Abstract
In recent years, space missions with the destination of small solar system bodies have become more and more important. For missions to such kind of bodies, one of the biggest challenges comes from the perturbation on the spacecraft’s motion by the highly irregular gravitational field. Therefore the dynamical environment in the vicinity of these bodies needs to be characterized.
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References
G. Benettin, L. Galgani, Lyapunov characteristic exponents and stochasticity. Intrinsic Stochasticity in Plasmas, 17–23 June 1979
B.V. Chirikov, A universal instability of many-dimensional oscillator systems. Phys. Rep. 52(5), 263–379 (1979)
A. Compère, A. Lemaître, N. Delsate, Detection by MEGNO of the gravitational resonances between a rotating ellipsoid and a point mass satellite. Celest. Mech. Dyn. Astron. 112(1), 75–98 (2012)
N. Delsate, Analytical and numerical study of the ground-track resonances of Dawn orbiting Vesta. Planet. Space Sci. 59(13), 1372–1383 (2011)
F. Delhaise, J. Henrard, The problem of critical inclination combined with a resonance in mean motion in artificial satellite theory. Celest. Mech. Dyn. Astron. 55(3), 261–280 (1993)
J. Feng, R. Noomen, J. Yuan, Orbital motion in the vicinity of the non-collinear equilibrium points of a contact binary asteroid. Planet. Space Sci. 117, 1–14 (2015)
J. Henrard, A semi-numerical perturbation method for separable Hamiltonian systems. Celest. Mech. Dyn. Astron. 49(1), 43–67 (1990)
W. Hu, D.J. Scheeres, Numerical determination of stability regions for orbital motion in uniformly rotating second degree and order gravity fields. Planet. Space Sci. 52(8), 685–692 (2004)
W.M. Kaula, Theory of Satellite Geodesy: Applications of Satellites to Geodesy (Courier Corporation, New York, 2000)
C. Magri, S.J. Ostro, D.J. Scheeres, M.C. Nolan, J.D. Giorgini, L.A.M. Benner, J.-L. Margot, Radar observations and a physical model of Asteroid 1580 Betulia. Icarus 186(1), 152–177 (2007)
C. Magri, E.S. Howell, M.C. Nolan, P.A. Taylor, Y.R. Fernández, M. Mueller, R.J. Vervack, L.A.M. Benner, J.D. Giorgini, S.J. Ostro et al., Radar and photometric observations and shape modeling of contact binary near-Earth Asteroid (8567) 1996 HW1. Icarus 214(1), 210–227 (2011)
A. Morbidelli, Modern Celestial Mechanics: Aspects of Solar System Dynamics (Taylor & Francis, London, 2002)
Ø. Olsen, Orbital resonance widths in a uniformly rotating second degree and order gravity field. Astron. Astrophys. 449(2), 821–826 (2006)
T. Prieto-Llanos, M.A. Gomez-Tierno, Station keeping at libration points of natural elongated bodies. J. Guid. Control Dyn. 17, 787–794 (1994)
D.J. Scheeres, Dynamics about uniformly rotating triaxial ellipsoids: applications to asteroids. Icarus 110(2), 225–238 (1994)
D.J. Scheeres, S.J. Ostro, R.S. Hudson, R.A. Werner, Orbits close to asteroid 4769 Castalia. Icarus 121(1), 67–87 (1996)
Ch. Skokos. The Lyapunov characteristic exponents and their computation. Dynamics of Small Solar System Bodies and Exoplanets (2010), pp. 63–135
S. Tzirti, H. Varvoglis, Motion of an Artificial Satellite around an Asymmetric, Rotating Celestial Body: Applications to the Solar System. Ph.D. Dissertation, Aristotle University of Thessaloniki, 2014
S. Valk, A. Lemaitre, F. Deleflie, Semi-analytical theory of mean orbital motion for geosynchronous space debris under gravitational influence. Adv. Space Res. 43, 1070–1082 (2009)
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Yuan, J., Cheng, Y., Feng, J., Sun, C. (2019). 1:1 Ground-Track Resonance in a \(4\text {th}\) Degree and Order Gravitational Field . In: Low Energy Flight: Orbital Dynamics and Mission Trajectory Design. Springer, Singapore. https://doi.org/10.1007/978-981-13-6130-2_5
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DOI: https://doi.org/10.1007/978-981-13-6130-2_5
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