Secular Motion of the Pole

1970 ◽  
pp. 82-87 ◽  
Author(s):  
S. Yumi ◽  
Y. Wako
Keyword(s):  
Secular Motion

The motion of a lunar orbiter

1966 ◽  
Vol 25 ◽  
pp. 373
Author(s):  
Y. Kozai
Keyword(s):  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Triaxial Ellipsoid ◽  
The Moon ◽  
Secular Motion ◽  
The Earth ◽  
Close Satellite ◽  
The Mean

The motion of an artificial satellite around the Moon is much more complicated than that around the Earth, since the shape of the Moon is a triaxial ellipsoid and the effect of the Earth on the motion is very important even for a very close satellite.The differential equations of motion of the satellite are written in canonical form of three degrees of freedom with time depending Hamiltonian. By eliminating short-periodic terms depending on the mean longitude of the satellite and by assuming that the Earth is moving on the lunar equator, however, the equations are reduced to those of two degrees of freedom with an energy integral.Since the mean motion of the Earth around the Moon is more rapid than the secular motion of the argument of pericentre of the satellite by a factor of one order, the terms depending on the longitude of the Earth can be eliminated, and the degree of freedom is reduced to one.Then the motion can be discussed by drawing equi-energy curves in two-dimensional space. According to these figures satellites with high inclination have large possibilities of falling down to the lunar surface even if the initial eccentricities are very small.The principal properties of the motion are not changed even if plausible values ofJ3andJ4of the Moon are included.This paper has been published in Publ. astr. Soc.Japan15, 301, 1963.

International determination of the total motion of the pole

1961 ◽  
Vol 13 ◽  
pp. 29-41
Author(s):  
Wm. Markowitz
Keyword(s):  
Secular Motion ◽  
The Future

A symposium on the future of the International Latitude Service (I. L. S.) is to be held in Helsinki in July 1960. My report for the symposium consists of two parts. Part I, denoded (Mk I) was published [1] earlier in 1960 under the title “Latitude and Longitude, and the Secular Motion of the Pole”. Part II is the present paper, denoded (Mk II).

GPS-DERIVED SECULAR VELOCITY FIELD AROUND SANGIHE ISLAND AND ITS IMPLICATION TO THE MOLUCCA SEA SEISMICITY

GEOMATIKA ◽  
2020 ◽  
Vol 26 (2) ◽  
pp. 107
Author(s):  
Leni Sophia Heliani ◽  
Cecep Pratama ◽  
Parseno Parseno ◽  
Nurrohmat Widjajanti ◽  
Dwi Lestari
Keyword(s):  
Surface Displacement ◽  
Active Regions ◽  
Least Square ◽  
The Other ◽  
Gps Data ◽  
West Side ◽  
Active Deformation ◽  
Secular Motion ◽  
Small Change ◽  
Linear Least Square

<p><em>Sangihe-Moluccas region is the most active seismicity in Indonesia. Between 2015 to 2018 there is four M6 class earthquake occurred close to the Sangihe-Moluccas region. These seismic active regions representing active deformation which is recorded on installed GPS for both campaign and continuous station. However, the origin of those frequent earthquakes has not been well understood especially related to GPS-derived secular motion. Therefore, we intend to estimate the secular motion inside and around Sangihe island. On the other hand, we also evaluate the effect of seismicity on GPS sites. Since our GPS data were conducted on yearly basis, we used an empirical global model of surface displacement due to coseismic activity. We calculate the offset that may be contained in the GPS site during its period</em><em>. </em><em>We remove the offset and estimate again the secular motion using linear least square. Hence, in comparison with the secular motion without considering the seismicity, we observe small change but systematically shifting the motion. We concluded the seismicity in the Molucca sea from 2015 to 2018 systematically change the secular motion around Sangihe Island at the sub-mm level. Finally, we obtained the secular motion toward each other between the east and west side within 1 to 5.5 cm/year displacement. </em></p>

A Method of Measuring the Axial Secular Motion Temperature of Trapping Large Size Ion Clouds

2013 ◽  
Vol 30 (3) ◽  
pp. 030501
Author(s):  
Yu-Na Yang ◽  
Hao Liu ◽  
Yue-Hong He ◽  
Hai-Xia Li ◽  
Yi-He Chen ◽  
...  
Keyword(s):  
Secular Motion ◽  
Large Size

Tuning of relative spatial distributions of a two-component ion system to improve sympathetic cooling efficiency

2021 ◽  
pp. 2150352
Author(s):  
Li-Jun Du ◽  
Yan-Song Meng ◽  
Yu-Ling He ◽  
Jun Xie
Keyword(s):  
Spatial Configuration ◽  
Three Dimensional ◽  
Low Frequency ◽  
Fine Tuning ◽  
Charge Ratio ◽  
Spatial Distributions ◽  
Cooling Efficiency ◽  
Dynamic Coupling ◽  
Sympathetic Cooling ◽  
Secular Motion

Herein, a fine-tuning method is proposed for the spatial distributions of a mixed three-dimensional (3D) ion system in dual radio frequency (RF) linear Paul traps to achieve efficient sympathetic cooling. The dual RF field matching, efficient capture method and transient process of the intrinsic micromotion of the mixed ion system are analyzed quantitatively by numerical simulations. The 3D correlation coupling characteristics between intrinsic micromotion and secular motion of ion system are obtained. It is found that reasonable low-frequency trapping potential can produce ultra-low-frequency pulling effect on ions with low mass-to-charge ratio (M/Q), which is beneficial to the dynamic coupling between ions with large M/Q differences. The effects of equivalent stiffness coefficients [Formula: see text] on the relative spatial configuration and dynamic coupling process of mixed 3D ion crystals with large M/Q differences are discussed. By tuning [Formula: see text], radial distributions of laser-cooled ions (LCIs) and sympathetically cooled ions (SCIs) that do not conform to the rules based on M/Q are realized. The optimum sympathetic-cooling efficiency occurs, where [Formula: see text] is approximately equivalent to [Formula: see text]. These results are applicable to studies such as cold ion clocks, quantum logic manipulation, antimatter synthesis, regulation of cold chemical reaction, and precise spectral measurements based on sympathetic cooling.

scholarly journals Separating the Secular Motion of the Pole from Continental Drift Where and What to Observe?

1972 ◽  
Vol 48 ◽  
pp. 68-77 ◽  
Author(s):  
Ivan I. Mueller ◽  
C. R. Schwarz
Keyword(s):  
Polar Motion ◽  
Continental Drift ◽  
Time Span ◽  
Secular Motion ◽  
Model Based

The paper estimates the expected rates of changes in the coordinates of various observatory networks (IPMS, BIH, VLBI, etc.) due to the secular motion of the pole and/or continental drift according to the Le Pichon Model. Based on these estimates, suggestions are made as to what to observe and over what time span to separate the effect of continental drift and secular polar motion.

scholarly journals Non-Periodic Latitude Variations and the Secular Motion of the Earth's Pole

1972 ◽  
Vol 48 ◽  
pp. 78-85 ◽  
Author(s):  
E. P. Fedorov ◽  
A. A. Korsun ◽  
N. T. Mironov
Keyword(s):  
Polar Motion ◽  
Relative Displacement ◽  
Secular Motion ◽  
The Mean

The phenomenon known as the secular polar motion is, in essence, a relative displacement of the mean pole of the epoch of observation and the Conventional International Origin (CIO). The latter is attached to the zeniths of the five international latitude stations. If the zeniths were fixed relative to one another, or, in the terminology of A. Danjon, formed an invariable constellation, then the CIO could be considered as fixed with respect to such a constellation. But this is not the case: displacements of zeniths with respect to one another do occur. The question is how large they are.

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