Optimal Three Dimensional Launch Vehicle Trajectories With Attitude And Attitude Rate Constraints

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Improvements to a Hybrid Algorithm for Rapid Generation of 3-D Optimal Launch Vehicle Ascent Trajectories

Author : Peter F. Gath
Publisher : diplom.de
Page : 99 pages
File Size : 40,8 Mb
Release : 1999-12-15
Category : Technology & Engineering
ISBN : 9783832419738

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Improvements to a Hybrid Algorithm for Rapid Generation of 3-D Optimal Launch Vehicle Ascent Trajectories by Peter F. Gath Pdf

Inhaltsangabe:Abstract: This thesis presents improvements to FLOAT, a hybrid analytical/numerical algorithm for rapid generation of three dimensional, optimal launch vehicle ascent trajectories. Improvements have been made to the terminal constraints, which are now available in a more general form to allow for an optimal attachment point to the target orbit.The existing algorithm also has been extended with logic that allows for vehicles with low thrust to weight ratios in the upper stage and successful convergence of problems with path constraints for normal force and angle of attack Another major extension made to the code is the introduction of coasting arcs. Coasting arcs are implemented using a completely analytical solution for the prediction of states and costates as well as for the required sensitivity matrix. This allows for a very fast and accurate calculation even with long coasting arcs. Finally, an approach for the optimization of start and end time of coast arcs is presented.This approach was implemented and the results of a test case compare very well with results generated with OTIS for the same case. At the end, suggestions for future development are made. Inhaltsverzeichnis:Table of Contents: Summaryi Acknowledgementsii Contentsiii Nomenclaturev Figuresviii Introduction1 1.Problem description3 1.1Describing the final orbit3 1.2Coordinate frame5 1.3Dynamic system6 1.4Initial conditions7 1.5Path constraints7 1.6Performance index7 1.7Terminal constraints8 1.8Solution method8 1.9Non-dimensionalization of the variables9 2.Solving the two-point boundary value problem10 2.1Vacuumsolution10 2.1.1Simplified model equations10 2.1.2Optimal control for vacuum solution11 2.1.3Thrust integrals and closed form solution for ascent in vacuum12 2.2Atmospheric solution13 2.2.1Dynamic system and collocation variables13 2.2.2Optimality condition to solve for 1b14 2.2.3Differential equations for the costate variables16 2.3Terminal constraints16 2.3.1Attaching at perigee17 2.3.2Free attachment point17 2.4Transversality conditions18 2.4.1Final costates for attaching at perigee18 2.4.2Final costates for free attachment point19 2.4.3Equatorial orbits22 2.5Adjusting final time22 2.6Computation procedure23 2.7Numerical results24 3.Low thrust upper stages27 3.1Typical low thrust case27 3.2Problems with low thrust upper stages28 3.3Upper stage modification30 3.4Advantage of free attachment point for low thrust [...]

Optimum Trajectories to Circular Synchronous Equatorial Orbit for Smaller-than-optimum Apogee Motors

Author : Omer F. Spurlock
Publisher : Unknown
Page : 36 pages
File Size : 53,9 Mb
Release : 1970
Category : Calculus of variations
ISBN : UIUC:30112106691626

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Optimum Trajectories to Circular Synchronous Equatorial Orbit for Smaller-than-optimum Apogee Motors by Omer F. Spurlock Pdf

Analysis, procedure, and results are presented for maximizing payload capability for trajectories to circular synchronous equatorial orbit where thea pogee motor total impulse is much smaller than optimum. The trajectories begin at launch and are numerically integrated to insertion into the final orbit. Constraints on parking orbit perigee radius and duration are included. These trajectories, unlike conventional synchronous orbit trajectories, were found to require noncircular parking orbits and large amounts of inclination reduction before the apogee burn. The analysis and procedure were also applied to the conventional circular synchronous equatorial orbit problem where the burn and coast durations are optimum. Results are presented for the Applications Technology Satellite (ATS)-E missiod, which is an example of a problem where the apogee motor is small, and for the conventional case where the apogee motor is of optimum size.

NASA Technical Note

Author : Anonim
Publisher : Unknown
Page : 540 pages
File Size : 52,9 Mb
Release : 1976
Category : Electronic
ISBN : MINN:31951000846561Z

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NASA Technical Note by Anonim Pdf

Simulation Study of Three Instrument Displays to Assist in Airplane Thrust Management

Author : Milton D. McLaughlin
Publisher : Unknown
Page : 802 pages
File Size : 43,8 Mb
Release : 1970
Category : Airplanes
ISBN : UFL:31262083080548

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Simulation Study of Three Instrument Displays to Assist in Airplane Thrust Management by Milton D. McLaughlin Pdf

Three displays were evaluated on a piloted simulator, each of which provided information which could be used in thrust management. The three displays were (1) rate of change of speed, (2) potential flight-path angle, and (3) potential rate of climb. Results are presented in the form of time histories, histograms, and pilot comments. The results include comparisons of flight-path and speed control and throttle activity with and without each display and pilot comments.

NASA Scientific and Technical Reports

Author : United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Publisher : Unknown
Page : 966 pages
File Size : 51,7 Mb
Release : 1970
Category : Aeronautics
ISBN : STANFORD:36105113793769

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NASA Scientific and Technical Reports by United States. National Aeronautics and Space Administration Scientific and Technical Information Division Pdf

A Selected Listing of NASA Scientific and Technical Reports

Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher : Unknown
Page : 470 pages
File Size : 53,5 Mb
Release : 1969
Category : Aeronautics
ISBN : CORNELL:31924057848859

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A Selected Listing of NASA Scientific and Technical Reports by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division Pdf

NASA Scientific and Technical Reports and Publications for 1969 - A Selected Listing

Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher : Unknown
Page : 956 pages
File Size : 43,5 Mb
Release : 1970
Category : Science
ISBN : NASA:31769000659238

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NASA Scientific and Technical Reports and Publications for 1969 - A Selected Listing by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division Pdf

Monthly Catalog of United States Government Publications

Author : United States. Superintendent of Documents
Publisher : Unknown
Page : 1320 pages
File Size : 44,7 Mb
Release : 1966
Category : Government publications
ISBN : WISC:89035089036

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Monthly Catalog of United States Government Publications by United States. Superintendent of Documents Pdf

Monthly Catalog of United States Government Publications, Cumulative Index

Author : United States. Superintendent of Documents
Publisher : Unknown
Page : 1348 pages
File Size : 51,6 Mb
Release : 1970
Category : United States
ISBN : STANFORD:36105019598304

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Monthly Catalog of United States Government Publications, Cumulative Index by United States. Superintendent of Documents Pdf

Applied Mechanics Reviews

Author : Anonim
Publisher : Unknown
Page : 568 pages
File Size : 48,8 Mb
Release : 1972
Category : Mechanics, Applied
ISBN : UCAL:C2682438

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Applied Mechanics Reviews by Anonim Pdf