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Investigation of secular increase in astronomical unit in terms of verification of gravitational theories

Research Project

Project/Area Number 21740193
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionIwate University (2011-2012)
Waseda University (2009-2010)

Principal Investigator

ARAKIDA Hideyoshi  岩手大学, 教育学部・特命研究科, 准教授 (80413970)

Project Period (FY) 2009 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords位置天文学 / 天体暦 / 天文定数 / 重力理論 / 理論天文学 / 宇宙論 / 一天文学 / 宇宙物理学 / 数理科学 / 相対論・重力波
Research Abstract

We investigated the secular increase in astronomical unit reported by Krasinsky and Brumberg from the planetary radar and spacecraft orbital tracking data, 15 +/- 4 m/century in terms of verification of gravitational theories. For this purpose, (a) we derived the approximate metric of Einstein's field equation which can describe the time variation of dark matter density in solar system, (b) we showed the method which can calculate the light/signal propagation in the time-dependent gravitational field by using the time transfer function based on Synge's world function, (c) we obtained the perturbation force due to inhomogeneous LTB model, and evaluated its effect on the planetary motion, and (d) based on the orbital angular momentum conservational law, we proposed new scenario to resolve the secular increase in astronomical unit.

Report

(5 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (34 results)

All 2013 2012 2011 2010 2009

All Journal Article (12 results) (of which Peer Reviewed: 10 results) Presentation (22 results)

  • [Journal Article] Note on the perihelion/periastron advance due to cosmological constant2013

    • Author(s)
      H. Arakida
    • Journal Title

      International Journal of Theoretical Physics

      Volume: Vol. 52 Issue: 5 Pages: 1408-1414

    • DOI

      10.1007/s10773-012-1458-2

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effect of the cosmological constant on the bending of light and the cosmological lens equation2013

    • Author(s)
      Hideyoshi Arakida, Masumi Kasai
    • Journal Title

      Procceedings of 22nd Workshop on General Relativity and Gravitation in Japan

      Volume: 22

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Effect of inhomogeneity of the Universe on a gravitationally bound local system: A no-go result for explaining the secular increase in the astronomical unit2012

    • Author(s)
      H. Arakida
    • Journal Title

      Journal of Astrophysics and Astronomy

      Volume: Vol. 33 Issue: 2 Pages: 201-211

    • DOI

      10.1007/s12036-012-9142-8

    • NAID

      120004874526

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effect of the cosmological constant on the bending of light and the cosmological lens equation2012

    • Author(s)
      H. Arakida, M. Kasai
    • Journal Title

      Physical Review D

      Volume: Vol. 85 Issue: 2 Pages: 4-4

    • DOI

      10.1103/physrevd.85.023006

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effect of inhomogeneity of the Universe on a gravitationally bound local system2012

    • Author(s)
      H.Arakida
    • Journal Title

      Journal of astrophysics and astronomy

      Volume: (掲載決定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of Time Transfer Function to McVittie Spacetime: Gravitational Time Delay and Secular Increase in Astronomical Unit2011

    • Author(s)
      H. Arakida
    • Journal Title

      General Relativity and Gravitation

      Volume: Vol. 43 Issue: 8 Pages: 2127-2139

    • DOI

      10.1007/s10714-011-1170-1

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of Time Transfer Function to McVittie Spacetime : Gravitational Time Delay and Secular Increase in Astronomical Unit2011

    • Author(s)
      H.Arakida
    • Journal Title

      General Relativity and Gravitation

      Volume: (印刷中)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Light propagation in time-dependent gravitational field2011

    • Author(s)
      H.Arakida
    • Journal Title

      Proceedingsof the 20th Workshop on General Relativity and Gravitation in Japan

      Volume: (Web掲載)

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Influence of dark matter on light propagation in solar system2010

    • Author(s)
      H. Arakida
    • Journal Title

      Advance in Space Research

      Volume: Vol. 45 Issue: 8 Pages: 1007-1014

    • DOI

      10.1016/j.asr.2009.11.012

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Influence of Dark Matter on Light Propagation in Solar System2010

    • Author(s)
      H.Arakida
    • Journal Title

      Advances in Space Research 45

      Pages: 1007-1014

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Secular Increase of the Astronomical Unit: a Possible Explanation in Terms of the Total Angular-Momentum Conservation Law2009

    • Author(s)
      T. Miura, H. Arakida, M. Kasai, S. Kuramata
    • Journal Title

      Publications of the Astronomical Society of Japan

      Volume: Vol. 61 Pages: 1247-1250

    • NAID

      10026421536

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Secular Increase of the Astronomical Unit : APossible Explanation in Terms of the Total Angular Momentum Conservation Law2009

    • Author(s)
      Miura, T., Arakida, H., Kasai, M, Kuramata, S.
    • Journal Title

      Publications of theAstronomical Society of Japan 61

      Pages: 1247-1250

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Note on the perihelion advance due to cosmological constant2013

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会2013春季年年会
    • Place of Presentation
      埼玉大学(埼玉県)
    • Related Report
      2012 Final Research Report
  • [Presentation] Note on the perihelion advance due to cosmological constant2013

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会2013年春季年会
    • Place of Presentation
      埼玉大学(埼玉県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Effect of the cosmological constant on the bending of light and the cosmological lens equation2012

    • Author(s)
      H. Arakida, M. Kasai
    • Organizer
      Resceu Symposium on General Relativity and Gravitation (JGRG22), Koshiba Hall
    • Place of Presentation
      The University of Tokyo (東京都)
    • Related Report
      2012 Final Research Report
  • [Presentation] Aで光は曲がるのか?:光の湾曲とレンズ方程式に対する宇宙定数の影響2012

    • Author(s)
      荒木田英禎, 葛西真寿
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      京都産業大学(京都府)
    • Related Report
      2012 Final Research Report
  • [Presentation] Aで光は曲がるのか?:光の湾曲とレンズ方程式に対する宇宙定数の影響2012

    • Author(s)
      荒木田英禎, 葛西真寿
    • Organizer
      日本天文学会2012年春季年会
    • Place of Presentation
      龍谷大学(京都府)
    • Related Report
      2012 Final Research Report
  • [Presentation] Effect of the cosmological constant on the bending of light and the cosmological lens equation2012

    • Author(s)
      Hideyoshi Arakida, Masumi Kasai
    • Organizer
      22nd Workshop on General Relativity and Gravitation in Japan,
    • Place of Presentation
      東京大学(東京都)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 宇宙定数による光の湾曲2011

    • Author(s)
      荒木田英禎
    • Organizer
      理論天文学宇宙物理学懇談会
    • Place of Presentation
      国立天文台
    • Year and Date
      2011-11-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] 重力場内の光・信号の時間遅れ:Time Transfer Functionによるアプローチ2011

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2011-09-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Λで光は曲がるのか?:光の湾曲とレンズ方程式に対する宇宙定数の影響2011

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2011-03-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] 宇宙定数による光の湾曲2011

    • Author(s)
      荒木田英禎
    • Organizer
      第24回理論懇シンポジウム「理論天文学・宇宙物理学の革新」
    • Place of Presentation
      国立天文台(東京都)
    • Related Report
      2012 Final Research Report
  • [Presentation] Effect of cosmological constant on light deflection2011

    • Author(s)
      H. Arakida
    • Organizer
      The 21st Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      Tohoku University (宮城県)
    • Related Report
      2012 Final Research Report
  • [Presentation] 重力場内の光・信号の時間遅れ:Time Transfer Function によるアプローチ2011

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会2011年秋季年会
    • Place of Presentation
      鹿児島大学(鹿児島県)
    • Related Report
      2012 Final Research Report
  • [Presentation] Effect of cosmological constant on light deflection2011

    • Author(s)
      Hideyoshi Arakida
    • Organizer
      JGRG21
    • Place of Presentation
      東北大学(poster)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Time Transfer FunctionのRobertson-McVittieモデルへの応用2010

    • Author(s)
      荒木田英禎
    • Organizer
      京都大学基礎物理学研究所研究会/第23回理論懇シンポジウム
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-12-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Light propagation in time-dependent gravitational field2010

    • Author(s)
      H.Arakida
    • Organizer
      Workshopon General Relativity and Gravitation in Japan
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 時間依存する時空における光/信号伝播モデル構築への試み2010

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会2010年春季年会
    • Place of Presentation
      広島大学
    • Year and Date
      2010-03-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Time Transfer Function の Robertson-McVittie モデルへの応用2010

    • Author(s)
      荒木田英禎
    • Organizer
      京都大学基礎物理学研究所研究会/第23回理論懇シンポジウム「林忠四郎先生と天文学・宇宙物理学」
    • Place of Presentation
      京都大学基礎物理学研究所(京都府)
    • Related Report
      2012 Final Research Report
  • [Presentation] Light propagation in time-dependent gravitational field2010

    • Author(s)
      H. Arakida
    • Organizer
      The 20th Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      YITP Kyoto University (京都府)
    • Related Report
      2012 Final Research Report
  • [Presentation] 時間依存する時空における光/信号伝播モデル 構築への試み2010

    • Author(s)
      荒木田英禎
    • Organizer
      日本天文学会2010年春季年会
    • Place of Presentation
      広島大学(広島県)
    • Related Report
      2012 Final Research Report
  • [Presentation] Cosmological Influence on Gravitationally Bound Local System: Case of Lemaitre . Tolman - Bondi Spacetime and its Application to Secular Increase of Astronomical Unit2009

    • Author(s)
      H. Arakida
    • Organizer
      The 19th Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      Rikkyo University(東京都)
    • Related Report
      2012 Final Research Report
  • [Presentation] Lemeitre&#8211 ; Tolman8#8211;Bondi時空における粒子軌道2009

    • Author(s)
      荒木田英禎
    • Organizer
      第22回理論懇シンポジウム
    • Place of Presentation
      名古屋大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] Cosmalogical Influence onGravitationally Bound Local System : Case of Lemaitro-Tolman-Bondi Spacetime andits Application to Secular Increase ofAstronomical Unit2009

    • Author(s)
      H.Arakida
    • Organizer
      JGRG19
    • Place of Presentation
      立教大学
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2019-07-29  

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