CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

New Programming Approach for Steepest Descent Optimization of Rocket Trajectories

by Vishnu G Nair, Dileep M V, Prahalad K R
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 48 - Number 19
Year of Publication: 2012
Authors: Vishnu G Nair, Dileep M V, Prahalad K R
10.5120/7456-0489

Vishnu G Nair, Dileep M V, Prahalad K R . New Programming Approach for Steepest Descent Optimization of Rocket Trajectories. International Journal of Computer Applications. 48, 19 ( June 2012), 21-27. DOI=10.5120/7456-0489

@article{ 10.5120/7456-0489,
author = { Vishnu G Nair, Dileep M V, Prahalad K R },
title = { New Programming Approach for Steepest Descent Optimization of Rocket Trajectories },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 48 },
number = { 19 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 21-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume48/number19/7456-0489/ },
doi = { 10.5120/7456-0489 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:45:07.081544+05:30
%A Vishnu G Nair
%A Dileep M V
%A Prahalad K R
%T New Programming Approach for Steepest Descent Optimization of Rocket Trajectories
%J International Journal of Computer Applications
%@ 0975-8887
%V 48
%N 19
%P 21-27
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper a new programming methodology for optimizing rocket trajectories using steepest descent technique is presented. The programming is done in Matlab platform. At first the dynamical equations of rocket is derived and for the proper derivation and analysis of the equations ,Eulers integration method is used. A new programming approach is designed and the equations are optimized using steepest descent technique, assuming certain boundary conditions. The results obtained are verified and it is seen that the optimal trajectory is attained with all objectives satisfied. This project is done at Vikram Sarabhai Space Centre(VSSC),a constituent of Indian Space Research Organization(ISRO).

References
  1. John T. Betts "Survey of Numerical Methods for Trajectory Optimization", AIAA Journal of Guidance, Control and Dynamics, Vol. 21, No. 2, March-April 1998, pp. 193-207.
  2. Betts, J. T. , and Frank, P. D. , "A Sparse Nonlinear Optimization Algorithm," Journal of Optimization Theory and Applications, Vol. 82, 1994, pp. 519–541.
  3. Peter F. Gath, Klaus H. Well "Trajectory Optimization Using A Combination of Direct Multiple Shooting"AIAA Guidance, Navigation, and Control Conference and Exhibit 6-9 August 2001 Montreal, Canada.
  4. Peter Friedrich Gath "CAMTOS - A Software Suite Combining Direct and Indirect Trajectory Optimization Methods" Institute of Flugmechanik und Flugregelung University Stuttgart 2002.
  5. LukkanaVaraprasad and RadhakantPadhi "Ascent Phase Trajectory Optimization Of a Genetic Launch Vehicle " XXXII NATIONAL SYSTEMS CONFERENCE, NSC 2008, December 17-19, 2008
  6. JukkaRanta"optimal control and flight trajectory optimization applied to evasion analysis"Espoo, March 2004
  7. Siddal, J. N. ," Optimal Engineering Design: Principles and Applications", Mercell Dekker Inc. , New York, NY, 1982.
  8. Bryson, A. E. and Denham, W. F. , "A Steepest-Ascent Method for Solving Optimum Programming Programs," Journal of Applied Mechanics, Vol. 29, pp. 247-257, June 1962.
  9. Fletcher, R. , "Practical Methods of Optimization," Vol. 2, ConstrainedOptimization,Wiley, New York, 1985.
  10. Gilberto E. Urroz, "Solution of non-linear equations" September 2004
  11. Bruce A. Conway "Spacecraft Trajectory Optimization"Cambridge University Press, © Cambridge University Press 2010ISBN-13 978-0-521-51850-5
  12. Donald Greenspan " Numerical Solution of Ordinary Differential Equations for Classical, Relativistic and Nano Systems. " Copyright © 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, ISBN: 3-527-40610-7
  13. Ulrich Walter"Astronautics" © 2008 WILEY-VCH Verlag GmbH & Co. KgaA,Weinheim ISBN:978-3-527-40685-2
  14. Mischa Kim"Continuous Low-Thrust Trajectory Optimization: Techniques And Application" © 2005 by Mischa Kim
  15. Desineni Rama Naidu "Optimal control Systems"Boca Raton London New York Washington, D. C. © 2003 by CRC Press LLC ISBN 0-8493-0892-5
  16. Bryson, A. E. , Jr. , Ho, Y. -C. , "Applied Optimal Control", Revised Printing, Hemisphere Publishing Corporation, 1975
  17. Gordon K. Smyth "Polynomial Approximation"John Wiley & Sons, Ltd, Chichester, 1998 ,ISBN 0471 975761
  18. John H. Mathews and Kurtis K. Fink "Numerical Methods Using Matlab ", 4th Edition, 2004ISBN: 0-13-065248-2
  19. "THE ART OF SCIENTIFIC COMPUTING "Copyright (C) 1986-1992 by Cambridge University Press. Programs Copyright (C) 1986-1992 by Numerical Recipes Software. ISBN 0-521-43064-X
Index Terms

Computer Science
Information Sciences

Keywords

Rocket Trajectory matlab optimization steepest Descent

Powered by PhDFocusTM