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Gravitational-wave bursts from the nuclei of distant galaxies and quasars: Proposal for detection using Doppler tracking of interplanetary spacecraft

Supermassive black holes which exist in the nuclei of many quasars and galaxies are examined along with the collapse which forms these holes and subsequent collisions between them which produce strong, broad-band bursts of gravitational waves. Such bursts might arrive at earth as often as 50 times per year--or as rarely as once each 300 years. The detection of such bursts with dual-frequency Doppler tracking of interplanetary spacecraft is considered.

Thorne, K. S.↗

Gravitational-wave bursts from the nuclei of distant galaxies and quasars - Proposal for detection using Doppler tracking of interplanetary spacecraft

It is argued that the collapse which forms the supermassive black holes that are likely to exist in the nuclei of many quasars and galaxies, and collisions between those holes, should produce strong broadband bursts of gravitational waves. The mean time between such gravitational-wave bursts at earth is analyzed in terms of the present Hubble expansion rate, the present deceleration parameter of the universe, the redshift z = 2.5 (at which most of the bursts are assumed to have been generated), the present number density of 'centers' where the bursts originated, the mean number of bursts generated in each center during its active life, and the speed of light. The analysis shows that the range from one week to 300 years is reasonable for the time between bursts, although it is admitted that hardly any bursts at all is also reasonable. Expected characteristics of the bursts are deduced, and it is shown that the best detector for these bursts will probably be Doppler tracking of one or more interplanetary spacecraft.

Thorne, K. S.↗

Measuring Highly Elliptical Orbits Using The GPS

Report discusses precise determination of highly elliptical orbits of spacecraft around Earth, by use of one of following techniques: (1) conventional two-way Doppler tracking of spacecraft from ground stations, (2) conventional two-way Doppler tracking from ground stations augmented by tropospheric-delay calibrations obtained at ground stations by simultaneous tracking of navigation satellites of Global Positioning System (GPS), or (3) method of item 2 augmented further by GPS tracking from GPS flight instrument aboard spacecraft. Analysis applies especially to scientific satellites carrying radio telescopes.

Lichten, Stephen M.↗

The Determination of Titan Gravity Field from Doppler Tracking of the Cassini Spacecraft

In its tour of the Saturnian system, the spacecraft Cassini is carrying out measurements of the gravity field of Titan, whose knowledge is crucial for constraining the internal structure of the satellite. In the five flybys devoted to gravity science, the spacecraft is tracked in X (8.4 GHz) and Ka band (32.5 GHz) from the antennas of NASA's Deep Space Network. The use of a dual frequency downlink is used to mitigate the effects of interplanetary plasma, the largest noise source affecting Doppler measurements. Variations in the wet path delay are effectively compensated by means of advanced water vapor radiometers placed close to the ground antennas. The first three flybys occurred on February 27, 2006, December 28, 2006, and June 29, 2007. Two additional flybys are planned in July 2008 and May 2010. This paper presents the estimation of the mass and quadrupole field of Titan from the first two flybys, carried out by the Cassini Radio Science Team using a short arc orbit determination. The data from the two flybys are first independently fit using a dynamical model of the spacecraft and the bodies of the Saturnian system, and then combined in a multi-arc solution. Under the assumption that the higher degree harmonics are negligible, the estimated values of the gravity parameters from the combined, multi-arc solution are GM = 8978.1337 +/- 0.0025 km(exp 3) / s(exp 2), J (sub 2) = (2.7221 +/- 0.0185) 10 (exp -5) and C (sub 22) = (1.1159 +/- 0.0040) 10 (exp -5) The excellent agreement (within 1.7 sigma) of the results from the two flybys further increases the confidence in the solution and provides an a posteriori validation of the dynamical model.

Iess, L.↗

Differential Interferometry For Spacecraft Navigation

Report proposes use of differential very-long-baseline interferometry to measure accurately angular separation, viewed from Earth, of two spacecraft near another planet. One spacecraft would be in orbit around planet on trajectory already determined accurately, relative to planet, by conventional Doppler tracking. Other spacecraft would be approaching planet. Use of differential very-long-baseline interferometry "tie" between two spacecraft and previously determined "tie" between orbiter and planet increases accuracy of navigation of approaching spacecraft relative to planet.

Edwards, Charles D.↗

Early results of the ionospheric experiment of the Apollo-Soyuz Test Project

A description is presented of a spacecraft-to-spacecraft Doppler-tracking experiment which was performed by the Smithsonian Astrophysical Observatory on the occasion of the Apollo-Soyuz Test Project (ASTP). The experiment involved the measurement of the relative velocity between the ASTP docking module and the Apollo command service module by a Doppler-tracking method. The objectives of the ionospheric experiment include the measurement of the time changes of the columnar electron content between the two spacecraft. The obtained data can provide a basis for the determination of the horizontal gradients of electron density at the height of 220 km.

Grossi, M. D.↗

Testing relativistic theories of gravity with spacecraft-Doppler gravity-wave detection

The response of a spacecraft Doppler-tracking system to the passage of a weak plane gravity wave of the most general polarization is calculated. Results show that the simultaneous tracking of several spacecraft could provide an unambiguous determination of the gravity-wave polarization, a much needed result in the continuing experimental testing of relativistic theories of gravity.

Hellings, R. W.↗

Tracking and Data Relay Satellite System (TDRSS) Support of User Spacecraft without TDRSS Transponders

NASA GSFC VNS TSG personnel have proposed the use of TDRSS to obtain telemetry and/or S-band one-way return Doppler tracking data for spacecraft which do not have TDRSS-compatible transponders and therefore were never considered candidates for TDRSS support. For spacecraft with less stable local oscillators (LO), one-way return Doppler tracking data is typically of poor quality. It has been demonstrated using UARS, WIND, and NOAA-J tracking data that the simultaneous use of two TDRSS spacecraft can yield differenced one-way return Doppler data of high quality which is usable for orbit determination by differencing away the effects of oscillator instability.

Jackson, James A.↗

Application of DSN spacecraft tracking technology to experimental gravitation

Spacecraft tracking technology of the Deep Space Net (DSN) has been used in the past to measure the general-relativistic increase in round-trip group delay between earth and a spacecraft. As the DSN technology continues to improve, other gravitational experiments will become possible. Two possibilities are discussed in this paper. The first concerns the application of solar-system dynamics to the testing of general relativity. The second involves the detection of VLF gravitational radiation (0.1 to 0.0001 Hz) by means of Doppler tracking of spacecraft.

Anderson, J. D.↗

The gravity and shape of the moon

This review discusses the current knowledge of the gravity and geometry of the moon, and their implications as to lunar structure. Measurements pertaining to the gravity field are, first and foremost, Doppler tracking of spacecraft that have orbited the moon, but also the laser ranging from the earth to the moon and the gravity meters and accelerometers landed with the Apollo spacecraft. Measurements pertaining to the geometry include (1) those related to the shape: the metric photography and laser altimeters on Apollo 15, 16, and 17; the electromagnetic sounder on Apollo 17; the landmark tracking from earlier Apollo orbiters; and occupations, plus (2) measurements related to the orientation: the laser ranging and interferometry from the earth. The review does not cover determinations of topography from photography taken for geologic or landing reconnaissance purposes. The discussion of tectonic implications is limited to inferences of a quantitative nature. The emphasis is on work since 1970; see Kaula [1969, 1971] for reviews of earlier work.

William M. Kaula↗

Observations of tropospheric phase scintillations at 5 GHz on vertical paths

The article presents observations of turbulence-induced tropospheric phase fluctuations measured at 5 GHz on the near-vertical paths relevant to many astronomical and geophysical measurements. The data are summarized as phase power spectra, structure functions, and Allan variances. Comparisons to other microwave observations indicate relatively good agreement in both the level and shape of the power spectrum of these tropospheric phase fluctuations. Implications for precision Doppler tracking of spacecraft and geodesy/radio interferometry are discussed.

Armstrong, J. W.↗

Radio tracking with the Deep Space Network

Range and Doppler measurements for the Mariner 6 and 7 spacecraft are described. The Doppler tracking system and the two systems of spacecraft ranging apparatus being used in the Deep Space Network are illustrated. Charged particle calibration is considered. Equipment characteristics are presented for the ranging apparatus.

Martin, W. L.↗