Nascap-2k is the updated version of the NASCAP/GEO spacecraft charging analysis code. In addition to packaging the physical content of NASCAP/GEO in a modern way, Nascap-2k incorporates other plasma analysis codes (in particular, the DynaPAC code) in order to extend its applicability to a wide variety of plasma environments. Nascap-2k also includes an interactive Object Toolkit for defining spacecraft surface models for analysis. In this paper we focus on the tenuous plasma charging capabilities of the code, with application to DSCS-III (geosynchronous environment), STEREO (solar wind environment) and MESSENGER (solar wind environment near 0.4 AU).
We present a particle-in-cell (PIC) method using a nonhomogeneous immersed-finite-element (IFE) field solver for modeling dielectric surface charging of complex-shaped objects in plasmas. The IFE solver allows PIC codes using a Cartesian mesh applied to simulations involving arbitrarily shaped objects with a similar accuracy as that using a body-fitting mesh. The object surface is treated as an interface. Surface charging is calculated directly from charge deposition at the interface, and the electrostatic fields on both sides of the interface are resolved self-consistently. The capability of the nonhomogeneous IFE-PIC method is demonstrated by a simulation study of the charging of an irregular-shaped asteroid in the solar wind.
We prove that groups acting geometrically on delta-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero.