Optimal space flight navigation : an analytical approach /: an analytical approach. ([2019])

• Record Type: Book
• Further Information: Note: Ashish Tewari.
• Authors: Tewari, Ashish
• Contents: Intro; Preface; Contents; 1 Introduction; 1.1 Optimal Control; 1.2 Space Vehicle Guidance; 2 Analytical Optimal Control; 2.1 Introduction; 2.2 Optimization of Static Systems; 2.2.1 Static Equality Constraints; 2.2.2 Inequality Constraints; 2.3 Dynamic Equality Constraints and Unbounded Inputs; 2.4 Special Boundary Conditions; 2.4.1 Fixed Terminal Time; Fixed Terminal State; Free Terminal State; Terminal State on a Hypersurface; 2.4.2 Free Terminal Time; Fixed Terminal State; Free Terminal State; Time-Varying Terminal State; Terminal State on a Moving Hypersurface Terminal State Partially Fixed2.5 Sufficient Condition for Optimality; 2.6 Pontryagin's Minimum Principle; 2.7 Hamilton-Jacobi-Bellman Formulation; 2.8 Time-Invariant Systems; 2.9 Linear Systems with Quadratic Cost Functions; 2.10 Illustrative Examples; 2.11 Singular Optimal Control; 2.11.1 Generalized Legendre-Clebsch Necessary Condition; 2.11.2 Jacobson's Necessary Condition; 2.12 Numerical Solution Procedures; 2.12.1 Shooting Method; 2.12.2 Collocation Method; Exercises; 3 Orbital Mechanics and Impulsive Transfer; 3.1 Introduction; 3.2 Keplerian Motion 3.2.1 Reference Frames of Keplerian Motion3.2.2 Time Equation; Elliptical Orbit (0de1); Parabolic Escape Trajectory (e=1); 3.2.3 Lagrange's Coefficients; 3.3 Impulsive Orbital Transfer; 3.3.1 Minimum Energy Transfer; 3.4 Lambert's Transfer; 3.4.1 Stumpff Function Method; 3.4.2 Hypergeometric Function Method; 3.5 Optimal Impulsive Transfer; 3.5.1 Coasting Arc; 3.5.2 Hohmann Transfer; 3.5.3 Outer Bi-elliptical Transfer; Exercises; 4 Two-Body Maneuvers with Unbounded Continuous Inputs; 4.1 Introduction; 4.2 A Motivating Example; 4.3 Equations of Motion 4.4 Optimal Low-Thrust Orbital Transfer4.4.1 Coplanar Orbital Transfer; 4.4.2 Plane Change Maneuver; 4.4.3 General Orbital Transfer; 4.5 Variational Model; 4.6 Optimal Regulation of Circular Orbits; 4.6.1 Coplanar Regulation with Radial Thrust; 4.6.2 Coplanar Regulation with Tangential Thrust; 4.7 General Orbital Tracking; 4.8 Basic Guidance with Continuous Inputs; 4.9 Line-of-Sight Guidance; 4.10 Cross-Product Steering; 4.11 Energy-Optimal Guidance; 4.12 Hill-Clohessy-Wiltshire Model; Exercises; 5 Optimal Maneuvers with Bounded Inputs; 5.1 Introduction; 5.2 Optimal Thrust Direction 5.2.1 Constant Acceleration Bound5.2.2 Bounded Exhaust Rate; 5.3 Time-Invariant Gravity Field; 5.4 Null-Thrust Arc in Central Gravity Field; 5.4.1 Inverse-Square Gravity Field; 5.5 Intermediate-Thrust Arc; 5.6 Lawden's Spiral; 5.7 Powered Arcs; 5.8 Linearization Relative to a Circular Orbit; 5.8.1 Out-of-Plane Rendezvous; 5.8.2 Coplanar Rendezvous; Exercises; 6 Flight in Non-spherical Gravity Fields; 6.1 Introduction; 6.2 Gravity Field of a Non-spherical Body; 6.2.1 Gravity of an Axisymmetric Planet; 6.2.2 Gravity Field of an Oblate Planet; 6.2.3 Gravity of an Irregular Body
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2019
• Extent: 1 online resource (277 pages)
• Subjects: 629.47/42; Navigation (Astronautics); Space flight; Electronic books
• Languages: English
• ISBNs: 9783030037895; 3030037894
• Related ISBNs: 9783030037888
• Notes: Note: Includes bibliographical references and index.; Note: Description based on online resource; title from digital title page (viewed on February 04, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.