View on GitHub

wiki

References

[Araujo et al., 2008] R. A. N. Araujo, O. C. Winter, A. F. B. A. Prado, & R. Vieira Martins Sphere of influence and gravitational capture radius: a dynamical approach, Monthly Notices of the Royal Astronomical Society, 391(2):675-684 2008.

[Battin, 1999] R. H. Battin An introduction to the Mathematics and Methods of Astrodynamics, Revised Edition, AIAA Education Series, 1999.

[Beletski, 1964] V. V. Beletski Space-flight trajectories with a constant-reaction accelerator vector, Translated from Kosmicheskie Issledovaniya, 2(3):408–413, 1964.

[Beletski, 2001] V. V. Beletski Essays on the Motion of Celestial Bodies, Springer, 2001.

[Carusi & Valsecchi, 1990] A. Carusi & G.B. Valsecchi Planetary close encounters: geometry of approach and post-encounter orbital parameters, Celestial Mechanics and Dynamical Astronomy, 49(2):111-131, 1990.

[Cavallari, Gronchi, Baù, 2020] I. Cavallari, G. F. Gronchi, G. Baù On the Sun-shadow dynamics, Preprint, 2020.

[Cheboratev, 1964] G. A. Chebotarev Gravitational Spheres of the Major Planets, Moon and Sun, Soviet Astronomy, 7:618, 1964.

[Curtis, 2010] H. Curtis Orbital mechanics for engineering students, Elsevier, 2010.

[Farnocchia et al. 2019] D. Farnocchia, S. Eggl, P. W. Chodas, J. D. Giorgini & S.R. Chesley Planetary encounter analysis on the B-plane: a comprehensive formulation, Celestial Mechanics and Dynamical Astronomy, 131(8):36, 2019.

[Greenberg et al., 1988] R. Greenberg, A. Carusi & G.B. Valsecchi Outcomes of planetary close encounters: A systematic comparison of methodologies, Icarus, 75(1):1-29, 1988.

[Hobson, 1993] D. Hobson An Efficient Method for Computing Invariant Manifolds of Planar Maps, Journal of Computational Physics, 104:14:22, 1993.

[Milani et al., 1999] A. Milani, S. R. Chesley & G. B. Valsecchi Close approaches of asteroid 1999 AN$_{10}$: resonant and non-resonant returns, Astronomy & Astrophysics, Volume 346:L65-L68, 1999.

[Milani et al., 2005] A. Milani, S. R. Chesley, M. E. Sansaturio, G. Tommei & G. B. Valsecchi Nonlinear impact monitoring: line of variation searches for impactors, Icarus, 173(2):362-384, 2005.

[Lega, Guzzo, 2016] E. Lega, M. Guzzo Three-dimensional representations of the tube manifolds of the planar restricted three-body problem, Physica D: Nonlinear Phenomena, 325:41-52, 2016.

[Parkinson et al., 1960] R. W. Parkinson, H. M. Jones & I. I. Shapiro Effects of Solar Radiation Pressure on Earth Satellite Orbits, Science, 131(3404):920–921, 1960.

[Redmond, 1964] P. J. Redmond Generalization of the Runge-Lenz Vector in the Presence of an Electric Field, Physical Review, 133(5B):1352–1353, 1964.

[Souami et al., 2020] D. Souami, J. Cresson, C. Biernacki & F. Pierret On the local and global properties of gravitational spheres of influence, Monthly Notices of the Royal Astronomical Society, 496(4):4287-4297, 2020.

[Szebehely, 1967] V. Szebehely Theory of orbits. The restricted problem of three bodies, Academic Press, 1967.

[Tommei, 2006] G. Tommei Canonical Elements for Öpik Theory, Celestial Mechanics and Dynamical Astronomy, 94(2):173-195, 2006.

[Valsecchi et al., 2003] G. B. Valsecchi, A. Milani, G.F. Gronchi & R. S. Chesley Resonant returns to close approaches: Analytical theory, Astronomy & Astrophysics, 408:1179-1196, 2003.

[Valsecchi, 2006] G. B. Valsecchi Geometric Conditions for Quasi-Collisions in Öpik’s Theory, Lecture Notes in Physics, 2006.

[Valsecchi et al., 2015] G. B. Valsecchi, E. M. Alessi & A. Rossi An analytical solution for the swing-by problem, Celestial Mechanics and Dynamical Astronomy, 123(2):151-166, 2015.

[Valsecchi et al., 2018] G. B. Valsecchi, E. M. Alessi & A. Rossi Cartography of the b-plane of a close encounter I: semimajor axes of post-encounter orbits, Celestial Mechanics and Dynamical Astronomy, 130(2):8, 2018.

[Valsecchi et al., 2019] G. B. Valsecchi, A. Del Vigna & M. Ceccaroni The evolution of the Line of Variations at close encounters: an analytic approach, Celestial Mechanics and Dynamical Astronomy, 131(10):47, 2019.

[Wetherill & Cox, 1984] G. Wetherill & L. P. Cox The range of validity of the two-body approximation in models of terrestrial planet accumulation - I. Gravitational perturbations, Icarus, 60(1):40-55, 1984.