MOTION AND LENGTH OF DAY) dene this trans- Space Geo desy
formation.
Denitions and Principles
The role of the Earth's atmosphere
Geodesy is the science studying the size and the g-
ure of the Earth including the determination of the
In space geo desy the signals of the observed or ob-
Earth's gravity eld. Geodetic astronomy is that
serving celestial b o dies have to cross the Earth's
part of astronomy dealing with the denition and
atmosphere. This changes the path and the travel
realization of a terrestrial and a celestial reference
times of the signals. These are referred to as re -
frame (cf. TERRESTRIAL COORDINATE SYSTEMS &
fraction eects. Refraction is usually considered
FRAMES). By Space Geodesy we mean, then, those
a nuisance in astronomy, geo desy and geo dynam-
asp ects of geo desy and geo detic astronomy stud-
ics as a matter of fact it is the motivation for
ied by using natural or articial celestial b o dies as
many spaceb orne exp eriments related to this eld
observed ob jects or as observing platforms. In the
of science. In recent years refraction eects are
older literature the term Cosmic Geodesy is some-
more and more considered and understo o d as a pri-
times used as a synonym. Space geo desy is thus
mary source of information for atmosphere science
dened through the observation techniques, b elow
and are monitored through space geo detic meth-
referred to as space geo detic techniques, or meth-
o ds. Let us p oint out that the same signals and
o ds.
space geo detic analysis metho ds are used to study
Space geo desy evolved rapidly in the second
the Earth's atmosphere as for geo detic and geo-
half of the twentieth century. The space age wa s
dynamics purp oses. Interdisciplinary studies and
initiated by the launch of the rst articial satel-
pro jects have b ecome imp ortant asp ects in mo d-
lite, Sputnik I, on Octob er 4 of the International
ern space geo desy.
Geophysical Year 1957. In the space age it b e-
Whether the atmosphere related signal is use-
came p ossible to deploy and use articial satellites
ful dep ends on the wavelengths of the analyzed sig-
either to study size and gure of the Earth from
nals. If we measure, e.g., distances or distance dif-
space or to observe them as targets from the surface
ferences to satellites using optical signals, refrac-
of the Earth. The use of articial Earth satellites
tion eects may b e computed with sub-centimeter
for geo detic purp oses is also referred to as satel lite
accuracy using pressure, temp erature and humid-
geodesy. The second essential development consists
ity registrations at the observing sites. We may
of the Very Long Baseline Interferometry (VLBI)
therefore conclude, e.g., that laser ranging is not
technique as a new to ol to realize an extraordinarily
capable of contributing to atmosphere monitoring.
accurate and stable inertial reference system and to
This fact may also b e formulated in the p ositive
monitor Earth rotation using quasars (cf. EXTRA-
way: Laser observations are well suited for cali-
GALACTIC REFERENCE FRAMES).
brating other techniques, which are more prone to
Today, space geo detic techniques are the pri-
atmospheric eects.
mary to ols to study size, gure and deformation
For microwave techniques (Doppler, GPS,
of the Earth, and its motion as a nite b o dy in
VLBI) we have to distinguish b etween ionospheric
the inertial reference system (cf. SPACE&TIME REF-
refraction stemming from the ionized upp er part of
ERENCES: CONCEPTS). Space geo detic techniques
the atmosphere (extending up to ab out 1500km)
thus are the fundamental to ols for geo desy, geo de-
and trop ospheric refraction, stemming from the
tic astronomy, and geo dynamics.
lower, neutral layers of the atmosphere. Iono-
Space geo detic observations contain informa-
spheric refraction is wavelength-dependent and
tion ab out the p osition (and motion) of the ob-
may b e (almost completely) eliminated if coherent
served ob ject and the observer. Therefore, space
signals are sent through the atmosphere on dier-
geo detic observations also contain information con-
ent carrier wavelengths. In the VLBI technique
cerning the transformation b etween the terrestrial
this is achieved by observing the quasars in dier-
and the inertial systems. The Earth orientation pa-
ent wavelengths, in the Doppler or GPS technique
rameters, i.e., p olar motion, UT1, precession and
the same is achieved by using two dierent wave-
nutation (cf. EARTH ROTATION: THEORY, POLAR 1
vations from dierent sites was p ossible. lengths for signal transmission.
Fascinating results came out of this rst phase For microwave techniques trop ospheric refrac-
of satellite geo desy. The geo detic datums on dif- tion is the ultimate accuracy-limiting comp onent in
ferent continents could b e related to the geo center the error budget. As opp osed to range observations
and thus to each other with an accuracy of ab out in the optical band, we have to take into account
5m. First reliable co ecients of the gravity eld the so-called wet comp onent of trop ospheric re-
(spherical expansion up to degree and order 12-15) fraction, which is highly variable in time and space.
could b e also derived. This fact forces analysts using microwave observa-
The astrometric technique, when applied to ar- tions to introduce station and time sp ecic param-
ticial satellites in the 1960s and 1970s, had seri- eters (or to mo del the eect as a random pro cess).
ous disadvantages. The star catalogues were not It allows, on the other hand, analysts to determine
of suciently go o d quality and the pro cessing time the water vapor content ab ove an observatory with
(time b etween observation and availability of re- high accuracy and high temp oral resolution (Bevis
sults) was of the order of a few weeks in the b est et al., 1992).
case. This, and the advent of new observation tech-
niques promising higher accuracy, actually ruled
Optical p erio d
out astrometric techniques for a number of im-
For centuries optical (astrometric) observations
p ortant applications. The optical technique no
were the only observation type available in astron-
longer played a signicant role in space geo desy
omy. In the pre-space era a series of astromet-
after ab out 1975.
ric instruments was used for the purp ose of den-
In view of newly developed observation tech-
ing a terrestrial reference frame and for monitor-
niques (CCD, Charge Coupled Device techniques
ing Earth rotation. The photographic zenith tub e
(cf. OBSERVATION TECHNIQUES)) and much b et-
and the Danjon astrolabe were probably the most
ter star catalogues based on astrometry missions
advanced of these instruments. They were widely
(e.g., HIPPARCOS mission, (cf. HIPPARCOS)) it
used by observatories contributing to the Interna-
may well b e that optical observations will again
tional Polar Motion Service (IPMS) and the Bu-
play a role in space geo desy in the future.
reau International de l'Heure (BIH) to determine
the geographic latitude of a station with a precision
Doppler p erio d
of ab out 10-40mas (milliarcseconds) in one night.
The U.S. Navy Navigation Satellite System We refer to (Moritz and Mueller, 1988) for more
(NNSS), also called TRANSIT system after the information.
survey transit instrument, had a signicant impact Optical observations where already made of the
on the development of space geo desy. It proved rst generation of articial Earth satellites, like
that a system based on the measurement of the Sputnik 2 and Explorer 1. The ballo on satellites
Doppler shift of a signal generated by a stable oscil- Echo 1 and 2 and PAGEOS (passive geo detic satel-
lator on b oard a satellite could b e used for relative lite), which could even b e seen by naked eye, were
p ositioning with remarkably high accuracies (0.1- observed by a worldwide optical tracking network.
0.5m relative, ab out 1m geo centric). The satel- These satellites were (supp osedly) spherical, con-
lites sent information on two carrier frequencies sisted of layers of aluminized mylar foil, and, thanks
(400Mhz and 150MHz) near the microwave band. to their brightness, their tracks could easily b e pho-
The two frequencies allowed for a comp ensation tographed against the star background. It was not
of ionospheric refraction. Rather small receivers trivial to assign time-tags to sp ecic p oints of the
connected to omni-directional antennas made the track. Much b etter suited from this p oint of view,
technique well suited to establish regional or even although more dicult to track, were smaller satel-
global geo detic networks. Observation p erio ds of a lites like Geos 1 (Explorer 29) and Geos 2 (Ex-
few days were required to obtain the ab ove men- plorer 36) equipp ed with ash lamps allowing for
tioned accuracy. tens of thousands of high-precision optical observa-
The NNSS satellites were in p olar, almost cir- tions. Obviously, the quasi-simultaneity of obser- 2
1976. The two Lageos satellites are in stable, al- cular, orbits ab out 1100km ab ove the Earth's sur-
most circular orbits ab out 6000km ab ove the sur- face. Only one satellite at a time could b e observed
face of the Earth. by one receiver. As opp osed to astrometry the
The two Lageos satellites are primary scientic Doppler technique was weather-independent. Un-
tracking targets for the International Laser Rang- til a signicant part of the Global Positioning Sys-
ing Service (ILRS). The two satellites have con- tem (GPS) was deployed (around 1990) the NNSS
tributed in a signicant way to the determination played a signicant role in space geo desy. Many
of the Earth's gravity eld. Many more targets Doppler campaigns were organized to establish lo-
are regularly observed by the ILRS. Some, like the cal, regional or global networks. With the full de-
French low orbiting satellite Starlette, with a di- ployment of the GPS in the 1990s the geo detic com-
ameter of 24cm, are similar in design to the Lageos munity eventually lost interest in the Doppler sys-
satellites and serve a similar purp ose. For others tem. The Transit system was shut down as as a
SLR is just the primary or backup technique for p ositioning system in December 1996 but contin-
precise orbit determination. ued op erating as an ionospheric monitoring to ol.
For more information concerning the Doppler sys-
tem we refer to (Kouba, 1983).
Satellite and Lunar Laser Ranging (SLR
and LLR)
Laser stands for Light Amplication through Stim-
ulated Emission of Radiation. The laser technique,
developed in the 1950s, is able to generate high
energetic short light pulses (of a few tens of pi-