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Optimum Low Thrust Elliptic Orbit Transfer Using Numerical Averaging
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Book Synopsis Optimum Low Thrust Elliptic Orbit Transfer Using Numerical Averaging by : Zahi Bassem Tarzi
Download or read book Optimum Low Thrust Elliptic Orbit Transfer Using Numerical Averaging written by Zahi Bassem Tarzi and published by . This book was released on 2012 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Low-thrust electric propulsion is increasingly being used for spacecraft missions primarily due to its high propellant efficiency. Since analytical solutions for general low-thrust transfers are not available, a simple and fast method for low-thrust trajectory optimization is of great value for preliminary mission planning. However, few low-thrust trajectory tools are appropriate for preliminary mission design studies. The method presented in this paper provides quick and accurate solutions for a wide range of transfers by using numerical orbital averaging to improve solution convergence and include orbital perturbations. Thus allowing preliminary trajectories to be obtained for transfers which involve many revolutions about the primary body. This method considers minimum fuel transfers using first order averaging to obtain the fuel optimum rates of change of the equinoctial orbital elements in terms of each other and the Lagrange multipliers. Constraints on thrust and power, as well as minimum periapsis, are implemented and the equations are averaged numerically using a Gaussian quadrature. The use of numerical averaging allows for more complex orbital perturbations to be added without great difficulty. Orbital perturbations due to solar radiation pressure, atmospheric drag, a non-spherical central body, and third body gravitational effects have been included. These perturbations have not ben considered by previous methods using analytical averaging. Thrust limitations due to shadowing have also been considered in this study. To allow for faster convergence of a wider range of problems, the solution to a transfer which minimizes the square of the thrust magnitude is used as a preliminary guess for the minimum fuel problem. Thus, this method can be quickly applied to many different types of transfers which may include various perturbations. Results from this model are shown to provide a reduction in propellant mass required over previous minimum fuel solutions. Minimum time transfers are also solved and compared to minimum fuel.
Book Synopsis An Asymptotic Solution for Optimum Power-limited Orbit Transfer by : Theodore N. EDELBAUM
Download or read book An Asymptotic Solution for Optimum Power-limited Orbit Transfer written by Theodore N. EDELBAUM and published by . This book was released on 1965 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete first-order asymptotic solution was obtained for optimum power-limited transfer between coplanar elliptic orbits of arbitrary size, eccentricity, and orientation. The solution was obtained by the averaging method of Bogoliubov and Mitropolsky and corresponds to what they call 'the improved first approximation' including both secular and short-period terms. The problem for which the solution is presented corresponds to minimum-fuel transfer in fixed time of a low-thrust rocket operating at constant power and variable thrust. The average acceleration of the rocket is assumed small in relation to the acceleration of gravity. Analytic expressions were derived for the orbit elements, the payoff, and the optimum control. (Author).
Book Synopsis Applied Nonsingular Astrodynamics by : Jean Albert Kéchichian
Download or read book Applied Nonsingular Astrodynamics written by Jean Albert Kéchichian and published by Cambridge University Press. This book was released on 2018-08-16 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computer Program for Optimum Low-thrust Orbit Transfers by : J. A. Jolissaint
Download or read book Computer Program for Optimum Low-thrust Orbit Transfers written by J. A. Jolissaint and published by . This book was released on 1965 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The memorandum describes a digital computer program written in FORTRAN IV, which simulates mathematically a multi-stage low-thrust orbit transfer process. The process provides a means of transferring a space vehicle from some initial orbit to a desired terminal orbit along an optimum path with respect to some quadratic performance criteria. The program was generalized to enable it to handle such problems as orbit correction of a 24-hour communication satellite, transfer of a vehicle from an orbit around earth to one around a neighboring planet, or rendezvous of a space vehicle with an earth satellite. The memorandum may serve as a reference manual for those desiring to use the program, and it was organized so that the user can acquaint himself with the program to any degree desired. After a general description of the program, its capabilities and limitations, and a complete set of instructions concerning its use, two numerical examples are given. This material should provide sufficient detail for anyone desiring to use the program in its present form. For those wishing to modify or examine the substance of the program, a complete description of each routine including equations and flow charts is given. (Author).
Book Synopsis Advances in Guidance, Navigation and Control by : Liang Yan
Download or read book Advances in Guidance, Navigation and Control written by Liang Yan and published by Springer Nature. This book was released on 2023-02-10 with total page 7455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features the latest theoretical results and techniques in the field of guidance, navigation, and control (GNC) of vehicles and aircrafts. It covers a wide range of topics, including but not limited to, intelligent computing communication and control; new methods of navigation, estimation and tracking; control of multiple moving objects; manned and autonomous unmanned systems; guidance, navigation and control of miniature aircraft; and sensor systems for guidance, navigation and control etc. Presenting recent advances in the form of illustrations, tables, and text, it also provides detailed information of a number of the studies, to offer readers insights for their own research. In addition, the book addresses fundamental concepts and studies in the development of GNC, making it a valuable resource for both beginners and researchers wanting to further their understanding of guidance, navigation, and control.
Book Synopsis Optimal Transfers Between Close Elliptical Orbits by : Jean Pierre Marec
Download or read book Optimal Transfers Between Close Elliptical Orbits written by Jean Pierre Marec and published by . This book was released on 1969 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Starting Conditions for Nonoscillatory Low-thrust Planet-escape Trajectories by : Wilbur F. Dobson
Download or read book Starting Conditions for Nonoscillatory Low-thrust Planet-escape Trajectories written by Wilbur F. Dobson and published by . This book was released on 1962 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimum Low Thrust Transfer Between Two Orbits by : R. Jehn
Download or read book Optimum Low Thrust Transfer Between Two Orbits written by R. Jehn and published by . This book was released on 1999 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Minimum-impulse Time-free Transfer Between Elliptic Orbits by : Frank W. Gobetz
Download or read book Minimum-impulse Time-free Transfer Between Elliptic Orbits written by Frank W. Gobetz and published by . This book was released on 1966 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximate Analysis of Optimum Low Thrust Transfer Between Coplanar Hyperbolic Orbits by : L. Moulin
Download or read book Approximate Analysis of Optimum Low Thrust Transfer Between Coplanar Hyperbolic Orbits written by L. Moulin and published by . This book was released on 1964 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization of low thrust transfer between coplanar hyperbolic orbits was analyzed on the basis of an approximate analytical solution, in the case of constant thrust set at a constant angle to the velocity vector. The investigation bears upon minimization of fuel consumption and selection of an ideal initial orbit. For given initial and final orbits it is shown that optimum conditions can be obtained with tangential thrust. Further refinement consists of a proper selection of the angular momentum of the initial orbit, so as to either initiate or terminate low thrust propulsion as close as possible to perigee, depending upon the direction of transfer. (Author).
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1976 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings by : United States. National Congress of Applied Mechanics
Download or read book Proceedings written by United States. National Congress of Applied Mechanics and published by . This book was released on 1962 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722620486 Total Pages :60 pages Book Rating :4.6/5 (24 download)
Book Synopsis Low Thrust Optimal Orbital Transfers by : National Aeronautics and Space Administration (NASA)
Download or read book Low Thrust Optimal Orbital Transfers written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-08 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many optimal transfer problems it is reasonable to expect that the minimum time solution is also the minimum fuel solution. However, if one allows the propulsion system to be turned off and back on, it is clear that these two solutions may differ. In general, high thrust transfers resemble the well known impulsive transfers where the burn arcs are of very short duration. The low and medium thrust transfers differ in that their thrust acceleration levels yield longer burn arcs and thus will require more revolutions. In this research, we considered two approaches for solving this problem: a powered flight guidance algorithm previously developed for higher thrust transfers was modified and an 'averaging technique' was investigated. Cobb, Shannon S. Unspecified Center...
Book Synopsis Optimal Low-thrust Transfers to Geosynchronous Orbit by : David C. Redding
Download or read book Optimal Low-thrust Transfers to Geosynchronous Orbit written by David C. Redding and published by . This book was released on 1983 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Computation of Optimal Low- And Medium-Thrust Transfers by : National Aeronautics and Space Adm Nasa
Download or read book Theory and Computation of Optimal Low- And Medium-Thrust Transfers written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-18 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents two numerical methods considered for the computation of fuel-optimal, low-thrust orbit transfers in large numbers of burns. The origins of these methods are observations made with the extremal solutions of transfers in small numbers of burns; there seems to exist a trend such that the longer the time allowed to perform an optimal transfer the less fuel that is used. These longer transfers are obviously of interest since they require a motor of low thrust; however, we also find a trend that the longer the time allowed to perform the optimal transfer the more burns are required to satisfy optimality. Unfortunately, this usually increases the difficulty of computation. Both of the methods described use small-numbered burn solutions to determine solutions in large numbers of burns. One method is a homotopy method that corrects for problems that arise when a solution requires a new burn or coast arc for optimality. The other method is to simply patch together long transfers from smaller ones. An orbit correction problem is solved to develop this method. This method may also lead to a good guidance law for transfer orbits with long transfer times. Chuang, C.-H. Unspecified Center NAG8-921...
Book Synopsis Low Thrust Transfers Between Halo Orbits in the Earth-Moon System by : Mohammad Azhar
Download or read book Low Thrust Transfers Between Halo Orbits in the Earth-Moon System written by Mohammad Azhar and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Halo orbits are a special case of orbits, occurring as stable saddle points in the circular restricted 3-body problem, which considers the motion of a satellite under the gravitational influence of two planetary bodies orbiting around a common barycenter. These orbits are a result of the gravitational pull of the two primary planetary bodies and the Coriolis and centrifugal acceleration on the orbiting satellite due to those bodies. Thus, these orbits exist in any three body system such as the Earth-Moon system, Earth-Sun system and so on. With the interest in the advantages of halo orbits, it is inevitable that transfers between these orbits will be an important aspect of future missions. Generally, impulsive transfers have been used in mission studies for transfers from or to halo orbits, these result in relatively higher propellant consumption; therefore this thesis examines low thrust orbital transfers.Halo orbits around Lagrange point L1 and L2 in the Earth-Moon system are the targeted orbits and transfers between halo orbits around these points are proposed using low thrust. The initial conditions for the lower amplitude halo orbits (5000-30000 km) around these points was calculated using the differential correction algorithm targeting the orbit amplitude in the out-of-plane direction, that is, the size of the orbit along the z-axis, which utilizes the state transition matrix to produce a periodic orbit around the Lagrange points.Particle Swarm Optimization (PSO) was used to calculate the initial conditions for higher amplitude orbits (35000-70000 km), which is a heuristic optimization method that utilizes "swarm intelligence", and allows the particles to search for an optimal solution through interaction and cooperation. The circular restricted 3-body dynamics were used to derive the initial conditions of the targeted orbits, and then the same equations were derived including the thrust of the spacecraft. The in-plane and out-of-plane thrust pointing angles for the transfer trajectory were represented using third-degree polynomials as a function of time, and PSO was used to determine the optimal solutions for the coefficients of the thrust pointing angles and the transfer trajectory time.Simulations were run for different amplitude halo orbits and for spacecraft with different specific impulses. The results are discussed for all the different amplitude orbits and the feasibility of each orbit type transfer is included. The simulations were first run for different amplitude orbits with constant thrust magnitude throughout the transfer trajectory, and then the simulations were run to include a coasting phase in the transfer trajectory to further minimize the fuel consumption. The simulations were carried out for three different cases, where a Hall thruster was utilized for test case 1, and a chemical thruster was utilized for test case 2, in order to optimize continuous thrust trajectories from one halo orbit to another. For test case 3 the same chemical thruster was utilized but with the inclusion of a thrust arc for the same orbits.The PSO was run for 1000 iterations with 250 particles for test case 1 and 2, and it was found that the maximum error in position was 0.038 km for the 20000 km amplitude halo orbit and in velocity it was 1.2 1010 km/s for the same 20000 km z-amplitude halo orbit, using a Hall thruster. For trajectories using a chemical thruster, it was found that the maximum error in position was 0.067 km and in velocity it was 5.27 1012 km/s. With the inclusion of thrust arc the time of flight increased but the algorithm proved to be more accurate with the maximum error in position being 0.00384 km and in velocity being 4.89 1010 km/s. These results demonstrated that PSO is able to determine optimum transfer trajectories between halo orbits around Earth-Moon L1 and L2 libration points for continuous low-thrust trajectories, as well as for finite-thrust trajectories with and without an assumed coasting arc.
Author :United States. National Aeronautics and Space Administration Scientific and Technical Information Division Publisher : ISBN 13 : Total Pages :966 pages Book Rating :4.F/5 ( download)
Book Synopsis NASA Scientific and Technical Reports by : United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1970 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt:
