Rotational Motion of Celestial Bodies
Seiten
2016
Springer Verlag, Japan
978-4-431-54209-4 (ISBN)
Springer Verlag, Japan
978-4-431-54209-4 (ISBN)
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Starting from the concept of rigid bodies, this book reviews necessary mathematical tools such as rotation matrices and Euler angles, and describes both Lagrange and Hamilton methods of analytical dynamics. Includes applications such as the rotation of Ceres.
This book presents a basic theoretical treatment of rotational motion that is applicable to the Earth, Moon, solid planets, satellites, asteroids, and other rigid-body-like celestial bodies. Starting from the concept of rigid bodies, the book describes necessary mathematical tools such as rotation matrices or Euler angles. The book is structured to derive the basic equation of motion by regarding the finite body as a group of particles under constraint. The solution of the body's free motion is elucidated completely using the elliptic functions and incomplete elliptic integrals. Their numerical computation is briefly explained in the Appendix. In addition, the book discusses the approximated solution of rotation under gravitational tidal torque. This process leads to a rough estimate of the forced precession, nutation, and length-of-day variation of the Earth and other bodies. Appropriate for the advanced level of the material, two types of treatments of analytical dynamics are described: those of Lagrange and Hamilton. Finally, the book presents applications including the rotation of Ceres. The general level of the book is suitable for those in graduate courses of study.
This book presents a basic theoretical treatment of rotational motion that is applicable to the Earth, Moon, solid planets, satellites, asteroids, and other rigid-body-like celestial bodies. Starting from the concept of rigid bodies, the book describes necessary mathematical tools such as rotation matrices or Euler angles. The book is structured to derive the basic equation of motion by regarding the finite body as a group of particles under constraint. The solution of the body's free motion is elucidated completely using the elliptic functions and incomplete elliptic integrals. Their numerical computation is briefly explained in the Appendix. In addition, the book discusses the approximated solution of rotation under gravitational tidal torque. This process leads to a rough estimate of the forced precession, nutation, and length-of-day variation of the Earth and other bodies. Appropriate for the advanced level of the material, two types of treatments of analytical dynamics are described: those of Lagrange and Hamilton. Finally, the book presents applications including the rotation of Ceres. The general level of the book is suitable for those in graduate courses of study.
Toshio,Fukushima, Professor National Astronomical Observatory of Japan, Tokyo, Japan Science Council of Japan: Member International Astronomical Union: Member, Division I Geodetic Society of Japan: Council Member elestial Mechanics and Dynamical Astronomy (an academic journal): Associate Editor
Rigid body.- Mathematics of roation.- Physics of rotation.- Free rotation.- Elliptic functions and integrals.- Forced rotation.- Analytical dynamics of rotation.- Numerical integration of rotation.- Non-rigid effects.- Examples.- General relativistic effects.
| Reihe/Serie | Astronomy and Astrophysics Library |
|---|---|
| Zusatzinfo | 100 black & white illustrations, 50 colour illustrations, biography |
| Verlagsort | Tokyo |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Einbandart | gebunden |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik |
| Technik ► Luft- / Raumfahrttechnik | |
| ISBN-10 | 4-431-54209-4 / 4431542094 |
| ISBN-13 | 978-4-431-54209-4 / 9784431542094 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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