{"id":28,"date":"2016-11-15T21:39:22","date_gmt":"2016-11-15T21:39:22","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/astronomy\/?post_type=chapter&#038;p=28"},"modified":"2016-11-15T21:39:22","modified_gmt":"2016-11-15T21:39:22","slug":"some-useful-constants-for-astronomy","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/chapter\/some-useful-constants-for-astronomy\/","title":{"raw":"Some Useful Constants for Astronomy","rendered":"Some Useful Constants for Astronomy"},"content":{"raw":"<body>\n<div data-type=\"document-title\">Some Useful Constants for Astronomy<\/div>\n<table id=\"fs-id1172466793559\" class=\"span-all\" summary=\"A table titled \" physical constants with two columns and ten rows. the first row reads of light times to m second constant negative m3 s squared third j-s fourth a hydrogen atom sub h kg fifth an electron e sixth infinity seven seventh j deg eighth law max t ninth volt tenth equivalent ton tnt>\n<thead>\n<tr>\n<th colspan=\"2\" data-align=\"center\">Physical Constants<\/th>\n<\/tr>\n<tr valign=\"top\">\n<th data-valign=\"top\" data-align=\"center\">Name<\/th>\n<th>Value<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">speed of light (<em data-effect=\"italics\">c<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">2.9979 \u00d7 10<sup>8<\/sup> m\/s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">gravitational constant (<em data-effect=\"italics\">G<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">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 data-valign=\"top\" data-align=\"left\">Planck\u2019s constant (<em data-effect=\"italics\">h<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">6.626 \u00d7 10<sup>\u221234<\/sup> J-s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of a hydrogen atom (<em data-effect=\"italics\">M<\/em><sub>H<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.673 \u00d7 10<sup>\u221227<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of an electron (<em data-effect=\"italics\">M<\/em><sub>e<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">9.109 \u00d7 10<sup>\u221231<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Rydberg constant ( [latex]{R}_{\\infty }[\/latex] )<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.0974 \u00d7 10<sup>7<\/sup> m<sup>\u22121<\/sup>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Stefan-Boltzmann constant (\u03c3)<\/td>\n<td data-valign=\"top\" data-align=\"left\">5.670 \u00d7 10<sup>\u22128<\/sup> J\/(s\u00b7m<sup>2<\/sup> deg<sup>4<\/sup>)<a data-type=\"footnote-number\" name=\"footnote-ref1\" href=\"#footnote1\"><sup>1<\/sup><\/a>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Wien\u2019s law constant (\u03bb<sub>max<\/sub>T)<\/td>\n<td data-valign=\"top\" data-align=\"left\">2.898 \u00d7 10<sup>\u22123<\/sup> m K<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">electron volt (energy) (eV)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.602 \u00d7 10<sup>\u221219<\/sup> J<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">energy equivalent of 1 ton TNT<\/td>\n<td data-valign=\"top\" data-align=\"left\">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 \" physical constants with two columns and fourteen rows. the first row reads unit times to m second third light-years fourth year s fifth of earth sub kg sixth radius seventh ecliptic degrees minutes eighth gravity squared ninth velocity tenth sun eleventh twelfth w thirteenth constant energy received at fourteenth km per million or approximately megaparsec>\n<thead>\n<tr>\n<th colspan=\"2\" data-align=\"center\">Astronomical Constants<\/th>\n<\/tr>\n<tr valign=\"top\">\n<th data-valign=\"top\" data-align=\"center\">Name<\/th>\n<th>Value<\/th>\n\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">astronomical unit (AU)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.496 \u00d7 10<sup>11<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Light-year (ly)<\/td>\n<td data-valign=\"top\" data-align=\"left\">9.461 \u00d7 10<sup>15<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">parsec (pc)<\/td>\n<td data-valign=\"top\" data-align=\"left\">3.086 \u00d7 10<sup>16<\/sup> m = 3.262 light-years<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">sidereal year (y)<\/td>\n<td data-valign=\"top\" data-align=\"left\">3.156 \u00d7 10<sup>7<\/sup> s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of Earth (<em data-effect=\"italics\">M<\/em><sub>Earth<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">5.974 \u00d7 10<sup>24<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">equatorial radius of Earth (<em data-effect=\"italics\">R<\/em><sub>Earth<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">6.378 \u00d7 10<sup>6<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">obliquity of ecliptic<\/td>\n<td data-valign=\"top\" data-align=\"left\">23.4\u00b0 26\u2019<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">surface gravity of Earth (<em data-effect=\"italics\">g<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">9.807 m\/s<sup>2<\/sup>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">escape velocity of Earth (<em data-effect=\"italics\">v<\/em><sub>Earth<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.119 \u00d7 10<sup>4<\/sup> m\/s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of Sun (<em data-effect=\"italics\">M<\/em><sub>Sun<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.989 \u00d7 10<sup>30<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">equatorial radius of Sun (<em data-effect=\"italics\">R<\/em><sub>Sun<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">6.960 \u00d7 10<sup>8<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">luminosity of Sun (<em data-effect=\"italics\">L<\/em><sub>Sun<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">3.85 \u00d7 10<sup>26<\/sup> W<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">solar constant (flux of energy received at Earth) (S)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.368 \u00d7 10<sup>3<\/sup> W\/m<sup>2<\/sup>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Hubble constant (H<sub>0<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">approximately 20 km\/s per million light-years, or approximately 70 km\/s per megaparsec<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-type=\"footnote-refs\">\n<h2 data-type=\"footnote-title\">Footnotes<\/h2>\n<ol><li>\n<a data-type=\"footnote-ref\" name=\"footnote1\" href=\"#footnote-ref1\">1<\/a> deg stands for degrees Celsius or kelvins<\/li><\/ol>\n<\/div>\n<\/body>","rendered":"<div data-type=\"document-title\">Some Useful Constants for Astronomy<\/div>\n<table id=\"fs-id1172466793559\" class=\"span-all\" summary=\"A table titled\">\n<thead>\n<tr>\n<th colspan=\"2\" data-align=\"center\">Physical Constants<\/th>\n<\/tr>\n<tr valign=\"top\">\n<th data-valign=\"top\" data-align=\"center\">Name<\/th>\n<th>Value<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">speed of light (<em data-effect=\"italics\">c<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">2.9979 \u00d7 10<sup>8<\/sup> m\/s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">gravitational constant (<em data-effect=\"italics\">G<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">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 data-valign=\"top\" data-align=\"left\">Planck\u2019s constant (<em data-effect=\"italics\">h<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">6.626 \u00d7 10<sup>\u221234<\/sup> J-s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of a hydrogen atom (<em data-effect=\"italics\">M<\/em><sub>H<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.673 \u00d7 10<sup>\u221227<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of an electron (<em data-effect=\"italics\">M<\/em><sub>e<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">9.109 \u00d7 10<sup>\u221231<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Rydberg constant ( [latex]{R}_{\\infty }[\/latex] )<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.0974 \u00d7 10<sup>7<\/sup> m<sup>\u22121<\/sup>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Stefan-Boltzmann constant (\u03c3)<\/td>\n<td data-valign=\"top\" data-align=\"left\">5.670 \u00d7 10<sup>\u22128<\/sup> J\/(s\u00b7m<sup>2<\/sup> deg<sup>4<\/sup>)<a data-type=\"footnote-number\" name=\"footnote-ref1\" href=\"#footnote1\"><sup>1<\/sup><\/a>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Wien\u2019s law constant (\u03bb<sub>max<\/sub>T)<\/td>\n<td data-valign=\"top\" data-align=\"left\">2.898 \u00d7 10<sup>\u22123<\/sup> m K<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">electron volt (energy) (eV)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.602 \u00d7 10<sup>\u221219<\/sup> J<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">energy equivalent of 1 ton TNT<\/td>\n<td data-valign=\"top\" data-align=\"left\">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\">\n<thead>\n<tr>\n<th colspan=\"2\" data-align=\"center\">Astronomical Constants<\/th>\n<\/tr>\n<tr valign=\"top\">\n<th data-valign=\"top\" data-align=\"center\">Name<\/th>\n<th>Value<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">astronomical unit (AU)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.496 \u00d7 10<sup>11<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Light-year (ly)<\/td>\n<td data-valign=\"top\" data-align=\"left\">9.461 \u00d7 10<sup>15<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">parsec (pc)<\/td>\n<td data-valign=\"top\" data-align=\"left\">3.086 \u00d7 10<sup>16<\/sup> m = 3.262 light-years<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">sidereal year (y)<\/td>\n<td data-valign=\"top\" data-align=\"left\">3.156 \u00d7 10<sup>7<\/sup> s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of Earth (<em data-effect=\"italics\">M<\/em><sub>Earth<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">5.974 \u00d7 10<sup>24<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">equatorial radius of Earth (<em data-effect=\"italics\">R<\/em><sub>Earth<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">6.378 \u00d7 10<sup>6<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">obliquity of ecliptic<\/td>\n<td data-valign=\"top\" data-align=\"left\">23.4\u00b0 26\u2019<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">surface gravity of Earth (<em data-effect=\"italics\">g<\/em>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">9.807 m\/s<sup>2<\/sup>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">escape velocity of Earth (<em data-effect=\"italics\">v<\/em><sub>Earth<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.119 \u00d7 10<sup>4<\/sup> m\/s<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">mass of Sun (<em data-effect=\"italics\">M<\/em><sub>Sun<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.989 \u00d7 10<sup>30<\/sup> kg<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">equatorial radius of Sun (<em data-effect=\"italics\">R<\/em><sub>Sun<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">6.960 \u00d7 10<sup>8<\/sup> m<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">luminosity of Sun (<em data-effect=\"italics\">L<\/em><sub>Sun<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">3.85 \u00d7 10<sup>26<\/sup> W<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">solar constant (flux of energy received at Earth) (S)<\/td>\n<td data-valign=\"top\" data-align=\"left\">1.368 \u00d7 10<sup>3<\/sup> W\/m<sup>2<\/sup>\n<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"top\" data-align=\"left\">Hubble constant (H<sub>0<\/sub>)<\/td>\n<td data-valign=\"top\" data-align=\"left\">approximately 20 km\/s per million light-years, or approximately 70 km\/s per megaparsec<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-type=\"footnote-refs\">\n<h2 data-type=\"footnote-title\">Footnotes<\/h2>\n<ol>\n<li>\n<a data-type=\"footnote-ref\" name=\"footnote1\" href=\"#footnote-ref1\" id=\"footnote1\">1<\/a> deg stands for degrees Celsius or kelvins<\/li>\n<\/ol>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-28\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Astronomy. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/2e737be8-ea65-48c3-aa0a-9f35b4c6a966@10.1\">http:\/\/cnx.org\/contents\/2e737be8-ea65-48c3-aa0a-9f35b4c6a966@10.1<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/2e737be8-ea65-48c3-aa0a-9f35b4c6a966@10.1.<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17,"menu_order":5,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Astronomy\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/contents\/2e737be8-ea65-48c3-aa0a-9f35b4c6a966@10.1\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/2e737be8-ea65-48c3-aa0a-9f35b4c6a966@10.1.\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-28","chapter","type-chapter","status-publish","hentry"],"part":18,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/chapters\/28","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/wp\/v2\/users\/17"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/chapters\/28\/revisions"}],"predecessor-version":[{"id":1122,"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/chapters\/28\/revisions\/1122"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/parts\/18"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/chapters\/28\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/wp\/v2\/media?parent=28"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/pressbooks\/v2\/chapter-type?post=28"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/wp\/v2\/contributor?post=28"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/wp-json\/wp\/v2\/license?post=28"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}