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Online Resource

Atlas of the Gravity and Magnetic Fields of the Moon (2022)

Klokočník, Jaroslav. ; Kostelecký, Jan. ; Cílek, Václav. ; [et al.]

Cham :Springer International Publishing :

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Keywords: Geophysics. ; Planetary science. ; Geomorphology. ; Geophysics. ; Planetary Science. ; Geomorphology.

Description / Table of Contents: Introduction -- Notes to Theory and Data -- Gravity field of the Moon -- Magnetic field of the Moon -- Surface topography of the Moon -- Geology and geomorphology of the Moon – a necessary introduction -- Geophysics of the Moon – a necessary introduction -- Atlas of the Moon -- Limits and possibilities of interpretation.

Abstract: This book presents gravity aspects (gravity disturbance, Marussi tensor, two gravity invariants, their certain ratio, the strike angles, and the virtual deformations) which are computed and evaluated for the Moon, using the recent static global gravity field model (GRGM1200A) to degree and order of 600 in spherical harmonic expansion. The magnetic anomaly model and surface topography (from the LOLA mission) are added. Results are shown for the whole Moon, for its segments around the Moon and as zooms for selected impact craters, maria and catenae; they are shortly interpreted and opened for further selenologic applications. The book contains information about the geology of the Moon, together with basic information about the magnetic field, mapping and topography models.

Type of Medium: Online Resource

Pages: XV, 263 p. 306 illus., 303 illus. in color. , online resource.

Edition: 1st ed. 2022.

ISBN: 9783031088674

Series Statement: Springer Geophysics,

URL: https://doi.org/10.1007/978-3-031-08867-4

DOI: 10.1007/978-3-031-08867-4

DDC: 550

Language: English

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2

GFZ publications

Evaluation of pre-CHAMP gravity models GRIM5-S1 and GRIM5-C1 with satellite crossover altimetry (2000)

Klokočnik, Jaroslav ; Reigber, Christoph ; Schwintzer, Peter ; [et al.]

Potsdam : Geoforschungszentrum

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Call number: 21/STR 00/22

In: Scientific technical report

Type of Medium: GFZ publications

Pages: 44 S.

Series Statement: Scientific technical report / Geoforschungszentrum Potsdam 00/22

Classification:

Geodetic Measurement Systems

Location: Reading room

Branch Library: GFZ Library

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3

Electronic Resource

Combinations of Satellite Crossovers to Study Orbit and Residual Errors in Altimetry (1999)

Klokočník, Jaroslav ; Wagner, Carl A.

Springer

Celestial mechanics and dynamical astronomy 74 (1999), S. 231-242

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ISSN: 1572-9478

Keywords: satellite altimetry ; satellite dynamics ; radial orbit component/accuracy ; crossovers ; combinations of single‐ and dual‐satellite crossovers

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We define combinations of dual‐ and single‐satellite crossover differences to isolate both stationary orbit‐geopotential and non‐geopotential errors in altimetry data. Specifically two types of combinations are found useful. While no combination of differences can resolve the full radial error of single or paired satellites, an approximation of the mean or geographically correlated error of the generally dominant lower orbit of a pair can be found from one kind (substitutions). (The variable part of the error is always available from the single‐satellite crossover differences.) A second useful combination type is found to yield no geopotential orbit error (zeros): uniquely, these can reveal errors in altimetry from imperfect media corrections as well as oceanographic changes in sealevel. The later circumstance is particularly important when the missions for a pair of satellites are disparate in time.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1008397202151

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4

Electronic Resource

Orbital rates of earth satellites at resonances to test the accuracy of earth gravity field models (1983)

Klokočník, Jaroslav

Springer

Celestial mechanics and dynamical astronomy 30 (1983), S. 407-422

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ISSN: 1572-9478

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract Differences among the Earth gravity field models, which were (in Klokočník and Pospíšilová, 1981) expressed as dispersions of the relevant lumped geopotential coefficients, are here transformed to the differences in variations of orbital quantities. Theoretical formulae, the Lagrange (planetary) equations, describing the orbital rates near resonances due to the geopotential, are derived in a simple and unified form. They are then applied to estimate the orbital uncertainty as a function of Earth models differences. The first set of the Earth models (set I) consists of 11 models from the decade 1970–1980, of greatly varying quality; the set II contains several recent models; we present a test (for the 13th-to 15th-order) based on standard deviations of the lumped values of GEM 10B, which were estimated by means of independent resonant data (in Klokočník, 1982). Maxima of the differences in the variations of the elements for the set I reach 8×10−4 deg day−1, 10–12 m day−1 or 200 m day−1 inI, a, orL 0=ω+M 0+Ω, respectively, for close and polar orbits (∼15 revs day−1); the values are not higher than 10−4 deg day−1, 1–2 m day−1 or 20 m day−1 inI, a,L 0 for higher orbits (∼6–7 revs day−1). For the set II, calibrated by resonant data, the maximum inaccuracy (±3σ) is about 3×10−4 deg day−1, ≤6 m day−1 or ≤100 m day−1 forI, a, andL 0 at 15 revs day−1, and is not larger than∼1×10−4 deg day−1, 2 m day−1 or 25 m day−1 for 13 revs day−1.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01375510

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5

Electronic Resource

The filtering effect of orbit correction on geopotential errors (1995)

Klokočník, Jaroslav ; Wagner, Carl A. ; Kostelecky, J. ; [et al.]

Springer

Journal of geodesy 70 (1995), S. 146-157

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ISSN: 1432-1394

Source: Springer Online Journal Archives 1860-2000

Topics: Architecture, Civil Engineering, Surveying

Notes: Summary The geophysical interpretation of satellite tracking residuals generally ignores the filtering effect of initial orbit correction on the true errors of the model. While the filtered information is usually regarded as lost, knowing the spectral characteristics of the filter is a great aid in the detailed interpretation of residuals, especially of global data sets. In this regard, we derive the filter characteristics (admittances) of orbit correction in the presence of geopotential-caused trajectory errors. We then apply the filter to determine the likely power of the lost radial information in crossover differences of sea heights determined from satellite altimetry or in the latitude lumped coefficients derived from them. For example, we find that resonant geopotential information with periods longer than the corrected orbit's arc length is largely lost in residual crossover data. Results are given for GEOSAT, ERS-1 and TOPEX/Poseidon in their Exact Repeat Missions, using calibrated variancecovariance matrices of the harmonic geopotential coefficients of several recent Earth gravity models. To prove that filtering is important, we first employed a simple cut of all perturbing terms with periods longer than the general tracking period (4 days for GEOSAT and ERS-1, and 10 days for TOPEX). But the cut is too crude a method from a theoretical viewpoint, and thus, we developed two new filters. A comparison of their admittances explains the differences (and sometimes anomalous behaviour) between them and the cut. Many numerical examples (single-satellite crossover errors and latitude lumped coefficient errors, as projected from the variance-covariance matrices) are presented. This paper has been presented during the Panel on Satellite Dynamics, at COSPAR 1994, in Hamburg, Germany.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00943690

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6

Electronic Resource

A test of GEM T2 from GEOSAT crossovers using latitude lumped coefficients (1994)

Klokočník, Jaroslav ; Wagner, Carl A.

Springer

Journal of geodesy 68 (1994), S. 100-108

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ISSN: 1432-1394

Source: Springer Online Journal Archives 1860-2000

Topics: Architecture, Civil Engineering, Surveying

Notes: Summary New Latitude Lumped Coefficients (LLC) of a geopotential model are defined as representing the principal differences of the radial distance to a satellite due to the model at single-orbit crossovers in an Exact Repeat Mission. In contrast with previously defined orbital lumped coefficients, the LLC here are dependent only on the geopotential order (without degree distinction) and the latitude. We examine discrepancies in altimetrically determined sea surface heights at over 30000 crossover positions of GEOSAT during its ERM, 1986–1989, after removal of many variable media and surface effects (Cheney et al., 1991) as well as initial condition orbit error. The mean of these discrepancies along well represented latitude bands in the southern hemisphere are used to determine the LLC errors for Goddard Earth Model T2, which was the reference for the GEOSAT sea surface heights. GEM T2 was derived from satelliteonly tracking data with good representation of the GEOSAT orbit. Relating the ”measured” LLC discrepancies to projections of commission error from the GEM T2 variance-covariance matrix, we find that — except for order 3 — GEM T2's performance is as expected. This test represents the first spectral calibration of a gravity model with independent, purely radial orbit data.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00819386

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7

Electronic Resource

Investigation of the instability of graveyard orbits due to the earth's gravitational perturbations (1992)

Kostelecký, Jan ; Klokočník, Jaroslav

Springer

Studia geophysica et geodaetica 36 (1992), S. 297-301

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ISSN: 1573-1626

Source: Springer Online Journal Archives 1860-2000

Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics

Notes: Summary The Banach theorem is applied to the Lagrange planetary equation for the semimajor axis of a geostationary satellite orbit to estimate the stability of near-geostationary satellite orbits. To achieve a graveyard (disposal) orbit, which will not interfere (=cross) the “initial” geostationary orbit, the geostationary semi-major axis ag have to be increased at least by 50 km. Numerical results for a variety of graveyard orbits show that the increase of ag by about 100 km will yield “sufficiently stable” orbits (accounting for the Earth's gravitational perturbations only) during the next 150 years.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01625482

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8

Electronic Resource

Accuracy assessments of recent earth gravity models using crossover altimetry (1996)

Klokočník, Jaroslav ; Wagner, Carl A. ; Kostelecký, Jan

Springer

Studia geophysica et geodaetica 40 (1996), S. 77-110

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ISSN: 1573-1626

Keywords: satellite dynamics ; satellite (crossover) altimetry ; Earth gravity field models ; tests of accuracy

Source: Springer Online Journal Archives 1860-2000

Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics

Notes: Summary The calibrated variance-covariance matrices of the harmonic geopotential coefficients of the recent combined model JGM 2 has been tested and verified by independent crossover altimetry from TOPEX/Poseidon and ERS 1 using the Latitude Lumped Coefficients in the southern oceans area. Although orbits are not yet available for these missions with other recent models for which error matrices have been released, by comparison with JGM 2 results and field differences we also confirm that the error matrices for the satellite model GRIM 4S4p and the combined data model JGM 3 are also generally valid. Projections of these matrices for a variety of inclinations show that many unused orbits of even moderate altitude (≈ 800 km) will still yield trajectory crossover errors at a level of many tens of centimeters even with the latest orbitgeopotential models.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02295906

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