A Monte Carlo Analysis for Collision Risk Assessment on Vega Launcher Payloads and LARES Satellite

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This work has been developed in the framework of the LARES mission of the Italian Space Agency (ASI). The LARES satellite has been built to test, with high accuracy, the frame–dragging effect predicted by the theory of General Relativity, specifically the Lense–Thirring drag of its node. LARES was the main payload in the qualification flight of the European Space Agency launcher VEGA. A concern arose about the possibility of an impact between the eight secondary payloads among themselves, with LARES and with the last stage of the launcher (AVUM). An impact would have caused failure on the payloads and the production of debris in violation of the space debris mitigation measures established internationally. As an additional contribution, this study allowed the effect of the payload release on the final manoeuvers of the AVUM to be understood.

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  • Arianespace. VEGA user’s manual April 2014. Issue 4 - Revision 0.

  • I. Ciufolini. Theory and experiments in general relativity and in others metric theories. PhD thesis University of Texas at Austin USA 1984.

  • I. Ciufolini. Measurement of the Lense-Thirring drag on high-altitude laser-ranged artificial satellites. Physical Review Letters 56:278–281 1986.

  • I. Ciufolini. A comprehensive introduction to the LAGEOS gravitomagnetic experiment: from the importance of the gravitomagnetic field in physics to preliminary error analysis and error budget. Int. J. Mod. Phys. A 4:3083–3145 1989.

  • I. Ciufolini and A. Paolozzi. LARES: a new laser ranged satellite for fundamental physics and general relativity. Actual Problems of Aviation and Aerospace Systems 1:61–73 1999.

  • I. Ciufolini and E. C. Pavlis. A confirmation of the general relativistic prediction of the Lense-Thirring effect. Nature 431:958–960 2004.

  • I. Ciufolini A. Paolozzi I. Peroni and A. Gabrielli. A study for a laser ranged relativity satellite. In Proceedings of Sixth Pan American Congress of Applied Mechanics and Eighth International Conference on Dynamics Problems in Mechanics PACAM VI/DINAME 99 Rio de Janeiro Brasil pages 467–470 4-8 January 1999.

  • I. Ciufolini D.G. Currie and A. Paolozzi. The LARES mission for testing the dynamics of general relativity. In IEEE Aerospace Conference Big Sky Montana USA. IEEE 5-12 March 2003.

  • I. Ciufolini A. Paolozzi E.C. Pavlis J.C. Ries R. Koenig R.A. Matzner G. Sindoni and H. Neumayer. Towards a one percent measurement of frame dragging by spin with satellite laser ranging to LAGEOS LAGEOS 2 and LARES and GRACE gravity models. Space Science Reviews 148(1-4):71–104 2009a.

  • I. Ciufolini A. Paolozzi G. Sindoni E.C. Pavlis and A. Gabrielli. Scientific aspects of LARES mission. In 60th International Astronautical Congress - IAC Daejeon Republic of Korea number IAC-09.B4.2.9. IAF 12-16 October 2009b.

  • I. Ciufolini A. Paolozzi G. Sindoni E.C. Pavlis A. Gabrielli S. Pirrotta D. Barbagallo and E. Mangraviti. Objective of LARES satellite. In XX congresso nazionale AIDAA Milano Italy. Associazione Italiana di Aeronautica e Astronautica 29 June - 3 July 2009c.

  • I. Ciufolini A. Paolozzi E. C. Pavlis G. Sindoni R. Koenig J. Ries and R. Matzner. The LARES space experiment: LARES orbit error analysis and satellite structure. In I. Ciufolini and R. A. Matzner editors General Relativity and John Archibald Wheeler volume 367 of Astrophysics and Space Science Library. Springer 2010.

  • I. Ciufolini A. Paolozzi E. C. Pavlis J. Ries R. Koenig R. Matzner G. Sindoni and H. Neumayer. Testing gravitational physics with satellite laser ranging. The European Physical Journal Plus 126(8):72 2011. doi: 10.1140/epjp/i2011-11072-2.

  • I. Ciufolini A. Paolozzi and C. Paris. Overview of the LARES mission: orbit error analysis and technological aspects. Journal of Physics. Conference Series 354 2012a. conference 1.

  • I. Ciufolini A. Paolozzi E. Pavlis J. Ries V. Gurzadyan R. Koenig R. Matzner R. Penrose and G. Sindoni. Testing general relativity and gravitational physics using LARES satellite. The European Physical Journal Plus 127:133 2012b.

  • I. Ciufolini A. Paolozzi E. Pavlis J. Ries R. Koenig R. Matzner V. Slabinski V. Gurzadyan E. Flamini G. Sindoni C. Paris and H. Neumayer. Initial orbit determination results for the LARES satellite. In 63rd International Astronautical Congress IAC 2012 Naples Italy. IAF October 2012c.

  • I. Ciufolini V. Gurzadyan R. Penrose and A. Paolozzi. Geodesic motion in general relativity: LARES in earth’s gravity. In V. Gurzadyan A. G. Sedrakyan and A. Klumper editors Low Dimensional Physics and Gauge Principles pages 1–4. World Scientific 2013a.

  • I. Ciufolini B. Moreno Monge A. Paolozzi R. Koenig G. Sindoni G. Michalak and E. Pavlis. Monte carlo simulations of the LARES space experiment to test general relativity and fundamental physics. Classical and Quantum Gravity 30 2013b.

  • I. Ciufolini A. Paolozzi C. Paris and G. Sindoni. The LARES satellite and its minimization of the thermal forces. In IEEE International Workshop on Metrology for Aerospace - MetroAerospace Benevento Italy May 29-30 2014.

  • COPUOS. Report of the scientic and technical subcommittee on its fty-rst session vienna from 10 to 21 February 2014.

  • D.T. Hall and M.J. Matney. Collision probabilities for keplerian orbits. Space Debris2: 161–198 2000.

  • D.J. Kessler. Derivation of the collision probability between orbiting objects: the lifetime of jupiters outer moons. Icarus 48:39–48 1981.

  • H. Klinkrad P. Beltrami S. Hauptmann C. Martin H. Sdunnus H. Stokes R. Walker and J. Wilkinson. The {ESA} space debris mitigation handbook 2002. Advances in Space Research 34(5):1251 – 1259 2004.

  • E.J. Opik. Collision probabilities with the planets and the distribution of interplanetary matter. In Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences volume 54 1951/52.

  • A. Paolozzi and I. Ciufolini. LARES succesfully launched in orbit: satellite and mission description. Acta Astronautica 91:313–321 2013.

  • A. Paolozzi I. Ciufolini C. Vendittozzi and F. Felli.

  • A. Paolozzi I. Ciufolini F. Felli A. Brotzu and D. Pilone. Issues on LARES satellite material. In 60th International Astronautical Congress - IAC Daejeon Republic of Korea number IAC-09.C2.4.5. IAF 12-16 October 2009a.

  • A. Paolozzi I. Ciufolini C. Paris G. Sindoni M. Ramiconi F.M. Onorati and L. Scolamiero. Design of LARES separation system. In XX congresso nazionale AIDAA Milano Italy. Associazione Italiana di Aeronautica e Astronautica 29 June - 3 July 2009b.

  • A. Paolozzi I. Ciufolini and C. Vendittozzi. Engineering and scientific aspects of LARES satellite. Acta Astronautica 69:127–134 2011.

  • A. Paolozzi I. Ciufolini F. Passeggio G. Caputo L. Caputo A. Bursi and E. Mangraviti. LARES satellite and separation system. In 63rd International Austronautical Congress IAC 2012 Naples Italy. IAF October 2012.

  • A. Paolozzi I. Ciufolini C. Paris and G. Sindoni. LARES a new satellite specifically designed for testing general relativity. International Journal of Aerospace Engineering Volume 2015:9 pages 2015. Article ID 341384.

  • L. Perek. Space debris at the united nations. Space Debris 2:123–136 2000.

  • J. C. Ries. Relativity in satellite laser ranging. In IAU Symposium 261. Relativity in Fundamental Astronomy: Dynamics Reference Frames and Data Analysis. Virginia Beach VA USA. IAU 27 April - 1 May 2009.

  • A. Rossi and G.B. Valsecchi. Collision risk against space debris in earth orbits. Celestial Mechanics and Dynamical Astronomy 95:345–356 2006.

  • B.D. Tapley and I. Ciufolini. Measuring the Lense-Thirring precession using a second LAGEOS satellite. Technical report Center for Space Research - University of Texas at Austin 1989. CSR-UT publication n. CSR-89-3.

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