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Numerical Study of Precession/Nutation Theory

Research Project

Project/Area Number 12640245
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Astronomy
Research InstitutionNational Astronomical Observatory

Principal Investigator

FUKUSHIMA Toshio  National Astronomical Observatory, Public Relation Center, Professor, 天文情報公開センター, 教授 (70231735)

Project Period (FY) 2000 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,900,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsPrecession / Nutation / VLBI / Planetary Precession / Lunisolar Precession / Geodesic Precession / Nonlinear Harmonic Analysis / Dynamical Flattening / 巨大地震 / 自由コア章動 / 数値的畳み込み / 非回転原点 / 非剛体効果 / 変換関数
Research Abstract

We developed a new nutation theory of a nonrigid Earth SF2001, based on the RDAN as that for a rigid Earth, adopting the SOS model of nonrigidity, and fitted to the VLBI observation data for the period 1979-2000 (Shirai and Fukushima 2001). As its by-products, we obtained the precise estimates of the dynamical flattening of the Earth and some other basic geophysical constants.
Next, we created a new method of nonlinear harmonic analysis (Harada and Fukushima 2003), which enables us to decompose a complicated time series into a quadratic polynomial and arbitrary number of waves of unknown frequencies. Applying this powerful technique to the direction vector of the orbital angular momentum of the Earth-Moon barycenter around the Sun in the latest lunar/planetary ephemeris, DE405, we extracted the secular variation of the two angles specifying the ecliptic(Harada and Fukushima 2004). This formual, called HF2003 is the latest and most precise determination of the planetary precession.
Finally, we obtained a high precision estimate of the secular variation of the Earth's figure axis in space from the above VLBI data by removing the periodic effects with the aid of the SF2001 nutation theory and by separating the effects of planetary precession with the usage of HF2003 planetary precession formula (Fukushima 2003).

Report

(5 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Shirai, T., Fukushima, T.: "Construction of a New Forced Nutation Theory of the Nonrigid Earth"Astronomical Journal. 121. 3270-3283 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fukushima, T.: "Global Rotation of the Nonrotating Origin"Astronomical Journal. 122. 482-486 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fukushima, T.: "A New Precession Formula"Astronomical Journal. 126. 494-534 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Harada, W., Fukushima, T.: "Harmonic Decomposition of Time Ephemeris TE405"Astronomical Journal. 126. 2557-2561 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Harada, W., Fukushima, T.: "New Determination of Planetary Precession"Astronomical Journal. 127. 531-538 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shirai, T., Fukushima, T.: "Construction of a New Forced Theory of the Nonrigid Earth"Astron.J.. 121. 3270-3283 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fukushima, T.: "Global Rotation of the Nonrotating Origin"Astron.J.. 122. 482-86 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fukushima, T.: "A New Precession Formula"Astron.J.. 126. 494-534 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Harada, W., Fukushima, T.: "Harmonic Decomposition of Time Ephemeris TE405"Astron.J.. 126. 2557-2561 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Harada, W., Fukushima, T.: "New Determination of Planetary Precession"Astron.J.. 127. 531-538 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fukushima, T.: "A New Precession Formula"Astronomical Journal. 126. 494-534 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Harada, W., Fukushima, T.: "Harmonic Decomposition of Time Ephemeris TE405"Astronomical Journal. 126. 2557-2561 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Harada, W., Fukushima, T.: "New Determination of Planetary Precession"Astronomical Journal. 127. 531-538 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Fukushima: "New Precession Formula"Astronomical Journal. July(印刷中). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Fukushima, T: "Global Rotation of Non-Rotating Origin"Astronomical J.. 122. 482 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Fukushima, T: "Longitude Origins on Moving Equator"J.Geodetic Society Japan. 47. 213 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shirai, T., Fukushima, T.: "Detection of Excitations of Free Core Nutation of the Earth and their Concurrence with Huge Earthquakes"Geophys.Res.Lett.. 28. 3553 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shirai, T., Fukushima, T.: "Construction of New Forced Nutation Theory of Non-Rigid Earth"Astronomical J.. 121. 3270 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shirai, T., Fukushima, T.: "Did Huge Earthquakes excite Free-Core Nutation of the Earth?"J.Geodetic Society Japan. 47. 198 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shirai,T.& Fukushima,T.: "Numerical Convolution in the Time Domain and its Application to the Nonrigiol-Earth Nutation Theory"Astron.J.. 119. 2475-2480 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shirai,T.& Fukushima,T.: "Did Huge Earthquakes Excited Free Core Nutation?"J.Geod.Soc.Japan. 47,No.1(未定). (2001)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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