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FLY-BY ME TO THE MOON LESSONS LEARNED ON CLOSE ENCOUNTERS Ettore Perozzi Deimos Space [email protected] 1 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space Heidelberg 1984 2 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space GRAVITY ASSIST Guido Von Pirquet : Voyages to the Planets, (Die Rakete, 1928) Michael Minovitch : A Method for Determining Interplanetary Free-Fall Reconnaissance Trajectories (JPL TR 312-130, 1961) 3 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space CASSINI MISSION ANALYSIS Perozzi, E. (1986) Cassini Mission: Dynamics of the Titan close encounter. In proc. The Solid Bodies of the Outer Solar System, A. Coradini and M. Fulchignoni eds, ESA SP-242 Greenberg, R., Carusi, A., Valsecchi, G.B. , (1988) Outcomes of Planetary Close Encounters : A Systematic Comparison of Methodologies. Icarus 75 4 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space B-PLANE TARGETING Perozzi, E. (1986) Cassini Mission: Dynamics of the Titan close encounter. In proc. The Solid Bodies of the Outer Solar System, A. Coradini and M. Fulchignoni eds, ESA SP-242 Greenberg, R., Carusi, A., Valsecchi, G.B. , (1988) Outcomes of Planetary Close Encounters : A Systematic Comparison of Methodologies. Icarus 75 5 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space DYNAMICS OF COMETS Carusi, A., Valsecchi, G.B., Kresak, L. (1982) Orbital patterns of interplanetary objects at close encounters with Jupiter. Bulletin of the Astronomical Institutes of Czechoslovakia 33,141. Broucke, R.A.: On the History of the Slingshot Effect and Cometary Orbits. AAS 01-435 .(2001) 6 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space THE TISSERAND INVARIANT 1 T 2 a (1 e 2 ) cos i a U 3T The Tisserand Invariant is a reduced form of the Jacobi Integral related to the unperturbed relative velocity U at encounter 7 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space LUNAR BALLISTIC CAPTURE Belbruno, E.A. and Miller, J.K. (1990) A ballistic lunar capture trajectory for the Japanese spacecraft Hiten. JPL report IOM 312/90.4-1317. Howell, K.C., Marchand, B.G., Lo, M.W. (2001) Temporary satellite capture of short-period Jupiter family comets from the perspective of dynamical systems. Journal of the Astronautical Sciences 49(4). LUNAR ORBIT LUNAR ORBIT 8 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space SPACE MANIFOLD DYNAMICS LL 1 L1 FUZZY BOUNDARY STABLE MANIFOLD Ross, S.D., Scheeres, D.J. (2007) Multiple Gravity Assists, Capture, and Escape in the Restricted Three-Body Problem. SIAM Journal on Applied Dynamical Systems 6(3). Belló, M., Gómez, G., Masdemont, G.G. (2009) Invariant manifolds, Lagrangian trajectories and space mission design. In Space Manifold Dynamics. E. Perozzi and S. Ferraz-Mello eds, Springer New York. 9 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space SPACE MANIFOLD DYNAMICS E. Perozzi and S. Ferraz-Mello (eds): Space Manifold Dynamics. Springer USA, 2010. Campagnola, S., Skerritt, P., Russell, R.P. (2012) Flybys in the planar, circular, restricted, three-body problem. Celestial Mechanics & Dynamical Astronomy. 10 FLY-BY ME TO THE MOON: LESSONS LEARNED ON CLOSE ENCOUNTERS E. Perozzi, Deimos Space one cannot predict how knowledge will be applied only that it often is (Charles Conley, 1968) 11