Astronet- II University of Roma Tor Vergata (UTV)

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1 Astronet- II University of Roma Tor Vergata (UTV) Rocio Isabel Paez ESR- 9 Marta Ceccaroni ESR- 10 Ugo Locatelli Alessandra Celle;

2 PROJECT TASKS Rocio Isabel Paez ESR- 9 (started in November 2012) WP 1.3 Coupled A/tude- Orbit Dynamics (12+24 months) WP 1.1 Invariant Manifold Dynamics (24 months) Marta Ceccaroni ESR- 10 (started in November 2012) WP 2.3 DissipaHve effects on a/tude dynamics (12+24 months) WP 1.4 Asteroid missions (24 months)

3 SCIENTIFIC ACHIEVEMENTS ESR- 9 Rocio Isabel Paez worked on WP 1.1: Sitnikov problem showing invariant KAM tori for largely oscillahng mohons using normal forms, MEGNO and frequency analisys Same approach for study of manoeuvers to let a spacecrax move from [to] a quasiperiodic tadpole orbit to [from] the stable/unstable manifold of the Lagrangian point L3 in PCRTBP Aim: design of low thrust missions e.g. close to the Earth- - Moon system for either observahonal purposes or end- of- life strategies R.I. Paez: Technical report for the AstroNet- II WP 1.1 Exploring the marginal stability region of the tadpole orbits for the planar circular restricted three- body problem: an approach based on normal forms, supervised by U. Locatelli (2013)

4 SCIENTIFIC ACHIEVEMENTS ESR- 10 Marta Ceccaroni worked on WP 2.3: DissipaHve effects on the rotahon of a spacecrax Deliverable D1: Technical report (about 60 pages) by M. Ceccaroni on WP 2.3 Htled DissipaHve effects on the a/tude dynamics of a spacecrax, supervised by A. Celle/ (December 2013) Content: Ø IntroducHon to a/tude dynamics; Ø spin- orbit problem and the pitch- yaw- roll model with dissipahons; Ø internal dissipahons: flexibility, sloshing, mass expulsion, crew's mohon; Ø environmental dissipahons: solar radiahon pressure, magnehc torque, air drag. Equivalent mathemahcal models are described, which set the basis for the further development of the work (precisely, tasks T3- T4- T5 of WP 2.3).

5 PEER REVIEWED PUBLICATIONS AND PREPRINTS R. Calleja, A. Celle/, R. de la Llave: Local behavior near quasi- periodic soluhons of conformally symplechc systems, J. Dynam. Differen-al Equa-ons, 25, n. 3, (2013) R. Calleja, A. Celle/, R. de la Llave: A KAM theory for conformally symplechc systems: efficient algorithms and their validahon, J. Differen-al Equa-ons, 255, n. 5, (2013) R. Calleja, A. Celle/, C. Falcolini, R. de la Llave: A parhal jushficahon of Greene's criterion for conformally symplechc systems, Submined Preprint (2013) M. Ceccaroni, F. Biscani, J. D. Biggs: AnalyHcal method for perturbed frozen orbit around an Asteroid in highly inhomogeneous gravitahonal fields: a first approximahon, J. Solar System Research, in print (2013) M. Ceccaroni, J. D. Biggs: AnalyHc perturbahve theories in highly inhomogeneous gravitahonal fields, Icarus, 224, Issue 1, (2013) A. Celle/, C. Lhotka, Transient Hmes, resonances and drixs of anractors in dissipahve rotahonal dynamics, Submined Preprint (2013) A. Giorgilli, U. Locatelli, M. Sansonera: Improved convergence eshmates for the Schroeder- Siegel problem, Submined Preprint (2013)

6 % PEER REVIEWED PUBLICATIONS AND PREPRINTS A. Giorgilli, U. Locatelli, M. Sansonera: On the convergence of an algorithm construchng the normal form for lower dimensional elliphc tori in planetary systems, Submined Preprint (2013) L. Maurri, F. Baccio/, L. Podio, J. Eisloeffel, T.P. Ray, R. Mundt, U. Locatelli, D. Coffey: Physical properhes of the jet from DG Tauri at sub- arcsecond scales with HST/STIS, Submined Preprint (2012) M. Sansonera, U. Locatelli, A. Giorgilli: On the stability of the secular evoluhon of the planar Sun- Jupiter- Saturn- Uranus system, Math. & Comp. in Simula-on, 88, 1-14 (2013) L. Stefanelli, U. Locatelli: Kolmogorov's normal form for equahons of mohon with dissipahve effects'', DCDS- B, 17, (2012) S. Bucciarelli, M. Ceccaroni, A. Celle/: Center manifold of a Three Body Problem including oblateness and Solar RadiaHon Pressure, Preprint 2013

7 ORGANIZATION OF SCHOOLS, CONFERENCES AND WORKSHOPS First Astronet- II training school Astrodynamics of Natural and ArHficial Satellites: from Regular to ChaoHc MoHons, Univ. Roma Tor Vergata (Italy), January 2013, organized by M. Ceccaroni, A. Celle/, U. Locatelli, R.I. Paez Ø The school was axended by 64 persons, 20 from the network and the rest young people from Europe and outside. CELMEC VI - 6th InternaHonal MeeHng in CelesHal Mechanics, San MarHno al Cimino (Viterbo), 1-7 September 2013, organized by A. Celle/, A. Giorgilli, G.F. Gronchi, E. Perozzi; the meehng was anended also by some AstroNet- II fellows (E. Iorfida, Z. Olikara, F. Paita) Workshop ``MathemaHcal models and methods for Planet Earth", INdAM, Roma, May 2013, organized by A. Celle/, U. Locatelli, T. Ruggeri, E. Strickland Workshop ``Planetary MoHons, Satellite Dynamics, and Spaceship Orbits", Montreal (Canada), July 2013, organized by A. Celle/, W. Craig, F. Diacu, C. Rousseau

8 Paracipaaon to schools, meeangs, invited talks, seminars, internships, public outreach of ESR- 9 and ESR- 10

9 PUBLIC OUTREACH (selecaon) M. Ceccaroni: Spheres of influence, interplanetary transfers and gravitahonal flybies, public lecture, UTV, December 2012 R.I. Paez: ``Dynamical Chaos at service of space missions design'', Open public talk, September 2013, Universidad Nacional de La Plata and Colegio San Pio X, La Plata, ArgenHna A. Celle/: Radio interview Htled "IL PIANETA DI FRONTE" with Enore Perozzi about the book PianeH per Caso, 24 May 2012 A. Celle/: Debate (in Italian) on the meaning of Time between a scienhst and a novel writer, 4 May 2013 A. Celle/: A movie Htled The numbers of the universe: from 0 to infinity, and back! (in Italian), in collaborahon with the Italian Space Agency July 2013 U. Locatelli: A blog in the MPE2013 web site on the workshop MathemaHcal Models and Methods for Planet Earth, 1 June 2013

10 FUTURE PLANNING Rocio Paez: PhD in MathemaHcs at UTV in 2015 Marta Ceccaroni: Postgraduate advanced course in Space Science and Technology at UTV in 2015 Project tasks: Rocio Paez: WP 1.3 Coupled A/tude- Orbit Dynamics Marta Ceccaroni: WP 1.4 Asteroid missions PublicaHons: 4 works in progress InvitaHon of Astronet- II ESRs to deliver talks, recorded via webcam and posted on internet (Astronet or YouTube) A working group to produce a video of about 15 minutes on Astronet- II for public outreach Public lectures for schools and university.

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