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Prospects for Using the Halo-Orbit in the Vicinity of the L2 Libration Point of the Sun–Earth System for the Ground-Space Millimetron Radio Interferometer

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This paper presents an analysis of the possibility of performing VLBI (Very Long Base Interferometry) observations in the halo-orbit near the L2 libration point of the Sun–(Earth + Moon) system. This orbit is intended to be used by the Millimetron ground–space radio interferometer. This orbit is shown to provide a slow evolution of UV-coverage, and the majority of sources do not have small baseline projections throughout the mission. The problem of effective use of observational time is also revealed. The obtained results are generalized to the entire family of halo-orbits, as well as to the Lissajous family of orbits.

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  1. Smirnov, A.V., Baryshev, A.M., Pilipenko, S.V., et al., Space mission Millimetron for terahertz astronomy, in Space Telescopes and Instrumentation 2012:Optical, Infrared, and Millimeter Wave, Proc. SPIE, 2012, vol. 8442.

    Google Scholar 

  2. Kardashev, N.S., Novikov, I.D., Lukash, V.N., et al., Review of scientific topics for the Millimetron space observatory, Phys.-Usp., 2014, vol. 57, no. 12, pp. 1199–1228.

    Article  ADS  Google Scholar 

  3. Wild, W. and Kardashev, N.S., Millimetron—A large Russian-European submillimeter space observatory, Exp. Astron., 2009, vol. 23, no. 1, pp. 221–244.

    Article  ADS  Google Scholar 

  4. Duboshin, G.N., Nebesnaya mekhanika. Osnovnye zadachi i metody (Celestial Mechanics: Main Problems and Methods), Moscow: Nauka, 1968.

  5. Il’in, I.S., Sazonov, V.V., and Tuchin, A.G., Construction of restricted orbits in the vicinity of libration point L2 of the Sun–Earth system, Preprint of Keldysh Inst. Appl. Math, Russ. Acad. Sci., 2012, no. 65.

  6. Il’in, I.S., Zaslavskii, G.S., Lavrenov, S.M., et al., Ballistic design of transfer trajectories from artificial-satellite Earth orbit to Halo orbit in the neighborhood of the L2 point of the Sun–Earth system, Cosmic Res., 2014, vol. 52, no. 6, pp. 437–449.

    Article  ADS  Google Scholar 

  7. Mikheeva, E.V., Lukash, V.N., Repin, S.V., et al., Catalog of supermassive black holes for interferometric observations, Astron. Rep., 2019, vol. 63, no. 4. pp. 343–352.

    Article  ADS  Google Scholar 

  8. Synthesis Imaging in Radio Astronomy II, Taylor, G.B., Carilli, C.L., Perley, R.A., Eds., ASP Conf. Ser., 1999, vol. 180.

    Google Scholar 

  9. Thompson, A., Moran, J., and Swenson, G., Interferometry and Synthesis in Radio Astronomy, Krieger, 1994; Moscow: Fizmatlit, 2003.

  10. Kardashev, N.S., Kreisman, B.B., Pogodin, A.V., et al., Orbit design for the Spektr-R spacecraft of the ground-space interferometer, Cosmic Res., 2014, vol. 52, no. 5, pp. 332–341.

    Article  ADS  Google Scholar 

  11. Ricarte, A. and Dexter, J., The Event Horizon Telescope: Exploring strong gravity and accretion physics, Mon. Not. R. Astron. Soc., 2015, vol. 446, no. 2, pp. 1973–1987.

    Article  ADS  Google Scholar 

  12. Shaikhutdinov, A.R., Rudnitskii, A.G., Likhachev, S.V., et al., Possible orbit configurations for the Millimetron ground-space radio interferometer, Tr. Inst. Prikl. Astron. Ross. Akad. Nauk, 2018, no. 47, pp. 72–78.

  13. Bugaevskii, L.M., Matematicheskaya kartografiya (Mathematical Cartography), Moscow: Zlatoust, 1998.

  14. Bernelli-Zazzera, F., Topputo, F., and Massari, M., Assessment of Mission Design Including Utilization of Libration Points and Weak Stability Boundaries, ESA/ESTEC contract no. 18147/04/NL/MV, Milano: Politecnico di Milano, 2004.

  15. Markeev, A.P., Tochki libratsii v nebesnoi mekhanike i kosmodinamike (Libration Points in Celestial Mechanics and Space Dynamics), Moscow: Nauka, 1978.

  16. Prusti, T., de Bruijne, J.H.J., Brown, A.G.A., et al., The GAIA mission, Astron. Astrophys., 2016, vol. 595, id A1.

  17. Kovalenko, I.D. and Eismont, N.A., Final manoeuvre from highly elliptical orbit towards Lagrangian points, in 15th International Conference on Space Operations, Marseille, France, 2018.

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Correspondence to A. R. Shaykhutdinov.

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Translated by Yu. Preobrazhensky

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Shaykhutdinov, A.R., Kostenko, V.I. Prospects for Using the Halo-Orbit in the Vicinity of the L2 Libration Point of the Sun–Earth System for the Ground-Space Millimetron Radio Interferometer. Cosmic Res 58, 393–401 (2020).

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