{"id":922,"date":"2017-08-08T13:14:07","date_gmt":"2017-08-08T17:14:07","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/back-matter\/a-5-some-useful-constants-for-astronomy\/"},"modified":"2017-08-08T13:14:07","modified_gmt":"2017-08-08T17:14:07","slug":"a-5-some-useful-constants-for-astronomy","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/back-matter\/a-5-some-useful-constants-for-astronomy\/","title":{"raw":"A.5 Some Useful Constants for Astronomy","rendered":"A.5 Some Useful Constants for Astronomy"},"content":{"raw":"<table id=\"fs-id1172466793559\" class=\"span-all\" summary=\"A table titled &#x201C;Physical constants&#x201D; with two columns and ten rows. The first row reads &#x201C;speed of light (c)&#x201D; and &#x201C;2.9979 times 10 to the 8 m\/s&#x201D;. The second row reads &#x201C;gravitational constant (G)&#x201D; and &#x2018;6.674 times 10 to the negative 11 m3\/(kg s squared)&#x201D;. The third row reads &#x201C;Planck&#x2019;s constant (h)&#x201D; and &#x201C;6.626 times 10 to the negative 34 J-s&#x201D;. The fourth row reads &#x201C;mass of a hydrogen atom (M sub H)&#x201D; and &#x201C;1.673 times 10 to the negative 27 kg&#x201D;. The fifth row reads &#x201C;mass of an electron (M sub e)&#x201D; and &#x201C;9.109 times 10 to the negative 31 kg&#x201D;. The sixth row reads &#x201C;Rydberg constant (R sub infinity)&#x201D; and &#x201C;1.0974 times 10 to the seven 7 m to the negative 1&#x201D;. The seventh row reads &#x201C;Stefan-Boltzmann constant (sigma)&#x201D; and &#x201C;5.670 times 10 to the negative 8 J\/(s&#xB7;m squared deg to the fourth)&#x201D;. The eighth row reads &#x201C;Wien&#x2019;s law constant (lambda max T)&#x201D; and &#x201C;2.898 times 10 to the negative 3 m deg&#x201D;. The ninth row reads &#x201C;electron volt (energy) (eV)&#x201D; and &#x201C;1.602 times 10 to the negative 19 J&#x201D;. The tenth row reads &#x201C;energy equivalent of 1 ton TNT&#x201D; and &#x201C;4.2 times 10 to the 9 J&#x201D;.\"><thead><tr><th colspan=\"2\">Physical Constants<\/th>\n<\/tr><tr valign=\"top\"><th>Name<\/th>\n<th>Value<\/th>\n<\/tr><\/thead><tbody><tr valign=\"top\"><td>speed of light (<em>c<\/em>)<\/td>\n<td>2.9979 \u00d7 10<sup>8<\/sup> m\/s<\/td>\n<\/tr><tr valign=\"top\"><td>gravitational constant (<em>G<\/em>)<\/td>\n<td>6.674 \u00d7 10<sup>\u221211<\/sup> m<sup>3<\/sup>\/(kg s<sup>2<\/sup>)<\/td>\n<\/tr><tr valign=\"top\"><td>Planck\u2019s constant (<em>h<\/em>)<\/td>\n<td>6.626 \u00d7 10<sup>\u221234<\/sup> J-s<\/td>\n<\/tr><tr valign=\"top\"><td>mass of a hydrogen atom (<em>M<\/em><sub>H<\/sub>)<\/td>\n<td>1.673 \u00d7 10<sup>\u221227<\/sup> kg<\/td>\n<\/tr><tr valign=\"top\"><td>mass of an electron (<em>M<\/em><sub>e<\/sub>)<\/td>\n<td>9.109 \u00d7 10<sup>\u221231<\/sup> kg<\/td>\n<\/tr><tr valign=\"top\"><td>Rydberg constant (R\u221eR\u221e)<\/td>\n<td>1.0974 \u00d7 10<sup>7<\/sup> m<sup>\u22121<\/sup><\/td>\n<\/tr><tr valign=\"top\"><td>Stefan-Boltzmann constant (\u03c3)<\/td>\n<td>5.670 \u00d7 10<sup>\u22128<\/sup> J\/(s\u00b7m<sup>2<\/sup> deg<sup>4<\/sup>)<a name=\"footnote-ref1\" href=\"#footnote1\"><sup>1<\/sup><\/a><\/td>\n<\/tr><tr valign=\"top\"><td>Wien\u2019s law constant (\u03bb<sub>max<\/sub>T)<\/td>\n<td>2.898 \u00d7 10<sup>\u22123<\/sup> m K<\/td>\n<\/tr><tr valign=\"top\"><td>electron volt (energy) (eV)<\/td>\n<td>1.602 \u00d7 10<sup>\u221219<\/sup> J<\/td>\n<\/tr><tr valign=\"top\"><td>energy equivalent of 1 ton TNT<\/td>\n<td>4.2 \u00d7 10<sup>9<\/sup> J<\/td>\n<\/tr><\/tbody><\/table><table id=\"fs-id1172467034377\" class=\"span-all\" summary=\"A table titled &#x201C;Physical constants&#x201D; with two columns and fourteen rows. The first row reads &#x201C;astronomical unit (AU)&#x201D; and &#x201C;1.496 times 10 to the 11 m&#x201D;. The second row reads &#x201C;Light-year (ly)&#x201D; and &#x201C;9.461 times 10 to the 15 m&#x201D;. The third row reads &#x201C;parsec (pc)&#x201D; and &#x201C;3.086 times 10 to the 16 m = 3.262 light-years&#x201D;. The fourth row reads &#x201C;sidereal year (y)&#x201D; and &#x201C;3.156 times 10 to the 7 s&#x201D;. The fifth row reads &#x201C;mass of Earth (M sub Earth)&#x201D; and &#x201C;5.974 times 10 to the 24 kg&#x201D;. The sixth row reads &#x201C;equatorial radius of Earth (R sub Earth)&#x201D; and &#x201C;6.378 times 10 to the 6 m&#x201D;. The seventh row reads &#x201C;obliquity of ecliptic&#x201D; and &#x201C;23.4 degrees 26 minutes&#x201D;. The eighth row reads &#x201C;surface gravity of Earth (g)&#x201D; and &#x201C;9.807 m\/s squared&#x201D;. The ninth row reads &#x201C;escape velocity of Earth (v sub Earth)&#x201D; and &#x201C;1.119 times 10 to the 4 m\/s&#x201D;. The tenth row reads &#x201C;mass of Sun (M sub Sun)&#x201D; and &#x201C;1.989 times 10 to the 30 kg&#x201D;. The eleventh row reads &#x201C;equatorial radius of Sun (R sub Sun)&#x201D; and &#x201C;6.960 times 10 to the 8 m&#x201D;. The twelfth row reads &#x201C;luminosity of Sun (L sub Sun)&#x201D; and &#x201C;3.85 times 10 to the 26 W&#x201D;. The thirteenth row reads &#x201C;solar constant (flux of energy received at Earth) (S)&#x201D; and &#x201C;1.368 times 10 to the 3 W\/m squared&#x201D;. The fourteenth row reads &#x201C;Hubble constant (H sub 0)&#x201D; and &#x201C;approximately 20 km\/s per million light-years, or approximately 70 km\/s per megaparsec&#x201D;.\"><thead><tr><th colspan=\"2\">Astronomical Constants<\/th>\n<\/tr><tr valign=\"top\"><th>Name<\/th>\n<th>Value<\/th>\n<\/tr><\/thead><tbody><tr valign=\"top\"><td>astronomical unit (AU)<\/td>\n<td>1.496 \u00d7 10<sup>11<\/sup> m<\/td>\n<\/tr><tr valign=\"top\"><td>Light-year (ly)<\/td>\n<td>9.461 \u00d7 10<sup>15<\/sup> m<\/td>\n<\/tr><tr valign=\"top\"><td>parsec (pc)<\/td>\n<td>3.086 \u00d7 10<sup>16<\/sup> m = 3.262 light-years<\/td>\n<\/tr><tr valign=\"top\"><td>sidereal year (y)<\/td>\n<td>3.156 \u00d7 10<sup>7<\/sup> s<\/td>\n<\/tr><tr valign=\"top\"><td>mass of Earth (<em>M<\/em><sub>Earth<\/sub>)<\/td>\n<td>5.974 \u00d7 10<sup>24<\/sup> kg<\/td>\n<\/tr><tr valign=\"top\"><td>equatorial radius of Earth (<em>R<\/em><sub>Earth<\/sub>)<\/td>\n<td>6.378 \u00d7 10<sup>6<\/sup> m<\/td>\n<\/tr><tr valign=\"top\"><td>obliquity of ecliptic<\/td>\n<td>23.4\u00b0 26\u2019<\/td>\n<\/tr><tr valign=\"top\"><td>surface gravity of Earth (<em>g<\/em>)<\/td>\n<td>9.807 m\/s<sup>2<\/sup><\/td>\n<\/tr><tr valign=\"top\"><td>escape velocity of Earth (<em>v<\/em><sub>Earth<\/sub>)<\/td>\n<td>1.119 \u00d7 10<sup>4<\/sup> m\/s<\/td>\n<\/tr><tr valign=\"top\"><td>mass of Sun (<em>M<\/em><sub>Sun<\/sub>)<\/td>\n<td>1.989 \u00d7 10<sup>30<\/sup> kg<\/td>\n<\/tr><tr valign=\"top\"><td>equatorial radius of Sun (<em>R<\/em><sub>Sun<\/sub>)<\/td>\n<td>6.960 \u00d7 10<sup>8<\/sup> m<\/td>\n<\/tr><tr valign=\"top\"><td>luminosity of Sun (<em>L<\/em><sub>Sun<\/sub>)<\/td>\n<td>3.85 \u00d7 10<sup>26<\/sup> W<\/td>\n<\/tr><tr valign=\"top\"><td>solar constant (flux of energy received at Earth) (S)<\/td>\n<td>1.368 \u00d7 10<sup>3<\/sup> W\/m<sup>2<\/sup><\/td>\n<\/tr><tr valign=\"top\"><td>Hubble constant (H<sub>0<\/sub>)<\/td>\n<td>approximately 20 km\/s per million light-years, or approximately 70 km\/s per megaparsec<\/td>\n<\/tr><\/tbody><\/table><div>\n<h2>Footnotes<\/h2>\n<ol><li><a name=\"footnote1\" href=\"#footnote-ref1\">1<\/a> deg stands for degrees Celsius or kelvins<\/li>\n<\/ol><\/div>","rendered":"<table id=\"fs-id1172466793559\" class=\"span-all\" summary=\"A table titled &#x201c;Physical constants&#x201d; with two columns and ten rows. The first row reads &#x201c;speed of light (c)&#x201d; and &#x201c;2.9979 times 10 to the 8 m\/s&#x201d;. The second row reads &#x201c;gravitational constant (G)&#x201d; and &#x2018;6.674 times 10 to the negative 11 m3\/(kg s squared)&#x201d;. The third row reads &#x201c;Planck&#x2019;s constant (h)&#x201d; and &#x201c;6.626 times 10 to the negative 34 J-s&#x201d;. The fourth row reads &#x201c;mass of a hydrogen atom (M sub H)&#x201d; and &#x201c;1.673 times 10 to the negative 27 kg&#x201d;. The fifth row reads &#x201c;mass of an electron (M sub e)&#x201d; and &#x201c;9.109 times 10 to the negative 31 kg&#x201d;. The sixth row reads &#x201c;Rydberg constant (R sub infinity)&#x201d; and &#x201c;1.0974 times 10 to the seven 7 m to the negative 1&#x201d;. The seventh row reads &#x201c;Stefan-Boltzmann constant (sigma)&#x201d; and &#x201c;5.670 times 10 to the negative 8 J\/(s&#xb7;m squared deg to the fourth)&#x201d;. The eighth row reads &#x201c;Wien&#x2019;s law constant (lambda max T)&#x201d; and &#x201c;2.898 times 10 to the negative 3 m deg&#x201d;. The ninth row reads &#x201c;electron volt (energy) (eV)&#x201d; and &#x201c;1.602 times 10 to the negative 19 J&#x201d;. The tenth row reads &#x201c;energy equivalent of 1 ton TNT&#x201d; and &#x201c;4.2 times 10 to the 9 J&#x201d;.\">\n<thead>\n<tr>\n<th colspan=\"2\">Physical Constants<\/th>\n<\/tr>\n<tr valign=\"top\">\n<th>Name<\/th>\n<th>Value<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td>speed of light (<em>c<\/em>)<\/td>\n<td>2.9979 \u00d7 10<sup>8<\/sup> m\/s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>gravitational constant (<em>G<\/em>)<\/td>\n<td>6.674 \u00d7 10<sup>\u221211<\/sup> m<sup>3<\/sup>\/(kg s<sup>2<\/sup>)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Planck\u2019s constant (<em>h<\/em>)<\/td>\n<td>6.626 \u00d7 10<sup>\u221234<\/sup> J-s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>mass of a hydrogen atom (<em>M<\/em><sub>H<\/sub>)<\/td>\n<td>1.673 \u00d7 10<sup>\u221227<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>mass of an electron (<em>M<\/em><sub>e<\/sub>)<\/td>\n<td>9.109 \u00d7 10<sup>\u221231<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Rydberg constant (R\u221eR\u221e)<\/td>\n<td>1.0974 \u00d7 10<sup>7<\/sup> m<sup>\u22121<\/sup><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Stefan-Boltzmann constant (\u03c3)<\/td>\n<td>5.670 \u00d7 10<sup>\u22128<\/sup> J\/(s\u00b7m<sup>2<\/sup> deg<sup>4<\/sup>)<a name=\"footnote-ref1\" href=\"#footnote1\"><sup>1<\/sup><\/a><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Wien\u2019s law constant (\u03bb<sub>max<\/sub>T)<\/td>\n<td>2.898 \u00d7 10<sup>\u22123<\/sup> m K<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>electron volt (energy) (eV)<\/td>\n<td>1.602 \u00d7 10<sup>\u221219<\/sup> J<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>energy equivalent of 1 ton TNT<\/td>\n<td>4.2 \u00d7 10<sup>9<\/sup> J<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"fs-id1172467034377\" class=\"span-all\" summary=\"A table titled &#x201c;Physical constants&#x201d; with two columns and fourteen rows. The first row reads &#x201c;astronomical unit (AU)&#x201d; and &#x201c;1.496 times 10 to the 11 m&#x201d;. The second row reads &#x201c;Light-year (ly)&#x201d; and &#x201c;9.461 times 10 to the 15 m&#x201d;. The third row reads &#x201c;parsec (pc)&#x201d; and &#x201c;3.086 times 10 to the 16 m = 3.262 light-years&#x201d;. The fourth row reads &#x201c;sidereal year (y)&#x201d; and &#x201c;3.156 times 10 to the 7 s&#x201d;. The fifth row reads &#x201c;mass of Earth (M sub Earth)&#x201d; and &#x201c;5.974 times 10 to the 24 kg&#x201d;. The sixth row reads &#x201c;equatorial radius of Earth (R sub Earth)&#x201d; and &#x201c;6.378 times 10 to the 6 m&#x201d;. The seventh row reads &#x201c;obliquity of ecliptic&#x201d; and &#x201c;23.4 degrees 26 minutes&#x201d;. The eighth row reads &#x201c;surface gravity of Earth (g)&#x201d; and &#x201c;9.807 m\/s squared&#x201d;. The ninth row reads &#x201c;escape velocity of Earth (v sub Earth)&#x201d; and &#x201c;1.119 times 10 to the 4 m\/s&#x201d;. The tenth row reads &#x201c;mass of Sun (M sub Sun)&#x201d; and &#x201c;1.989 times 10 to the 30 kg&#x201d;. The eleventh row reads &#x201c;equatorial radius of Sun (R sub Sun)&#x201d; and &#x201c;6.960 times 10 to the 8 m&#x201d;. The twelfth row reads &#x201c;luminosity of Sun (L sub Sun)&#x201d; and &#x201c;3.85 times 10 to the 26 W&#x201d;. The thirteenth row reads &#x201c;solar constant (flux of energy received at Earth) (S)&#x201d; and &#x201c;1.368 times 10 to the 3 W\/m squared&#x201d;. The fourteenth row reads &#x201c;Hubble constant (H sub 0)&#x201d; and &#x201c;approximately 20 km\/s per million light-years, or approximately 70 km\/s per megaparsec&#x201d;.\">\n<thead>\n<tr>\n<th colspan=\"2\">Astronomical Constants<\/th>\n<\/tr>\n<tr valign=\"top\">\n<th>Name<\/th>\n<th>Value<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td>astronomical unit (AU)<\/td>\n<td>1.496 \u00d7 10<sup>11<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Light-year (ly)<\/td>\n<td>9.461 \u00d7 10<sup>15<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>parsec (pc)<\/td>\n<td>3.086 \u00d7 10<sup>16<\/sup> m = 3.262 light-years<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>sidereal year (y)<\/td>\n<td>3.156 \u00d7 10<sup>7<\/sup> s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>mass of Earth (<em>M<\/em><sub>Earth<\/sub>)<\/td>\n<td>5.974 \u00d7 10<sup>24<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>equatorial radius of Earth (<em>R<\/em><sub>Earth<\/sub>)<\/td>\n<td>6.378 \u00d7 10<sup>6<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>obliquity of ecliptic<\/td>\n<td>23.4\u00b0 26\u2019<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>surface gravity of Earth (<em>g<\/em>)<\/td>\n<td>9.807 m\/s<sup>2<\/sup><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>escape velocity of Earth (<em>v<\/em><sub>Earth<\/sub>)<\/td>\n<td>1.119 \u00d7 10<sup>4<\/sup> m\/s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>mass of Sun (<em>M<\/em><sub>Sun<\/sub>)<\/td>\n<td>1.989 \u00d7 10<sup>30<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>equatorial radius of Sun (<em>R<\/em><sub>Sun<\/sub>)<\/td>\n<td>6.960 \u00d7 10<sup>8<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>luminosity of Sun (<em>L<\/em><sub>Sun<\/sub>)<\/td>\n<td>3.85 \u00d7 10<sup>26<\/sup> W<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>solar constant (flux of energy received at Earth) (S)<\/td>\n<td>1.368 \u00d7 10<sup>3<\/sup> W\/m<sup>2<\/sup><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Hubble constant (H<sub>0<\/sub>)<\/td>\n<td>approximately 20 km\/s per million light-years, or approximately 70 km\/s per megaparsec<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div>\n<h2>Footnotes<\/h2>\n<ol>\n<li><a name=\"footnote1\" href=\"#footnote-ref1\" id=\"footnote1\">1<\/a> deg stands for degrees Celsius or kelvins<\/li>\n<\/ol>\n<\/div>\n","protected":false},"author":9,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-922","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/back-matter\/922","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/users\/9"}],"version-history":[{"count":0,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/back-matter\/922\/revisions"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/back-matter\/922\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/media?parent=922"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/back-matter-type?post=922"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/contributor?post=922"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/license?post=922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}