On a weighted embedding for pontograms

AbstractA generalized pontogram {Kn(t): 0 ⩽ t ⩽ 1} corresponding pointwise to a renewal counting process {N(x): 0 ⩽ x < ∞} via Kn(t) = n−12(N(nt)−tN(n)) is investigated in this paper. A weighted embedding for the process {Kn(t): 0 ⩽ t ⩽ 1} is studied. After proper normalization, weak convergence results for the processes {Kn(t): 0 ⩽ t ⩽ 1} are derived both in sup-norm as well as in Lp-norm

Review of a compilation process: a map package based on 15 individual geological maps of Ceres

One aim of the NASA Dawn mission was to generate global geologic maps of the asteroid Vesta and the dwarf planet Ceres. The geological mapping campaign of Vesta was completed and results have been published in e.g. [1]. Recently also geologic mapping of Ceres has been completed. The tiling used in this mapping project is based on recommendations by [2], and is divided into two parts (for Ceres described in [3,4]): four overview quadrangles (Survey Orbit, 415 m/pixel) and 15 more detailed quadrangles (High Altitude Mapping HAMO, 140 m/pixel). The atlases are available to the public through the Dawn webpage (dawngis.dlr.de/atlas) and the NASA Planetary Data System (PDS) (pdssbn.astro.umd.edu). The first global geologic map at a scale of 1:2.5 M is based on survey and HAMO images [5]. A more detailed view could be expected within the 15 quadrangles (HAMO tiles, [4]) which were completed by the Low Altitude Mapping (LAMO) data (over 31,300 clear filter images during 11 cycles, 35 m/pixel). Based on these data a global mosaic was created that serves as basis for a high-resolution LAMO atlas that consists of 62 tiles mapped at a scale of 1:250K [6, availability see links above] and was also used as basemap for the mapping project

Life cycle of a planetary body definition for scientific analysis

Something as seemingly simple as defining the size of a planetary body is a critical first step required to support the creation of all mapping products and resulting scientific analysis. The life cycle in defining the body size is evolved from the initial Earth-based observations, then refined using acquired data from planetary missions, published in the peer-reviewed literature and adopted by standards- setting working groups, integrated into various libraries and applications, and finally made available for the creation of derived cartographic data products. Here we expose these steps to help users understand the benefits for using standardized definitions to enable data usability and interoperability by looking at the definition for the moon Enceladus

Research products across space missions: a prototype for central storage, visualization and usability

For planetary sciences, the main archives to archived access to mission data are ESA's Planetary Science Archive (PSA) and the Planetary Data System (PSA) nodes in the USA. Along with recent and upcoming planetary missions the amount of different data (remote sensing/in-situ data, derived products) increases constantly and serves as basis for scientific research resulting in derived scientific data and information. Within missions to Mercury (BepiColombo), the Outer Solar System moons (JUICE), and asteroids (NASA`s DAWN), one way of scientific analysis, the systematic mapping of surfaces, has received new impulses, also in Europe. These systematic surface analyses are based on the numeric and visual comparison and combination of different remote sensing data sets, such as optical image data, spectral-/hyperspectral sensor data, radar images, and/or derived products like digital terrain models. The analyses mainly results in map figures, data, and profiles/diagrams, and serves for describing research investigations within scientific publications

Forschungsdaten fernab der Erde: ein Prototyp für die planetare Anwendung

In den Planetenwissenschaften ist die Menge der Fernerkundungsdaten und der daraus abgeleiteten Forschungsprodukte in den letzten Jahrzehnten kontinuierlich gestiegen. Die Menge und Komplexität der Daten erforderten eine immer komplexere Datenanalyse, Datenverwaltung und Datenbereitstellung für eine breitere Forschungsgemeinschaft. In diesem Beitrag stellen wir einen Prototyp für die strukturierte Speicherung, Verwaltung und Visualisierung planetarer, raumbezogener Forschungsdaten vor, um eine transparente, langfristige und somit nachhaltige Wiederverwendung zu ermöglichen. Die Entwicklung basiert auf Technologien, die ursprünglich für erdbezogene Anwendungen entwickelt wurden