1.E. A. Agekyan, Probability Theory for Astronomers and Physicists (Nauka, Moscow, 1974) [in Russian].

2.Yu. V. Aleksandrov and V. A. Zakhozhay, “Just what are planets,” Sol. Sys. Res. 14, 101 (1981).

3.Yu. V. Aleksandrov and V. A. Zakhozhay, “Possible number of planetary systems in the galaxy,” Sol. Sys. Res. 17(2), 60–63 (1983).

4.C. W. Allen, Astrophysical Quantities (The Athlone, London, 1973).

5.G. S. Bisnovatyi-Kogan, Physical problems of the theory of stellar evolution (Nauka, Moscow, 1989) [in Russian].

6.V. V. Bobylev, “Determination of the rotation curve for Gould Belt stars using Bottlinger’s formulas,” Pis’ma Astron. Zh. 30(3), 185–195 (2004).

7.V. V. Bobylev, “Kinematic features of Gould Belt stars,” Pis’ma Astron. Zh. 30(11), 861–873 (2004).

8.V. V. Bobylev, “Gould Belt kinematics based on open clusters,” Pis’ma Astron. Zh. 32(12), 906–917 (2006).

9.N. G. Bochkarev, Local Interstellar Medium (Nauka, Moscow, 1990) [in Russian].

10.S. V. Vereshchagin and N. V. Chupina, “Stellar mass function in the solar neighborhood and the UMa star cluster,” Astron. Zh. 71(1), 72–77 (1994).

11.A. K. Dambis, A. M. Mel’nik, and A. S. Rastorguev, “Trigonometric parallaxes and a kinematically consistent scale of distances to OB associations,” Pis’ma Astron. Zh. 27(1), 68–75 (2001).

12.M. V. Zabolotskikh, A. S. Rastorguev, and A. K. Dambis, “Kinematic parameters of young subsystems and the galaxy rotation curve,” Pis’ma Astron. Zh. 28(7), 516–526 (2002).

13.V. A. Zakhozhay, “Nearest stars,” Vestn. Kharkov Univ. 190(14), 52–77 (1979).

14.V. A. Zakhozhay, “Luminosity function and spatial density of nearest stars,” Astrom. Astrofiz., No. 42, 64–69 (1980).

15.V. A. Zakhozhay, “Additions and corrections to the catalogue of nearby stars within 10 pc,” Vestn. Kharkov Univ. 232(17), 64–70 (1982).

16.V. A. Zakhozhay, “Star counts within 10 parsecs,” Astrom. Astrofiz., No. 50, 47–52 (1983).

17.V. A. Zakhozhay, Candidate’s Dissertation in Mathematics and Physics (GAO AN SSR, Leningrad, 1987).

18.V. A. Zakhozhay, Statistical properties of stars and multiple systems within 10 pc, in Astronomical and Geodetic Studies: Nearby Binary and Multiple Stars (Ural Gos. Univ., Sverdlovsk, 1990), pp. 44–54 [in Russian].

19.V. A. Zakhozhay, “Masses of nearby stars,” Kin. Fiz. Nebes. Tel 10(2), 68–73 (1994).

20.V. A. Zakhozhay, “Mass functions of stars in the galaxy,” Kin. Phys. Cel. Bodies 16(2), 115 (2000).

21.V. A. Zakhozhay, “Substars as a new class of celestial bodies,” in Proc. Int. Interdisciplinary Research and Practice Conf. on Modern Problems of Science and Education, Kerch, Ukraine, June 27–July 4, 2001, (Kharkiv, 2001), Part 1, pp. 32–33.

22.V. A. Zakhozhay, “Radii and spectra of the nearest stars,” Kin. Fiz. Nebes. Tel 18(6), 535–552 (2002).

23.V. A. Zakhozhay, “Celestial bodies of the galaxy: classification and evolution,” Visn. Astron. Shkol. 3(2), 81–99 (2002).

24.V. A. Zakhozhay, Doctoral Dissertation in Mathematics and Physics (KhNU, Kharkiv, 2007).

25.V. A. Zakhozhay, Yu. N. Gnedin, and N. A. Shakht, “Contribution of the Pulkovo and Kharkiv scientific schools to the search for exoplanets and low-mass dark satellites of stars,” Astrofizika 53(4), 645–664 (2010).

26.V. A. Zakhozhay and O. V. Zakhozhay, “Disks around the nearest stars and substars,” Kin. Phys. Cel. Bodies 26(1), 1–17 (2010).
https://doi.org/10.3103/S0884591310010010

27.V. A. Zakhozhay, O. V. Zakhozhay, and A. P. Vid’machenko, “Peculiarities of simulation of thin flat discs with central objects in accordance with their spatial location,” Kin. Phys. Cel. Bodies 27(3), 140–153 (2011).
https://doi.org/10.3103/S0884591311030068

28.V. A. Zakhozhay and E. F. Shaparenko, “Metallicities of nearby stars,” Kin. Fiz. Nebes. Tel 12(2), 20–29 (1996).

29.V. A. Zakhozhay and E. F. Shaparenko, “Distribution function for metallicities of nearby stars,” Kin. Fiz. Nebes. Tel 13(6), 63–66 (1997).

30.V. A. Zakhozhay, E. F. Shaparenko, V. P. Vasil’ev, et al., “IR sources in the solar vicinity,” Kin. Fiz. Nebes. Tel 10(2), 74–85 (1994).

31.G. V. Ishkhanov, “Luminosity function for medium and low luminosity stars,” Vestn. Lenigr. Univ., No. 7, 151–153 (1976).

32.V. P. Keondzhyan and A. S. Monin, “A model of the gravitational differentiation of the interior of planets,” Dokl. Akad. Nauk SSSR 220(4), 822–824 (1975).

33.S. G. Kuz’menkov and I. V. Sokol, Solar System: Problem Collection (Vishcha Shkola, Kyiv, 2007) [in Ukrainian].

34.L. S. Marochnik and A. A. Suchkov, The Galaxy (Nauka, Moscow, 1984) [in Russian].

35.A. M. Mel’nik, “Peculiar features of the velocity field of OB associations and the spiral structure of the galaxy,” Pis’ma Astron. Zh. 29(4), 349–355 (2003).

36.A. M. Mel’nik, A. K. Dambis, and A. S. Rastorguev, “Periodic pattern in the residual-velocity field of OB associations,” Pis’ma Astron. Zh. 27(8), 611–624 (2001).

37.I. I. Nikiforov, “Modeling the rotation of the flat subsystem and determining the distance to the center of the galaxy: realistic quality of the model and optimization of its complexity,” Astrofizika, No. 3, 399–406 (1999).

38.I. I. Nikiforov, “Modeling the rotation of the flat subsystem and determining the distance to the center of the galaxy: analysis of data on gas complexes,” Astron. Zh., No. 6, 403–418 (1999).

39.I. I. Nikiforov and I. V. Petrovskaya, “Distance of the Sun from the galactic center and the rotation curve from kinematic H I and H II data,” Astron. Zh. 71(5), 725–736 (1994).

40.E. L. Pavlovskaya and A. A. Suchkov, “Galactic spiral structure parameters-error estimates by numerical experiments,” Astron. Zh. 57(2), 280–286 (1980).

41.P. P. Parenago, “Studies based on the general catalogue of stellar parallaxes of Sternberg Astronomical Institute,” Trudy Gos. Astron. Inst. Sternberga 13, 59–114 (1940).

42.P. P. Parenago, Course in Stellar Astronomy (Gostekhizdat, Moscow, 1954) [in Russian].

43.G. I. Pinigin, Ground-Based Optical Astrometrical Telescopes (Atoll, Nikolaev, 2000) [in Russian].

44.A. I. Pisarenko, A. A. Yatsenko, and V. A. Zakhozhay, “Evolution model for substellar objects,” Astron. Zh. 84(8), 675–684 (2007).

45.V. S. Safronov, The Evolution of the Protoplanetary Cloud and the Formation of the Earth and the Planets (Nauka, Moscow, 1969) [in Russian].

46.M. A. Svechnikov and T. A. Taidakova, “The mass-spectrum relation for main-sequence stars,” Astron. Zh. 61(1), 143–151 (1984).

47.J. M. Scalo, in Protostars and Planets, Ed. by D. C. Black and M. S. Matthews (Univ. Arizona Press, Tucson, 1985).

48.E. N. Slyuta and S. A. Voropaev, “Small and planetary bodies of the solar system: the critical mass for icy bodies,” Sol. Sys. Res. 27(1), 55–64 (1993).

49.G. A. Starikova, “Luminosity and color functions of stars,” Astron. Zh. 37(3), 476–491 (1960).

50.A. A. Suchkov, Galaxies-Well-Known and Mysterios (Nauka, Moscow, 1978) [in Russian].

51.A. A. Suchkov and Yu. A. Shchekinov, “Note on star formation by gravitational fragmentation,” Astron. Zh. 52, 662–664 (1975).

52.A. V. Tutukov, “Formation of planetary systems during the evolution of close binary stars,” Astron. Zh. 68(4), 837–842 (1991).

53.A. V. Fedorova, “Evolution of stars of very low mass in the case of practical solid-body rotation and differential rotation during gravitational contraction to the main sequence,” Nauch. Inform., No. 46, 3–21 (1976).

54.A. V. Fedorova and S. I. Blinnikov, “Effects of accretion and rotation on the minimum mass of a main-sequence star,” Nauch. Inform., No. 42, 75–94 (1978).

55.M. F. Khodyachikh and E. A. Romanovskii, “Detection of moving clusters by the method of kinematic pairs,” Kin. Fiz. Nebes. Tel 16(1), 20–31 (2000).

56.S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Dover, New York, 1958).

57.R. B. Shatsova, “Presentation at the symposium on cosmogony,” in Proc. 2nd Symp. on Cosmogony, Russia, May 19–22, 1952 (AN SSSR, Moscow, 1953), pp. 567–571.

58.P. R. Allen, D. W. Koerner, I. N. Reid, et al., “The substellar mass function: a Bayesian approach,” Astrophys. J. 625(1), 385–397 (2005).
https://doi.org/10.1086/429548

59.W. G. Bagnuolo, S. F. Taylor, H. A. McAlister, et al., “First results from the CHARA array. V. Binary star astrometry: the case of 12 Persei,” Astron. J. 131(5), 2695–2699 (2006).
https://doi.org/10.1086/501232

60.G. T. Belle, B. F. Lane, R. R. Thompson, et al., “Radii and effective temperatures for G, K, and M giants and supergiants,” Astron. J. 117(1), 521–533 (1999).
https://doi.org/10.1086/300677

61.M. S. Bessel and G. S. Stringfellow, “The faint end of the stellar luminosity function,” Annu. Rev. Astron. Astrophys. 31, 433–471 (1993).
https://doi.org/10.1146/annurev.aa.31.090193.002245

62.H. A. Bethe, “Energy production in star,” Phys. Rev. 55, 434–456 (1939).
https://doi.org/10.1103/PhysRev.55.434

63.M. Bonneau, “Etude de quelques de proprietes cinematiques des etoiles OB,” J. Observ. 47, 251–322 (1964).

64.T. A. Brummelaar, D. P. O’ Brien, B. D. Mason, et al., “An interferometric and spectroscopic analysis of the multiple star system HD 193322,” Astron. J. 142(1), 21–62 (2011).
https://doi.org/10.1088/0004-6256/142/1/21

65.A. Burrows, W. B. Hubbard, J. I. Lunine, et al., “The theory of brown dwarfs and extrasolar giant planets,” Rev. Mod. Phys., No. 73, 719–765 (2001).

66.A. Burrows and J. Liebert, “The science of brown dwarfs,” Rev. Mod. Phys. 65(2), 301–336 (1993).
https://doi.org/10.1103/RevModPhys.65.301

67.P. Cassen, T. Guillot, and A. Quirrenbach, Extrasolar Planets, Ed. by D. Queloz, S. Udry, M. Mayor, and W. Benz (Springer, 2006).

68.G. Cayrel de Strobel, “The intrinsic width of the zero age main sequence, Astronomical Papers Dedicated to Bengt Stromgren; Proc. Symp., Copenhagen, Denmark, May 30–June 1, 1978, (Copenhagen Univ. Observ., Copenhagen, 1978), pp. 205–222.

69.G. Cayrel de Strobel, C. Bentolila, B. Hayck, and A. A. Duquennoy, “Catalogue of [Fe/H] determinations, 1984 edition,” Astron. Astrophys., Suppl. Ser. 59(1), 145–186 (1985).

70.M. Cervino and J. M. Mas-Hesse, “Metallicity effects in star-forming regions,” Astron. Astrophys. 284(3), 749–763 (1994).

71.G. Chabrier and I. Baraffe, “Theory of low-mass stars and substellar objects,” Annu. Rev. Astron. Astrophys. 38, 337–372 (2000).
https://doi.org/10.1146/annurev.astro.38.1.337

72.G. Chabrier, I. Baraffe, F. Allard, et al., “Deuterium burning in substellar objects,” Astrophys. J. 542, 119–122 (2000).
https://doi.org/10.1086/312941

73.E. Churchwell, B. L. Babler, M. R. Meade, et al., “The Spitzer/GLIMPSE surveys: a new view of the Milky Way,” Publ. Astron. Soc. Pacif. 121(877), 213–230 (2009).
https://doi.org/10.1086/597811

74.D. R. Ciardi, G. T. van Belle, A. F. Boden, et al., “The angular diameter of α Bootis,” Astrophys. J. 659(2), 1623–1628 (2007).
https://doi.org/10.1086/512077

75.D. D. Clayton, Principles of Stellar Evolution and Nucleosynthesis (McGraw-Hill, New York, 1968).

76.Z. Cvetkovic and S. Ninkovic, “On the component masses of visual binaries,” Serbian Astron. J., No. 180, 71–80 (2010).

77.T. M. Dame, H. Ungerchts, R. S. Cohen, et al. “A composite CO survey of the entire Milky Way,” Astrophys. J. 322(2), 706–720 (1987).
https://doi.org/10.1086/165766

78.J. Davis, M. J. Ireland, J. R. North, et al., “The angular diameter and fundamental parameters of Sirius A,” Publ. Astron. Soc. Au. 28(1), 58–65 (2011).
https://doi.org/10.1071/AS10010

79.J. Davis, A. P. Jacob, J. G. Robertson, et al., “Observations of the pulsation of the cepheid 1 Car with the Sydney University Stellar Interferometer,” Mon. Not. R. Astron. Soc. 394(3), 1620–1630 (2009).
https://doi.org/10.1111/j.1365-2966.2009.14433.x

80.K. S. De Boer and W. Seggewiss, Stars and Stellar Evolution (EDP Sciences, Les Ulis, 2008).

81.H. M. Dyck, J. A. Benson, and G. T. van Belle, “Radii and effective temperatures for K and M giants and supergiants,” Astron. J. 111, 1705–1712 (1996).
https://doi.org/10.1086/117910

82.H. M. Dyck, G. T. van Belle, and J. A. Benson, “Angular diameters and effective temperatures of carbon stars,” Astron. J. 112, 294–300 (1996).
https://doi.org/10.1086/118014

83.H. M. Dyck, G. T. van Belle, and R. R. Thomspon, “Radii and effective temperatures for K and M giants and supergiants. II,” Astron. J. 116(2), 981–986 (1998).
https://doi.org/10.1086/300453

84.O. J. Eggen, “The astrometric and kinematic parameters of the Sirius and Hyades superclusters,” Astron. J. 89(9), 1350–1357 (1984).
https://doi.org/10.1086/113634

85.O. J. Eggen, “The Sirius supercluster in the FK5,” Astron. J. 104(4), 1493–1504 (1992).
https://doi.org/10.1086/116334

86.N. N. Evsukov, V. A. Zakhozhaj, and V. A. Psaryov, “Planetary systems of the Galaxy,” Odessa Astron. Publ. 14, 205–207 (2001).

87.D. A. Fischer and J. Valenti, “The planet-metallicity correlation,” Astrophys. J. 622, 1102–1117 (2005).
https://doi.org/10.1086/428383

88.A. Fowler and F. Hoyle, “Star formation,” Roy. Observ. Bull. 67, 301–320 (1963).

89.C. Francis and E. Anderson, “Galactic spiral structure,” Proc. Roy. Soc. London A, No. 465, 3425–3446 (2009).

90.J. Gaustad, “The opacity of diffuse cosmic matter and the early stages of star formation,” Astrophys. J. 138(4), 1050–1070 (1963).
https://doi.org/10.1086/147705

91.W. Gliese, “Katalog der Sterne näher als 20 Parsek für 1950.0,” Inst. Heidelb. Mitt. A, No. 8, 1–90 (1957).

92.W. Gliese, Catalogue of Nearby Stars (Braun, Karlsruhe, 1969).

93.W. Gliese, “Smethell’s stars nearer than 25 parsecs,” Astron. Astrophys. Suppl. Ser. No. 44, 131–135 (1981).

94.W. Gliese and H. Jahreiss, “Nearby star data published 1969–1978,” Astron. Astrophys. Suppl. Ser., No. 38, 423–448 (1979).

95.W. Gliese and H. Jahreiss, “Catalogue of nearby stars: 3rd edition,” in Data Centre CD-ROM. Selected Astronomical Catalogs (1993), vol. 1.

96.P. Goldreich and D. Lynden-Bell, “Gravitational stability of uniformly rotating disk,” Mon. Not. R. Astron. Soc. 130(2–3), 97–124 (1965).

97.A. Gould, J. N. Bahcall, and C. Flynn, “Disk M dwarf luminosity function from Hubble space telescope star counts,” Astrophys. J. 465(2), 759–768 (1996).
https://doi.org/10.1086/177460

98.P. Guillout, M. F. Sterzik, J. H. M. Schmitt, et al., “Discovery of a late-type stellar population associated with the Gould Belt,” Astron. Astrophys. 337(1), 113–124 (1998).

99.N. G. Guseva, L. N. Kolesnic, and M. D. Metreveli, “Stellar statistische Untersuchungen in der Sonnenumgebung,” Astron. Nachr. 304(1), 41–44 (1983).
https://doi.org/10.1002/asna.2113040108

100.T. J. Henry and D. W. McCarthy, “A systematic search for brown dwarfs orbiting nearby stars,” Astrophys. J. 350(1), 334–347 (1990).
https://doi.org/10.1086/168387

101.F. Hoyle, “On the fragmentation of gas clouds into galaxies and stars,” Astrophys. J. 118(3), 512–528 (1953).

102.W. B. Hubbard, Planetary Interiors (Van Nostrand Reinhold, New York, 1984).

103.W. B. Hubbard, J. I. Lunine, D. Saumon, et al., “Ignition of deuterium in low-mass brown dwarfs,” Astron. Astrophys., Suppl. Ser., No. 185, 9006–9012 (1994).

104.C. A. Hummel, J. T. Armstrong, D. F. Buscher, et al., “Orbits of small angular scale binaries resolved with the Mark III interferometer,” Astron. J. 110, 376–390 (1995).
https://doi.org/10.1086/117528

105.H. Jahreiss and R. Wielen, “Leuchkraftfunktion und Massendichte der Sonnenhen Sterne,” Mitt. Astron. Ges, No. 35, 212–214 (1974).

106.L. F. Jenkins, General Catalogue of Trigonometric Stellar Parallaxes (Conn. Gale Univ. Observ., New Haven, 1952).

107.L. F. Jenkins, Supplement to the General Catalogue of Trigonometric Stellar Parallaxes (Yale Univ., New Haven, 1963).

108.P. Kamp, “Stars nearer than five parsecs,” Publ. Astron. Soc. Pacif. 65(383), 73–77 (1953).
https://doi.org/10.1086/126538

109.P. Kamp, “Stars nearer than five parcecs,” Publ. Astron. Soc. Pacif. 81(478), 5–10 (1969).
https://doi.org/10.1086/128730

110.P. Kamp, “The nearby stars,” Annu. Rev. Astron. Astrophys., 9, 103–126 (1971).
https://doi.org/10.1146/annurev.aa.09.090171.000535

111.J. O. Kapteyn, “The luminosity curve,” Astron. Nachr., 183, 312–331 (1910).

112.J. C. Kapteyn and P. J. Van Rhijn, “On the distribution of the stars in space especially in the high galactic latitudes,” Astrophys. J., No. 52, 23–38 (1920).

113.P. Kervella, A. Marand, B. Pichon, et al., “The radii of the nearby K5V and K7V stars 61 Cyg A & B—CHARA/FLUOR interferometry and CESAM2k modeling,” Astron. Astrophys. 488, 667 (2008).
https://doi.org/10.1051/0004-6361:200810080

114.N. V. Kharchenko, A. E. Piskunov, S. Roser, et al., “Astrophysical parameters of galactic open clusters,” Astron. Astrophys. 438(3), 1163–1173 (2005).
https://doi.org/10.1051/0004-6361:20042523

115.J. D. Kirkpatrick, I. N. Reid, J. Liebert, et al., “Dwarfs cooler than M: the definition of spectral type L using discoveries from the 2 Micron All-Sky Survey (2MASS),” Astrophys. J. 519, 802–833 (1999).
https://doi.org/10.1086/307414

116.P. Kroupa, “The initial mass function of stars: evidence for uniformity in variable systems,” Science 295(5552), 82–91 (2002).
https://doi.org/10.1126/science.1067524

117.P. Kroupa, C. A. Tout, and G. Gilmore, “The distribution of low-mass stars in the Galactic disk,” Mon. Not. R. Astron. Soc. 262, 545–587 (1993).

118.P. Kroupa and C. Weidner, “Variations of the IMF,” Astrophys. Space Sci. Lib. 327, 175–188 (2005).
https://doi.org/10.1007/978-1-4020-3407-7_34

119.K. Kuijken, “Dark matter in the Milky Way,” in Stellar Populations, Ed. by P. C. van der Kruit and G. Gilmore (IAU, Netherlands, 1995), pp. 195–204.
https://doi.org/10.1007/978-94-011-0125-7_18

120.G. P. Kuiper, “The nearest stars,” Astrophys. J. 95, 201–212 (1942).
https://doi.org/10.1086/144383

121.S. S. Kumar, “The structure of stars of very low mass,” Astrophys. J. 137(4), 1121–1125 (1963).
https://doi.org/10.1086/147589

122.R. Lallement, “Observations of the Local Interstellar Cloud,” Proc. IAU Coll., No. 166, 19–28 (1998).

123.R. Lallement, B. Y. Welsh, J. L. Vergely, et al., “3D mapping of the dense interstellar gas around the Local Bubble,” Astron. Astrophys. 411, 447–464 (2003).
https://doi.org/10.1051/0004-6361:20031214

124.B. F. Lane, A. F. Boden, and S. R. Kulkarni, “Interferometric measurement of the angular sizes of dwarf stars in the spectral range K3-M5,” Astrophys. J. 551, 81–83 (2001).
https://doi.org/10.1086/319849

125.L. Lepine, “Nearby stars from the Lspm-north proper-motion catalog. I. Main-sequence, dwarfs and giants within 33 parsecs of the Sun,” Astron. J. 130, 1680–1692 (2005).
https://doi.org/10.1086/432792

126.E. S. Levine, L. Blitz, and C. Heiles, “The spiral structure of the outer Milky Way in hydrogen,” Science 312(5781), 1773–1777 (2006).
https://doi.org/10.1126/science.1128455

127.P. O. Lindblad, “On the rotation of Gould’s Belt,” Astron. Astrophys. 363(1), 154–158 (2000).

128.C. Low and D. Linden-Bell, “The minimum Jeans mass or when fragmentation must stop,” Mon. Not. R. Astron. Soc. 176(2), 367–390 (1976).

129.R. E. Luck and U. Heiter, “Stars within 15 parsecs: abundances for a northern sample,” Astron. J. 129, 1063–1083 (2005).
https://doi.org/10.1086/427250

130.W. J. Lyuten, “On distribution of absolute magnitudes in the vicinity of the Sun,” Mon. Not. R. Astron. Soc. 98(8), 677–680 (1938).

131.W. J. Luyten, “The stars of large proper motion and the luminosity function,” Publ. Observ. Minnesota II, No. 7, 121–159 (1939).

132.W. J. Luyten, “A new determination of the luminosity function,” Mon. Not. R. Astron. Soc. 139, 221–224 (1968).

133.D. Lynden-Bell, Dynamical Structure and Evolution of Stellar Systems (Geneva Observ., Saas Fee, 1987).

134.V. V. Makarov, “The 100 brightest X-ray stars within 50 parsecs of the Sun,” Astron. J. 126(4), 1996–2003 (2003).
https://doi.org/10.1086/378164

135.E. E. Mamajek, M. Meyer, and J. Liebert, “Post-T Tauri stars in the nearest OB association,” Astron. J. 124(3), 1670–1694 (2002).
https://doi.org/10.1086/341952

136.E. L. Martin, G. Basri, X. Delfosse, et al., “Keck HIRES spectra of the brown dwarf DENIS-P J1228.2-1547,” Astron. Astrophys. Lett. 327, L29–L32 (1997).

137.H. A. McAlister, T. A. Brummelaar, D. R. Gies, et al., “First results from the CHARA array. I. An interferometric and spectroscopic study of the fast rotator α Leonis (Regulus),” Astrophys. J. 628, 439–452 (2005).
https://doi.org/10.1086/430730

138.S. W. McCuskey, “The stellar luminosity function,” Vistas Astron. 7, 141–171 (1965).
https://doi.org/10.1016/0083-6656(66)90007-9

139.M. Miyamoto, M. Soma, and M. Yoshizawa, “Is the vorticity vector of the Galaxy perpendicular to the galactie plane? II. Kinematics of the galactic warp,” Astron. J. 105(6), 2138–2147 (1993).
https://doi.org/10.1086/116592

140.S. Mondal and T. Chandrasekhar, “Angular diameter measurements of evolved variables by lunar occultations at 2.2 and 3.8 microns,” Astron. J. 130(2), 842–852 (2010).
https://doi.org/10.1086/430457

141.J. D. Monnier, M. Zhao, E. Pedretti, et al., “Imaging the surface of Altair,” Science 317, 342 (2007).
https://doi.org/10.1126/science.1143205

142.D. Mozurkewich, J. T. Armstrong, and R. B. Hindsley, “Angular diameters of stars from the Mark III optical interferometer,” Astron. J. 126, 2502–2520 (2003).
https://doi.org/10.1086/378596

143.J. R. North, J. Davis, and T. R. Bedding, “The radius and mass of the subgiant star B Hyi from interferometry and astroseismology,” Mon. Not. R. Astron. Soc. Lett. 380(1), L80–L83 (2007).
https://doi.org/10.1111/j.1745-3933.2007.00355.x

144.J. R. North, J. Davis, P. G. Tuthill, et al., “Orbital solution and fundamental parameters of σ Scorpii,” Mon. Not. R. Astron. Soc. 380(3), 1276–1284 (2007).
https://doi.org/10.1111/j.1365-2966.2007.12188.x

145.C. A. Olano, “On a model of local gas related to Gould’s Belt,” Astron. Astrophys. 112(1), 195–208 (1982).

146.C. A. Olano, “The origin of the local system of gas and stars,” Astron. J. 121, 295–308 (2001).
https://doi.org/10.1086/318011

147.J. H. Oort, “Observational evidence confirming Lindblad’s hypothesis of a rotation of the galactic system,” Bull. Astron. Inst. Neth. 3, 275–282 (1927).

148.B. R. Oppenheimer, D. A. Golimowski, and S. T. Durrance, “A coronagraphic survey for companions of stars within 8 parsecs,” Astron. J. 121, 2189–2211 (2001).
https://doi.org/10.1086/319941

149.C. A. Perrot and I. A. Grenier, “3D dynamical evolution of the interstellar gas in the Gould Belt,” Astron. Astrophys. 404, 519–531 (2003).
https://doi.org/10.1051/0004-6361:20030477

150.C. L. Perry and L. Johnson, “A photometric map of interstellar reddening within 300 parsecs,” Astrophys. J. Suppl. Ser. 50, 451–515 (1982).
https://doi.org/10.1086/190833

151.C. L. Perry, L. Johnson, and D. L. Crawford, “A photometric map of interstellar reddening within 100 pc,” Astron. J. 87, 1751–1774 (1982).
https://doi.org/10.1086/113265

152.N. Phan-Bao, F. Crifo, X. Delfosse, et al., “New neighbors V. 35 DENIS late-M dwarfs between 10 and 30 parsecs,” Astron. Astrophys. 401, 959–974 (2003).
https://doi.org/10.1051/0004-6361:20030188

153.A. E. Piskunov, N. V. Kharchenko, S. Roser, et al., “Revisiting the population of Galactic open clusters,” Astron. Astrophys. 445(2), 545–565 (2006).
https://doi.org/10.1051/0004-6361:20053764

154.W. G. L. Poppel and P. Marronetti, “The kinematical characteristics of the CNM at |b| ≥ 10° and the hypothesis of a local explosive event,” Astron. Astrophys. 358(1), 299–309 (2000)

155. Publications of United States Naval Observatory: 2nd Ser. (Washington, 1970), vol. 20, part 3.

156. Publications of United States Naval Observatory: 2nd Ser. (Washington, 1972), vol. 20, part 6.

157. Publications of United States Naval Observatory: 2nd Ser. (Washington, 1975), vol. 24, part 1.

158. Publications of United States Naval Observatory: 2nd Ser. (Washington, 1976), vol. 24, part 3.

159. Publications of United States Naval Observatory: 2nd Ser. (Washington, 1983), vol. 24, part 7.

160.S. Redfield and J. L. Linsky, “The three-dimensional structure of the warm local interstellar medium. II. The Colorado model of the local interstellar cloud,” Astrophys. J. 534(2), 825–837 (2000).
https://doi.org/10.1086/308769

161.M. J. Rees, “Opacity-limited hierarchical fragmentation and the masses of protostars,” Mon. Not. R. Astron. Soc. 176(3), 483–486 (1976).

162.I. N. Reid, K. L. Cruz, A. J. Burgasser, et al., “L-dwarf binaries in the 20-parsec sample,” Astron. J. 135, 580–587 (2008).
https://doi.org/10.1088/0004-6256/135/2/580

163.I. N. Reid and J. E. Gizis, “Low-mass binaries and the stellar luminosity function,” Astron. J. 113(6), 2246–2259 (1997).
https://doi.org/10.1086/118436

164.A. Richichi and G. Calamai, “Infrared high angular resolution measurements of stellar sources. V. Angular diameters of ten late-type stars,” Astron. Astrophys. 380, 526–532 (2001).
https://doi.org/10.1051/0004-6361:20011451

165.A. Richichi, A. di Giacomo, F. Lisi, et al., “Accurate angular diameter and effective temperature of seven latetype stars,” Astron. Astrophys. 265(2), 535–546 (1992).

166.A. Richichi, F. Lisi, and A. di Giacomo, “Lunar occultations of southern near infrared stellar sources,” Astron. Astrophys. 154(1), 149–166 (1992).

167.A. Richichi and I. Percheron, “First results from the ESO VLTI calibrators program,” Astron. Astrophys. 434, 1201–1209 (2005).
https://doi.org/10.1051/0004-6361:20042257

168.A. Richichi, I. Percheron, and J. Davis, “A list of bright interferometric calibrators measured at the European Southern Observatory Very Large Telescope Interferometer,” Mon. Not. R. Astron. Soc. 399(1), 399–409 (2009).
https://doi.org/10.1111/j.1365-2966.2009.15289.x

169.A. Richichi, S. Ragland, and L. Fabbroni, “Infrared high angular resolution measurements of stellar sources. III. Angular diameters and effective temperatures of eleven late-type giants,” Astron. Astrophys. 330, 578–584 (1998).

170.A. Richichi, S. Ragland, B. Stecklum, et al., “Infrared high angular resolution measurements of stellar sources. IV. Angular diameters and effective temperatures of fifteen late-type stars,” Astron. Astrophys. 338, 527–534 (1998).

171.M. Salaris and S. Cassisi, Evolution of Stars and Stellar Populations (Wiley, England, 2005).
https://doi.org/10.1002/0470033452

172.E. E. Salpeter, “The luminosity function and stellar evolution,” Astrophys. J. 121, 161–167 (1955).
https://doi.org/10.1086/145971

173.F. Schlesinger, General Catalogue of Stellar Parallaxes (Yale Univ. Observ., 1924).

174.F. Schlesinger and L. Jenkins, General Catalogue of Stellar Parallaxes (Yale Univ. Observ., 1935).

175.F. H. Seares, “The form of the luminosity function,” Astrophys. J. 59, 310–338 (1924).
https://doi.org/10.1086/142820

176.D. M. Sfeir, R. Lallement, F. Grifo, et al., “Mapping the contours of the Local Bubble: preliminary results,” Astron. Astrophys. 346(3), 785–797 (1999).

177.F. H. Shu, F. C. Adams, and S. Lizano, “Star formation in molecular clouds. Observation and theory,” Annu. Rev. Astron. Astrophys. 25, 23–81 (1987).
https://doi.org/10.1146/annurev.aa.25.090187.000323

178.J. Silk, “On the fragmentation of cosmic gas clouds. II. Opacity-limited star formation,” Astrophys. J. 214(1), 152–160 (1977).
https://doi.org/10.1086/155240

179.E. M. Sion, J. B. Holberg, T. D. Oswalt, et al., “The white dwarfs within 20 parsecs of the Sun: kinematics and statistics,” Astron. J. 138, 1681–1689 (2009).
https://doi.org/10.1088/0004-6256/138/6/1681

180.R. K. Smith and D. P. Cox, “Multiple supernova remnant models of the Local Bubble and the soft X-ray background,” Astrophys. J. Suppl. Ser. 134(2), 283–309 (2001).
https://doi.org/10.1086/320850

181.S. W. Stahler, “Deuterium and the stellar birthline,” Astrophys. J. 332, 804–825 (1988).
https://doi.org/10.1086/166694

182.S. A. Stern and H. F. Levinson, “Regarding the criteria for planethood and proposed planetary classification schemes,” Highlights Astron. 12, 205–213 (2002).

183.D. J. Stevenson, “Brown and black dwarfs-their structure, evolution and contribution to the missing mass,” Publ. Astron. Soc. Au. 3, 227–228 (1978).

184.D. J. Stevenson, “High mass planets and low mass stars. Astrophysics of brown dwarfs,” Proc. Second George Mason Fall Workshop in Astrophysics, Fairfax, Va., USA, October 14–15, 1985 (Cambridge Univ. Press, Cambridge, 1986), pp. 218–232.

185.D. J. Stevenson, “The search for brown dwarfs,” Annu. Rev. Astron. Astrophys. 29, 163–193 (1991).
https://doi.org/10.1146/annurev.aa.29.090191.001115

186.R. S. Stobie, K. Ishida, and J. A. Peacock, “Distance errors and the stellar luminosity function,” Mon. Not. R. Astron. Soc. 238(2), 709–727 (1989).

187.R. Stothers and J. A. Frogel, “The local complex of O and B stars. I. Distribution of stars and interstellar dust,” Astron. J. 79, 456–471 (1974).
https://doi.org/10.1086/111565

188.W. J. Tango, J. Davis, A. P. Jacob, et al., “A new determination of the orbit and masses of the Be binary system δ Scorpii,” Mon. Not. R. Astron. Soc. 396(2), 842–848 (2009).
https://doi.org/10.1111/j.1365-2966.2009.14272.x

189.J. Tarter, Ph.D. Thesis (Univ. Calif, Berkeley, 1975).

190.A. Tej and T. Chandrasekhar, “Angular diameter and effective temperature of a sample of 15 M giants at 2.2 μm from lunar occultation observations,” Mon. Not. R. Astron. Soc. 317(3), 687–696 (2010).
https://doi.org/10.1046/j.1365-8711.2000.03672.x

191. The HIPPARCOS and TYCHO Catalogues (ESA Publications Division, Noordwijk, Netherlands, 1997).

192.C. G. Tinney, I. N. Reid, J. Gizis, et al., “Trigonometric parallaxes and the HR diagram at the bottom of the main sequence,” Astron. J. 110, 3014–3034 (1995).
https://doi.org/10.1086/117743

193.B. M. Tinsley, “Evolutions of the stars and gas in galaxies,” Fund. Cosm. Phys. 5(4), 287–388 (1980).

194.S. Udry, A. Eggenberger, M. Mayor, et al., “Planets in multiple-star systems: properties and detections,” RevMexAA (Serie de Conferencias) 21, 207–214 (2004).

195.J. A. Valenti and D. A. Fischer, “Spectroscopic properties of cool stars (SPOCS). I. 1040 F, G, and K dwarfs from Keck, Lick, and AAT planet search programs,” Astrophys. J. Suppl. Ser. 159, 141–166 (2005).
https://doi.org/10.1086/430500

196.L. B. van den Hoek, On the Chemical and Spectro-Photometric Evolution of Nearby Galaxies (Anton Pannekoek Astron. Institute, Amsterdam, 1997).

197.H. Vogt, “Die Leuchtkraft-Masse-Beziehung der Sterne,” Astron. Nachr. 233, 13–14 (1928).
https://doi.org/10.1002/asna.19282330104

198.G. Weigelt, D. Mourard, L. Abe, et al., “G12T/REGAIN spectro-interferometry with a new infrared beam combiner,” Proc. SPIE 4006, 617–626 (2000).
https://doi.org/10.1117/12.390261

199.T. N. G. Westin, “The local system of early type stars. Spatial extent and kinematics,” Astrophys. J. Suppl. Ser. 60(1), 99–134 (1985).

200.N. M. White and B. H. Feierman, “A catalog of stellar angular diameters measured by lunar occultation,” Astron. J. 94, 751–770 (1987).
https://doi.org/10.1086/114513

201.R. Wichmann, J. H. M. M. Schmitt, and S. Hubrig, “Nearby young stars,” Astron. Astrophys. 399(2), 983–994 (2003).
https://doi.org/10.1051/0004-6361:20021867

202.R. Wooley, S. B. Pocock, E. A. Epps, and R. Flinn, “Catalogue of stars within twenty-five parsecs of the Sun,” Roy. Obs. Bull., No. 5, 228 (1970).

203.V. A. Zakhozhaj, “The distribution of multiple systems in the neighborhood of the Sun,” Astron. Astrophys. Transact. 7, 167–170 (1995).
https://doi.org/10.1080/10556799508205412

204.V. A. Zakhozhaj, “Astrometrical method of searching for cool satellites of stars. Results and perspectives,” in Extension and Connection of Reference Frames Using Ground Based CCD Technique (Nikolaev, 2001), pp. 274–283.

205.V. A. Zakhozhay, “Evidence of recent changes in the local galactic IMF of stars and substars,” Astrophys. Space Sci. 315, 13–19 (2008).
https://doi.org/10.1007/s10509-008-9782-y

206.H. S. Zapolsky and E. E. Salpeter, “The mass-radius relation for cold spheres of low mass,” Astrophys. J. 158, 809–813 (1969).
https://doi.org/10.1086/150240

207.B. Zuckerman and I. Song, “The minimum Jeans mass, brown dwarf companion IMF, and predictions for detection of Y-type dwarfs,” Astron. Astrophys. 493(3), 1149–1154 (2009).
https://doi.org/10.1051/0004-6361:200810038