We report precise measures of the orbital and superhump period in twenty more
dwarf novae. For ten stars, we report new and confirmed spectroscopic periods -
signifying the orbital period P_o - as well as the superhump period P_sh. These
are GX Cas, HO Del, HS Vir, BC UMa, RZ Leo, KV Dra, KS UMa, TU Crt, QW Ser, and
RZ Sge. For the remaining ten, we report a medley of P_o and P_sh measurements
from photometry; most are new, with some confirmations of previous values.
These are KV And, LL And, WX Cet, MM Hya, AO Oct, V2051 Oph, NY Ser, KK Tel, HV
Vir, and RX J1155.4-5641.
Periods, as usual, can be measured to high accuracy, and these are of special
interest since they carry dynamical information about the binary. We still have
not quite learned how to read the music, but a few things are clear. The
fractional superhump excess epsilon [=(P_sh-P_o)/P_o] varies smoothly with P_o.
The scatter of the points about that smooth curve is quite low, and can be used
to limit the intrinsic scatter in M_1, the white dwarf mass, and the
mass-radius relation of the secondary. The dispersion in M_1 does not exceed
24%, and the secondary-star radii scatter by no more than 11% from a fixed
mass-radius relation. For the well-behaved part of epsilon(P_o) space, we
estimate from superhump theory that the secondaries are 18+-6% larger than
theoretical ZAMS stars. This affects some other testable predictions about the
secondaries: at a fixed P_o, it suggests that the secondaries are (compared
with ZAMS predictions) 40+-14% less massive, 12+-4% smaller, 19+-6% cooler, and
less luminous by a factor 2.5(7). The presence of a well-defined mass-radius
relation, reflected in a well-defined epsilon(P_o) relation, strongly limits
effects of nuclear evolution in the secondaries.Comment: PDF, 62 pages, 7 tables, 21 figures; accepted, in press, to appear
November 2003, PASP; more info at http://cba.phys.columbia.edu