up ȁ80% of observed meteorite falls, but so far very few asteroid spectral analogs have been identified for these me-Laboratory results from a simulation of possible optical effects of impact melting and repeated crystallization on asteroi-teorites. dal surfaces are presented. Quick melting and crystallization The S-asteroids are widespread in the inner… (More)
Introduction: Goal of this study is to make a progress in understanding the optical effects of space weathering on small bodies believed to be similar in composition to carbonaceous chondrites: C, G, B, F, T, D, and P a steroids and possibly Martian satellites Phobos and Deimos. The companion work  focuses on petrological and mineralogical aspects of… (More)
a r t i c l e i n f o a b s t r a c t To simulate the formation of impact glasses on Mars, an analogue of martian bright soil (altered volcanic soil JSC Mars-1) was melted at relevant oxygen fugacities using a pulsed laser and a resistance furnace. Reduction of Fe 3+ to Fe 2+ and in some cases formation of nanophase Fe 0 in the glasses were documented by… (More)
Introduction: The MERTIS (Mercury Thermal Imaging Spectrometer) instrument on the ESA mission BepiColombo will study the surface of Mercury in the wavelength range from 7 to 14 µm. The analysis of the MERTIS data will be posing a number of significant challenges. To facilitate the development of analytic tools, support planned ground based observations and… (More)
We present a mathematical analysis of transformations used in fast calculation of inverse square root for single-precision floating-point numbers. Optimal values of the so called magic constants are derived in a systematic way, minimizing either absolute or relative errors at subsequent stages of the discussed algorithm.
In the first part of the paper we present a short review of applications of digital differential analyzers (DDA) to generation of circles showing that they can be treated as one-step numerical schemes. In the second part we present and discuss a novel fast algorithm based on a two-step numerical scheme (explicit midpoint rule). Although our algorithm is as… (More)