Chapter 15
Astronomical and Geophysical Factors
of the Perturbed Chandler Wobble
of the Earth Pole
Sergej S. Krylov , Vadim V. Perepelkin , and Alexandra S. Filippova
Abstract In the framework of the restricted three-body problem, a celestial–
mechanical model of the steady-state Chandler wobble of the Earth pole is proposed.
The contribution of the astronomical and geophysical disturbances to the observed
Earth pole oscillations is discussed based on the processing of IERS observations of
the Earth pole motion, NCEP/NCAR geophysical data of the atmospheric circulation, and NASA/JPL angular momentum of the ocean. The directions of the axes x
,
y
corresponding to 50° of west longitude and 40° of east longitude, respectively, are
found in the projection, onto which its coordinates have the maximum and minimum
intensities of perturbed oscillations. The Earth pole oscillatory process that is inphase with the lunar orbit precessional motion is studied, and the contribution of
moving media to this process is discussed.
15.1 Introduction
The study of the fundamental astrometric problem of predicting the Earth pole motion
[1] is of significant theoretical interest and fundamental for satellite navigation [2,
3]. One of its important problems is a high-precision forecast of the spacecraft orbits
[4, 5]. In order to solve this problem, it is necessary to take into account various
perturbing factors in the equations of motion [3, 6]. Accuracy improvement of the
coordinate-time and navigation support of the satellite systems is closely related to the
prediction of the Earth pole oscillations because, for example, the Earth orientation
S. S. Krylov · V. V. Perepelkin (B) · A. S. Filippova
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow
125993, Russian Federation
e-mail: vadimkin1@yandex.ru
S. S. Krylov
e-mail: krylov@mai.ru
A. S. Filippova
e-mail: filippova.alex@gmail.com
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_15
199
Astronomical and Geophysical Factors
of the Perturbed Chandler Wobble
of the Earth Pole
Sergej S. Krylov , Vadim V. Perepelkin , and Alexandra S. Filippova
Abstract In the framework of the restricted three-body problem, a celestial–
mechanical model of the steady-state Chandler wobble of the Earth pole is proposed.
The contribution of the astronomical and geophysical disturbances to the observed
Earth pole oscillations is discussed based on the processing of IERS observations of
the Earth pole motion, NCEP/NCAR geophysical data of the atmospheric circulation, and NASA/JPL angular momentum of the ocean. The directions of the axes x
,
y
corresponding to 50° of west longitude and 40° of east longitude, respectively, are
found in the projection, onto which its coordinates have the maximum and minimum
intensities of perturbed oscillations. The Earth pole oscillatory process that is inphase with the lunar orbit precessional motion is studied, and the contribution of
moving media to this process is discussed.
15.1 Introduction
The study of the fundamental astrometric problem of predicting the Earth pole motion
[1] is of significant theoretical interest and fundamental for satellite navigation [2,
3]. One of its important problems is a high-precision forecast of the spacecraft orbits
[4, 5]. In order to solve this problem, it is necessary to take into account various
perturbing factors in the equations of motion [3, 6]. Accuracy improvement of the
coordinate-time and navigation support of the satellite systems is closely related to the
prediction of the Earth pole oscillations because, for example, the Earth orientation
S. S. Krylov · V. V. Perepelkin (B) · A. S. Filippova
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow
125993, Russian Federation
e-mail: vadimkin1@yandex.ru
S. S. Krylov
e-mail: krylov@mai.ru
A. S. Filippova
e-mail: filippova.alex@gmail.com
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_15
199