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
------------------

.. [Szebehely1967] Szebehely, V. (1967). *Theory of Orbits: The Restricted Problem of Three Bodies*. Academic Press.

.. [Koon2011] Koon, W. S., Lo, M. W., Marsden, J. E., & Ross, S. D. (2011). *Dynamical Systems, the Three-Body Problem and Space Mission Design*. Springer.

.. [Gomez2001] Gomez, G., Jorba, A., Masdemont, J., & Simo, C. (2001). *Dynamics and Mission Design Near Libration Points*. World Scientific.

.. [Farquhar1968] Farquhar, R. W. (1968). *The Control and Use of Libration-Point Satellites*. NASA Technical Report TR R-346.

.. [Howell1984] Howell, K. C. (1984). *Three-Dimensional, Periodic, 'Halo' Orbits*. Celestial Mechanics, 32(1), 53-71.

.. [Richardson1980] Richardson, D. L. (1980). *Analytic Construction of Periodic Orbits About the Collinear Points*. Celestial Mechanics, 22(3), 241-253.

Mathematical Foundations
-------------------------

.. [Arnold1989] Arnold, V. I. (1989). *Mathematical Methods of Classical Mechanics*. Springer.

.. [Goldstein2002] Goldstein, H., Poole, C., & Safko, J. (2002). *Classical Mechanics*. Addison-Wesley.

.. [Marsden1999] Marsden, J. E. & Ratiu, T. S. (1999). *Introduction to Mechanics and Symmetry*. Springer.

.. [Meyer2009] Meyer, K. R., Hall, G. R., & Offin, D. (2009). *Introduction to Hamiltonian Dynamical Systems and the N-Body Problem*. Springer.

Numerical Methods
-----------------

.. [Hairer2006] Hairer, E., Norsett, S. P., & Wanner, G. (2006). *Solving Ordinary Differential Equations I: Nonstiff Problems*. Springer.

.. [Hairer2002] Hairer, E. & Wanner, G. (2002). *Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems*. Springer.

.. [Press2007] Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007). *Numerical Recipes: The Art of Scientific Computing*. Cambridge University Press.

.. [Golub2013] Golub, G. H. & Van Loan, C. F. (2013). *Matrix Computations*. Johns Hopkins University Press.

Bifurcation Theory
------------------

.. [Kuznetsov2004] Kuznetsov, Y. A. (2004). *Elements of Applied Bifurcation Theory*. Springer.

.. [Guckenheimer1983] Guckenheimer, J. & Holmes, P. (1983). *Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields*. Springer.

.. [Wiggins1990] Wiggins, S. (1990). *Introduction to Applied Nonlinear Dynamical Systems and Chaos*. Springer.

Hamiltonian Systems
-------------------

.. [Celletti2010] Celletti, A. (2010). *Stability and Chaos in Celestial Mechanics*. Springer.

.. [Jorba2001] 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
----------------

.. [Boyd2001] Boyd, J. P. (2001). *Chebyshev and Fourier Spectral Methods*. Dover Publications.

.. [Trefethen2000] Trefethen, L. N. (2000). *Spectral Methods in MATLAB*. SIAM.

.. [Canuto2006] Canuto, C., Hussaini, M. Y., Quarteroni, A., & Zang, T. A. (2006). *Spectral Methods: Fundamentals in Single Domains*. Springer.

Software and Tools
------------------

.. [NumPy] Harris, C. R., Millman, K. J., van der Walt, S. J., et al. (2020). *Array programming with NumPy*. Nature, 585(7825), 357-362.

.. [SciPy] 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.

.. [Matplotlib] Hunter, J. D. (2007). *Matplotlib: A 2D graphics environment*. Computing in Science & Engineering, 9(3), 90-95.

.. [SymPy] Meurer, A., Smith, C. P., Paprocki, M., et al. (2017). *SymPy: symbolic computing in Python*. PeerJ Computer Science, 3, e103.

.. [Numba] 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] NASA Goddard Space Flight Center. *Libration Points*. https://ssd-api.jpl.nasa.gov/doc/libration_points.html

.. [JPL] Jet Propulsion Laboratory. *Solar System Dynamics*. https://ssd-api.jpl.nasa.gov/

.. [IAU] International Astronomical Union. *IAU 2009 System of Astronomical Constants*. https://www.iau.org/static/resolutions/IAU2009_English.pdf

.. [SPICE] NASA Navigation and Ancillary Information Facility. *SPICE Toolkit*. https://naif.jpl.nasa.gov/naif/toolkit.html

Additional Reading
------------------

.. [Bate1971] Bate, R. R., Mueller, D. D., & White, J. E. (1971). *Fundamentals of Astrodynamics*. Dover Publications.

.. [Curtis2014] Curtis, H. D. (2014). *Orbital Mechanics for Engineering Students*. Butterworth-Heinemann.

.. [Vallado2013] Vallado, D. A. (2013). *Fundamentals of Astrodynamics and Applications*. Microcosm Press.

.. [Schaub2012] Schaub, H. & Junkins, J. L. (2012). *Analytical Mechanics of Space Systems*. AIAA Education Series.

.. [Battin1999] Battin, R. H. (1999). *An Introduction to the Mathematics and Methods of Astrodynamics*. AIAA Education Series.