  HESS J0632+057 belongs to a rare subclass of binary systems which emits
gamma-rays above 100 GeV. It stands out for its distinctive high-energy light
curve, which features a sharp ``primary'' peak and broader ``secondary'' peak.
We present the results of contemporaneous observations by NuSTAR and VERITAS
during the secondary peak between Dec. 2019 and Feb. 2020, when the orbital
phase ($\phi$) is between 0.55 and 0.75. NuSTAR detected X-ray spectral
evolution, while VERITAS detected TeV emission. We fit a leptonic
wind-collision model to the multi-wavelength spectra data obtained over the
four NuSTAR and VERITAS observations, constraining the pulsar spin-down
luminosity and the magnetization parameter at the shock. Despite long-term
monitoring of the source from Oct. 2019 to Mar. 2020, the MDM observatory did
not detect significant variation in H$\alpha$ and H$\beta$ line equivalent
widths, an expected signature of Be-disk interaction with the pulsar.
Furthermore, fitting folded Swift-XRT light curve data with an intra-binary
shock model constrained the orbital parameters, suggesting two orbital phases
(at $\phi_D = 0.13$ and 0.37) where the pulsar crosses the Be-disk, as well as
phases for the periastron ($\phi_0 = 0.30$) and inferior conjunction
($\phi_{\text{IFC}} = 0.75$). The broad-band X-ray spectra with Swift-XRT and
NuSTAR allowed us to measure a higher neutral hydrogen column density at one of
the predicted disk-passing phases.
