THE ASTRODYNAMICS NETWORK ASTRONET-II MID-TERM REPORT

Transcription

1 The Astrodynamics network "AstroNet-II" M.T.M. 1 THE ASTRODYNAMICS NETWORK ASTRONET-II MID-TERM REPORT Guildford, Surrey, United Kingdom December 2nd 4th, 2013

2 The Astrodynamics network "AstroNet-II" M.T.M. 2 Contents I. AstroNet-II Main goals Website II. III. IV. The people Beneficiaries and associated partners Scientist in charge Recruitment: current status Scientific research objectives Research objectives of the network Work plan and work packages Publications and conference presentations Training activities Training schools Courses and seminars Conferences and meetings Complementary skills V. Networking Exchanges Internships Other networking activities VI. VII. VIII. Management Financial aspects Outreach activities Prizes and Awards

3 The Astrodynamics network "AstroNet-II" M.T.M. 3 ASTRONET-II TRAINING THROUGH RESEARCH

4 The Astrodynamics network "AstroNet-II" M.T.M. 4 AstroNet-II goals 1. To introduce the recruited researchers of the network to a range of astrodynamical concepts and problems as well as to the relevant new mathematical theories and techniques 2. To develop their expertise in the above mentioned topics 3. To train the ERs and ESRs to conduct research, collaborate, and communicate their results in both papers, reports and oral presentations 4. To offer to the researchers opportunities for doing their research in private companies, international organisations and academia 5. To provide the ERs and ESRs with the complementary communications and project management skills that are needed, in addition to the scientific skills, for a successful career

5 The website The Astrodynamics network "AstroNet-II" M.T.M. 5

6 The Astrodynamics network "AstroNet-II" M.T.M. 6 THE PEOPLE

7 The Astrodynamics network "AstroNet-II" M.T.M. 7 Beneficiaries 1. Institut d'estudis Espacials de Catalunya (IEEC) 2. Clyde Space Limited (Clyde Space) 3. Deimos Space (Deimos) 4. GMV Aerospace and Defence SA (GMV) ) 5. Middle East Technical University (METU) 6. Politecnico di Milano (PoliMi). Since 1/V/ Space Academy Foundation (SAF). Up to 30/IV/ University of Strathclyde (Strathclyde) 9. University of Surrey (Surrey) 10. Turun Yliopisto (Turun) 11. Universita degli Studi di Roma Tor Vergata (UTV) 12. Uniwersytet Zielonogorski (Zielona Gora)

8 The Astrodynamics network "AstroNet-II" M.T.M. 8 Associated Partners 1. Astrium Limited Satellites (Astrium) 2. European Space Agency / European Space Operations Center (ESA/ESOC) 3. Thales-Alenia-Space (TAS)

9 Recruited ER & ESR The Astrodynamics network "AstroNet-II" M.T.M. 9

10 The Astrodynamics network "AstroNet-II" M.T.M. 10 Implemented ER and ESR at Implemented ER 22,82 % Implemented ESR 38,91 % Implemented ER+ESR 34,62 % Ø Applicants: 46 E(S)R, 7 women (16%), 39 men (84%) Ø Recruited: 14 E(S)R, 3 women (21%), 11 men (79%) Ø It has not been possible to recruit, at least, 40% women researchers

11 The Astrodynamics network "AstroNet-II" M.T.M. 11 Scientist in Charge 1. Clyde Space Limited (Clyde Space) S. Greenland 2. Deimos Space (Deimos) H. Costa, M. Sánchez 3. GMV Aerospace and Defence SA (GMV) M. Graziano, J. Gil 4. Institut d'estudis Espacials de Catalunya (IEEC) G. Gómez, J.J.Masdemont 5. Middle East Technical University (METU) O. Tekinalp 6. Politecnico di Milano (PoliMi) F. Bernelli 7. University of Strathclyde (Strathclyde) J. Biggs 8. University of Surrey (Surrey) P. Palmer, M. Roberts 9. Turun Yliopisto (Turun) S. Mikkola 10. Universita degli Studi di Roma Tor Vergata(UTV) A. Celletti, U. Locatelli 11. Uniwersytet Zielonogorski (Zielona Gora) K. Goździewski, A. Maciejewski 12. Astrium Limited Satellites (Astrium) S. Kemble 13. European Space Agency / ESOC (ESA/ESOC). J. Schoenmaekers 14. Thales-Alenia-Space (TAS) J. Fontdecaba

12 The Astrodynamics network "AstroNet-II" M.T.M. 12 Supervisory board Steve Greenland (Clyde Space) Mariano Sánchez (Deimos) à Hugo A. Costa (Deimos) Jesus Gil (GMV) Gerard Gómez (IEEC) Josep J. Masdemont (IEEC) Ozan Tekinalp (METU) Ettore Perozzi (SAF) à Franco Bernelli (PoliMi) James Biggs (Strathclyde) Phil Palmer (Surrey), Mark Roberts (Surrey) Seppo Mikkola (Turku) Alessandra Celletti (UTV) Ugo Locatelli (UTV) Andrzej J. Maciejewski (Zielona Gora) Stephen Kemble (Astrium) Johannes Schoenmaekers (ESOC) Jordi Fontdecaba (TAS) Zubin P. Olikara (IEEC, ESR representative) Pedro J. Llanos de la Concha (GMV, ER representative) à

13 The Astrodynamics network "AstroNet-II" M.T.M. 13 SCIENTIFIC RESEARCH OBJECTIVES

14 The Astrodynamics network "AstroNet-II" M.T.M. 14 Scientific research objectives I. Trajectory Design and Control I.1 Invariant Manifold Dynamics II. I.2 Low Thrust Non-Keplerian Orbits I.3 Coupled Attitude-Orbit Dynamics I.4 Asteroid and Binary Asteroids Missions. Attitude Control and Structural Flexibility of Spacecraft II.1 Optimal and Feasible Attitude Motions for Micro-Spacecraft II.2 Modelling and Attitude Control of 'Flexible' Spacecraft II.3 Dissipative Effects on Attitude Dynamics III. Formation Flying III.1 Transfers, Deployment and Proximity Manoeuvring for Multiple Spacecraft III.2 Formation Flying Using Low Thrust Propulsion III.3 Space Inspection and Autonomy

15 Work plan The Astrodynamics network "AstroNet-II" M.T.M. 15

16 The Astrodynamics network "AstroNet-II" M.T.M. 16 WORK PLAN ACHIEVED RESULTS

17 The Astrodynamics network "AstroNet-II" M.T.M. 17 I. Trajectory Design and Control - 1 WP1.1: Invariant Manifold Dynamics 1. The application of differential algebra techniques to obtain high precision polynomial approximations of the invariant manifolds of periodic orbits in the restricted three-body problem has been studied. Work is underway to apply this result to the design of transfer orbits. 2. End-of-life trajectories for spacecraft in orbit about the Sun-Earth L1 and L2 libration points have been investigated. In particular, the role of the unstable manifold and forbidden regions in determining disposal. A simple manoeuvre scheme to prevent returns to the Earth vicinity has also been analysed, as well as a discussion on potential collision orbit schemes. 3. Sitnikov s problem has been revisited. The adopted approach for the study of the problem has been transferred to the study of the manoeuvres to let a spacecraft move from [to] a quasi-periodic tadpole orbit to/from the stable/unstable manifold related to the Lagrangian point L3, in the framework of the planar circular RTBP. 4. In the context of the planar RTBP, the resonant structure (as a function of the physical parameters) in a very extensive way has been numerically studied.

18 The Astrodynamics network "AstroNet-II" M.T.M. 18 I. Trajectory Design and Control - 2 WP1.2: Low Thrust Non-Keplerian Orbits 1. Study of the dynamics of the Mars-Phobos-Spacecraft system with Low-Thrust propulsion (SEP). The following topics, related to this problem, have been studied: The dynamics as a classical 3-body model of the Mars-Phobos-Spacecraft system The Artificial Equilibrium Points with Low-Thrust propulsion (SEP) around Phobos The dynamics of the 3-body model including the inhomogeneous gravity field of Phobos (and Mars) The space radiation environment in the vicinity of Phobos orbit around Mars The shadowing regions around Phobos The Vertical-Displaced Periodic Orbits with Low-Thrust propulsion around Phobos in terms of fuel consumption. High-order periodic (planar and vertical Lyapunov) and quasi-periodic (Lissajous) orbits with Lindstedt-Poincaré technique and numerical continuation. Invariant Manifolds of all these orbits with applications for natural landing and take-off trajectories for Phobos. The Quasi-Satellite Orbits around Phobos with application to the upcoming ESA Phootprint sample-and-return mission to Phobos.

19 The Astrodynamics network "AstroNet-II" M.T.M. 19 I. Trajectory Design and Control A novel approach to Lawden s primer vector theory for the optimisation of interplanetary trajectories has been developed which eliminates some of the problems of the current algorithm, simplifying the complexities and saving computational time. Furthermore, the optimality of a trajectory has been analysed, in the case of a fixed transfer arc varying the departure and arrival orbits. 3. Long Term Orbit Propagation using Transfer Maps of perturbed Keplerian orbits. Transfer maps, describing the change in the orbital parameters after one turn around a celestial body, have been successfully computed for various perturbations including solar radiation pressure, third body perturbations (e.g. luni-solar for orbits around Earth), and atmospheric drag. Work on this research topic is on going to compare these techniques to commonly used averaging techniques.

20 The Astrodynamics network "AstroNet-II" M.T.M. 20 I. Trajectory Design and Control - 4 WP1.4: Asteroid Missions 1. The wealth of models available for the representation of irregular gravitational fields has been reviewed and a three point-mass model has been chosen. The research has been structured in two main questions: How to reduce more complex polyhedron models of asteroids to a 3-pointmass model featuring the same position of the equilibrium points of the detailed model and their behaviour. How to control a spacecraft towards one of these equilibrium points thanks to on-board knowledge of relative distance and velocity with respect to the asteroid and the simple model of the small body. 2. Further studies have been completed on the 3-point-mass model and on the characteristics of control laws to steer the spacecraft towards one of the equilibrium points. 3. Research on guidance and control techniques for descent and landing on the surface of asteroid have been started, as well as in the design (optimize) of transfers and descent trajectories for different types of landing strategies (full landing, touch-and go) for missions to binary asteroids or to single asteroids.

21 The Astrodynamics network "AstroNet-II" M.T.M. 21 I. Trajectory Design and Control - 5 WP1.4: Asteroid Missions 3. Propagation of uncertainties in highly non-linear dynamical systems. Some methods have been developed to very quickly perform DA based Monte Carlo simulations that outperform classical Monte Carlo computations by orders of magnitude. 4. Current work on the convergence of the computed polynomial flow expansion allows for automatic domain decomposition during the integration process, resulting in optimally sized smaller polynomial expansions of the flow with a pre-specified accuracy. With this method it is possible to transport large areas of phase space in highly nonlinear systems very efficiently and accurately. 5. Work is on-going to apply this splitting integrator to the study of possible resonant returns of the asteroid Apophis after its first close encounter with Earth in 2029.

22 The Astrodynamics network "AstroNet-II" M.T.M. 22 I. Trajectory Design and Control - 6 WP1.5: Binary Asteroids 1. A study of the relative equilibrium in two extended bodies (e. g. double asteroids) has been done. An unexpected connection of this problem with the central configurations problem has been found. 2. An investigation of unrestricted problems of rigid (extended) bodies has been done. A paper on non-integrability of the dumbbell and point mass problem has been published in which a first proof of non-integrability of an unrestricted problem is given. More practical results concerning effective reductions of unrestricted problem have also been obtained.

23 The Astrodynamics network "AstroNet-II" M.T.M. 23 II. Attitude Control and Structural Flexibility of Spacecraft - 1 WP2.1: Optimal and feasible Attitude Motions for Micro-Spacecraft 1. An analytical solution (computationally fast) for the attitude control of a nanospacecraft has been developed. This solution is used as a good initial guess for the pseudo-spectral optimal control solver (PSOPT). 2. A shape-based method, using time-dependent polynomials in combination with PSOPT, has been developed for the optimal attitude motion planning of a nanospacecraft. The algorithm was improved such that PSOPT was no longer needed to obtain optimal trajectories, thus making on-board implementation much easier. 3. An experiment based on this research has been proposed and accepted for OPSSAT, a nano-satellite designed by the European Space Agency. It is intended to be an experimental platform for researchers and industry working in spacecraft autonomy and flight software. This algorithm will be implemented on-board in A new nonlinear control law using rotation matrices as attitude representation has been investigated. This attitude representation is global and singularity-free, and uses the shortest path to reach a new orientation unlike the widely used quaternion feedback control law.

24 The Astrodynamics network "AstroNet-II" M.T.M. 24 II. Attitude Control and Structural Flexibility of Spacecraft - 1 WP2.1: Optimal and feasible Attitude Motions for Micro- Spacecraft (cont.) 5. A investigation for a new concept of Active Debris Removal where a chaser spacecraft captures a passive satellite and deorbits it has been started. In the context of attitude control, the problem of bringing a dead satellite, which is tumbling to rest has been addressed e.g. ESA s Envisat. A concept and its feasibility was investigated whereby a small pod equipped with magnetorquers, which engages with the target using harpoons can be used for de-tumbling. 6. C.-L. Prioroc (ESR at Turku), has finished his theses on 'Small satellite attitude determination.

25 The Astrodynamics network "AstroNet-II" M.T.M. 25 II. Attitude Control and Structural Flexibility of Spacecraft - 2 WP2.3: Dissipative Effects on Attitude Dynamics 1. KAM theory in the dissipative case (precisely, in the conformally symplectic case), has been applied to a dissipative three-body problem. As a paradigmatic example the Stokes drag has been selected, for which stationary solutions are known in the literature. The problem has been studied in detail and the parametric representation of the solution has been computed. 2. A long report on Dissipative Effects in Rotational Dynamics has been produced. The report starts by providing an introduction to attitude dynamics and by describing two simple dissipative models in rotational dynamics the spin-orbit problem and the pitch-yaw-roll model with dissipations; then, internal and environmental dissipations are described in details: the former include flexibility of the spacecraft, sloshing, mass expulsion as well as crew's motion; the latter describe the solar radiation pressure, magnetic torque and the effect of air drag. Equivalent mathematical models are described.

26 The Astrodynamics network "AstroNet-II" M.T.M. 26 III. Formation Flying - 1 WP3.1: Transfer, Deployment and Proximity Manoeuvres for Multiple Spacecraft 1. An extension of the Cucker-Smale flocking model applied to a formation moving in a central force field has been developed. The developed extension done for the CS control law is in the context of a multispacecraft system moving around a central body. Some new analytical results have been obtained, and several numerical explorations have been done to evaluate the performances of the control law, with particular attention to its interaction with a central gravitational field. 2. A literature survey on 'Coulomb tether formations' has been done and a study on the control of Coulomb formations has been started. 3. Using continuation methods, the family of L1 Halo orbits of the Sun-Earth system has been computed in order to use these orbits for formation flying. After this the idea is to determine the unstable invariant manifolds of these orbits and try to find a low propulsion path there from the Earth.

27 The Astrodynamics network "AstroNet-II" M.T.M. 27 III. Formation Flying - 2 WP3.2: Formation Flying Using Low Thrust Propulsion 1. A study of numerical methods related to satellite dynamics has been done, as well as the study of formation flight using very weak constant acceleration ion thrusters in a simple way, without need of complicated decision making.

28 The Astrodynamics network "AstroNet-II" M.T.M. 28 PUBLICATIONS & CONFERENCE PRESENTATIONS

29 The Astrodynamics network "AstroNet-II" M.T.M. 29 Publications [1] A. Caubet, J.D. Biggs: An efficient, singularity free attitude controller on SO(3). Preprint. [2] A. Caubet, J.D. Biggs: Design of an Attitude Stabilization Electromagnetic Module for Detumbling Uncooperative Targets (2013). (Preprint). [3] M. Ceccaroni, F. Biscani, J. D. Biggs: "Analytical method for perturbed frozen orbit around an Asteroid in highly inhomogeneous gravitational fields: a first approximation". To appear in Journal Solar System Research (2013). Preprint. [4] M. Ceccaroni, J. D. Biggs: "Analytic perturbative theories in highly inhomogeneous gravitational fields". Icarus, 224, Issue 1, (2013). Preprint. [5] A.J. Maciejewski, M. Przybylska, L. Simpson, W. Szuminski: "Non-integrability of the dumbbell and point mass problem". To appear in Celestial Mechanics and Dynamical Astronomy (2013). Preprint. [6] C.-L. Prioroc, S.Mikkola. "Simple algorithms for relative motion of satellites". Preprint. [7] R.M. Stefanescu, C.L. Prioroc, A.M. Stoica: "Weighting matrices determination using pole placement for tracking maneuvers". UPBSci. Bull., Series D, Vol. 75, Iss. 2 (2013). Preprint.

30 The Astrodynamics network "AstroNet-II" M.T.M. 30 Internal research reports [1] M. Ceccaroni: Dissipative effects on attitude dynamics, Report [2] R.I. Páez: Exploring the marginal stability region of the tadpole orbits for the planar circular restricted 3-body problem: an approach based on normal forms, Report

31 The Astrodynamics network "AstroNet-II" M.T.M. 31 Conference and meeting presentations - 1 [1] J.D. Biggs, M. Ceccaroni, C. McInnes: "Perturbed Restricted Few-Body Problems and their Applications". SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, USA, May [2] J.D. Biggs, C. Maclean, A. Caubet: "Heteroclinic optimal control solutions for attitude motion planning". The Third Australian Control Conference, Perth, November Paper. [3] A. Caubet: "Optimal attitude motion planner for small satellites using a shape-based method". Research Presentation Day, University of Strathclyde, Glasgow, June [4] A. Caubet: "Tumble Stabilization of an Uncooperative Target Using an Electromagnetic Net". IEEE Aerospace Conference, Big Sky, Montana, USA, 1-8 March 2014 (accepted). [5] A. Caubet, J.D. Biggs: "Optimal Attitude Motion Planner for Large Slew Manoeuvres Using a Shape-Based Method". AIAA Guidance, Navigation and Control Conference, Boston, USA, August Paper. [6] M. Ceccaroni: "Double averaging method for frozen orbits around an inhomogeneous body". First International Conference on Dynamics of Differential Equations, Georgia Institute of technology, Atlanta, Georgia, USA, March [7] E. Iorfida: "Modelling mid-course Corrections of Interplanetary Trajectory". The Sixth International Meeting on Celestial Mechanics (CELMEC VI), San Martino al Cimino, Italy, 2-6 September [8] D. Landau, J. Dankanich, N. Strange, J. Bellrose, P.J. Llanos, M. Tantardini: "Trajectory to Nab a NEA (Near Earth-Asteroid)". AAS-AIAA Astrodynamics Specialist Conference, Kauai, AAS , February Paper. [9] P.J. Llanos, M. Di Domenico, J. Gil-Fernandez: "GNC Technologies for Proximity Operations in Missions to Small Bodies". GNC/AAS Conference, Breckenridge, USA, AAS , 1-6 February Paper.

32 The Astrodynamics network "AstroNet-II" M.T.M. 32 Conference and meeting presentations - 2 [10] P.J. Llanos, G.R. Hintz, M.W. Lo, J.K. Miller: Powered Heteroclinic and Homoclinic Connections between the Triangular Points in the Sun-Earth System and Quasi-Satellite Orbits for Solar Observations". AAS-AIAA Astrodynamics Specialist Conference, Hilton Head, South Carolina, USA AAS , August Paper. [11] P.J. Llanos, J.K. Miller, G.R. Hintz: "Mission and Navigation Design of Integrated Trajectories to L4 and L5 in the Sun-Earth System". AIAA/AAS Astrodynamics Specialist Conference, Minneapolis, USA, August Paper. [12] P.J. Llanos, J.K. Miller, G.R. Hintz: "Comet Thermal Model for Navigation". AAS-AIAA Astrodynamics Specialist Conference, Kauai, AAS , February Paper. [13] P.J. Llanos, J.K. Miller, G.R. Hintz: "L5 Mission Design Targeting Strategy". AAS-AIAA Astrodynamics Specialist Conference, Kauai, AAS , February Paper. [14] J.K. Miller, P.J. Llanos, G.R. Hintz: "Trajectory Dynamics of Gas Molecules and Galaxy Formation". AAS-AIAA Astrodynamics Specialist Conference, Hilton Head, South Carolina, USA, AAS , August Paper. [15] Z.P. Olikara, J.J. Masdemont, and G. Gómez: "Disposal techniques for spacecraft in libration point orbits". The Sixth International Meeting on Celestial Mechanics (CELMEC VI), San Martino al Cimino, Italy, 2-6 September Paper. [16] Z.P. Olikara, J.J. Masdemont, and G. Gómez: "End-of-life disposal of libration point orbit spacecraft". 64th International Astronautical Congress, Paper No. IAC-13.C Beijing, China, September Paper. [17] R.I. Páez: "Exploring the border of the stability region in the PCR3BP". The Sixth International Meeting on Celestial Mechanics (CELMEC VI), San Martino al Cimino, Italy, 2-6 September 2013

33 The Astrodynamics network "AstroNet-II" M.T.M. 33 Conference and meeting presentations - 3 [18] F. Paita, G. Gómez and J.J. Masdemont: "On the Cucker-Smale flocking model applied to a formation moving in a central force field". The Sixth International Meeting on Celestial Mechanics (CELMEC VI), San Martino al Cimino, Italy, 2-6 September Paper. [19] F. Paita, G. Gómez and J.J. Masdemont: "On the Cucker-Smale flocking model applied to a formation moving in a central force field". 64rd International Astronautical Congress. Paper No. IAC-13.C Beijing, China, September Paper. [20] M. Zamaro: "Non-Keplerian Orbits in the Mars-Phobos System". SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, USA, May, [21] M. Zamaro: "Non-Keplerian Orbits in the Mars-Phobos System". Research Presentation Day, University of Strathclyde, Glasgow, June 2013.

34 The Astrodynamics network "AstroNet-II" M.T.M. 34 TRAINING ACTIVITIES

35 The Astrodynamics network "AstroNet-II" M.T.M. 35 Training activities: Training Schools First AstroNet-II Training School and Workshop "Astrodynamics of natural and artificial satellites: from regular to chaotic motions January 2013, Universita degli Studi di Roma Tor Vergata Courses Attitude Dynamics and Control. Dr. James Biggs, University of Strathclyde KAM Theory and Applications in Celestial Mechanics. Dr. Ugo Locatelli, Universita degli Studi di Roma Tor Vergata Astrodynamics of Asteroids. Prof. Daniel Scheeres, University of Colorado Orbital Dynamics. Prof. Phil Palmer. Surrey Space Centre, University of Surrey Symbolic Manipulation in Astrodynamics. Dr. F. Biscani, Almende B.V. Attended by all the recruited ER and ESR and 44 external participants of 9 different countries (link)

36 The Astrodynamics network "AstroNet-II" M.T.M. 36 Training activities: Training Schools Second AstroNet-II Training School and Workshop "Advanced aspects of Spacecraft Control and Mission Design 3-7 June 2013, University of Strathclyde Courses Invariant Manifolds. Prof, Josep J. Masdemont and Prof. Gerard Gómez. Institut d'estudis Espacials de Catalunya (IEEC). Barcelona, Spain. Orbit and Attitude Determination. Prof. Ozan Tekinalp. Middle East Technical University (METU). Ankara, Turkey. Optimal Control and Applications. Prof. Victor Becerra, University of Reading, Reading, UK. Solar Sailing. Prof. Colin McInnes, University of Strathclyde, Glasgow, UK.. Trajectory Optimization. Prof. Max Vasile, University of Strathclyde, Glasgow, UK. Attended by all the ER and ESR and 43 external participants of 7 different countries (link)

37 The Astrodynamics network "AstroNet-II" M.T.M. 37 Training activities: Courses and seminars Simulation Methods. (Prof. Carles Simó). Master course. Universitat de Barcelona. September January 2013, Barcelona (Spain). Attended by: F. Paita. 2. PhD Program in Mathematics. University of Roma Tor Vergata, Roma (Italy). October 2012 July Attended by: R.I. Páez. 3. Mathematica. Training course. University of Glasgow, Glasgow (UK). December Attended by: A. Caubet, M. Zamaro. 4. Enterprise Academy. Internal course. University of Strathclyde, Glasgow (UK). March Attended by: A. Caubet, M. Zamaro. 5. Writing research papers for peer-reviewed journals. Internal course. University of Strathclyde, Glasgow (UK). March-May Attended by: A. Caubet, M. Zamaro. 6. A Course on Dynamical Systems. (Profs. Amadeu Delshams and Carles Simó) Barcelona Graduate School of Mathematics. September December 2013, Barcelona (Spain). Attended by: Z.P. Olikara and F. Paita. 7. Welcome to Your PhD (FEPS). 24/04/2012. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi.

38 The Astrodynamics network "AstroNet-II" M.T.M. 38 Training activities: Courses and seminars Engaging with Your Literature. 14/05/2012. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi. 9. When Do I Start Writing and How? 14/06/2012. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi. 10. The PhD Confirmation Process (aka Transfer / Upgrade Exam). 22/11/2012. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi. 11. UK Astrodynamics Workshop. February Harwell (UK). Attended by: A. Turconi. 12. Confirmation Academic Writing: Getting Started. 06/02/2013. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi. 13. Confirmation Report Writing.18/02/2013. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi. 14. Using different tenses actively in doctoral writing. 20/06/2013. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi. 15. Removing ambiguity from your doctoral writing: understanding modifiers. 03/07/2013. University of Surrey, Surrey (UK). Attended by: E. Iorfida, A. Turconi.

39 The Astrodynamics network "AstroNet-II" M.T.M. 39 Training activities: International Conferences & Meetings GNC/AAS Conference. 1-6 February 2013, Breckenridge (USA). Attended by P.J. Llanos rd AAS/AIAA Spaceflight Mechanics Meeting February 2013, Kauai, Hawaii (USA). Attended by P.J. Llanos. 3. First International Conference on Dynamics of Differential Equations March 2013, Georgia Tech, Atlanta (USA). Attended by M. Ceccaroni. 4. SIAM Conference on Applications of Dynamical Systems May 2013, Snowbird, Utah, (USA) Attended by M. Zamaro. 5. Mathematical Models and Methods for Planet Earth May 2013, Instituto Nazionale di Alta Matematica (INDAM), Univ. di Roma "La Sapienza", Rome (Italy). Attended by M. Ceccaroni, R.I. Páez. 6. Third International Symposium on Solar Sailing June 2013, University of Strathclyde, Glasgow (UK). Attended by A. Caubet, M. Ceccaroni, P.J. Llanos, Z.P. Olikara, F. Paita, M. Zamaro.

40 The Astrodynamics network "AstroNet-II" M.T.M. 40 Training activities: International Conferences & Meetings Planetary Motions, Satellite Dynamics and Spaceship Orbits July 2013, Centre de Recherches Mathematiques, Université de Montreal, Montreal (Canada). Attended by R.I. Páez. 8. AAS-AIAA Astrodynamics Specialist Conference August 2013, Hilton Head, South Carolina (USA). Attended by P.J. Llanos. 9. CELMEC VI: The Sixth International Meeting on Celestial Mechanics. 2-6 September 2013, Balletti Park Hotel, San Martino al Cimino, Viterbo (Italy). Attended by M. Ceccaroni, E. Iorfida, Z.P. Olikara, I.R. Páez, F. Paita, th International Astronautical Congress September 2013, Beijing, China. Attended by Z.P. Olikara and F. Paita.

41 The Astrodynamics network "AstroNet-II" M.T.M. 41 Training activities: Complementary skills 1. Preparation of a joint proposal for the Ariadna research project (ESA Advanced Concepts Team) "Automatic Characterization and Extraction of Structures in Area-Preserving Maps". Z.P. Olikara and F. Paita at IEEC, and M. Ceccaroni and R.I. Páez at UTV. February Preparation of a proposal for the Ariadna research project (ESA Advanced Concepts Team) "Automatic Characterization and Extraction of Structures in Area-Preserving Maps". A. Wittig, at PoliMi, July 2013.

42 The Astrodynamics network "AstroNet-II" M.T.M. 42 Training activities: Complementary skills 1. Organisation of the First AstroNet-II Training School: "Astrodynamics of Natural and Artificial Satellites: From Regular to Chaotic Motions". M. Ceccaroni, R. I. Páez. January Organisation of the Second AstroNet-II Training School: "Advanced Aspects of Spacecraft Control and Mission Design". A. Caubet, M. Zamaro. June Organisation of the Mid-Term Meeting. E. Iorfida. December 2013.

43 The Astrodynamics network "AstroNet-II" M.T.M. 43 NETWORKING

44 The Astrodynamics network "AstroNet-II" M.T.M. 44 Networking: Exchanges 1. University of Strathclyde IEEC M. Zamaro visited (28-30/11/2012) G. Gómez and J.J. Masdemont (IEEC) to work on libration point orbits of the Mars-Phobos system (WP 1.1 Invariant Manifold Dynamics). During his visit he gave a presentation. 2. Universita degli Studi di Roma Tor Vergata - Politecnico di Milano M. Ceccaroni visited (July and November 2013) F. Bernelli- Zazzera and C. Colombo (PoliMi) to work on WP 2.3 Dissipative effects on the Attitude Dynamics. 3. University of Turku - University of Strathclyde C.-L. Prioroc visited (02/10/ /11/2013) J. Biggs (Strathclyde) to work on the computation of family of L1 Halo orbits so that these orbits can be used for formation flying (WP 1.1 and WP 3.2)

45 The Astrodynamics network "AstroNet-II" M.T.M. 45 Networking: Internships Ø Informative lectures by the associated partners: 1. J. Schoenmaekers (ESA/ESOC): Internships at ESA/ESOC. January 2013 (First AstroNet-II Training School). Presentation. 2. J. Fontdecaba (TAS): Internships at Thales-Alenia. January 2013 (First AstroNet-II Training School). Presentation. 3. S. Kemble (Astrium): "Internships at Astrium. December 2013 (Mid-Term Meeting)

46 The Astrodynamics network "AstroNet-II" M.T.M. 46 Networking: Internships 1. University of Strathclyde - Thales-Alenia-Space M. Zamaro undertook an internship at Thales from 02/04/2013 to 26/04/2013. Goal of the internship: propose a scenario for the operations near Phobos for the Mars Sample Return Mission (WP 3.1 Proximity Manoeuvres). A second internship is foreseen for next year.

47 The Astrodynamics network "AstroNet-II" M.T.M. 47 Networking: Activities 1. Preparation of a joint proposal for the Ariadna research project (ESA Advanced Concepts Team) "Automatic Characterization and Extraction of Structures in Area-Preserving Maps". F. Paita and Z.P. Olikara at IEEC, and M. Ceccaroni and R.I. Páez at UTV. February A Research Projects Booklet was prepared by M. Ceccaroni and R.I. Páez, that included the research projects of all the researchers. 3. In order to promote exchanges, in all the Training Schools the ER and ESR have done presentations of their current research. The slides of the presentations are in AstroNet-II website.

48 The Astrodynamics network "AstroNet-II" M.T.M. 48 MANAGEMENT

49 Budget The Astrodynamics network "AstroNet-II" M.T.M. 49

50 The Astrodynamics network "AstroNet-II" M.T.M. 50 Payment plan PAYMENT PLAN Prefinancing Advance Prefinancing Interim Payment Final payment Guarantee fund Total amount Date Total amount Date Total amount Estimated Date Total amount Estimated Date Total amount Estimated Date TOTAL IEEC 0,00 Feb , , , , ,00 Jan CLYDE 9.989,84 Feb , , , , ,00 DEIMOS 8.746,41 Feb , , , , ,00 GMV 8.746,41 March ,19 Nov / Jan , , , ,00 METU ,25 March , , , , ,00 Apr Apr Set PM 0, , , , , ,00 STRATHCLYDE ,00 Feb , , , , ,00 Jan SURREY ,00 Feb , , , , ,00 TURKU ,78 Feb , , , , ,00 UTV ,90 Feb , , , , ,00 ZIELONA-GORA ,25 Apr , , , , ,00 TOTAL , , , , , ,00

51 The Astrodynamics network "AstroNet-II" M.T.M. 51 OUTREACH ACTIVITIES

52 The Astrodynamics network "AstroNet-II" M.T.M. 52 Outreach activities M. Ceccaroni: Spheres of influence, interplanetary transfers and gravitational flybies", a public lecture for the Master students in Mathematics, December M. Ceccaroni: Project and realization of the AstroNet-II official logo, December A. Celletti: presentation of the book "Pianeti per Caso" (Planets by Chance) by A. Celletti and E. Perozzi, Libreria assaggi, Via degli Etruschi 4/ Roma, Italy, 16 May A. Celletti: Radio interview titled "IL PIANETA DI FRONTE" with A. Celletti and E. Perozzi about the book "Pianeti per Caso", 24 May A. Celletti: At "La Fiera delle Parole"(Padova), presentation of the book "Pianeti per Caso" by A. Celletti and E. Perozzi, 13 October A. Celletti: Debate (in Italian) on the meaning of "Time" between a scientist (Prof. A. Celletti) and a novel writer, 4 May A. Celletti: A movie done in collaboration with the Italian Space Agency, on the history of the universe (and the Solar System): "The numbers of the universe: from 0 to infinity, and back!" (In Italian), July A. Celletti: A blog in the Mathematics of Planet Earth web site on the workshop Mathematical Models and Methods for Planet Earth" in collaboration with E. Strickland, 25 May 2013.

53 The Astrodynamics network "AstroNet-II" M.T.M. 53 Outreach activities A. Celletti: A blog in the Mathematics of Planet Earth web site on "KAM Theory and Celestial Mechanics", 24 June A. Celletti, U. Locatelli: Mathematical Models and Methods for Planet Earth, workshop organized by A. Celletti, U. Locatelli, T. Ruggeri, E. Strickland, INdAM, Rome, May 27{29 (2013); a book of proceedings edited by A. Celletti, U. Locatelli, T. Ruggeri, E. Strickland and titled Mathematical Models and Methods for Planet Earth" (Springer-Italia) is in print. 11. U. Locatelli: A blog in the Mathematics of Planet Earth web site on the workshop Mathematical Models and Methods for Planet Earth", 1 June A. Caubet and M. Zamaro: Co-organised an event for the Scottish Space School, Outreach activity with Schools to encourage pupils into science and engineering. Glasgow, Jun A. Caubet and M. Zamaro: Scottish Space School 2013 "The sky is NOT the limit!". The Scottish Space School at Strathclyde aims to inspire the next generation of scientists and engineers by highlighting the career and educational opportunities available to young people with an interest in science, engineering and technology. Organised Mini Space Academy. Glasgow, June 2013.

54 The Astrodynamics network "AstroNet-II" M.T.M. 54 Outreach activities A. Caubet and M. Zamaro: During the Second AstroNet-II training school, dedicated event and public lectures "A Tribute to Professor Archie Roy. McCance Lecture Theatre 1, McCance Building, University of Strathclyde. June E. Iorfida and A. Turconi: Co-organised The 2013 SATRO Festival of Science and Engineering at Brooklands Museum, Weybridge. UK, 26/06/ R.I. Páez: Dynamical Chaos at service of space missions design", Open public talk, 13 September 2013, presented at Facultad de Ciencias Astronómicas y Geofísicas of the Universidad Nacional de La Plata, La Plata, Argentina. 17. R.I. Páez: Dynamical Chaos at service of space missions design", Open public talk, 24 September 2013, presented at Colegio San Pio X, for the advanced students, La Plata, Argentina.

55 The Astrodynamics network "AstroNet-II" M.T.M. 55 PRIZES AND AWARDS

56 The Astrodynamics network "AstroNet-II" M.T.M. 56 Prizes and Awards 1. Two CELMEC VI prizes were awarded to AstroNet-II Early Stage Researchers: CELMEC PRIZE: Celestial Mechanics for Planet Earth" to Marta Ceccaroni for her paper titled "Analytic perturbative theories in highly inhomogeneous gravitational fields", Icarus 2013, in collaboration with James Biggs. "CELMEC Poster Prize" to Zubin Olikara for his poster titled "Disposal techniques for spacecraft in libration point orbits". 2. The ESR Zubin Olikara was awarded by a fellowship of the International Astronautical Federation -IAF Emerging Space Leaders Grant Programme- to attend the 64rd International Astronautical Congress (Beijing, China, September 2013). Paper No. IAC-13.C1.8.2: "End-of-life disposal of libration point orbit spacecraft".

57 The Astrodynamics network "AstroNet-II" M.T.M. 57 THE END