Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

User Tools

Site Tools


book:appendix:solar-system

Differences

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

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision
Previous revision
book:appendix:solar-system [2022/10/11 20:37] – [normal constants] jvbook:appendix:solar-system [2022/10/11 22:03] (current) jv
Line 1: Line 1:
-====== 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 $1 \, \text{AU} \simeq 500 \, \text{light second} \simeq 1.5 \times 10^{11}\, \, \text{m}$.
  
Line 43: Line 35:
  
  
-==== 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{electron} && m_\text{e}    &= 9 \times 10^{-31} \: \text{kg}  \\ +
-\text{proton, neutron, hydrogen atom}   && m_\text{p}    &= 1.7 \times 10^{-27} \: \text{kg}  \\ +
-\nonumber \\ +
-\text{Earth}    && m_\text{earth} &= 6 \times 10^{24} \: \text{kg} \\ +
-\text{Sun}      && m_\text{sun}   &= 2 \times 10^{30} \: \text{kg}  +
-\end{align} +
- +
-<wrap hide> +
-\text{neutron}  && m_\text{n}    &= 1.7 \times 10^{-27} \: \text{kg}  \\ +
-\text{hydrogen atom} && m_\text{hydrogen} &= 1.7 \times 10^{-27} \: \text{kg}  \\ \\ +
-</wrap> +
-==== densities ==== +
- +
-\begin{align} +
-\text{water} && \rho_\text{water} &= 10^3 \: \text{kg/m}^{3}   \\ +
-\text{air}   && \rho_\text{air}   &= 1 \: \text{kg/m}^{3}   \\    +
-\nonumber \\ +
-\text{Earth} && \rho_\text{earth} &= 5.5 \: \rho_\text{water} \\ +
-\text{Moon}  && \rho_\text{moon}  &= 3.3 \: \rho_\text{water} \\  +
-\text{Mars}  && \rho_\text{mars}  &= 3.3 \: \rho_\text{water} \\    +
-\text{Sun}   && \rho_\text{sun}   &= 1.4 \: \rho_\text{water} +
-\end{align} +
- +
- +
-==== normal constants ==== +
-\begin{align} +
-\text{gravitational acceleration on Earth } && g &= 9.81 \:\text{m/s}^2  \simeq 10 \text{m/s}^2   \\ +
-\text{gravitational acceleration on Moon} && g_{moon} &= 1.62 \:\text{m/s}^2  \simeq g/6 \\ +
-\text{gravitational constant} && G &= 7 \times 10^{-11} \:\text{m}^3 / \text{kg s}^2 \\ +
-\nonumber \\ +
-\text{normal pressure} && p_0 &= 10^5 \: \text{Pa} = 1 \:\text{bar}  +
-\end{align} +
- +
- +
  
book/appendix/solar-system.1665513465.txt.gz · Last modified: 2022/10/11 20:37 by jv