New model of precession, valid in time interval 400 thousand years

Vondrák, Jan

  • Applications of Mathematics 2012, Publisher: Institute of Mathematics AS CR(Prague), page 290-299

Abstract

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Precession is the secular and long-periodic component of the motion of the Earth’s spin axis in the celestial reference frame, approximately exhibiting a motion of about 50 ' ' per year around the pole of the ecliptic. The presently adopted precession model, IAU2006, approximates this motion by polynomial expansions of time that are valid, with very high accuracy, in the immediate vicinity (a few centuries) of the reference epoch J2000.0. For more distant epochs, this approximation however quickly deviates from reality. As a reaction to this problem, a new model, comprising very long-period terms fitted to a numerical integration of the motion of solar system bodies on scales of several thousand centuries, was recently published by the present author with co-authors from France and United Kingdom in Astronomy Astrophysics. Here a shorter description of the new model, including a new assessment of its accuracy and comparisons with other models, is given.

How to cite

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Vondrák, Jan. "New model of precession, valid in time interval 400 thousand years." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 290-299. <http://eudml.org/doc/287791>.

@inProceedings{Vondrák2012,
abstract = {Precession is the secular and long-periodic component of the motion of the Earth’s spin axis in the celestial reference frame, approximately exhibiting a motion of about $50^\{\prime \prime \}$ per year around the pole of the ecliptic. The presently adopted precession model, IAU2006, approximates this motion by polynomial expansions of time that are valid, with very high accuracy, in the immediate vicinity (a few centuries) of the reference epoch J2000.0. For more distant epochs, this approximation however quickly deviates from reality. As a reaction to this problem, a new model, comprising very long-period terms fitted to a numerical integration of the motion of solar system bodies on scales of several thousand centuries, was recently published by the present author with co-authors from France and United Kingdom in Astronomy Astrophysics. Here a shorter description of the new model, including a new assessment of its accuracy and comparisons with other models, is given.},
author = {Vondrák, Jan},
booktitle = {Applications of Mathematics 2012},
keywords = {axial precession},
location = {Prague},
pages = {290-299},
publisher = {Institute of Mathematics AS CR},
title = {New model of precession, valid in time interval 400 thousand years},
url = {http://eudml.org/doc/287791},
year = {2012},
}

TY - CLSWK
AU - Vondrák, Jan
TI - New model of precession, valid in time interval 400 thousand years
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 290
EP - 299
AB - Precession is the secular and long-periodic component of the motion of the Earth’s spin axis in the celestial reference frame, approximately exhibiting a motion of about $50^{\prime \prime }$ per year around the pole of the ecliptic. The presently adopted precession model, IAU2006, approximates this motion by polynomial expansions of time that are valid, with very high accuracy, in the immediate vicinity (a few centuries) of the reference epoch J2000.0. For more distant epochs, this approximation however quickly deviates from reality. As a reaction to this problem, a new model, comprising very long-period terms fitted to a numerical integration of the motion of solar system bodies on scales of several thousand centuries, was recently published by the present author with co-authors from France and United Kingdom in Astronomy Astrophysics. Here a shorter description of the new model, including a new assessment of its accuracy and comparisons with other models, is given.
KW - axial precession
UR - http://eudml.org/doc/287791
ER -

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