Confidence Bands for Isotonic Median Curves using Sign-Tests

Suppose that one observes independent random variables (X1, Y1), (X2, Y2), …, (Xn, Yn) in R2 with unknown distributions, except that Median(Yi | Xi = M(x) for some unknown isotonic function M. We describe an explicit algorithm for the computation of confidence bands for the median function M whose running time is of order O(n2). The bands rely on multiscale sign tests and are shown to have desirable asymptotic properties.

Extraction of spin periods of space debris from optical light curves

The population of space debris increased drastically during the last years. These objects have become a great threat for active satellites. Because the relative velocities between space debris and satellites are high, space debris objects may destroy active satellites through collisions. Furthermore, collisions involving massive objects produce large number of fragments leading to significant growth of the space debris population. The long term evolution of the debris population is essentially driven by so-called catastrophic collisions. An effective remediation measure in order to stabilize the population in Low Earth Orbit (LEO) is therefore the removal of large, massive space debris. To remove these objects, not only precise orbits, but also more detailed information about their attitude states will be required. One important property of an object targeted for removal is its spin period, spin axis orientation and their change over time. Rotating objects will produce periodic brightness variations with frequencies which are related to the spin periods. Such a brightness variation over time is called a light curve. Collecting, but also processing light curves is challenging due to several reasons. Light curves may be undersampled, low frequency components due to phase angle and atmospheric extinction changes may be present, and beat frequencies may occur when the rotation period is close to a multiple of the sampling period. Depending on the method which is used to extract the frequencies, also method-specific properties have to be taken into account. The astronomical Institute of the University of Bern (AIUB) light curve database will be introduced, which contains more than 1,300 light curves acquired over more than seven years. We will discuss properties and reliability of different time series analysis methods tested and currently used by AIUB for the light curve processing. Extracted frequencies and reconstructed phases for some interesting targets, e.g. GLONASS satellites, for which also SLR data were available for the period confirmation, will be presented. Finally we will present the reconstructed phase and its evolution over time of a High-Area-to-Mass-Ratio (HAMR) object, which AIUB observed for several years.

Die Schlacht bei Kolding, am 23sten April 1849 : Nach den besten und ausführlichsten Quellen: dienstlichen Berichten, Mittheilungen von Augenzeugen etc., bearbeitet und herausgegeben ; mit einem Plane des Schlachtfeldes

Welsch (Projektbearbeiter): Beschreibung der Schlacht von Kolding (22./23. April 1849): Sieg der schleswig-holsteinischen Armee unter Bonin über die Dänen unter Bülow

Die Schlacht bei Schleswig, am 23sten April 1848 : nach den besten und ausführlichsten Quellen: dienstlichen Berichten, Mittheilungen von Augenzeugen etc., bearbeitet und herausgegeben ; mit einem Plane des Schlachtfeldes

Welsch (Projektbearbeiter): Darstellung der Schlacht bei Schleswig: Sieg der von preußischen und anderen Bundestruppen unterstützten schleswig-holsteinischen Armee über die Dänen (23. April 1848)

Der Kampf in Dresden im Mai 1849 : mit einem Plane ; mit besonderer Rücksicht auf die Mitwirkung der Preußischen Truppen geschildert und militairisch beleuchtet

Boberach: Die Darstellung berücksichtigt besonders die neuen Erfahrungen mit dem Straßen- und Häuserkampf, die Eisenbahnen als Truppenbeförderungsmittel, die Erprobung des Zündnadelgewehrs

Photometric monitoring of non-resolved space debris and databases of optical light curves.

The population of space debris increased drastically during the last years. Collisions involving massive objects may produce large number of fragments leading to significantly growth of the space debris population. An effective remediation measure in order to stabilize the population in LEO, is therefore the removal of large, massive space debris. To remove these objects, not only precise orbits, but also more detailed information about their attitude states will be required. One important property of an object targeted for removal is its spin period and spin axis orientation. If we observe a rotating object, the observer sees different surface areas of the object which leads to changes in the measured intensity. Rotating objects will produce periodic brightness vari ations with frequencies which are related to the spin periods. Photometric monitoring is the real tool for remote diagnostics of the satellite rotation around its center of mass. This information is also useful, for example, in case of contingency. Moreover, it is also important to take into account the orientation of non-spherical body (e.g. space debris) in the numerical integration of its motion when a close approach with the another spacecr aft is predicted. We introduce the two databases of light curves: the AIUB data base, which contains about a thousand light curves of LEO, MEO and high-altitude debris objects (including a few functional objects) obtained over more than seven years, and the data base of the Astronomical Observatory of Odessa University (Ukraine), which contains the results of more than 10 years of photometric monitoring of functioning satellites and large space debris objects in low Earth orbit. AIUB used its 1m ZIMLAT telescope for all light curves. For tracking low-orbit satellites, the Astronomical Observatory of Odessa used the KT-50 telescope, which has an alt-azimuth mount and allows tracking objects moving at a high angular velocity. The diameter of the KT-50 main mirror is 0.5 m, and the focal length is 3 m. The Odessa's Atlas of light curves includes almost 5,5 thousand light curves for ~500 correlated objects from a time period of 2005-2014. The processing of light curves and the determination of the rotation period in the inertial frame is challenging. Extracted frequencies and reconstructed phases for some interesting targets, e.g. GLONASS satellites, for which also SLR data were available for confirmation, will be presented. The rotation of the Envisat satellite after its sudden failure will be analyzed. The deceleration of its rotation rate within 3 years is studied together with the attempt to determine the orientation of the rotation axis.

Die Erlebnisse der Schweizerkompagnie in Venedig : ein Beitrag zur Geschichte des venetianischen Freiheitskampfes ; mit einem Plane von Venedig und den Lagunen

Boberach: Schweizer Freiwillige aus einem Dorf zwischen Thurgau und Zürich haben am Kampf gegen die österreichische Herrschaft im Juni 1848 teilgenommen

Die Berliner Märztage: vom militairischen Standpunkte aus geschildert : mit einem Plane

Boberach: Der Rückzug der Truppen war militärisch nicht nötig, die Ausgangslage für eine Unterdrückung der revolutionären Bewegung günstig, aber Arnim und Bodelschwingh haben den König falsch beraten. - Welsch (Projektbearbeiter): Verfaßt vom preußischen Obersten K. G. Schulz im Auftrag des Generals v. Prittwitz [Hachtmann, R.: Berlin 1848; 1997, S. 54, Anm. 86]. Prittwitz war im März 1848 Kommandeur des Berliner Gardekorps und leitete den Kampf gegen die Berliner Aufständischen

Versuch einer Darstellung der allgemeinen Geschichte, nach dem Plane des seligen Herrn Professors Franz Joseph von Mumelter

von Franz de Paula Michael Reisser

Prag und seine Umgebungen : Mit einem Anhange, einem Plane der Stadt, und vier Ansichten, dann einer Postkarte und einem Briefposten-Tableau durch Böhmen

von C. E. Rainold

H.G. Ollendorff's neue Methode, in sechs Monaten eine Sprache lesen, schreiben und sprechen zu lernen : Anleitung zur Erlernung der polnischen Sprache nach einem neuen und vollständigeren Plane für den Schul- und Privatunterricht

verfaßt von M. Joel, Lehrer der slawischen Sprachen und Literatur