<p>The discovery of hot Jupiters has challenged classical planet formation theories. Although various formation mechanisms have been proposed, their relative contributions remain unclear. Furthermore, hot Jupiters offer a unique opportunity to test tidal theory and measure the fundamental tidal quality factor <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({Q}_{* }^{{\prime} }\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mrow> <mi>Q</mi> </mrow> <mrow> <mo>*</mo> </mrow> <mrow> <mo>′</mo> </mrow> </msubsup> </math></EquationSource> </InlineEquation>, which is yet to be well constrained. Here we use a sample of 123 hot Jupiters around single Sun-like stars and find that the slope of the decline in frequency with age abruptly changes at around 2 Gyr, indicative of the presence of two populations of hot Jupiters that formed at different timescales. We use a tidal evolution model to infer a value of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\log {Q}_{* }^{{\prime} } \approx5.{7}_{-0.3}^{+0.4}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>log</mi> <msubsup> <mrow> <mi>Q</mi> </mrow> <mrow> <mo>*</mo> </mrow> <mrow> <mo>′</mo> </mrow> </msubsup> <mo>≈</mo> <mn>5</mn> <mo>.</mo> <msubsup> <mrow> <mn>7</mn> </mrow> <mrow> <mo>−</mo> <mn>0.3</mn> </mrow> <mrow> <mo>+</mo> <mn>0.4</mn> </mrow> </msubsup> </mrow> </math></EquationSource> </InlineEquation> for Sun-like stars, which reproduces well the number of observed hot Jupiters undergoing orbital decay. We also constrain the relative importance of the two formation channels: most hot Jupiters form within a few hundred million years through ‘early’ models (for example, in situ formation, disk migration, planet–planet scattering and Kozai–Lidov interactions), whereas a substantial portion (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(3{8}_{-14}^{+16} \%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>3</mn> <msubsup> <mrow> <mn>8</mn> </mrow> <mrow> <mo>−</mo> <mn>14</mn> </mrow> <mrow> <mo>+</mo> <mn>16</mn> </mrow> </msubsup> <mi>%</mi> </mrow> </math></EquationSource> </InlineEquation>) forms late with a timescale of several billion years, mainly thorough secular chaotic migration. This result is supported by the observed obliquity distribution of ‘late-arriving’ hot Jupiters. Our findings provide a unified framework that reconciles hot Jupiter demographics and long-term evolution with multichannel formation.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

The origin and tidal evolution of hot Jupiters constrained by a broken age–frequency relation

  • Di-Chang Chen,
  • Ji-Wei Xie,
  • Ji-Lin Zhou,
  • Fei Dai,
  • Bo Ma,
  • Songhu Wang,
  • Chao Liu

摘要

The discovery of hot Jupiters has challenged classical planet formation theories. Although various formation mechanisms have been proposed, their relative contributions remain unclear. Furthermore, hot Jupiters offer a unique opportunity to test tidal theory and measure the fundamental tidal quality factor \({Q}_{* }^{{\prime} }\) Q * , which is yet to be well constrained. Here we use a sample of 123 hot Jupiters around single Sun-like stars and find that the slope of the decline in frequency with age abruptly changes at around 2 Gyr, indicative of the presence of two populations of hot Jupiters that formed at different timescales. We use a tidal evolution model to infer a value of \(\log {Q}_{* }^{{\prime} } \approx5.{7}_{-0.3}^{+0.4}\) log Q * 5 . 7 0.3 + 0.4 for Sun-like stars, which reproduces well the number of observed hot Jupiters undergoing orbital decay. We also constrain the relative importance of the two formation channels: most hot Jupiters form within a few hundred million years through ‘early’ models (for example, in situ formation, disk migration, planet–planet scattering and Kozai–Lidov interactions), whereas a substantial portion ( \(3{8}_{-14}^{+16} \%\) 3 8 14 + 16 % ) forms late with a timescale of several billion years, mainly thorough secular chaotic migration. This result is supported by the observed obliquity distribution of ‘late-arriving’ hot Jupiters. Our findings provide a unified framework that reconciles hot Jupiter demographics and long-term evolution with multichannel formation.