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At least 19 records

The determination of crustal motions using laser ranging to Lageos-2 and Lageos-1

During the period October 1992 through June 1993, Center for Space Research efforts continued on four areas: (1) production of a solution for terrestrial reference frame including site positions, velocities, and Earth orientation and rotation spanning the entire Lageos-1 mission, (2) production of a solution for terrestrial reference frame including site positions and Earth orientation spanning the Lageos-2 mission, independently from Lageos-1, (3) evaluation of numerical characteristics of the integration of the Lageos-2 orbit, (4) evaluation of contributions of Lageos-1 and Lageos-2 to temporal variations in the geopotential and 18.6 year tidal response of the Earth, and (5) attendence and participation in Lageos-2 Investigator Working Group Meetings and Committees.

Tapley, Byron D.↗

The LAGEOS Lense-Thirring precession and the LAGEOS non-gravitational nodal perturbations. I

After a brief description of the experiment to detect the gravitomagnetic field using high altitude laser ranged artificial satellites, several nongravitational perturbations that affect the LAGEOS nodal longitude are studied. It is shown that the error in the calculated value of the secular nodal precession or the value of the secular nodal precession itself is, for each perturbation, less than 1 percent of the gravitomagnetic drag.

Ciufolini, Ignazio↗

Lageos orbit and solar eclipses

The objective was to assess the importance of solar eclipses on Lageos' orbit. Solar radiation pressure perturbs the orbit of the Lageos satellite. The GEODYN orbit determination computer program includes solar radiation pressure as one of the forces operating on the satellite as it integrates the orbit. GEODYN also takes into account the extinction of sunlight when Lageos moves into the Earth's shadow. The effect of solar eclipses on the semimajor axis of Lageos' orbit was computed analytically by assuming Lageos to be in a circular orbit, the Sun and the Moon to be in the plane of the orbit, and the Moon to be stationary in the sky in front of the Sun. Also, the magnitude of the radiation pressure is assumed to be linearly related to the angular separation of the Sun and Moon, and that Lageos is a perfect absorber of radiation. The computation indicates that an eclipse of the Sun by the Moon as seen by Lageos can affect the semimajor axis at the 1 centimeter (1 cm) level. Such a change is significant enough to include in GEODYN, in order to get an accurate orbit for Lageos.

Rubincam, D. P.↗

Laser geodynamic satellite (LAGEOS II)

The Laser Geodynamic Satellite 2 (LAGEOS 2) is nearly identical to the LAGEOS 1 satellite, which was launched by NASA in 1976. However, LAGEOS 2 is completely passive, and is equipped with fused silian corner reflectors for ranging with ground-based lasers. The addition of LAGEOS 2 will provide the GSFC laser network with significantly increased satellite tracking opportunities, because LAGEOS 1 is at a 110-degree inclination and LAGEOS 2 will be at a 52-degree inclination. The flight profile is given, and information is presented in tabular form on the following topics: Deep Space Network support, frequency assignments, telemetry, tracking, and tracking support responsibility.

Portelli, C.↗

Lageos scientific results - Introduction

It is pointed out that the Laser Geodynamics Satellites (Lageos) is one of the first artificial satellites developed exclusively for geodynamic measurements using laser-ranging techniques. Lageos was launched by NASA on May 4, 1976. The satellite is a sphere, 60 cm in diameter. When Lageos was first launched, the laser tracking systems and data analysis techniques permitted the derivation of station coordinates at about the meter level of precision. By employing special techniques for removing biases, the uncertainty in baseline distance changes could be reduced to better than a decimeter and in some cases to a few centimeters. A summary of technical papers concerned with the utilization of Lageos data is presented.

Cohen, S. C.↗

Drag on the Lageos satellite

The drag data on the Lageos satellite collected between 1976 and 1987 are analyzed, and the cause of fluctuations observed at times when the orbit intersects the earth's shadow is investigated. The average drag on the Lageos consists of three types of drag: the Yarkovsky thermal drag, which accounts for about 70 percent of the observed drag; the neutral particle drug, accounting for about 14 percent of the drag for a hydrogen number density of 5 x 10 to the 9th/cu m; and the charged particle drag, which accounts for 12 percent of average drag at a number density of 3 x 10 to the 9th and a temperature of 5000 K in the plasmasphere for a satellite potential of -1 V. The observed drag agrees with the particle environment at the Lageos altitude and the drag models. However, the fluctuations in Lageos's along-track acceleration when the orbit intersects the earth's shadow are still not well understood.

Rubincam, David Parry↗

Temporal variations of the earth's gravitational field from satellite laser ranging to LAGEOS

Monthly values of the J2 and J3 earth gravitational coefficients were estimated using LAGEOS satellite laser ranging data collected between 1980 and 1989. Monthly variations in gravitational coefficients caused by atmospheric mass redistribution were calculated using measurements of variations in surface atmospheric pressure. Results for correlation studies of the two time series are presented. The LAGEOS and atmospheric J2 time series agree well and it appears that variations in J2 can be attributed to the redistribution of atmospheric mass. Atmospheric and LAGEOS estimates for J3 show poorer agreement, J3 estimates appear to be very sensitive to unmodeled forces acting on the satellite. Results indicate that the LAGEOS data can be used to detect small variations in the gravitational field.

Nerem, R. S.↗

Error analysis for station position from tracking of the Lageos satellite

The earth physics satellite systems error analysis program was applied to the problem of predicting the relative accuracy of station position determinations under varying orbital and observing geometries. The reference case consists of nine ground stations extending over 1500 km which lasers ranged to a LAGEOS satellite, with simultaneous Doppler tracking from a geosynchronous satellite for 16 days. Eleven variations from the reference case were tested. The results showed little sensitivity to whether the LAGEOS altitude is 3700 or 5690 km. More significant were the high inclination, and that LAGEOS was tracked by a geosynchronous satellite.

Parmenter, M. E.↗

Prelaunch testing of the laser geodynamic satellite (LAGEOS)

The LAGEOS was extensively tested optically prior to launch. The measurement techniques used are described and resulting data is presented. Principal emphasis was placed on pulse spreading characteristics, range correction for center of mass tracking, and pulse distortion due to coherent effects. A mode-locked freqeuncy doubled Nd:YAG laser with a pulse width of about 60 ps was used as the ranging transmitter and a crossfield photo-multiplier was used in the receiver. High speed sampling electronics were employed to increase receiver bandwidth. LAGEOS reflected pulses typically had a width of 250 ps with a variability in the range correction of less than 2 mm rms. Pulse distortion due to coherent effects was inferred from average waveforms and appears to introduce less than + or - 50 ps jitter in the location of the pulse peak. Analytic results on this effect based on computer simulations are also presented. Theoretical and experimental data on the lidar cross section were developed in order to predict the strength of lidar echoes from the satellite. Cross section was measured using a large aperture laser collimating system to illuminate the LAGEOS. Reflected radiation far-field patterns were measured using the collimator in an autocollimating mode. Data were collected with an optical data digitzer and displayed as a three-dimensional plot of intensity versus the two far-field coordinates. Measurements were made at several wavelengths, for several types of polarizations, and as a function of satellite orientation.

Fitzmaurice, M. W.↗

Long term evolution of the LAGEOS orbit

Since LAGEOS was launched in May 1976, precise laser observations of the satellite have been used to estimate relative station positions, polar motion and the earth's gravitational constant. This work was accomplished with a model of the orbit dynamics that was adequate to compute trajectories of meter level accuracy for periods of 30 days in length. Knowledge of the long-term evolution of the LAGEOS orbit has now been improved by an analysis of the ranging data collected during the first two years and eight months of the mission. Revisions to the originally adopted force model suggested by this work are presented in the form of the time histories of individual Keplerian elements. Some unexpected variations in LAGEOS orbital period are observed and clear signatures in the inclination history of this satellite, which are predominantly caused by earth and ocean tidal effects, are also described. The motion of the ascending node of the orbit suggests short-term precisions of 1 or 2 hundredths of an arcsecond, equivalent to about a millisecond in Universal Time.

Smith, D. E.↗

A refined gravity model from Lageos /GEM-L2/

Lageos satellite laser ranging (SLR) data taken over a 2.5 yr period were employed to develop the Goddard Earth Model GEM-L2, a refined gravity field model. Additional data was gathered with 30 other satellites, resulting in spherical harmonics through degree and order 20, based on over 600,000 measurements. The Lageos data was accurate down to 10 cm, after which the GEM 9 data were used to make adjustments past order 7. The resolution of long wavelength activity, through degree and order 4, was made possible by the Lageos data. The GEM-L2 model features a 20 x 20 geopotential, tracking station coordinates (20), 5-day polar motion and A1-UT1 values, and a GM value of 398,600.607 cu km/sq sec. The accuracy of station positioning has been raised to within 6 cm total position globally and within 1.8 cm in baselines. It is concluded that SLR is useful for measuring tectonic plate motions and inter-plate deformations.

Lerch, F. J.↗

The orbit of Lageos and solar eclipses

An eclipse of the Sun by the Moon as seen by the Lageos satellite can affect the orbital semimajor axis at the centimeter level. The weakened radiation pressure acting on Lageos perturbs the orbit differently from that due to full sunlight. This difference amounted to less than 2 mm in the semimajor axis for 23 of the 30 eclipses Lageos experienced between launch in 1976 and the end of 1983. However, it was 17.6 mm for the eclipses on 28 March 1979 and 11.2 mm for the one on 15 December 1982. Differences such as these generate large enough along-track errors to make it worthwhile to include eclipses in complex orbit determination programs such as GEODYN which integrate the orbit. Eclipses cannot explain the presently unmolded variations in along-track acceleration which have a magnitude of about 3 x 10(-12) ms(-2).

Rubincam, D. P.↗

Lageos orbit and the albedo problem

The objective was to obtain an analytic expression for the radiation pressure force on a satellite due to sunlight reflected from the Earth. The Lageos satellite undergoes unexplained along-track accelerations. These accelerations are believed to be due mainly to terrestrial radiation pressure. The effect of sunlight reflected off the surface of the Earth must thus be modeled to insure an accurate orbit for Lageos. An accurate orbit is necessary for carrying out Lageos' mission of measuring tectonic plate motion, polar motion, and Earth rotation. The present investigation focuses on a spherical harmonic approach to the problem. An equation for the force was obtained by assuming the Earth's surface reflects sunlight according to Lambert's law. The equation is an integral over the whole Earth's surface. Expressions occurring inside the integral are expressed in terms of spherical harmonics. The problem is thus reduced to integrating products of spherical harmonics.

Rubincam, D. P.↗

The orbit of Lageos and solar eclipses

An eclipse of the sun by the moon as seen by the Lageos satellite can affect the orbital semimajor axis at the centimeter level. The weakened radiation pressure acting on Lageos perturbs the orbit differently from that due to full sunlight. This difference amounted to less than 2 mm in the semimajor axis for 23 of the 30 eclipses Lageos experienced between launch in 1976 and the end of 1983. However, it was 17.6 mm for the eclipses on 28 March 1979 and 11.2 mm for the one on 15 December 1982. Differences such as these generate large enough along-track errors to make it worthwhile to include eclipses in complex orbit determination programs such as GEODYN which integrate the orbit. Eclipses cannot explain the presently unmolded variations in along-track acceleration which have a magnitude of about 3 x 10(-12) ms(-2).

Rubincam, D. P.↗

Lageos orbit decay due to infrared radiation from Earth

Infrared radiation from the Earth may be the principal reason for the decay of Lageos' orbit. The radiation heats up the laser retroreflectors embedded in Lageos' aluminum surface. This creates a north-south temperature gradient on the satellite. The gradient in turn causes a force to be exerted on Lageos because of recoil from photons leaving its surface. The delayed heating of the retroreflectors due to their thermal inertia gives the force a net along-track component which always acts like drag. A simple thermal model for the retroreflectors indicates that this thermal drag accounts for about half the observed average along-track acceleration of -3.3 x 10 to the -10 power m/sec squared. The contribution from the aluminum surface to this effect is negligible. The infrared effect cannot explain the large observed fluctuations in drag which occur mainly when the orbit intersects the Earth's shadow.

Rubincam, David Parry↗

Lageos orbit decay due to infrared radiation from earth

Infrared radiation from the earth may be the principal reason for the decay of Lageos' orbit. The radiation heats up the laser retroreflectors embedded in Lageos' aluminum surface. This creates a north-south temperature gradient on the satellite. The gradient in turn causes a force to be exerted on Lageos because of recoil from photons leaving its surface. The delayed heating of the retroreflectors due to their thermal inertia gives the force a net along-track component which always acts like drag. A simple thermal model for the retroreflectors indicates that this thermal drag accounts for about half the observed average along-track acceleration of -3.3 x 10 to the -10th power m/sec squared. The contribution from the aluminum surface to this effect is negligible. The infrared effect cannot explain the large observed fluctuations in drag which occur mainly when the orbit intersects the earth's shadow.

Rubincam, David Parry↗

Prelaunch optical characterization of the Laser Geodynamic Satellite (LAGEOS 2)

The optical range correction (the distance between the apparent retroreflective skin of the satellite and the center of mass) of the LAGEOS 2 was determined using computer analysis of theoretical and experimentally measured far field diffraction patterns, and with short pulse lasers using both streak camera-based range receivers and more conventional PMT-based range receivers. The three measurement techniques yielded range correction values from 248 to 253 millimeters dependent on laser wavelength, pulsewidth, and polarization, location of the receiver in the far field diffraction pattern and detection technique (peak, half maximum, centroid, or constant fraction). The Lidar cross section of LAGEOS 2 was measured at 4 to 10 million square meters, comparable to the LAGEOS 1.

Minott, Peter O.↗

Placement of retroreflectors on the Lageos satellite

A model is presented for placing a large number of equal size holes in the surface of a spherical satellite. This problem differs from the classical mathematical problem of packing the maximum number of equal nonoverlapping circles on a sphere in that no hole can intersect the assembly joint at the satellite equator. The model was used during the design of Lageos to analyze the influence of the satellite diameter and hole size on the number of holes that could be placed on the satellite. The retroreflector placement pattern used in constructing Lageos was produced by the model.

Moore, J. E.↗