ISBN: 978-81-7319-766-6
E-ISBN: Publication Year: 2006
Pages: 348
Binding: Hard Back Dimension: 185mm x 240mm Weight: 900

About the book

Celestial Mechanics reviews the current state-of-the-art in the area of Space Dynamics and Celestial Mechanics. The contents have been divided into five parts. The first part contains articles related to Restricted Three Body Problem. The second part contains Satellite Theory, Non-linear motion and stability of two cable connected artificial earth satellites under perturbative forces. In the third part the Gravitational interaction between galaxies and motion of the moon is discussed in detail. The fourth part describes the General Celestial Mechanics, the theory of exo-solar planets confirming the migratory theory of planets and the Geometric Algebra an alternative approach to celestial mechanics. The book ends with the Moon Mission to be carried out by Government of India at Vikram Sarabhai Space Centre, Thiruvananthapuram. The Chapter “Non-traditional Trajectory Designs for Lunar Missions – An Approach for Chandrayaan-I” describes in detail the Moon Missions in different countries.

Table of Contents

PART I: RESTRICTED THREE BODY PROBLEM: First Order Normalisation in the Generalised Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag / First Order Normalization in Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag / Stability of Collinear Points in the Generalised Restricted Three Body Problem / Stability of Triangular Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag / Effect of Perturbations on the Stability of Triangular Equilibrium Points in the Generalised Photo Gravitational Restricted Three Body Problem / Collinear Equilibrium Points in Photo Gravitational Restricted Problem of 2 + 2 Bodies / Equilibrium Point and Stability in Robe’s Restricted Problem of Three Bodies when Second Primary is a Triaxial Rigid Body and Perturbation Effects Act in Coriolis and Centrifugal Forces / The “Out of Plane” Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem / Stability of Triangular Equilibrium Points in Robe’s Generalised Restricted Three Body Problem / Stability of Equilibrium Points in Robe’s Generalised Photogravitational Restricted Three Body Problem / Equilibrium Points in the Robe’s Restricted Three Body Problem / Study of Equilibrium of the Libration Point in the Generalised Photograviational Restricted Three Body Problem / Equations of Motion in the Generalised Photogravitational Elliptic Restricted Three Body Problem / Stability of Collinear Equilibrium Points in the Generalised Photogravitational Elliptic Restricted Three Body Problem / Stability of Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem / Non-Linear Stability of Triangular Libration Points of Restricted Three Body Problems under the Presence of Resonances / PART II: SATELLITE THEORY: A Study of the Non-Linear Motion and Stability of Two Cable-Connected Artificial Earth-Satellites Under Perturbative Forces Due to the Earth’s Oblateness, Air-Drag and Pull of the Terrestrial Magnetic Field / Motion of Twin Satellites with Reference to the Oblateness of the Earth and Air Drag in Circular Orbit of the Centre of Mass / On Fourth-Order Theory for Contraction of Satellite Orbits using Ks Elements with Air Drag / Analytical Orbit Predictions with Air Drag using K-S Uniformly Regular Canonical Elements / An Integrated Approach for Risk Object Re-Entry Predictions in Terms of K-S Elements and Genetic Algorithm / Evolutional and Non Evolutional Motion of a System of Two Cable Connected Artificial Satellites under Some Perturbative Forces / Non-Linear Motion of the two Cable Connected Artificial Earth Satellites under the Perturbative Forces due to the Earth’s Oblateness, Solar Pressure, Air Drag and Terrestrial Magnetic Field / PART III: STELLAR SYSTEM AND GALAXIES: Gravitational Interactions between Galaxies / The Motion of the Moon / PART IV: GENERAL CELESTIAL MECHANICS: Jupiter-LikeExo-Solar Planets Confirm the Migratory Theory of Planets / Logical Problems in Promoting Physics / Some Problems of Space Dynamics / Indian Space Program and its Policy Dimensions / On the Sitnikov Problem / Geometric Algebra – An Alternative Approach to Celestial Mechanics / New Coordinate Systems and Potentials on a Plane Providing Unusual Integral of Motion / PART V: MOON MISSION: Non-Traditional Trajectory Designs for Lunar Missions – An Approach for Chandrayan-1.

Audience

Graduate-Undergraduate Students, Teachers & Researchers in Physics