Abstract <p>Based on a sample of masers, we have solved the basic kinematic equations with the inclusion of the Galactic rotation parameters and the peculiar solar velocity as the sought-for unknowns. Based on a spectral analysis, we have obtained the following estimates: <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(|f|_{R,\theta}=(7.0,5.1)\pm(1.2,1.4)\)</EquationSource> <!--Letters2570042Bobylev-m1--> </InlineEquation> km s<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({}^{-1}\)</EquationSource> <!--Letters2570042Bobylev-m2--> </InlineEquation>, the corresponding wavelengths <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\lambda_{R,\theta}=(1.9,1.7)\pm(0.4,0.7)\)</EquationSource> <!--Letters2570042Bobylev-m3--> </InlineEquation> kpc, and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\chi_{\odot}={-}140^{\circ}\pm 15^{\circ}\)</EquationSource> <!--Letters2570042Bobylev-m4--> </InlineEquation>. We have confirmed the presence of periodic perturbations in the vertical maser velocities with an amplitude <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(|f|_{W}=3.1\pm 1.4\)</EquationSource> <!--Letters2570042Bobylev-m5--> </InlineEquation> km s<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({}^{-1}\)</EquationSource> <!--Letters2570042Bobylev-m6--> </InlineEquation> and a wavelength <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\lambda=1.9\pm 0.8\)</EquationSource> <!--Letters2570042Bobylev-m7--> </InlineEquation> kpc. We show that the velocity perturbations <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(f_{R}\)</EquationSource> <!--Letters2570042Bobylev-m8--> </InlineEquation> and <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(f_{\theta}\)</EquationSource> <!--Letters2570042Bobylev-m9--> </InlineEquation> can have both the same and opposite signs. Therefore, we have obtained a large spread of estimates. For example, if <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(f_{R}\)</EquationSource> <!--Letters2570042Bobylev-m10--> </InlineEquation> and <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(f_{\theta}\)</EquationSource> <!--Letters2570042Bobylev-m11--> </InlineEquation> have the same signs, then <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\Omega_{p}=25.8\pm 2.0\)</EquationSource> <!--Letters2570042Bobylev-m12--> </InlineEquation> km s<InlineEquation ID="IEq13"> <EquationSource Format="TEX">\({}^{-1}\)</EquationSource> <!--Letters2570042Bobylev-m13--> </InlineEquation> kpc<InlineEquation ID="IEq14"> <EquationSource Format="TEX">\({}^{-1}\)</EquationSource> <!--Letters2570042Bobylev-m14--> </InlineEquation> and <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(R_{\textrm{cor}}=9.1\pm 0.8\)</EquationSource> <!--Letters2570042Bobylev-m15--> </InlineEquation> kpc, while if <InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(f_{R}\)</EquationSource> <!--Letters2570042Bobylev-m16--> </InlineEquation> and <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(f_{\theta}\)</EquationSource> <!--Letters2570042Bobylev-m17--> </InlineEquation> have opposite signs, then <InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(\Omega_{p}=35.4\pm 2.0\)</EquationSource> <!--Letters2570042Bobylev-m18--> </InlineEquation> km s<InlineEquation ID="IEq19"> <EquationSource Format="TEX">\({}^{-1}\)</EquationSource> <!--Letters2570042Bobylev-m19--> </InlineEquation> kpc<InlineEquation ID="IEq20"> <EquationSource Format="TEX">\({}^{-1}\)</EquationSource> <!--Letters2570042Bobylev-m20--> </InlineEquation> and <InlineEquation ID="IEq21"> <EquationSource Format="TEX">\(R_{\textrm{cor}}=6.8\pm 0.8\)</EquationSource> <!--Letters2570042Bobylev-m21--> </InlineEquation> kpc.</p>

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The Spiral Pattern Speed in the Milky Way Galaxy

  • V. V. Bobylev,
  • A. T. Bajkova,
  • A. A. Smirnov

摘要

Abstract

Based on a sample of masers, we have solved the basic kinematic equations with the inclusion of the Galactic rotation parameters and the peculiar solar velocity as the sought-for unknowns. Based on a spectral analysis, we have obtained the following estimates: \(|f|_{R,\theta}=(7.0,5.1)\pm(1.2,1.4)\) km s \({}^{-1}\) , the corresponding wavelengths \(\lambda_{R,\theta}=(1.9,1.7)\pm(0.4,0.7)\) kpc, and \(\chi_{\odot}={-}140^{\circ}\pm 15^{\circ}\) . We have confirmed the presence of periodic perturbations in the vertical maser velocities with an amplitude \(|f|_{W}=3.1\pm 1.4\) km s \({}^{-1}\) and a wavelength \(\lambda=1.9\pm 0.8\) kpc. We show that the velocity perturbations \(f_{R}\) and \(f_{\theta}\) can have both the same and opposite signs. Therefore, we have obtained a large spread of estimates. For example, if \(f_{R}\) and \(f_{\theta}\) have the same signs, then \(\Omega_{p}=25.8\pm 2.0\) km s \({}^{-1}\) kpc \({}^{-1}\) and \(R_{\textrm{cor}}=9.1\pm 0.8\) kpc, while if \(f_{R}\) and \(f_{\theta}\) have opposite signs, then \(\Omega_{p}=35.4\pm 2.0\) km s \({}^{-1}\) kpc \({}^{-1}\) and \(R_{\textrm{cor}}=6.8\pm 0.8\) kpc.