The Voyager and Pioneer 10 spacecraft are moving upstream and downstre
am into the local interstellar flow, monitoring H Lyman alpha radiatio
n resonantly scattered from heliospheric hydrogen. Voyager Cruise Mane
uver observations obtained between 15 and 35 AU reveal that H Lyman al
pha intensities in the upstream direction fall as r-0.75+/-0.05. Beyon
d 15 AU downstream, Pioneer 10 intensities fall as r-1.07+/-0.1. These
trends cannot be simultaneously reproduced using a hot H distribution
model that does not include termination shock structure. Radiative tr
ansfer calculations using the hot H model predict that upstream intens
ities should fall more rapidly as a function of heliocentric distance
than downstream intensities, precisely opposite to the observed trends
. The Voyager H Lyman alpha intensities also show a distinctive trend
to decrease less rapidly with increasing heliocentric distance. Betwee
n 15 and 20 AU, Voyager intensities fall as r-1, whereas between 30 an
d 35 AU they fall as r-0.35. This flattening trend implies that the up
stream H density is increasing rapidly with heliocentric distance beyo
nd almost-equal-to 25 AU. A simple analysis suggests that the density
distribution changes from nearly uniform between 15 and 20 AU, to r0.6
5 dependence between 30 and 35 AU. This steepening trend is significan
t because similar H density gradients are predicted in models which in
clude the effects of the termination shock. Taken together, the Voyage
r and Pioneer 10 H Lyman alpha observations beyond 15 AU imply the exi
stence of a solar wind termination shock, suggesting that it lies betw
een 70 and 105 AU in the upstream direction.