183_notes:grav_accel

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183_notes:grav_accel [2014/10/20 02:15] – [The Local Gravitational Acceleration revisited] caballero183_notes:grav_accel [2021/02/05 00:02] (current) – [The Gravitational Force and the Momentum Principle] stumptyl
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 +Section 3.2 and 3.3 in Matter and Interactions (4th edition)
 +
 ===== Gravitational Acceleration ===== ===== Gravitational Acceleration =====
  
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 $$\vec{a}_2 = -G\dfrac{m_1}{|\vec{r}|^2}\hat{r}$$ $$\vec{a}_2 = -G\dfrac{m_1}{|\vec{r}|^2}\hat{r}$$
  
-The resulting expression is the acceleration that object 2 experiences due to it's gravitational interaction with object 1. Notice that the acceleration of object 2 depends only on the mass of object 1 ($m_1$), and relative position of object 2 with respect to object 1 ($\vec{r}$). It also points towards object 1, which indicates that the object 2 is attracted (and will thus experience an acceleration along the line between object 1 and 2).+//__The resulting expression is the acceleration that object 2 experiences due to it's gravitational interaction with object 1__//. Notice that the acceleration of object 2 depends only on the mass of object 1 ($m_1$), and relative position of object 2 with respect to object 1 ($\vec{r}$). It also points towards object 1, which indicates that the object 2 is attracted (and will thus experience an acceleration along the line between object 1 and 2).
  
-So, in general:+So, __in general__:
  
 $$\vec{a} = -G\dfrac{m}{|\vec{r}|^2}\hat{r}$$ $$\vec{a} = -G\dfrac{m}{|\vec{r}|^2}\hat{r}$$
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