We measured constant-scaled-energy M=0 spectra of helium Rydberg atoms (n=5
5 to 80) in an electric field, allowing for a test of closed-orbit theory u
nder conditions where bifurcations from the uphill and downhill orbits are
important. Recent advances in the theory (uniform approximation) were imple
mented for a comparison with experimental data. The observed recurrence spe
ctra could be explained in detail as fur as the actions of all hydrogenic o
rbits and the intensities of most recurrences are concerned. Additional pea
ks in the recurrence spectra that correspond to orbits with an action equal
to the sum of two hydrogenic orbits were attributed to scattering at the H
e+ core. This was confirmed in a closed-orbit calculation including the qua
ntum defects in helium. Small changes in the recurrence strength of the hyd
rogenic orbits were found both in experimental recurrence spectra and in th
e closed-orbit calculation for helium, and could be ascribed to the effect
of cure shadowing. [S1050-2947(99)07104-8].