book:appendix:solar-system
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- | ====== Appendix | + | ====== Appendix 3. The Solar System |
- | + | ||
- | ===== A.1 SI Units ===== | + | |
- | + | ||
- | We typically denote numerical values in scientific notation with a number in the interval $[1,10)$, | + | |
- | multiplied by a power of ten, followed by a combination of the following units: | + | |
- | + | ||
- | ^ time | second | s , sec | | + | |
- | ^ length | meter | m | | + | |
- | ^ mass | kilogram | kg | | + | |
- | + | ||
- | Occasionally, | + | |
- | + | ||
- | ^ d | dezi | $10^{-1}$ | | + | |
- | ^ c | centi | $10^{-2}\qquad\qquad$ ^ h | hekto | $10^2$ | | + | |
- | ^ m | milli | $10^{-3}\qquad\qquad$ ^ k | kilo | $10^3$ | | + | |
- | ^ $\mu$ | micro | $10^{-6}$ | + | |
- | ^ n | nano | $10^{-9}$ | + | |
- | ^ n | pico | $10^{-12}$ | + | |
- | ^ f | femto | $10^{-15}$ | + | |
- | + | ||
- | + | ||
- | + | ||
- | + | ||
- | + | ||
- | + | ||
- | ===== A.2 Orders of magnitude | + | |
- | + | ||
- | ==== Length ==== | + | |
- | + | ||
- | \begin{align} \label{app-eq: | + | |
- | 1 \, \text{parsec} = 1 \: \text{pc} \simeq 3 \times 10^{16} | + | |
- | 1 \, \text{light year} \simeq 10^{16} | + | |
- | 1 \, \text{astronomical unit} = 1 \: \text{AU} \simeq 1.5 \times 10^{11} \: \text{m} | + | |
- | \end{align} | + | |
- | + | ||
- | + | ||
- | + | ||
- | ==== Time ==== | + | |
- | + | ||
- | \begin{align} \label{eq: | + | |
- | 1 \, \text{year} \simeq \pi \times 10^7 \, \text{s} | + | |
- | \end{align} | + | |
- | + | ||
- | ==== Speed ==== | + | |
- | + | ||
- | \begin{align} | + | |
- | \text{speed of light} | + | |
- | \text{speed of sound} | + | |
- | \end{align} | + | |
- | + | ||
- | + | ||
- | ==== Acceleration and gravity ==== | + | |
- | + | ||
- | \begin{align} | + | |
- | \text{gravitational acceleration on Earth } && g &= 9.81 \: | + | |
- | \text{gravitational acceleration on Moon} && g_{moon} &= 1.62 \: | + | |
- | \text{gravitational constant} && G &= 7 \times 10^{-11} \: | + | |
- | \end{align} | + | |
- | + | ||
- | + | ||
- | ==== Mass ==== | + | |
- | + | ||
- | \begin{align} | + | |
- | \text{electron} && m_\text{e} | + | |
- | \text{proton, | + | |
- | \nonumber \\ | + | |
- | \text{Earth} | + | |
- | \text{Sun} | + | |
- | \end{align} | + | |
- | + | ||
- | <wrap hide> | + | |
- | \text{neutron} | + | |
- | \text{hydrogen atom} && m_\text{hydrogen} &= 1.7 \times 10^{-27} \: \text{kg} | + | |
- | </ | + | |
- | + | ||
- | + | ||
- | ==== Density ==== | + | |
- | + | ||
- | \begin{align} | + | |
- | \text{lab vaccum} && \rho_\text{sun} &= 10^{-17} \: \text{kg/ | + | |
- | \text{air} | + | |
- | \text{petroleum} && \rho_\text{water} &= 8 \times 10^2 \: \text{kg/ | + | |
- | \text{water} && \rho_\text{water} &= 10^3 \: \text{kg/ | + | |
- | \text{Sun} && \rho_\text{sun} &= 1.4 \times 10^3 \: \text{kg/ | + | |
- | \text{steel} && \rho_\text{steel} &= 8 \times 10^3 \: \text{kg/ | + | |
- | \text{lead} && \rho_\text{lead} &= 11 \times 10^3 \: \text{kg/ | + | |
- | \text{plutonium} && \rho_\text{lead} &= 20 \times 10^3 \: \text{kg/ | + | |
- | \nonumber \\ | + | |
- | \text{universe} && \rho_\text{sun} &= 10^{-27} \: \text{kg/ | + | |
- | \text{Sun} | + | |
- | \text{Moon} | + | |
- | \text{Mars} | + | |
- | \text{Earth} && \rho_\text{earth} &= 5.5 \: \rho_\text{water} \\ | + | |
- | \text{white dwarf star} && \rho_\text{white dwarf} &= 10^9 \: \text{kg/ | + | |
- | \text{neutron star} && \rho_\text{nucl} &= 4 \times 10^{17} \: \text{kg/ | + | |
- | \end{align} | + | |
- | + | ||
- | + | ||
- | ==== Pressure ==== | + | |
- | + | ||
- | \begin{align} | + | |
- | \text{outer space} && p_\text{space} &= 10^{-18} \: \text{Pa} \\ | + | |
- | \text{lab vacuum} && p_\text{vacuum} &= 10^{-13} \: \text{Pa} \\ | + | |
- | \text{Mars} && p_\text{Mars} &= 10^3 \: \text{Pa} \\ | + | |
- | \text{normal atmospheric pressure} && p_\text{air} &= 10^5 \: \text{Pa} = 1 \: | + | |
- | \text{Titan} && p_\text{Titan} &= 1.5 \times 10^5 \: \text{Pa} = 1.5 \: | + | |
- | \text{bicycle tire} && p_\text{bicycle} &= 4 \times 10^5 \: \text{Pa} = 4 \: | + | |
- | \text{espresso machine} && p_\text{espresso} &= 10^6 \: \text{Pa} \\ | + | |
- | \text{Venus} && p_\text{Venus} &= 9 \times 10^6 \: \text{Pa} = 90 \: | + | |
- | \text{high heels} && p_\text{heels} &= 10^7 \: \text{Pa} \\ | + | |
- | \text{deepest ocean} && p_\text{ocean} &= 10^8 \: \text{Pa} \\ | + | |
- | \text{create diamond} && p_\text{diamond} &= 10^{10} \: \text{Pa} \\ | + | |
- | \text{Earth center} && p_\text{Earth} &= 4 \times 10^{11} \: \text{Pa} \\ | + | |
- | \text{Sun center} && p_\text{Sun} &= 3 \times 10^{16} \: \text{Pa} | + | |
- | \end{align} | + | |
- | + | ||
- | See the [[https:// | + | |
- | for lists with other estimates, and background information. | + | |
- | + | ||
- | + | ||
- | + | ||
- | ===== A.3 | + | |
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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+ | ~~DISCUSSION|Typos and suggestions for additional entries~~ | ||
book/appendix/solar-system.1665517724.txt.gz · Last modified: 2022/10/11 21:48 by jv