Further advances on low-energy lunar impact dynamics

We extend the analysis, started in a previous work [1], concerning the formation of lunar impact craters due to low-energy trajectories. First, we adopt the Circular Restricted Three- Body Problem and consider different choices of initial conditions inside the stable invariant manifold associated with the central invariant one in the neighborhood of the L2 equilibrium point in the Earth–Moon system. Then we move to the Bicircular Restricted Four- Body Problem to study the effect of the Sun on the distribution of impacts on the Moon’s surface

[1]  Gerard Gómez,et al.  Dynamics and mission design near libration points, advanced methods for collinear points , 2000 .

[2]  Harold F. Levison,et al.  Dynamical Lifetimes of Objects Injected into Asteroid Belt Resonances , 1997 .

[3]  A motivating exploration on lunar craters and low-energy dynamics in the Earth–Moon system , 2010, 1004.1516.

[4]  Shane D. Ross,et al.  Resonance and Capture of Jupiter Comets , 2001 .

[5]  E. Alessi.  The role and usage of libration point orbits in the earth-moon system , 2010 .

[6]  W. Bottke,et al.  Origin and Evolution of Near-Earth Objects , 2002 .

[7]  F. Marzari,et al.  Evolution of the Earth obliquity after the tidal expansion of the Moon orbit , 1996 .

[8]  Boris A. Ivanov,et al.  Cratering History and Lunar Chronology , 2006 .

[9]  G. Gómez,et al.  The dynamics around the collinear equilibrium points of the RTBP , 2001 .

[10]  William K. Hartmann,et al.  Cratering Records in the Inner Solar System in Relation to the Lunar Reference System , 2001 .

[11]  How Asteroids Come to Earth , 1998, Science.

[12]  C. C. Conley,et al.  Low Energy Transit Orbits in the Restricted Three-Body Problems , 1968 .

[13]  Erwan Mazarico,et al.  Global Distribution of Large Lunar Craters: Implications for Resurfacing and Impactor Populations , 2010, Science.

[14]  I. Holopainen.  Riemannian Geometry , 1927, Nature.

[15]  G. Cremonese,et al.  A NEW CHRONOLOGY FOR THE MOON AND MERCURY , 2008, 0903.5137.

[16]  Marseille,et al.  The role of the unstable equilibrium points in the transfer of matter in galactic potentials , 2008, 0807.3832.

[17]  Rajat Mazumder,et al.  Tidal rhythmites and their implications , 2005 .

[18]  The origin of rR 1 ring structures in barred galaxies , 2006, astro-ph/0603124.

[19]  P. Goldreich,et al.  The history of the lunar orbit , 1966 .

[20]  Victor Szebehely,et al.  Theory of Orbits. , 1967 .

[21]  P. B. Richards,et al.  Some periodic solutions of a four-body problem , 1964 .

[22]  Donald Ervin Knuth,et al.  The Art of Computer Programming , 1968 .