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Journal articles on the topic 'Astrodynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 July 2024

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1

Froeschlé, C. "Mappings in Astrodynamics." Symposium - International Astronomical Union 152 (1992): 375–90. http://dx.doi.org/10.1017/s0074180900091415.

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We review mappings mainly devised for the study of the dynamics of comets and asteroids. An attempt of a typology according to the method used to devise the mapping and to its deterministic or stochastic character is made.

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2

Ni, W. T. "Deep-space laser-ranging missions ASTROD and ASTROD I for astrodynamics and astrometry." Proceedings of the International Astronomical Union 3, S248 (October 2007): 379–82. http://dx.doi.org/10.1017/s1743921308019601.

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AbstractDeep-space laser ranging will be ideal for testing relativistic gravity, and mapping the solar-system to an unprecedented accuracy. ASTROD (Astrodynamical Space Test of Relativity using Optical Devices) and ASTROD I are such missions. ASTROD I is a mission with a single spacecraft; it is the first step of ASTROD with 3 spacecraft. In this talk, after a brief review of ASTROD and ASTROD I, we concentrate on the precision of solar astrodynamics that can be achieved together with implications on astrometry and reference frame ties. The precise planetary ephemeris derived from these missions together with second post-Newtonian test of relativistic gravity will serve as a foundation for future precise astrometry observations. Relativistic frameworks are discussed from these considerations.

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3

Misiak, Marcin. "Evolutionary Algorithms in Astrodynamics." International Journal of Astronomy and Astrophysics 06, no. 04 (2016): 435–39. http://dx.doi.org/10.4236/ijaa.2016.64035.

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4

Menshikov, Yuri. "Inverse Problem of Astrodynamics." World Journal of Mechanics 05, no. 12 (2015): 249–56. http://dx.doi.org/10.4236/wjm.2015.512023.

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5

IAF ASTRODYNAMICS COMMITTEE. "Recent highlights in astrodynamics." Acta Astronautica 40, no. 10 (May 1997): 685–92. http://dx.doi.org/10.1016/s0094-5765(97)00133-1.

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6

Iaf Astrodynamics Committee. "Recent progress in astrodynamics." Acta Astronautica 17, no. 10 (October 1988): 1049–57. http://dx.doi.org/10.1016/0094-5765(88)90188-9.

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7

Melton, Robert G. "Fundamentals of Astrodynamics and Applications." Journal of Guidance, Control, and Dynamics 21, no. 4 (July 1998): 672. http://dx.doi.org/10.2514/2.4291.

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8

Ferreira, Alessandra F. S., Antonio Elipe, Rodolpho V. De De Moraes, Antônio F. B. A. Prado, Othon C. Winter, and Vivian M. Gomes. "Low Thrust Propelled Close Approach Maneuvers." Symmetry 14, no. 9 (August 27, 2022): 1786. http://dx.doi.org/10.3390/sym14091786.

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9

Biggs, James D., and Colin R. McInnes. "Time-Delayed Feedback Control in Astrodynamics." Journal of Guidance, Control, and Dynamics 32, no. 6 (November 2009): 1804–11. http://dx.doi.org/10.2514/1.43672.

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10

Coffey, S., L. Healy, and H. Neal. "Applications of Parallel Processing to Astrodynamics." International Astronomical Union Colloquium 165 (1997): 61–70. http://dx.doi.org/10.1017/s0252921100046376.

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AbstractParallel processing is being used to improve the catalog of earth orbiting satellites and for problems associated with the catalog. Initial efforts centered around using SIMD parallel processors to perform debris conjunction analysis and satellite dynamics studies. More recently, the availability of cheap supercomputing processors and parallel processing software such as PVM have enabled the reutilization of existing astrodynamics software in distributed parallel processing environments. Computations once taking many days with traditional mainframes are now being performed in only a few hours. Efforts underway for the US Naval Space Command include conjunction prediction, uncorrelated target processing and a new space object catalog based on orbit determination and prediction with special perturbations methods.

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11

IAF Astrodynamics Committee. "Astrodynamics problems of the space station." Acta Astronautica 17, no. 5 (May 1988): 491–94. http://dx.doi.org/10.1016/0094-5765(88)90145-2.

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12

Szebehely, Victor, and R. B. Curran. "The history and background of astrodynamics." Acta Astronautica 20 (January 1989): 79–81. http://dx.doi.org/10.1016/0094-5765(89)90055-6.

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13

Coffey, S., L. Healy, and H. Neal. "Applications of parallel processing to astrodynamics." CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY 66, no. 1 (1997): 61–70. http://dx.doi.org/10.1007/bf00048824.

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14

Macau, Elbert E. N., and Celso Grebogi. "Control of chaos and its relevancy to spacecraft steering." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1846 (July 28, 2006): 2463–81. http://dx.doi.org/10.1098/rsta.2006.1835.

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In 1990, a seminal work named controlling chaos showed that not only the chaotic evolution could be controlled, but also the complexity inherent in the chaotic dynamics could be exploited to provide a unique level of flexibility and efficiency in technological uses of this phenomenon. Control of chaos is also making substantial contribution in the field of astrodynamics, especially related to the exciting issue of low-energy transfer. The purpose of this work is to bring up the main ideas regarding the control of chaos and targeting, and to show how these techniques can be extended to Hamiltonian situations. We give realistic examples related to astrodynamics problems, in which these techniques are unique in terms of efficiency related to low-energy spacecraft transfer and in-orbit stabilization.

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15

Berthoud, Lucinda, and Jonathan Walsh. "Using visualisations to develop skills in astrodynamics." European Journal of Engineering Education 45, no. 6 (March 30, 2020): 900–916. http://dx.doi.org/10.1080/03043797.2020.1742664.

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16

Bradley, Ben K., Brandon A. Jones, Gregory Beylkin, Kristian Sandberg, and Penina Axelrad. "Bandlimited implicit Runge–Kutta integration for Astrodynamics." Celestial Mechanics and Dynamical Astronomy 119, no. 2 (May 22, 2014): 143–68. http://dx.doi.org/10.1007/s10569-014-9551-x.

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17

Janin, G. "Dr E. A. Roth's contribution to astrodynamics." Acta Astronautica 15, no. 5 (May 1987): 245–47. http://dx.doi.org/10.1016/0094-5765(87)90069-5.

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18

Bannister, Nigel Paul. "Active Learning in Physics, Astronomy and Engineering with NASA’s General Mission Analysis Tool." Journal of Learning and Teaching in Higher Education 1, no. 1 (May 1, 2018): 7–30. http://dx.doi.org/10.29311/jlthe.v1i1.2505.

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Astrodynamics is the study of the motion of artificial satellites and spacecraft, subject to both natural and artificially induced forces. It combines celestial mechanics, attitude dynamics and aspects of positional astronomy to describe spacecraft motion and enable the planning and analysis of missions. It is of significant interdisciplinary interest with relevance to physics, astronomy and spaceflight engineering, but can be challenging to deliver in an effective, engaging manner because of the often abstract nature of some concepts, the four-dimensional nature of the problems, and the computation required to explore realistic astrodynamics behaviour. The University of Leicester has adopted NASA’s General Mission Analysis Tool as a core resource to support active learning in this subject for students at Level 6 (BSc) and Level 7 (MSc). This paper describes our approach to the implementation of GMAT as an essential element of teaching and learning in the subject.

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19

Chelnokov, Yu N. "Quaternion and Biquaternion Methods and Regular Models of Analytical Mechanics (Review)." Прикладная математика и механика 87, no. 4 (July 1, 2023): 519–56. http://dx.doi.org/10.31857/s0032823523040033.

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The work is of a survey analytical nature. The first part of the work presents quaternion and biquaternion methods for describing motion, models of the theory of finite displacements and regular kinematics of a rigid body based on the use of four-dimensional real and dual Euler (Rodrigues–Hamilton) parameters. These models, in contrast to the classical models of kinematics in Euler–Krylov angles and their dual counterparts, do not have division-by-zero features and do not contain trigonometric functions, which increases the efficiency of analytical research and numerical solution of problems in mechanics, inertial navigation, and motion control. The problem of regularization of differential equations of the perturbed spatial two-body problem, which underlies celestial mechanics and space flight mechanics (astrodynamics), is discussed using the Euler parameters, four-dimensional Kustaanheimo–Stiefel variables, and Hamilton quaternions: the problem of eliminating singularities (division by zero), which are generated by the Newtonian gravitational forces acting on a celestial or cosmic body and which complicate the analytical and numerical study of the motion of a body near gravitating bodies or its motion along highly elongated orbits. The history of the regularization problem and the regular Kustaanheim–Stiefel equations, which have found wide application in celestial mechanics and astrodynamics, are presented. We present the quaternion methods of regularization, which have a number of advantages over Kustaanheimo–Stiefel matrix regularization, and various regular quaternion equations of the perturbed spatial two-body problem (for both absolute and relative motion). The results of a comparative study of the accuracy of numerical integration of various forms of regularized equations of celestial mechanics and astrodynamics in Kustaanheimo–Stiefel variables and Newtonian equations in Cartesian coordinates are presented, showing that the accuracy of numerical integration of regularized equations in Kustaanheimo–Stiefel variables is much higher (by several orders of magnitude) than the accuracy of numerical integration Newtonian equations.

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20

Rugescu, Radu Dan, Daniele Mortari, Stefan Staicu, and Sorin Aldea. "Orthonormality and Spectral Analysis for Robotics and Astrodynamics." Solid State Phenomena 164 (June 2010): 392–404. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.392.

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A rigid transform of the E3 space into itself stands as the basis of a complete description of mechanical motions of solid bodies, where the orthogonal and normalized character (orthonormality) of the transform matrix are used as a postulate. However, the orthonormality is in fact a consequence of the condition of rigidity. The demonstration is outlined through the spectral analysis for application in the engineering of robots and astrodynamics. The problem posed is to directly find, in a general and confident manner, the elements of the rotation matrix when the direction and magnitude of the rotational displacement are given, which is an inverse design problem. Previously solved in 2-D, this problem is now extended to 3-D problems of mechanics and an implicit suggestion is made for the n-D mechanics.

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21

Vittaldev, V., E. Mooij, and M. C. Naeije. "Unified State Model theory and application in Astrodynamics." Celestial Mechanics and Dynamical Astronomy 112, no. 3 (February 3, 2012): 253–82. http://dx.doi.org/10.1007/s10569-011-9396-5.

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22

Healy, Liam M., and Jeffrey J. Travisano. "Automatic Rendering of Astrodynamics Expressions for Efficient Evaluation." Journal of the Astronautical Sciences 46, no. 1 (March 1998): 65–81. http://dx.doi.org/10.1007/bf03546193.

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23

Ortega Hernando, G., A. Martinez Barrio, C. Yabar Valles, and R. Jehn. "Editorial: special issue on astrodynamics tools and techniques." CEAS Space Journal 10, no. 1 (February 6, 2018): 1–2. http://dx.doi.org/10.1007/s12567-018-0195-7.

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24

Shirobokov, M. G., and S. P. Trofimov. "KIAM Astrodynamics Toolbox for Spacecraft Orbital Motion Design." Programming and Computer Software 50, no. 1 (February 2024): 42–52. http://dx.doi.org/10.1134/s0361768824010092.

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25

Topputo, Francesco, and Franco Bernelli-Zazzera. "Approximate Solutions to Nonlinear Optimal Control Problems in Astrodynamics." ISRN Aerospace Engineering 2013 (October 1, 2013): 1–7. http://dx.doi.org/10.1155/2013/950912.

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A method to solve nonlinear optimal control problems is proposed in this work. The method implements an approximating sequence of time-varying linear quadratic regulators that converge to the solution of the original, nonlinear problem. Each subproblem is solved by manipulating the state transition matrix of the state-costate dynamics. Hard, soft, and mixed boundary conditions are handled. The presented method is a modified version of an algorithm known as “approximating sequence of Riccati equations.” Sample problems in astrodynamics are treated to show the effectiveness of the method, whose limitations are also discussed.

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26

Kenneally, Patrick W., Scott Piggott, and Hanspeter Schaub. "Basilisk: A Flexible, Scalable and Modular Astrodynamics Simulation Framework." Journal of Aerospace Information Systems 17, no. 9 (September 2020): 496–507. http://dx.doi.org/10.2514/1.i010762.

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27

Topputo, Francesco, Edward Belbruno, and Marian Gidea. "Resonant motion, ballistic escape, and their applications in astrodynamics." Advances in Space Research 42, no. 8 (October 2008): 1318–29. http://dx.doi.org/10.1016/j.asr.2008.01.017.

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28

Bradley, Ben K., Aurore Sibois, and Penina Axelrad. "Influence of ITRS/GCRS implementation for astrodynamics: Coordinate transformations." Advances in Space Research 57, no. 3 (February 2016): 850–66. http://dx.doi.org/10.1016/j.asr.2015.11.006.

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29

Xu, Ming, Yan Wei, and Shengli Liu. "The Hamiltonian Structure-Preserving Control and Some Applications to Nonlinear Astrodynamics." Journal of Applied Mathematics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/107674.

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A systematic research on the structure-preserving controller is investigated in this paper, including its applications to the second-order, first-order, time-periodic, or degenerated astrodynamics, respectively. The general form of the controller is deduced for the typical Hamiltonian system in full feedback and position-only feedback modes, which is successful in changing the hyperbolic equilibrium to an elliptic one. With the poles assigned at any different positions on imaginary axis, the controlled Hamiltonian system is Lyapunov stable. The Floquet multiplier is employed to measure the stability of time-dependent Hamiltonian system, because the equilibrium of periodic system may be unstable even though the equilibrium is always elliptic. One type of periodic orbits is achieved by the resonant conditions of control gains, and another type is making judicious choice in the foundational motions with different frequencies. The control gains are selected from the viewpoint of both the local and global optimizations on fuel cost. This controller is applied to some astrodynamics to achieve some interesting conclusions, including stable lissajous orbits in solar sail’s three-body problem and degenerated two-body problem, quasiperiodic formation flying on aJ2-perturbed mean circular orbit, and controlled frozen orbits for a spacecraft with a high area-to-mass ratio.

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30

Biscani, Francesco, and Dario Izzo. "Revisiting high-order Taylor methods for astrodynamics and celestial mechanics." Monthly Notices of the Royal Astronomical Society 504, no. 2 (April 15, 2021): 2614–28. http://dx.doi.org/10.1093/mnras/stab1032.

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ABSTRACT We present heyoka, a new, modern and general-purpose implementation of Taylor’s integration method for the numerical solution of ordinary differential equations. Detailed numerical tests focused on difficult high-precision gravitational problems in astrodynamics and celestial mechanics show how our general-purpose integrator is competitive with and often superior to state-of-the-art specialized symplectic and non-symplectic integrators in both speed and accuracy. In particular, we show how Taylor methods are capable of satisfying Brouwer’s law for the conservation of energy in long-term integrations of planetary systems over billions of dynamical time-scales. We also show how close encounters are modelled accurately during simulations of the formation of the Kirkwood gaps and of Apophis’ 2029 close encounter with the Earth (where heyoka surpasses the speed and accuracy of domain-specific methods). heyoka can be used from both C++ and python, and it is publicly available as an open-source project.

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31

Chelnokov, Yu. "Inertial navigation in space using regular quaternion equation of astrodynamics." Прикладная математика и механика 82, no. 6 (December 2018): 706–20. http://dx.doi.org/10.31857/s003282350002735-8.

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32

Chelnokov, Y. N. "Quaternion methods and models of regular celestial mechanics and astrodynamics." Applied Mathematics and Mechanics 43, no. 1 (January 2022): 21–80. http://dx.doi.org/10.1007/s10483-021-2797-9.

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AbstractThis paper is a review, which focuses on our work, while including an analysis of many works of other researchers in the field of quaternionic regularization. The regular quaternion models of celestial mechanics and astrodynamics in the Kustaanheimo-Stiefel (KS) variables and Euler (Rodrigues-Hamilton) parameters are analyzed. These models are derived by the quaternion methods of mechanics and are based on the differential equations of the perturbed spatial two-body problem and the perturbed spatial central motion of a point particle. This paper also covers some applications of these models. Stiefel and Scheifele are known to have doubted that quaternions and quaternion matrices can be used efficiently to regularize the equations of celestial mechanics. However, the author of this paper and other researchers refuted this point of view and showed that the quaternion approach actually leads to efficient solutions for regularizing the equations of celestial mechanics and astrodynamics.This paper presents convenient geometric and kinematic interpretations of the KS transformation and the KS bilinear relation proposed by the present author. More general (compared with the KS equations) quaternion regular equations of the perturbed spatial two-body problem in the KS variables are presented. These equations are derived with the assumption that the KS bilinear relation was not satisfied. The main stages of the quaternion theory of regularizing the vector differential equation of the perturbed central motion of a point particle are presented, together with regular equations in the KS variables and Euler parameters, derived by the aforementioned theory. We also present the derivation of regular quaternion equations of the perturbed spatial two-body problem in the Levi-Civita variables and the Euler parameters, developed by the ideal rectangular Hansen coordinates and the orientation quaternion of the ideal coordinate frame.This paper also gives new results using quaternionic methods in the perturbed spatial restricted three-body problem.

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33

López, R., and J. F. San-Juan. "an e-Science project in Astrodynamics and Celestial Mechanics fields." Computer Physics Communications 184, no. 5 (May 2013): 1381–86. http://dx.doi.org/10.1016/j.cpc.2013.01.003.

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34

Chelnokov, Yu N. "Inertial Navigation in Space Using the Regular Quaternion Equations of Astrodynamics." Mechanics of Solids 54, no. 2 (March 2019): 157–68. http://dx.doi.org/10.3103/s0025654419030063.

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35

Burrell, Doug. "Book review / Critique de livre : Modern Astrodynamics. Edited by Pini Gurfil." Canadian Aeronautics and Space Journal 55, no. 1 (April 2009): 25. http://dx.doi.org/10.5589/q09-900.

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36

AZIMOV, D. "New Trends in Astrodynamics and Applications: Optimal Trajectories for Space Guidance." Annals of the New York Academy of Sciences 1065, no. 1 (December 1, 2005): 189–209. http://dx.doi.org/10.1196/annals.1370.002.

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37

BELBRUNO, E. "Low Energy Trajectories and Chaos: Applications to Astrodynamics and Dynamical Astronomy." Annals of the New York Academy of Sciences 1065, no. 1 (December 1, 2005): 1–14. http://dx.doi.org/10.1196/annals.1370.017.

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38

Bainum, Peter M. "Breakwell memorial lecture: Review of Astrodynamics, 1958 – 2001 - a personal perspective." Acta Astronautica 51, no. 1-9 (July 2002): 517–26. http://dx.doi.org/10.1016/s0094-5765(02)00037-1.

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39

Chelnokov, Yu N. "Quaternion regularization in celestial mechanics, astrodynamics, and trajectory motion control. III." Cosmic Research 53, no. 5 (September 2015): 394–409. http://dx.doi.org/10.1134/s0010952515050044.

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40

Junkins, John L., Ahmad Bani Younes, Robyn M. Woollands, and Xiaoli Bai. "Picard Iteration, Chebyshev Polynomials and Chebyshev-Picard Methods: Application in Astrodynamics." Journal of the Astronautical Sciences 60, no. 3-4 (December 2013): 623–53. http://dx.doi.org/10.1007/s40295-015-0061-1.

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41

Eichhorn, Helge, Juan Luis Cano, Frazer McLean, and Reiner Anderl. "A comparative study of programming languages for next-generation astrodynamics systems." CEAS Space Journal 10, no. 1 (September 26, 2017): 115–23. http://dx.doi.org/10.1007/s12567-017-0170-8.

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42

Woollands, Robyn, and John L. Junkins. "Nonlinear Differential Equation Solvers via Adaptive Picard–Chebyshev Iteration: Applications in Astrodynamics." Journal of Guidance, Control, and Dynamics 42, no. 5 (May 2019): 1007–22. http://dx.doi.org/10.2514/1.g003318.

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43

REMO, JOHN L. "Assessing NEO Hazard Mitigation in Terms of Astrodynamics and Propulsion Systems Requirements." Annals of the New York Academy of Sciences 1017, no. 1 (May 2004): 350–69. http://dx.doi.org/10.1196/annals.1311.019.

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44

Massari, Mauro, Pierluigi Di Lizia, and Mirco Rasotto. "Nonlinear Uncertainty Propagation in Astrodynamics Using Differential Algebra and Graphics Processing Units." Journal of Aerospace Information Systems 14, no. 9 (January 2017): 493–503. http://dx.doi.org/10.2514/1.i010535.

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45

Chelnokov, Yu N. "Quaternion regularization in celestial mechanics and astrodynamics and trajectory motion control. I." Cosmic Research 51, no. 5 (September 2013): 350–61. http://dx.doi.org/10.1134/s001095251305002x.

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46

Chelnokov, Yu N. "Quaternion regularization and trajectory motion control in celestial mechanics and astrodynamics: II." Cosmic Research 52, no. 4 (July 2014): 304–17. http://dx.doi.org/10.1134/s0010952514030022.

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47

Amodio, Pierluigi, Luigi Brugnano, and Felice Iavernaro. "Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics." Advances in Computational Mathematics 41, no. 4 (November 14, 2014): 881–905. http://dx.doi.org/10.1007/s10444-014-9390-z.

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48

Qi, Rui, and Shi Jie Xu. "Applications of lagrangian coherent structures to expression of invariant manifolds in astrodynamics." Astrophysics and Space Science 351, no. 1 (February 20, 2014): 125–33. http://dx.doi.org/10.1007/s10509-014-1819-9.

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49

Rubinsztejn, Ari, Rohan Sood, and Frank E. Laipert. "Neural network optimal control in astrodynamics: Application to the missed thrust problem." Acta Astronautica 176 (November 2020): 192–203. http://dx.doi.org/10.1016/j.actaastro.2020.05.027.

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50

Chelnokov, Yu N. "Quaternion Regularization of Singularities of Astrodynamics Models Generated by Gravitational Forces (Review)." Mechanics of Solids 58, no. 8 (December 2023): 2855–83. http://dx.doi.org/10.3103/s0025654423080071.

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