G. A. Krasinsky

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Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2009

B. A. Archinal, M. F. A’Hearn, E. Bowell, A. Conrad, more

Celestial Mechanics and Dynamical Astronomy > 2011 > 109 > 2 > 101-135

Every three years the IAU Working Group on Cartographic Coordinates and Rotational Elements revises tables giving the directions of the poles of rotation and the prime meridians of the planets, satellites, minor planets, and comets. This report takes into account the IAU Working Group for Planetary System Nomenclature (WGPSN) and the IAU Committee on Small Body Nomenclature (CSBN) definition of dwarf...

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Erratum to: Reports of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2006 & 2009

B. A. Archinal, M. F. A’Hearn, A. Conrad, G. J. Consolmagno, more

Celestial Mechanics and Dynamical Astronomy > 2011 > 110 > 4 > 401-403

The primary poles for (243) Ida and (134340) Pluto and its satellite (134340) Pluto : I Charon were redefined in the IAU Working Group on Cartographic Coordinates and Rotational Elements (WGCCRE) 2006 report (Seidelmann et al. in Celest Mech Dyn Astr 98:155, 2007), and 2009 report (Archinal et al. in Celest Mech Dyn Astr 109:101, 2011), respectively, to be consistent with the primary poles of similar...

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Earth’s precession–nutation motion: the error analysis of the theories IAU 2000 and IAU 2006 applying the VLBI data of the years 1984–2006

G. A. Krasinsky

Celestial Mechanics and Dynamical Astronomy > 2008 > 101 > 4 > 325-336

The long-term systematic errors of the analytical theories IAU 2000 and IAU 2006 of the Earth’s precession–nutational motion are studied making use of the VLBI data of 1984–2007. Several independent methods give indubitable evidence of the significant quadratic error $${d\phi = (23 \pm 3)\,{\rm mas/cy}^2}$$ in the IAU 2000 residuals of the precessional angle $${\phi}$$ while the adopted...

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Report of the IAU/IAG Working Group on cartographic coordinates and rotational elements: 2006

P. Kenneth Seidelmann, B. A. Archinal, M. F. A’hearn, A. Conrad, more

Celestial Mechanics and Dynamical Astronomy > 2007 > 98 > 3 > 155-180

Every three years the IAU/IAG Working Group on Cartographic Coordinates and Rotational Elements revises tables giving the directions of the poles of rotation and the prime meridians of the planets, satellites, minor planets, and comets. This report introduces improved values for the pole and rotation rate of Pluto, Charon, and Phoebe, the pole of Jupiter, the sizes and shapes of Saturn satellites...

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Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 2: Fitting to VLBI data

G. A. Krasinsky, M. V. Vasilyev

Celestial Mechanics and Dynamical Astronomy > 2006 > 96 > 3-4 > 219-237

VLBI-based offsets of the Celestial Pole positions, as well as the variations of UT (series of Goddard Space Flight Center, 1984–2005) are processed applying the Earth’s rotation theory (ERA) 2005 constructed by the numerical integration of the differential equations of rotation of the deformable Earth. The equations were published earlier (Krasinsky 2006) as the first part of the work. The resulting...

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Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 1: Mathematical model

G. A. Krasinsky

Celestial Mechanics and Dynamical Astronomy > 2006 > 96 > 3-4 > 169-217

Improved differential equations of the rotation of the deformable Earth with the two-layer fluid core are developed. The equations describe both the precession-nutational motion and the axial rotation (i.e. variations of the Universal Time UT). Poincaré’s method of modeling the dynamical effects of the fluid core, and Sasao’s approach for calculating the tidal interaction between the core and mantle...

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Secular increase of astronomical unit from analysis of the major planet motions, and its interpretation

G. A. Krasinsky, V. A. Brumberg

Celestial Mechanics and Dynamical Astronomy > 2004 > 90 > 3-4 > 267-288

From the analysis of all available radiometric measurements of distances between the Earth and the major planets (including observations of martian landers and orbiters over 1971–2003 with the errors of few meters) the positive secular trend in the Astronomical Unit AU is estimated as $${{\rm d}\over{{\rm d}t}} {\rm AU} = 15 \pm 4 {\rm m/cy}$$ . The given uncertainty is the 10 times enlarged formal...

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Hidden Mass in the Asteroid Belt

G. A. Krasinsky, E. V. Pitjeva, M. V. Vasilyev, E. I. Yagudina

Icarus > 2002 > 158 > 1 > 98-105

The total mass of the asteroid belt is estimated from an analysis of the motions of the major planets by processing high precision measurements of ranging to the landers Viking-1, Viking-2, and Pathfinder (1976-1997). Modeling of the perturbing accelerations of the major planets accounts for individual contributions of 300 minor planets; the total contribution of all remaining small asteroids is modeled...

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Dynamical History of the Earth–Moon System

G. A. Krasinsky

Celestial Mechanics and Dynamical Astronomy > 2002 > 84 > 1 > 27-55

Differential equations describing the tidal evolution of the earth's rotation and of the lunar orbital motion are presented in a simple close form. The equations differ in form for orbits fixed to the terrestrial equator and for orbits with the nodes precessing along the ecliptic due to solar perturbations. Analytical considerations show that if the contemporary lunar orbit were equatorial the evolution...

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Tidal effects in the earth–moon system and the earth's rotation

G. A. Krasinsky

Celestial Mechanics and Dynamical Astronomy > 1999 > 75 > 1 > 39-66

Analytical expressions for tidal torques induced by a tide‐arising planet which perturbs rotation of a nonrigid body are derived. Corresponding expressions both for secular and periodic perturbations of the Euler's angles are given for the case of the earth's rotation. Centennial secular rates of the nutation angle θ and of the earth's angular velocity ω, as well as the centennial logarithmic decrement...

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Search results for: G. A. Krasinsky

Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2009

Erratum to: Reports of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2006 & 2009

Earth’s precession–nutation motion: the error analysis of the theories IAU 2000 and IAU 2006 applying the VLBI data of the years 1984–2006

Report of the IAU/IAG Working Group on cartographic coordinates and rotational elements: 2006

Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 2: Fitting to VLBI data

Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 1: Mathematical model

Secular increase of astronomical unit from analysis of the major planet motions, and its interpretation

Hidden Mass in the Asteroid Belt

Dynamical History of the Earth–Moon System

Tidal effects in the earth–moon system and the earth's rotation

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