References
This page contains references to the literature and resources used in the development of HITEN.
Note
This page contains a comprehensive bibliography. Not all references are cited in the documentation text, but they represent the foundational literature for the methods implemented in HITEN.
Primary References
Szebehely, V. (1967). Theory of Orbits: The Restricted Problem of Three Bodies. Academic Press.
Koon, W. S., Lo, M. W., Marsden, J. E., & Ross, S. D. (2011). Dynamical Systems, the Three-Body Problem and Space Mission Design. Springer.
Gomez, G., Jorba, A., Masdemont, J., & Simo, C. (2001). Dynamics and Mission Design Near Libration Points. World Scientific.
Farquhar, R. W. (1968). The Control and Use of Libration-Point Satellites. NASA Technical Report TR R-346.
Howell, K. C. (1984). Three-Dimensional, Periodic, ‘Halo’ Orbits. Celestial Mechanics, 32(1), 53-71.
Richardson, D. L. (1980). Analytic Construction of Periodic Orbits About the Collinear Points. Celestial Mechanics, 22(3), 241-253.
Mathematical Foundations
Arnold, V. I. (1989). Mathematical Methods of Classical Mechanics. Springer.
Goldstein, H., Poole, C., & Safko, J. (2002). Classical Mechanics. Addison-Wesley.
Marsden, J. E. & Ratiu, T. S. (1999). Introduction to Mechanics and Symmetry. Springer.
Meyer, K. R., Hall, G. R., & Offin, D. (2009). Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Springer.
Numerical Methods
Hairer, E., Norsett, S. P., & Wanner, G. (2006). Solving Ordinary Differential Equations I: Nonstiff Problems. Springer.
Hairer, E. & Wanner, G. (2002). Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007). Numerical Recipes: The Art of Scientific Computing. Cambridge University Press.
Golub, G. H. & Van Loan, C. F. (2013). Matrix Computations. Johns Hopkins University Press.
Bifurcation Theory
Kuznetsov, Y. A. (2004). Elements of Applied Bifurcation Theory. Springer.
Guckenheimer, J. & Holmes, P. (1983). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer.
Wiggins, S. (1990). Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer.
Hamiltonian Systems
Celletti, A. (2010). Stability and Chaos in Celestial Mechanics. Springer.
Jorba, A. (2001). A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems. Journal of Computational Physics, 169(2), 375-390.
Fourier Analysis
Boyd, J. P. (2001). Chebyshev and Fourier Spectral Methods. Dover Publications.
Trefethen, L. N. (2000). Spectral Methods in MATLAB. SIAM.
Canuto, C., Hussaini, M. Y., Quarteroni, A., & Zang, T. A. (2006). Spectral Methods: Fundamentals in Single Domains. Springer.
Software and Tools
Harris, C. R., Millman, K. J., van der Walt, S. J., et al. (2020). Array programming with NumPy. Nature, 585(7825), 357-362.
Virtanen, P., Gommers, R., Oliphant, T. E., et al. (2020). SciPy 1.0: fundamental algorithms for scientific computing in Python. Nature Methods, 17(3), 261-272.
Hunter, J. D. (2007). Matplotlib: A 2D graphics environment. Computing in Science & Engineering, 9(3), 90-95.
Meurer, A., Smith, C. P., Paprocki, M., et al. (2017). SymPy: symbolic computing in Python. PeerJ Computer Science, 3, e103.
Lam, S. K., Pitrou, A., & Seibert, S. (2015). Numba: A LLVM-based Python JIT compiler. Proceedings of the Second Workshop on the LLVM Compiler Infrastructure in HPC.
Online Resources
NASA Goddard Space Flight Center. Libration Points. https://ssd-api.jpl.nasa.gov/doc/libration_points.html
Jet Propulsion Laboratory. Solar System Dynamics. https://ssd-api.jpl.nasa.gov/
International Astronomical Union. IAU 2009 System of Astronomical Constants. https://www.iau.org/static/resolutions/IAU2009_English.pdf
NASA Navigation and Ancillary Information Facility. SPICE Toolkit. https://naif.jpl.nasa.gov/naif/toolkit.html
Additional Reading
Bate, R. R., Mueller, D. D., & White, J. E. (1971). Fundamentals of Astrodynamics. Dover Publications.
Curtis, H. D. (2014). Orbital Mechanics for Engineering Students. Butterworth-Heinemann.
Vallado, D. A. (2013). Fundamentals of Astrodynamics and Applications. Microcosm Press.
Schaub, H. & Junkins, J. L. (2012). Analytical Mechanics of Space Systems. AIAA Education Series.
Battin, R. H. (1999). An Introduction to the Mathematics and Methods of Astrodynamics. AIAA Education Series.