Multimessenger strategy for downselecting the orientations of Galactic close white dwarf binaries

The planned space-based gravitational wave detector, the Laser Interferometer Space Antenna, will provide a fundamentally new means of studying the orbital alignment of close white dwarf binaries. However, due to the inherent symmetry of their gravitational wave signals, a fourfold degeneracy arises in the transverse projections of their angular momentum vectors. In this paper, we demonstrate that by incorporating timing information from electromagnetic observations, such as radial velocity modulations and light curves, this degeneracy can be reduced to twofold.