Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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book:appendix:solar-system [2022/10/11 17:28] – [speed constants] jvbook:appendix:solar-system [2022/10/11 22:03] (current) jv
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-====== Appendix ====== +====== Appendix 3.  The Solar System  =====
- +
- +
-\begin{align} \label{eq:times} +
-  1 \, \text{year} \simeq \pi \times 10^7  \, \text{s} +
-\end{align} +
- +
- +
- +
-===== A. Solar System  =====+
  
 The solar system has $1.0014$ solar masses, The solar system has $1.0014$ solar masses,
 which amounts to about $2 \times 10^{30}\, \, \text{kg}$. which amounts to about $2 \times 10^{30}\, \, \text{kg}$.
 +
 The Earth-Sun distance is $1 \, \text{AU} \simeq 500 \, \text{light second} \simeq 1.5 \times 10^{11}\, \, \text{m}$. The Earth-Sun distance is $1 \, \text{AU} \simeq 500 \, \text{light second} \simeq 1.5 \times 10^{11}\, \, \text{m}$.
  
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-==== speed constants ==== +~~DISCUSSION|Typos and suggestions for additional entries~~
- +
-\begin{align} +
-\text{speed of light}  && c_L &= 3 \times 10^8 \: \text{m/s}  \\ +
-\text{speed of sound}  && c_S &= 3  \times 10^2 \: \text{m/s}  +
-\end{align} +
- +
-==== masses ==== +
- +
-\begin{align} +
-\text{masses of electron}  && m_e &= 9 \times 10^{-31} \text{kg}  \\ +
-\text{masses of proton}   && m_p &= 1 \times 10^{-27} \text{kg}  \\ +
-\text{masses of neutron}  && m_n &= 1,6 \times 10^{-27} \text{kg}  \\ +
-\text{masses of hydrogen atom} && m_{hydrogen} &= 1,6 \times 10^{-27} \text{kg}  \\ \\ +
-\text{masses of earth} && m_{earth} &= 6 \times 10^{24} \text{kg} \\ +
-\text{masses of sun} && m_{sun} &= 2 \times 10^{30} \text{kg} \\ +
- +
-\end{align} +
- +
-==== densities ==== +
- +
-\begin{align} +
-\text{density of water} && \rho_{water} &= 1000 \text{kg/m}^{3}   \\ +
-\text{density of air} && \rho_{air} &= 1 \: \text{kg/m}^{3}   \\   \\ +
-\text{density of earth} && \rho_{earth} &= 5,51 \: \text{g/cm}^{3}   \\ +
-\text{density of moon} && \rho_{moon} &= 3,34 \: \text{g/cm}^{3}   \\ +
-\text{density of sun} && \rho_{sun} &= 1,41 \: \text{g/cm}^{3}   \\ +
-\text{density of mars} && \rho_{mars} &= 3,3 \: \text{g/cm}^{3} +
-\end{align} +
- +
- +
-==== normal constants ==== +
-\begin{align} +
-\text{normal pressure} && p_0 &= 101325 \text{pa} = 1,01325 \text{bar}  \\ +
-\text{gravitational acceleration} && g &= 9,81 \text{m/s}^2   \\ +
-\text{gravitational acceleration on the moon} && g_{moon} &= 1,62 \text{m/s}^2  \\ +
-\text{gravitational constant} && G &= 7 \times 10^{-11} N \times \text{m}^2 / \text{kg}^2 +
-\end{align} +
- +
- +
  
book/appendix/solar-system.1665502089.txt.gz · Last modified: 2022/10/11 17:28 by jv