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  • 1
    Online-Ressource
    Online-Ressource
    Cham :Springer International Publishing :
    UID:
    almahu_9949255032102882
    Umfang: XXII, 339 p. 38 illus., 12 illus. in color. , online resource.
    Ausgabe: 1st ed. 2022.
    ISBN: 9783030897581
    Serie: Space Technology Library, 40
    Inhalt: This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authors-all experienced experts in astrodynamics and space missions-take on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors. The stages are elementary yet rigorous; suggested student research project topics are provided. After deriving the variational equations, the authors apply them to many interesting problems, including the Earth-Moon system, the effect of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation due to atmospheric drag. Along the way, they introduce several useful techniques such as averaging, Poincaré's method of small parameters, and variation of parameters. In the end, this textbook will help students, practicing engineers, and professionals across the fields of astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and others.
    Anmerkung: Chapter 1. The n-Body Problem -- Chapter 2. General Perturbations -- Chapter 3. Evaluation of Lagrange's Brackets -- Chapter 4. Lagrange's Planetary Equations -- Chapter 5. Expansion of the Perturbation Function -- Chapter 6. The Earth-Moon System -- Chapter 7. Potential of an Oblate Spheroid -- Chapter 8. Effects of General Relativity -- Chapter 9. Perturbations due to Atmospheric Drag -- Chapter 10. Periodic Solutions in Nonlinear Oscillations.
    In: Springer Nature eBook
    Weitere Ausg.: Printed edition: ISBN 9783030897574
    Weitere Ausg.: Printed edition: ISBN 9783030897598
    Weitere Ausg.: Printed edition: ISBN 9783030897604
    Sprache: Englisch
    URL: Volltext  (URL des Erstveröffentlichers)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    UID:
    gbv_1794982574
    Umfang: 1 Online-Ressource (xxii, 339 Seiten) , Illustrationen, Diagramme
    ISBN: 9783030897581
    Serie: Space Technology Library volume 40
    Inhalt: Chapter 1. The n-Body Problem -- Chapter 2. General Perturbations -- Chapter 3. Evaluation of Lagrange’s Brackets -- Chapter 4. Lagrange’s Planetary Equations -- Chapter 5. Expansion of the Perturbation Function -- Chapter 6. The Earth-Moon System -- Chapter 7. Potential of an Oblate Spheroid -- Chapter 8. Effects of General Relativity -- Chapter 9. Perturbations due to Atmospheric Drag -- Chapter 10. Periodic Solutions in Nonlinear Oscillations.
    Inhalt: This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authors—all experienced experts in astrodynamics and space missions—take on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors. The stages are elementary yet rigorous; suggested student research project topics are provided. After deriving the variational equations, the authors apply them to many interesting problems, including the Earth-Moon system, the effect of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation due to atmospheric drag. Along the way, they introduce several useful techniques such as averaging, Poincaré's method of small parameters, and variation of parameters. In the end, this textbook will help students, practicing engineers, and professionals across the fields of astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and others.
    Weitere Ausg.: ISBN 9783030897574
    Weitere Ausg.: ISBN 9783030897604
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 9783030897574
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 9783030897598
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 9783030897604
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Longuski, James M. Introduction to orbital perturbations Cham, Switzerland : Springer, 2022 ISBN 9783030897574
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 3
    Online-Ressource
    Online-Ressource
    Cham, Switzerland :Springer,
    UID:
    almafu_9960178657702883
    Umfang: 1 online resource (349 pages) : , illustrations (some color).
    ISBN: 3-030-89758-3
    Serie: Space Technology Library ; v.40
    Inhalt: This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authorsall experienced experts in astrodynamics and space missionstake on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors.
    Anmerkung: Intro -- Preface -- Acknowledgments -- Contents -- Nomenclature -- Coordinate Systems -- Latin Characters -- Greek Characters -- Mathematical Symbols and Operators -- Method of Averaging Symbols -- Chapter 1. The n-Body Problem Chapter 2. General Perturbations Chapter 3. Evaluation of Lagranges Brackets Chapter 4. Lagranges Planetary Equations Chapter 5. Expansion of the Perturbation Function Chapter 6. The Earth-Moon System Chapter 7. Potential of an Oblate Spheroid Chapter 8. Effects of General Relativity Chapter 9. Perturbations due to Atmospheric Drag Chapter 10. Periodic Solutions in Nonlinear Oscillations
    Weitere Ausg.: Print version: Longuski, James M. Introduction to Orbital Perturbations Cham : Springer International Publishing AG,c2022 ISBN 9783030897574
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
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