Bienvenido al formulario de campo gravitatorio de 2º de Bachillerato.
Leyes de Kepler.
1ª ley de Kepler o ley de las órbitas.
Todos los planetas describen órbitas elípticas alrededor del Sol, que está situado en uno de los focos.
2ª ley de Kepler o ley de las áreas.
![\[r_a v_a=r_p v_p\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-66d4e31f3515ec5e0e887e9b3b58bb10_l3.png "Rendered by QuickLaTeX.com")
3ª ley de Kepler o ley de los periodos.
![\[T^2=Kr^3\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-ab12db51adc36fc6cc75e74c4164f9d4_l3.png "Rendered by QuickLaTeX.com")
![\[K=\dfrac{4\pi^2}{GM}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-55b86db86cdc3f03eddc4391da27cc7f_l3.png "Rendered by QuickLaTeX.com")
![\[\vec{F_g}=-\dfrac{GMm}{r^2}\vec {u_r}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-5904a00080465c07aacb9df8e8b4c547_l3.png "Rendered by QuickLaTeX.com")
![\[\vec g=-\dfrac{GM}{r^2}\vec u_r\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-aa6459819b4f15c5fd8fbbe36699a75a_l3.png "Rendered by QuickLaTeX.com")
![\[E_p=-\dfrac{GMm}{r}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-ac53bdb29d6ad2203b3ee7ed4f9f1e7b_l3.png "Rendered by QuickLaTeX.com")
![\[V_g=-\dfrac{GM}{r}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-067c8d6e45ff910c5ef51fd28ec47e17_l3.png "Rendered by QuickLaTeX.com")
![\[\vec F_g=m\cdot\vec g\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-488030d380dd8627425b798a2d6ede73_l3.png "Rendered by QuickLaTeX.com")
![\[v_e=\sqrt{\dfrac{2GM}{r_o}}=\sqrt{2g_or_o}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-068c8484a9f8b98a14d4a88417edba0c_l3.png "Rendered by QuickLaTeX.com")
![\[v_o=\sqrt{\dfrac{GM}{r_o}}=\sqrt{g_or_o}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-201f4887f670426afeb968259c0106a9_l3.png "Rendered by QuickLaTeX.com")
![\[E_o=-\dfrac{1}{2}\dfrac{GMm}{r_o}=\dfrac{1}{2}E_p\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-d5233cf4d6108c45124dcfcd9a840415_l3.png "Rendered by QuickLaTeX.com")
![\[v_p=\sqrt{2GM\left(\dfrac{1}{r_p}-\dfrac{1}{r_o}\right)}\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-24d59b2be8195c9d4c25d1e310d09530_l3.png "Rendered by QuickLaTeX.com")
![\[\Delta E=\dfrac{GMm}{2}\left(\dfrac{1}{r_{o1}}-\dfrac{1}{r_{o2}}\right)\]](https://www.motyscience.com/wp-content/ql-cache/quicklatex.com-a501a71f618aed5e2c08045d55a86244_l3.png "Rendered by QuickLaTeX.com")
