Reflection of solar wind hydrogen from the lunar surface

The solar wind continuously flows out from the Sun and directly interacts with the surfaces of dust and airless planetary bodies throughout the solar system. A significant fraction of solar wind ions reflect from an object's surface as energetic neutral atoms (ENAs). ENA emission from the Moon was first observed during commissioning of the Interstellar Boundary Explorer (IBEX) mission on 3 December 2008. We present the analysis of 10 additional IBEX observations of the Moon while it was illuminated by the solar wind. For the viewing geometry and energy range (> 250 eV) of the IBEX-Hi ENA imager, we find that the spectral shape of the ENA emission from the Moon is well-represented by a linearly decreasing flux with increasing energy. The fraction of the incident solar wind ions reflected as ENAs, which is the ENA albedo and defined quantitatively as the ENA reflection coefficient RN, depends on the incident solar wind speed, ranging from ~0.2 for slow solar wind to ~0.08 for fast solar wind. The average energy per incident solar wind ion that is reflected to space is 30 eV for slow solar wind and 45 eV for fast solar wind. Once ionized, these ENAs can become pickup ions in the solar wind with a unique spectral signature that reaches 3vSW. These results apply beyond the solar system; the reflection process heats plasmas that have significant bulk flow relative to interstellar dust and cools plasmas having no net bulk flow relative to the dust.

Theoretical models of planetary system formation: mass vs. semi-major axis

Context. Planet formation models have been developed during the past years to try to reproduce what has been observed of both the solar system and the extrasolar planets. Some of these models have partially succeeded, but they focus on massive planets and, for the sake of simplicity, exclude planets belonging to planetary systems. However, more and more planets are now found in planetary systems. This tendency, which is a result of radial velocity, transit, and direct imaging surveys, seems to be even more pronounced for low-mass planets. These new observations require improving planet formation models, including new physics, and considering the formation of systems. Aims: In a recent series of papers, we have presented some improvements in the physics of our models, focussing in particular on the internal structure of forming planets, and on the computation of the excitation state of planetesimals and their resulting accretion rate. In this paper, we focus on the concurrent effect of the formation of more than one planet in the same protoplanetary disc and show the effect, in terms of architecture and composition of this multiplicity. Methods: We used an N-body calculation including collision detection to compute the orbital evolution of a planetary system. Moreover, we describe the effect of competition for accretion of gas and solids, as well as the effect of gravitational interactions between planets. Results: We show that the masses and semi-major axes of planets are modified by both the effect of competition and gravitational interactions. We also present the effect of the assumed number of forming planets in the same system (a free parameter of the model), as well as the effect of the inclination and eccentricity damping. We find that the fraction of ejected planets increases from nearly 0 to 8% as we change the number of embryos we seed the system with from 2 to 20 planetary embryos. Moreover, our calculations show that, when considering planets more massive than ~5 M⊕, simulations with 10 or 20 planetary embryos statistically give the same results in terms of mass function and period distribution.

The Science of Exoplanets and Their Systems

A scientific forum on “The Future Science of Exoplanets and Their Systems,” sponsored by Europlanet* and the International Space Science Institute (ISSI)† and co-organized by the Center for Space and Habitability (CSH)‡ of the University of Bern, was held during December 5 and 6, 2012, in Bern, Switzerland. It gathered 24 well-known specialists in exoplanetary, Solar System, and stellar science to discuss the future of the fast-expanding field of exoplanetary research, which now has nearly 1000 objects to analyze and compare and will develop even more quickly over the coming years. The forum discussions included a review of current observational knowledge, efforts for exoplanetary atmosphere characterization and their formation, water formation, atmospheric evolution, habitability aspects, and our understanding of how exoplanets interact with their stellar and galactic environment throughout their history. Several important and timely research areas of focus for further research efforts in the field were identified by the forum participants. These scientific topics are related to the origin and formation of water and its delivery to planetary bodies and the role of the disk in relation to planet formation, including constraints from observations as well as star-planet interaction processes and their consequences for atmosphere-magnetosphere environments, evolution, and habitability. The relevance of these research areas is outlined in this report, and possible themes for future ISSI workshops are identified that may be proposed by the international research community over the coming 2–3 years.

Evidence for extinct Cs-135 from Ba isotopes in Allende CAIs?

he abundance and distribution of isotopes throughout the Solar System can be used to constrain the number and type of nucleosynthetic events that contributed material to the early nebula. Barium is particularly well suited to quantifying the degree of isotope heterogeneity in the Solar System because it comprises seven stable isotopes that were synthesized by three different nucleosynthetic processes (s-, r-, and p-processes), all of which contributed material to the Solar System. There is also potential contribution to 135Ba from short-lived radioisotope 135Cs, conclusive evidence for which is yet to be reported. Four Allende (CV3) Ca,Al-rich inclusions (CAI 1, CAI 2, CAI 4, CAI 5) and one Allende dark inclusion (DI) were analyzed for Ba isotope variability. Two CAIs (CAI 2 and CAI 5) display 135Ba excesses that are not accompanied by 137Ba anomalies. Calcium–aluminum-rich inclusion 1 displays a 135Ba excess that is possibly coupled with a 137Ba excess, and the remaining refractory inclusions (CAI 2 and DI) have terrestrial Ba isotope compositions. These Ba isotope data are presented in conjunction with published whole rock Ba isotope data from individual Allende CAIs. The enrichment in 135Ba and absence of coupled 137Ba excesses in CAI 2 and CAI 5 is interpreted to indicate that the anomalies are not purely nucleosynthetic in origin but also contain contributions (16–48 ppm) from the decay of short-lived 135Cs. The majority of Allende CAIs studied to date may also have similar contributions from 135Cs on the basis of higher than expected 135Ba excesses if the Ba isotope anomalies were purely nucleosynthetic in origin. The 135Ba anomalies appear not to be coupled with superchondritic Cs/Ba, which may imply that the contribution to 135Ba did not occur via in situ decay of live 135Cs. However, it is feasible that the CAIs had a superchondritic Cs/Ba during decay of 135Cs, but Cs was subsequently removed from the system during aqueous alteration on the parent body. An alternative scenario is the potential existence of a transient high-temperature reservoir having superchondritic Cs/Ba in the early Solar System while 135Cs was extant, which enabled a radiogenic 135Ba signature to develop in some early condensates. The nucleosynthetic source of 135Cs can be determined by reconciling the predicted astrophysical 135Cs abundance with its measured abundance in meteorites. Further, the currently accepted initial 135Cs/133Cs of the Solar System, [135Cs/133Cs]0, may be underestimated because the spread of Cs/Ba among samples is small and the range of excess 135Ba is limited thus leading to inaccuracies when estimating [135Cs/133Cs]0. If the initial meteoritic abundance of 135Cs was indeed higher than is currently thought, the most probable stellar source of short-lived radioisotopes was a nearby core-collapse supernova and/or the Wolf–Rayet wind driven by its progenitor.

Modeled Interaction of Comet 67P/Churyumov-Gerasimenko with the Solar Wind Inside 2 AU

Periodic comets move around the Sun on elliptical orbits. As such comet 67P/Churyumov-Gerasimenko (hereafter 67P) spends a portion of time in the inner solar system where it is exposed to increased solar insolation. Therefore given the change in heliocentric distance, in case of 67P from aphelion at 5.68 AU to perihelion at ~1.24 AU, the comet’s activity—the production of neutral gas and dust—undergoes significant variations. As a consequence, during the inbound portion, the mass loading of the solar wind increases and extends to larger spatial scales. This paper investigates how this interaction changes the character of the plasma environment of the comet by means of multifluid MHD simulations. The multifluid MHD model is capable of separating the dynamics of the solar wind ions and the pick-up ions created through photoionization and electron impact ionization in the coma of the comet. We show how two of the major boundaries, the bow shock and the diamagnetic cavity, form and develop as the comet moves through the inner solar system. Likewise for 67P, although most likely shifted back in time with respect to perihelion passage, this process is reversed on the outbound portion of the orbit. The presented model herein is able to reproduce some of the key features previously only accessible to particle-based models that take full account of the ions’ gyration. The results shown herein are in decent agreement to these hybrid-type kinetic simulations.

Palladium Isotopic Evidence for Nucleosynthetic and Cosmogenic Isotope Anomalies in IVB Iron Meteorites

The origin of ubiquitous nucleosynthetic isotope anomalies in meteorites may represent spatial and/or temporal heterogeneity in the sources that supplied material to the nascent solar nebula, or enhancement by chemical processing. For elements beyond the Fe peak, deficits in s-process isotopes have been reported in some (e.g., Mo, Ru, W) but not all refractory elements studied (e.g., Os) that, among the iron meteorites, are most pronounced in IVB iron meteorites. Palladium is a non-refractory element in the same mass region as Mo and Ru. In this study, we report the first precise Pd isotopic abundances from IVB irons to test the mechanisms proposed for the origin of isotope anomalies. First, this study determined the existence of a cosmogenic neutron dosimeter from the reaction 103Rh(n, beta-)104Pd in the form of excess 104Pd, correlated with excess 192Pt, in IVB irons. Second, all IVB irons show a deficit of the s-process only isotope 104Pd (\varepsilon 104Pd = -0.48 ± 0.24), an excess of the r-only isotope 110Pd (\varepsilon 110Pd = +0.46 ± 0.12), and no resolvable anomaly in the p-process 102Pd (\varepsilon 102Pd = +1 ± 1). The magnitude of the Pd isotope anomaly is about half that predicted from a uniform depletion of the s-process yields from the correlated isotope anomalies of refractory Mo and Ru. The discrepancy is best understood as the result of nebular processing of the less refractory Pd, implying that all the observed nucleosynthetic anomalies in meteorites are likely to be isotopic relicts. The Mo-Ru-Pd isotope systematics do not support enhanced rates of the 22Ne(alpha,n)25Mg neutron source for the solar system s-process.

Helium concentrations of late Miocene sediments

Throughout the history of the Solar System, Earth has been bombarded by interplanetary dust particles (IDPs), which are asteroid and comet fragments of diameter 1-1,000 µm. The IDP flux is believed to be in quasi-steady state: particles created by episodic main belt collisions or cometary fragmentation replace those removed by comminution, dynamical ejection, and planetary or solar impact. Because IDPs are rich in 3He, seafloor sediment 3He concentrations provide a unique means of probing the major events that have affected the IDP flux and its source bodies over geological timescales (Farley et al., 1998, doi:10.1126/science.280.5367.1250; Takayanagi and Ozima, 1987, doi:10.1029/JB092iB12p12531; Farley, 1995, doi:10.1038/376153a0; Kortenkamp and Dermott, 1998, doi:10.1126/science.280.5365.874). Here we report that collisional disruption of the >150-km-diameter asteroid that created the Veritas family 8.3 +/- 0.5 Myr ago (Nesvorny et al., 2003, doi:10.1086/374807) also produced a transient increase in the flux of interplanetary dust-derived 3He. The increase began at 8.2 +/- 0.1 Myr ago, reached a maximum of 4 times pre-event levels, and dissipated over 1.5 Myr. The terrestrial IDP accretion rate was overwhelmingly dominated by Veritas family fragments during the late Miocene. No other event of this magnitude over the past 10**8 yr has been deduced from main belt asteroid orbits. One remarkably similar event is present in the 3He record 35 Myr ago, but its origin by comet shower (Farley et al., 1998, doi:10.1126/science.280.5367.1250) or asteroid collision (Tagle and Claeys, 2004, doi:10.1126/science.1098481) remains uncertain.

Radioisotopes and He accumulation in deep sea sediments of the Ontong Java Plateau

The accumulation of extraterrestrial 3He, a tracer for interplanetary dust particles (IDPs), in sediments from the Ontong Java Plateau (OJP; western equatorial Pacific Ocean) has been shown previously to exhibit a regular cyclicity during the late Pleistocene, with a period of ~100 ka. Those results have been interpreted to reflect periodic variability in the global accretion of IDPs that, in turn, has been linked to changes in the inclination of Earth's orbit with respect to the invariable plane of the solar system. Here we show that the accumulation in OJP sediments of authigenic 230Th, produced by radioactive decay of 234U in seawater, exhibits a 100-ka cyclicity similar in phase and amplitude to that evident in the 3He record. We interpret the similar patterns of 230Th and 3He accumulation to reflect a common origin within the ocean-climate system. Comparing spatial and temporal patterns of sediment accumulation against regional patterns of biological productivity and against the well-established pattern of CaCO3 dissolution in the deep Pacific Ocean leads to the further conclusion that a common 100-ka cycle in accumulation of biogenic, authigenic and extraterrestrial constituents in OJP sediments reflects the influence of climate-related changes in sediment focusing, rather than changes in the rate of production or supply of sedimentary constituents.

Evaluación de un sistema de energía solar térmica basado en colectores de tubos de vacío para suministro de agua a alta temperatura

Esta tesis pretende contribuir al fomento y utilización de la energía solar como alternativa para la producción de agua caliente en el sector agroindustrial. La demanda de agua caliente es un aspecto clave en un gran número de agroindustrias y explotaciones agrarias. Esta demanda presenta una gran variabilidad, tanto en los horarios en que se solicita como en la temperatura del agua del depósito requerida (TADr), difiriendo del perfil de demanda habitual para uso doméstico. Existe una necesidad de profundizar en la influencia que tiene la variación de la TADr en la eficiencia y viabilidad de estos sistemas. El objetivo principal de esta tesis es caracterizar el funcionamiento de un sistema solar térmico (SST) con captador de tubos de vacío (CTV) para producir agua a temperaturas superiores a las habituales en estos sistemas. Se pretende determinar la influencia que la TADr tiene sobre la eficiencia energética del sistema, cuantificar el volumen de agua caliente que es capaz de suministrar en función de la TADr y determinar la rentabilidad del SST como sistema complementario de suministro. Para ello, se ha diseñado, instalado y puesto a punto un sistema experimental de calentamiento de agua, monitorizando su funcionamiento a diferentes TADr bajo condiciones ambientales reales. Los resultados cuantifican cómo el aumento de la TADr provoca una disminución de la energía suministrada al depósito, pudiendo superar diferencias de 1000 Wh m-2 d-1 entre 40 ºC y 80 ºC, para valores de irradiación solar próximos a 8000 Wh m-2 d-1 (la eficiencia del sistema oscila entre 73% y 56%). Esta reducción es consecuencia de la disminución de la eficiencia del captador y del aumento de las pérdidas de calor en las tuberías del circuito. En cuanto al agua suministrada, cuanto mayor es la TADr, mayor es la irradiación solar requerida para que tenga lugar la primera descarga de agua, aumentando el tiempo entre descargas y disminuyendo el número de éstas a lo largo del día. A medida que se incrementa la TADr, se produce una reducción del volumen de agua suministrado a la TADr, por factores como la pérdida de eficiencia del captador, las pérdidas en las tuberías, la energía acumulada en el agua que no alcanza la TADr y la mayor energía extraída del sistema en el agua producida. Para una TADr de 80 ºC, una parte importante de la energía permanece acumulada en el depósito sin alcanzar la TADr al final del día. Para aprovechar esta energía sería necesario disponer de un sistema complementario de suministro, ya que las pérdidas de calor nocturnas en el depósito pueden reducir considerablemente la energía útil disponible al día siguiente. La utilización del sistema solar como sistema único de suministro es inviable en la mayoría de los casos, especialmente a TADr elevadas, al no ajustarse la demanda de agua caliente a la estacionalidad de la producción del sistema solar, y al existir muchos días sin producción de agua caliente por la ausencia de irradiación mínima. Por el contrario, la inversión del sistema solar como sistema complementario para suministrar parte de la demanda térmica de una instalación es altamente recomendable. La energía útil anual del sistema solar estimada oscila entre 1322 kWh m-2 y 1084 kWh m-2. La mayor rentabilidad se obtendría suponiendo la existencia de una caldera eléctrica, donde la inversión se recuperaría en pocos años -entre 5.7 años a 40 ºC y 7.2 años a 80 ºC -. La rentabilidad también es elevada suponiendo la existencia de una caldera de gasóleo, con periodos de recuperación inferiores a 10 años. En una industria ficticia con demanda de 100 kWh d-1 y caldera de gasóleo existente, la inversión en una instalación solar optimizada sería rentable a cualquier TADr, con valores de VAN cercanos a la inversión realizada -12000 € a 80 ºC y 15000€ a 40 ºC- y un plazo de recuperación de la inversión entre 8 y 10 años. Los resultados de este estudio pueden ser de gran utilidad a la hora de determinar la viabilidad de utilización de sistemas similares para suministrar la demanda de agua caliente de agroindustrias y explotaciones agropecuarias, o para otras aplicaciones en las que se demande agua a temperaturas distintas de la habitual en uso doméstico (60 ºC). En cada caso, los rendimientos y la rentabilidad vendrán determinados por la irradiación de la zona, la temperatura del agua requerida y la curva de demanda de los procesos específicos. ABSTRACT The aim of this thesis is to contribute to the development and use of solar energy as an alternative for producing hot water in the agribusiness sector. Hot water supply is a key issue for a great many agribusinesses and agricultural holdings. Both hot water demand times and required tank water temperature (rTWT) are highly variable, where the demand profile tends to differ from domestic use. Further research is needed on how differences in rTWT influence the performance and feasibility of these systems. The main objective of this thesis is to characterize the performance and test the feasibility of an evacuated tube collector (ETC) solar water heating (SWH) system providing water at a higher temperature than is usual for such systems. The aim is to determine what influence the rTWT has on the system’s energy efficiency, quantify the volume of hot water that the system is capable of supplying at the respective rTWT and establish whether SWH is feasible as a booster supply system for the different analysed rTWTs. To do this, a prototype water heating system has been designed, installed and commissioned and its performance monitored at different rTWTs under real operating conditions. The quantitative results show that a higher rTWT results in a lower energy supply to the tank, where the differences may be greater than 1000 Wh m-2 d-1 from 40 ºC to 80 ºC for insolation values of around 8000 Wh m-2 d-1 (system efficiency ranges from 73% to 56%). The drop in supply is due to lower collector efficiency and greater heat losses from the pipe system. As regards water supplied at the rTWT, the insolation required for the first withdrawal of water to take place is greater at higher rTWTs, where the time between withdrawals increases and the number of withdrawals decreases throughout the day. As rTWT increases, the volume of water supplied at the rTWT decreases due to factors such as lower collector efficiency, pipe system heat losses, energy stored in the water at below the rTWT and more energy being extracted from the system by water heating. For a rTWT of 80 ºC, much of the energy is stored in the tank at below the rTWT at the end of the day. A booster supply system would be required to take advantage of this energy, as overnight tank heat losses may significantly reduce the usable energy available on the following day. It is often not feasible to use the solar system as a single supply system, especially at high rTWTs, as, unlike the supply from the solar heating system which does not produce hot water on many days of the year because insolation is below the required minimum, hot water demand is not seasonal. On the other hand, investment in a solar system as a booster system to meet part of a plant’s heat energy demand is highly recommended. The solar system’s estimated annual usable energy ranges from 1322 kWh m-2 to 1084 kWh m-2. Cost efficiency would be greatest if there were an existing electric boiler, where the payback period would be just a few years —from 5.7 years at 40 ºC to 7.2 years at 80 ºC—. Cost efficiency is also high if there is an existing diesel boiler with payback periods of under 10 years. In a fictitious industry with a demand of 100 kWh day-1 and an existing diesel boiler, the investment in the solar plant would be highly recommended at any rTWT, with a net present value similar to investment costs —12000 € at 80 ºC and 15000 € at 40 ºC— and a payback period of 10 years. The results of this study are potentially very useful for determining the feasibility of using similar systems for meeting the hot water demand of agribusinesses and arable and livestock farms or for other applications demanding water at temperatures not typical of domestic demand (60ºC). Performance and cost efficiency will be determined by the regional insolation, the required water temperature and the demand curve of the specific processes in each case.

The Newtonian system of philosophy : adapted to the capacities of young ladies and gentlemen, and familiarized and made entertaining, by objects with which they are intimately acquainted : being the substance of six letters, read to a select company of friends /

Cf. Roscoe, S. Newbery, J348(8)

Aerogravity-assist maneuvering of a tethered satellite system

Two new implementations of a tethered satellite system to provide aeroassist during a planetary flyby are investigated. In each mission scenario the interaction of the Martian atmosphere with an aerodynamic lifting surface, which is tethered to an orbiter, is used to perturb the flight path of the system. The aerodynamic forces generated by interacting with the atmosphere augment the gravity assist provided by the planet. In the first aerogravity-assist maneuver the tethered satellite system has congruent post- and preflyby configurations. The second scenario, which is referred to as a dual-destination mission, involves the system mass being separated during the flyby. Both of these aerogravity-assist maneuvers are shown to facilitate significant, propellant-free velocity changes.

Discovery of a New Retrograde Trans-Neptunian Object: Hint of a Common Orbital Plane for Low Semimajor Axis, High-inclination TNOs and Centaurs

Although the majority of Centaurs are thought to have originated in the scattered disk, with the high-inclination members coming from the Oort cloud, the origin of the high-inclination component of trans-Neptunian objects (TNOs) remains uncertain. We report the discovery of a retrograde TNO, which we nickname “Niku,” detected by the Pan-STARRS 1 Outer Solar System Survey. Our numerical integrations show that the orbital dynamics of Niku are very similar to that of 2008 KV42 (Drac), with a half-life of ˜500 Myr. Comparing similar high-inclination TNOs and Centaurs (q > 10 au, a <100 au, and i > 60°), we find that these objects exhibit a surprising clustering of ascending node, and occupy a common orbital plane. This orbital configuration has high statistical significance: 3.8-σ. An unknown mechanism is required to explain the observed clustering. This discovery may provide a pathway to investigating a possible reservoir of high-inclination objects.

The Outer Solar Systems Origins Survey. I. Design and First-quarter Discoveries

We report the discovery, tracking, and detection circumstances for 85 trans-Neptunian objects (TNOs) from the first 42 deg2 of the Outer Solar System Origins Survey. This ongoing r-band solar system survey uses the 0.9 deg2 field of view MegaPrime camera on the 3.6 m Canada–France–Hawaii Telescope. Our orbital elements for these TNOs are precise to a fractional semimajor axis uncertainty <0.1%. We achieve this precision in just two oppositions, as compared to the normal three to five oppositions, via a dense observing cadence and innovative astrometric technique. These discoveries are free of ephemeris bias, a first for large trans-Neptunian surveys. We also provide the necessary information to enable models of TNO orbital distributions to be tested against our TNO sample. We confirm the existence of a cold "kernel" of objects within the main cold classical Kuiper Belt and infer the existence of an extension of the "stirred" cold classical Kuiper Belt to at least several au beyond the 2:1 mean motion resonance with Neptune. We find that the population model of Petit et al. remains a plausible representation of the Kuiper Belt. The full survey, to be completed in 2017, will provide an exquisitely characterized sample of important resonant TNO populations, ideal for testing models of giant planet migration during the early history of the solar system.

The use of solar colletor for heating and electricity for a single family house

The presented work is related to the use of solar energy for the needs of heating and electricity for a single house located in Poland. Electricity will provided by energy conversion in the turbine by means of Organic Rankine Cycle (ORC), in which the operating medium (water heated in solar collector) is heating refrigerator in the heating exchanger. The solar installation is integrated with heat accumulator and wood boiler, which is used in the situation that collector is not enough to fill requirements of thermal comfort. There are chosen also all the necessary components of the system. In the work is also performed the economic assessment, by F chart method, to evaluate the profitability of the project, taking into total costs and savings.

Incidence of debris discs around FGK stars in the solar neighbourhood

Context. Debris discs are a consequence of the planet formation process and constitute the fingerprints of planetesimal systems. Their counterparts in the solar system are the asteroid and Edgeworth-Kuiper belts. Aims. The aim of this paper is to provide robust numbers for the incidence of debris discs around FGK stars in the solar neighbourhood. Methods. The full sample of 177 FGK stars with d ≤ 20 pc proposed for the DUst around NEarby Stars (DUNES) survey is presented. Herschel/PACS observations at 100 and 160 μm were obtained, and were complemented in some cases with data at 70 μm and at 250, 350, and 500 μm SPIRE photometry. The 123 objects observed by the DUNES collaboration were presented in a previous paper. The remaining 54 stars, shared with the Disc Emission via a Bias-free Reconnaissance in IR and Sub-mm (DEBRIS) consortium and observed by them, and the combined full sample are studied in this paper. The incidence of debris discs per spectral type is analysed and put into context together with other parameters of the sample, like metallicity, rotation and activity, and age. Results. The subsample of 105 stars with d ≤ 15 pc containing 23 F, 33 G, and 49 K stars is complete for F stars, almost complete for G stars, and contains a substantial number of K stars from which we draw solid conclusions on objects of this spectral type. The incidence rates of debris discs per spectral type are 0.26^+0.21_-0.14 (6 objects with excesses out of 23 F stars), 0.21^+0.17_-0.11 (7 out of 33 G stars), and 0.20^+0.14_-0.09 (10 out of 49 K stars); the fraction for all three spectral types together is 0.22^+0.08_-0.07 (23 out of 105 stars). The uncertainties correspond to a 95% confidence level. The medians of the upper limits of L_dust/L_∗ for each spectral type are 7.8 × 10^-7 (F), 1.4 × 10^-6 (G), and 2.2 × 10^-6 (K); the lowest values are around 4.0 × 10^-7. The incidence of debris discs is similar for active (young) and inactive (old) stars. The fractional luminosity tends to drop with increasing age, as expected from collisional erosion of the debris belts.