© Nature Publishing Group 1977
514
3 Stein_ W. Astrophysl. 148, 689(1967)
4
Colvm, J.D. Astrophys J. 190,515 (1974).
5
C_harugin, V. M. Astrophys. Space Sci. 37,449 (1975).
Smgh, R. P. Planet Space Sci. 20,2073 (1972)
V. V., Somayajulu & B. A. P. Planet Space Sci. 21,
: Horita, R. E. Planet Space Sci. 20,409 (1972).
10
Bell, T. F. & Buneman, D. Phys. Rev. 133A, 1300 (1964)
Kulsrud, R. & Pearce, W. Astrophys. J. 156,445 (1969). ·
1\t!easuring solar wind velocity
With spacecraft phase scintillations
TH: discovery of interplanetary scintillations (IPS) of natural
radw sources
1
_ has been followed by extensive multiple-station
?r IPS measurements of the solar wind velocity
m regwns not yet probed by direct spacecraft"-"· Few measure-
have, h?wever, been obtained within 40 R
0
because
amphtude. or mtensity scintillations saturate when they are
strong as IS the case near the Sun. This is unfortunate because
the scarcity of wind velocity measurements in the acceleration
close the Sun is one of the reasons why the construc-
tion of a .umque p!cture of solar wind dynamics has not yet
been poss1ble, desp1te numerous theoretical studies and direct
spacecraft observations farther out
9
•
10
• The demonstration of
the measurement of spacecraft phase scintillations with a
cohe.rent radio system
11
paves the way for
solar _velocity measurements with multiple-
statiOn scmttllatwns. Although similar in principle to the
IPS techmque, several factors make this new tool a more
powerful and promising one.
Because phase scintillations do not saturate when they are
strong, observations can be carried out closer to the Sun than
with amplitude scintillations. Spectral broadening has this
same property
12
and we have obtained measurements at 2.3 GHz
as_ cl?se 1.7 R0 with the Helios spacecraft. Extensive phase
sc_mtiilatwn observations in the accleration region of the solar
wmd are, therefore, possible using a dual-frequency S- and
X-band coherent radio link
11
•
For multiple-station observations the baselines are restricted
to distances shorter than the correlation distance of the observed
scintillations. For amplitude scintillations the correlation
distance is of the order of the size of the fi;st Fresnel zone
1
a
which is roughly 140 km at 2.3 GHz. On the other hand
the correlation distance for phase scintillations is at least
10
6
km (refs 11, 13), a much wider range of baselines is possible.
Particularly suited for these measurements are the three 64-m
S- and X-band tracking antennae of NASA's Deep Space Net
located at Goldstone (California), Canberra and Madrid. These
antennae can be used for two-station observations with base-
lines of the order of 10
4
km.
Because the slowly varying phase scintillations are consider-
ably stronger than the faster varying amplitude scintillations
1
a
the signal-noise ratio (SNR) needed for long baseline
measurements is much lower than that needed for short base-
line amplitude measurements. The frequency spectrum of the
phase scintillations
11
•
13
indiates that if the baseline distance is
increased by a factor of 10 the SNR can be reduced by at least
20 dB. The choice of observing antennae for phase scintillations
is, therefore, flexible, since a wide range of antenna sizes and
recei':er noise temperatures can be considered, in addition to
range of baseline distances. This is especially important
smce It would be desirable to add observing antennae to the
group of NASA 64-m antennae to permit three-station measure-
ments. Also, for a given SNR, slowly varying phase scintillations
yield measurements at larger solar elongations than faster
amplitude scintillations.
We have discussed some of the important advantages of
measuring solar wind velocity with multiple-station phase
scintillations. Current and future NASA deep space missions
e'!-uipped with the coherent S/X radio system include Viking,
Pwneer Venus and Mariner Jupiter/Saturn. Extensive obser-
vati?ns this new technique during the numerous superior
conjunctions of these spacecraft will provide much needed
Nature Vol. 266 7 April 1977
measurements in the acceleration region of the solar
wmd. These proposed observations will complement the large
number _of measuremen!s that have been and are still being
made With natural radto sources and will lead to a better
of the dynamics and driving mechanisms of the
solar wmd.
This work was supported by NASA.
Jet Propulsion Laboratory,
California Institute of Technology,
Pasadena, California 91103
Received 13 December 1976; accepted 10 February 1977.
RICHARD Woo
Hewish, A., Scott, P. F. & Wills. D. Nature 203,1214-1217 (1964).
Hew1sh, A., Denmson, P. A. & Pilkington, J.D. H. Nature 209, 1188 1189 (1966).
3
Denmson, P. A. & Hew ish, A. Nature 21.l, 343-346 ( 1967).
R. D. & Little, L. T. Astr. Astroph_vs. IO, 310-316 ( 1971).
V•tkevJtch, V. V. & Vlasov, V.I. Sol'iet Astr. 16,480-489 ( 1972).
T., ShJbasak1, K. & Kakmuma, T. J. geophys. Res. 79,
7
Coles, W. A., Rickett! & ':'·H. in 5lo/ar Wind Three (ed. Russell,
8
C. T.) 351-367 ot Cahlorma, Los Angeles, 1974).
9
Coles, W. A. & R1ckett, H. J. J. geophys. Rev. _81, 4797-4799 (1976).
Hundhausen, A. J. Coronal Expmts/011 and .)o/ar Wuul (Sprmgcr-Verhg New
York, 1972). ' '
A. Rev. Geophys. Space Phys. 13,1049-105.1 (1975).
12
Woo, R., Yang, F. C., Yip, K. W. & Kendall, W. B. Astroph_v1. J. 208 (1976).
Woo, R., Yang, F. C. & JsiHmaru, A. Astrophys . .!. 208 (1976).
13 Woo, R. Astrophys. J. 20I, 2.18-248 (1975).
Tidal acceleration of
the moon deduced from
observations of artificial satellites
DoUGLAS et a!.
1
demonstrated the existence of an apparent
latitude dependence of tidal friction by determining disparate
values of the second degree Love number (k e) from perturba-
tions of the inclinations of the G EOS-1 and G EOS-2 satellites.
Lambeck et a!.
2
correctly explained this phenomenon as being
due to neglect of ocean tide perturbations. Parameter values
for some ocean tide components have been obtained from
several satellites
3
, but parameter values for the M 2 tide, the
dominant (85 %) effect of the oceans on the tidal acceleration
of the Moon, have not been published. Using an improved
method for computing mean elements, we
4
obtained an observa-
tion equation for the Me tide from the satellite 1967-92A.
Applying this technique to the satellite GEOS-3, we now
obtain an additional observation equation for the Me tide.
As shown in ref. 2, solid and fluid tide effects on satellites
cannot be separated, requiring assumption of the solid tide
amplitude and phase parameters for a fluid tide solution.
Assuming k
2
0.30, 8
2
= 0', and using the values of Lambeck
5
for the minor 0
1
and Ne contributions to 1i,, our fluid tide para-
meters for theM
2
ocean tide yield the value of the tidal accelera-
tion ti, -- 27.4±3 arc s (100 yr)-
2
, in excellent agreement
with the value il, = --27.2+ 1.7 arcs (100 yr)-
2
obtained by
Muller
6
from a combination of ancient and modern
observations. These two values are lower than the value
n, = -35±4 arcs (100 yr)
2
obtained from numerical ocean
tide models
5
• Our assumption of a negligible solid tide phase
angle is supported by a recent determination by J. T. Kuo
(personal communication) that the phase angle obtained from a
transcontinental network of tidal gravimetric stations is < I
0
•
Changes 0.5° in solid tide phase angle change our result
for the combined solid/fluid il, by no more than I arc s per
(IOOyr) (ref. 2).
C. C. GOAD
B. C. DoUGLAS
National Oceanic and Atmospheric Administration,
National Ocean Survey,
Geodetic Research and Development Laboratory,
Rockville, Maryland 20852
Received 18 January; accepted 16' February 1977.
1 Douglas, B. C .• Klosko. S. M., Marsh. J. G. & Williamson, R. G. Ce/esfi(/1
Mechanics 10, 165-168 (1974).
z Lambeck, K., Cazcnave, A. & Balmino, Rev. Geophys. Space Phys.
12,421--434 (1974).