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Titlebook: General Relativity for Planetary Navigation; James Miller,Connie J. Weeks Book 2021 The Author(s), under exclusive license to Springer Nat

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發(fā)表于 2025-3-21 17:56:05 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱General Relativity for Planetary Navigation
編輯James Miller,Connie J. Weeks
視頻videohttp://file.papertrans.cn/383/382118/382118.mp4
概述Explores General Relativity from a space navigation perspective.Provides a linear progression from theory to experimental results in planetary spacecraft navigation.Includes detailed explanations of m
叢書名稱SpringerBriefs in Space Development
圖書封面Titlebook: General Relativity for Planetary Navigation;  James Miller,Connie J. Weeks Book 2021 The Author(s), under exclusive license to Springer Nat
描述.This brief approaches General Relativity from a planetary navigation perspective, delving into the unconventional mathematical methods required to produce computer software for space missions. It provides a derivation of the Einstein field equations and describes experiments performed on the Near Earth Asteroid Rendezvous mission, spanning General Relativity Theory from the fundamental assumptions to experimental verification..The software used for planetary missions is derived from mathematics that use matrix notation.? An alternative is to use Einstein summation notation, which enables the mathematics to be presented in a compact form but makes the geometry difficult to understand.? In this book, the relationship of matrix notation to summation notation is shown.? The purpose is to enable the reader to derive the mathematics used in the software in either matrix notation or summation notation.?.This brief is a useful tool for advanced students andyoung professionals embarking on careers in planetary navigation..
出版日期Book 2021
關(guān)鍵詞einstein field equation derivation; NEAR space mission; Near Earth Asteroid Rendezvous mission; space n
版次1
doihttps://doi.org/10.1007/978-3-030-77546-9
isbn_softcover978-3-030-77545-2
isbn_ebook978-3-030-77546-9Series ISSN 2191-8171 Series E-ISSN 2191-818X
issn_series 2191-8171
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2021
The information of publication is updating

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Emery Brusset,Cedric de Coning,Bryn Hughesravity field inside a body is also described. In curved space a volume element is not cubical. A transformation is defined that makes the volume element cubical. The result is called isotropic Schwarzschild coordinates that make the resulting geometry look more Euclidean and are the coordinates used for spacecraft navigation.
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Comparison of Numerical Integration and Analytic Solutions, most interest are the precession of Mercury’s orbit, the bending of light by the sun’s gravity field, the delay in a signal transmitted from a spacecraft to Earth, clock time keeping, solar pressure, and planetary and stellar aberration. Formulas for these parameters are compared with the results of numerical integration.
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Einstein Field Equations,and are well defined in many sources. Since navigators use matrix notation, some of the key derivations are repeated in matrix notation. Also, a computer solution for the metric tensor and equations of motion is obtained by processing simulated data in an orbit determination filter thus bypassing th
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General Relativity Time Delay Experiment,ther contributors to the delay. These other contributors included determination of position of the spacecraft and Earth tracking stations relative to the sun, troposphere and ionosphere delay, solar plasma delay, tracking station locations, and cabling delays. The experiment enabled verifying Einste
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Book 2021mmation notation is shown.? The purpose is to enable the reader to derive the mathematics used in the software in either matrix notation or summation notation.?.This brief is a useful tool for advanced students andyoung professionals embarking on careers in planetary navigation..
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發(fā)表于 2025-3-23 08:19:17 | 只看該作者
Complexity Theory of Real Functionsand are well defined in many sources. Since navigators use matrix notation, some of the key derivations are repeated in matrix notation. Also, a computer solution for the metric tensor and equations of motion is obtained by processing simulated data in an orbit determination filter thus bypassing th
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