Do you want BuboFlash to help you learning these things? Or do you want to add or correct something? Click here to log in or create user.
#has-images
[imagelink]
Calculating the value of a parsec [ edit ]
[imagelink] ![[imagelink]](/bubo5/browser?url=https%3A//en.wikipedia.org/wiki/File%3AParsec_%281%29.svg){kind=link}
In the diagram above (not to scale), S represents the Sun, and E the Earth at one point in its orbit. Thus the distance ES is one astronomical unit (au). The angle SDE is one arcsecond ( 1 / 3600 of a degree) so by definition D is a point in space at a distance of one parsec from the Sun. Through trigonometry, the distance SD is calculated as follows:
\({\displaystyle \mathrm {SD} ={\frac {\mathrm {ES} }{\tan 1''}}}\) \({\displaystyle \mathrm {SD} \approx {\frac {\mathrm {ES} }{1''}}={\frac {1\,{\mbox{au}}}{{\frac {1}{60\times 60}}\times {\frac {\pi }{180}}}}={\frac {648\,000}{\pi }}\,{\mbox{au}}\approx 206\,264.81{\mbox{ au}}.}\)If you want to change selection, open document below and click on "Move attachment"
Parsec - Wikipedia
ssed his concern for the need of a name for that unit of distance. He proposed the name astron, but mentioned that Carl Charlier had suggested siriometer and Herbert Hall Turner had proposed parsec. [3] It was Turner's proposal that stuck. <span>Calculating the value of a parsec[edit] [imagelink] In the diagram above (not to scale), S represents the Sun, and E the Earth at one point in its orbit. Thus the distance ES is one astronomical unit (au). The angle SDE is one arcsecond (1/3600 of a degree) so by definition D is a point in space at a distance of one parsec from the Sun. Through trigonometry, the distance SD is calculated as follows: S D = E S tan 1 ″ {\displaystyle \mathrm {SD} ={\frac {\mathrm {ES} }{\tan 1''}}} S D ≈ E S 1 ″ = 1 au 1 60 × 60 × π 180 = 648 000 π au ≈ 206 264.81 au . {\displaystyle \mathrm {SD} \approx {\frac {\mathrm {ES} }{1''}}={\frac {1\,{\mbox{au}}}{{\frac {1}{60\times 60}}\times {\frac {\pi }{180}}}}={\frac {648\,000}{\pi }}\,{\mbox{au}}\approx 206\,264.81{\mbox{ au}}.} Because the astronomical unit is defined to be 7011149597870700000♠149597870700 m, [8] the following can be calculated: Therefore, 1 parsec ≈ 7005206264806247096♠206264.8062470
Parsec - Wikipedia
ssed his concern for the need of a name for that unit of distance. He proposed the name astron, but mentioned that Carl Charlier had suggested siriometer and Herbert Hall Turner had proposed parsec. [3] It was Turner's proposal that stuck. <span>Calculating the value of a parsec[edit] [imagelink] In the diagram above (not to scale), S represents the Sun, and E the Earth at one point in its orbit. Thus the distance ES is one astronomical unit (au). The angle SDE is one arcsecond (1/3600 of a degree) so by definition D is a point in space at a distance of one parsec from the Sun. Through trigonometry, the distance SD is calculated as follows: S D = E S tan 1 ″ {\displaystyle \mathrm {SD} ={\frac {\mathrm {ES} }{\tan 1''}}} S D ≈ E S 1 ″ = 1 au 1 60 × 60 × π 180 = 648 000 π au ≈ 206 264.81 au . {\displaystyle \mathrm {SD} \approx {\frac {\mathrm {ES} }{1''}}={\frac {1\,{\mbox{au}}}{{\frac {1}{60\times 60}}\times {\frac {\pi }{180}}}}={\frac {648\,000}{\pi }}\,{\mbox{au}}\approx 206\,264.81{\mbox{ au}}.} Because the astronomical unit is defined to be 7011149597870700000♠149597870700 m, [8] the following can be calculated: Therefore, 1 parsec ≈ 7005206264806247096♠206264.8062470
Summary
| status | not read | reprioritisations | ||
|---|---|---|---|---|
| last reprioritisation on | suggested re-reading day | |||
| started reading on | finished reading on |
Details
Discussion
Do you want to join discussion? Click here to log in or create user.