== - মার্কারির স্পিন-অর্বিট রেজোনেন্স =====
+৩ঃ২
+===== - জুপিটারের মুন =====
+{{https://upload.wikimedia.org/wikipedia/commons/e/e5/Galilean_moon_Laplace_resonance_animation_2.gif?nolink}}