Тангенциальный, нормальный и бинормальный jerk

Last modified by Alexey Popov on 2022/03/15 20:10

$\mathbf a = \frac{d v}{dt}\boldsymbol \tau + \frac{v^2}{R}\mathbf n$

$\mathbf j = \frac{d}{dt}(\frac{d v}{dt}\boldsymbol \tau) + \frac{d}{dt}(\frac{v^2}{R}\mathbf n)$

$\mathbf j = \frac{d^2 v}{dt^2}\boldsymbol \tau + \frac{d\boldsymbol \tau}{ds}\frac{ds}{dt}\frac{d v}{dt} + \frac{d v^2}{dt}\frac{1}{R}\mathbf n + \frac{v^2}{R}\frac{d \mathbf n}{ds}\frac{ds}{dt}$

$\mathbf j = \left (\frac{d^2 v}{dt^2} - v^3\kappa^2\right ) \boldsymbol\tau + \frac{3}{2}\frac{d v^2}{dt}\kappa\mathbf n+ \frac{d \kappa}{ds}v^3 \mathbf n+ v^3\kappa \tau}\boldsymbol \beta$

$F= \cancelto{H_c}{G} \quad \; \; \frac{m {\displaystyle\cancelto{Q_g}{M}} }{R^2}$

$F = \frac{1}{4\pi\rho_h}\frac{m c^2 Q_g}{R^2}$

$\rho_h = m_n^3 \frac{c^3}{h^2}$

$\rho_u$

$\rho$

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Created by Alexey Popov on 2021/06/27 09:59

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