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Applied Nonsingular Astrodynamics

Applied Nonsingular Astrodynamics

Applied Nonsingular Astrodynamics

Optimal Low-Thrust Orbit Transfer
Jean Albert Kéchichian, The Aerospace Corporation
November 2018
Hardback
9781108472364
£105.00
GBP
Hardback
USD
eBook

    This essential book describes the mathematical formulations and subsequent computer simulations required to accurately project the trajectory of spacecraft and rockets in space, using the formalism of optimal control for minimum-time transfer in general elliptic orbit. The material will aid research students in aerospace engineering, as well as practitioners in the field of spaceflight dynamics, in developing simulation software to carry out trade studies useful in vehicle and mission design. It will teach readers to develop flight software for operational applications in autonomous mode, so to actually transfer space vehicles from one orbit to another. The practical, real-life applications discussed will give readers a clear understanding of the mathematics of orbit transfer, allow them to develop their own operational software to fly missions, and to use the contents as a research tool to carry out even more complex analyses.

    • Familiarizes the reader with the mathematics of orbit transfer using singularity-free formulations
    • Practical, real-life applications provide the reader with the tools to develop their own operational software
    • A useful resource in developing simulation software to carry out trade studies for vehicle and mission design

    Reviews & endorsements

    'This book represents a lifetime of valuable contributions to optimal low-thrust orbit transfer.' John E. Prussing, University of Illinois

    'This is a book for specialists in orbital dynamics, authored by one of the leading current practitioners in the field. Its subtitle, 'Optimal Low-thrust Orbit Transfer' reflects one of the principal technical drivers behind the book, namely that an increasing number of satellites in Earth orbit are now using more fuel-efficient ion thrusters which have far lower thrust-levels than their chemically-propelled predecessors. As a consequence, there is an increasing need to optimise the longer trajectories - both in terms of time and distance travelled - that result from the use of this technology.' Stuart Eves, The Aeronautical Journal

    See more reviews

    Product details

    November 2018
    Hardback
    9781108472364
    476 pages
    261 × 183 × 29 mm
    1.19kg
    181 b/w illus.
    Available

    Table of Contents

    • Preface
    • 1. The fundamental classic analysis of Edelbaum, Sackett and Malchow, with additional detailed derivations and extensions
    • 2. The analysis of the six-element formulation
    • 3. Optimal low-thrust rendezvous using equinoctial orbit elements
    • 4. Optimal low-thrust transfer using variable bounded thrust
    • 5. Minimum-time low-thrust rendezvous and transfer using epoch mean longitude formulation
    • 6. Trajectory optimization using eccentric longitude formulation
    • 7. Low-thrust trajectory optimization based on epoch eccentric longitude formulation
    • 8. Mechanics of trajectory optimization using nonsingular variational equations in polar coordinates
    • 9. Trajectory optimization using nonsingular orbital elements and true longitude
    • 10. The treatment of the Earth oblateness effect in trajectory optimization in equinoctial coordinates
    • 11. Minimum-time constant acceleration orbit transfer with first-order oblateness effect
    • 12. The streamlined and complete set of the nonsingular J2-perturbed dynamic and adjoint equations for trajectory optimization in terms of eccentric longitude
    • 13. The inclusion of the higher order harmonics in the modeling of optimal low-thrust orbit transfer
    • 14. Analytic expansions of luni-solar gravity perturbations along rotating axes for trajectory optimization: part 1: the dynamic system
    • 15. Analytic expansions of luni-solar gravity perturbations along rotating axes for trajectory optimization: part 2: the multipliers system and simulations
    • 16. Fourth order expansions of the luni-solar gravity perturbations along rotating axes for trajectory optimization
    • Index.