Applied Nonsingular Astrodynamics Optimal Low Thrust Orbit Transfer 1st Edition by Jean Albert Kéchichian ISBN 9781108472364 1108472362

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Product details:

ISBN 10:  1108472362

ISBN 13: 9781108472364

Author: Jean Albert Kéchichian

 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.

Table of contents: 

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

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Tags: Jean Albert Kéchichian, Applied Nonsingular Astrodynamics, Optimal Low Thrust, Orbit Transfer