![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/04\/image-80.png\")
<\/figure>\n\n\n\nThe magnitude of the acceleration due to gravity at a distance of 3.59 \u00d7 10\u2077 meters above Earth\u2019s surface is approximately 0.223 m\/s\u00b2<\/strong>.<\/p>\n\n\n\n Satellites in synchronous orbit are positioned far from Earth’s surface, allowing them to match the planet\u2019s rotation period. These satellites orbit at a constant altitude of 3.59 \u00d7 10\u2077 meters<\/strong> above the Earth. To find the gravitational acceleration at this altitude, we use Newton\u2019s law of universal gravitation:<\/p>\n\n\n\n [ Where:<\/p>\n\n\n\n Plugging in the values:<\/p>\n\n\n\n [ [ This value is much lower than the 9.8 m\/s\u00b2 at Earth\u2019s surface, because gravity decreases with the square of the distance from Earth\u2019s center.<\/p>\n\n\n\n Despite the low gravity, this small force is enough to keep the satellite in orbit, as orbital motion doesn\u2019t require strong gravity\u2014just the right balance between gravitational pull and the satellite’s velocity. Understanding this helps engineers design satellite trajectories and maintain stable geosynchronous communication systems.<\/p>\n","protected":false},"excerpt":{"rendered":" Synchronous communications satellites are placed in a circular orbit that is 3.59 107 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance? The correct answer and explanation is : The magnitude of the acceleration due to gravity at a distance of 3.59 \u00d7 10\u2077 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-206829","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/206829","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=206829"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/206829\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=206829"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=206829"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=206829"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n
g = \\frac{G \\cdot M}{r^2}
]<\/p>\n\n\n\n\n
g = \\frac{6.674 \\times 10^{-11} \\cdot 5.972 \\times 10^{24}}{(4.2271 \\times 10^7)^2}
]<\/p>\n\n\n\n
g \u2248 0.223 \\, \\text{m\/s}^2
]<\/p>\n\n\n\n