scholarly journals Zwicky Transient Facility Observations of Trojan Asteroids: A Thousand Colors, Rotation Amplitudes, and Phase Functions

2021 ◽  
Vol 2 (1) ◽  
pp. 40
Author(s):  
Madeline Schemel ◽  
Michael E. Brown
Keyword(s):  
Trojan Asteroids ◽  
Phase Functions

The three-dimensional motion of Trojan asteroids

1978 ◽  
Vol 18 (2) ◽  
pp. 141-161 ◽  
Author(s):  
B�lint �rdi
Keyword(s):  
Three Dimensional ◽  
Trojan Asteroids

Opposition effect of Trojan asteroids

Icarus ◽  
2012 ◽  
Vol 217 (1) ◽  
pp. 202-208 ◽  
Author(s):  
V.G. Shevchenko ◽  
I.N. Belskaya ◽  
I.G. Slyusarev ◽  
Yu.N. Krugly ◽  
V.G. Chiorny ◽  
...  
Keyword(s):  
Trojan Asteroids ◽  
Opposition Effect

Optimal Signal Extraction with Correlated Components

2014 ◽  
Vol 6 (2) ◽  
pp. 237-273 ◽  
Author(s):  
Tucker S. McElroy ◽  
Agustin Maravall
Keyword(s):  
Signal Extraction ◽  
Economic Time Series ◽  
Systematic Treatment ◽  
Finite Samples ◽  
Economic Time ◽  
The Mean ◽  
Phase Functions ◽  
Component Models ◽  
Correlated Components ◽  
Optimal Signal

AbstractWhile it is typical in the econometric signal extraction literature to assume that the unobserved signal and noise components are uncorrelated, there is nevertheless an interest among econometricians in the hypothesis of hysteresis, i.e. that major movements in the economy are fundamentally linked. While specific models involving correlated signal and noise innovation sequences have been developed and applied using state space methods, there is no systematic treatment of optimal signal extraction with correlated components. This paper provides the mean square error optimal formulas for both finite samples and bi-infinite samples and furthermore relates these filters to the more well-known Wiener–Kolmogorov (WK) and Beveridge–Nelson (BN) signal extraction formulas in the case of ARIMA component models. Then we obtain the result that the optimal filter for correlated components can be viewed as a weighted linear combination of the WK and BN filters. The gain and phase functions of the resulting filters are plotted for some standard cases. Some discussion of estimation of hysteretic models is presented, along with empirical results on an economic time series. Comparisons are made between signal extractions from traditional WK filters and those arising from the hysteretic models.

scholarly journals On the scattering behaviour of bullet-rosette and bullet-shaped ice crystals

1996 ◽  
Vol 14 (5) ◽  
pp. 566-573
Author(s):  
B. Strauss
Keyword(s):  
Ray Tracing ◽  
Ice Crystals ◽  
Asymmetry Factor ◽  
Model Calculations ◽  
Geometrical Features ◽  
The Asymmetry ◽  
Particle Length ◽  
Phase Functions ◽  
Tracing Method ◽  
Factor G

Abstract. The scattering behaviour of bullet-rosette and bullet-shaped ice particles is investigated using model calculations (ray tracing method) with special emphasis on the asymmetry factor g. Because the variability of the geometrical features of these particles is very large, some representative shapes are used in the calculations. The model is based on geometrical optics, and particles are assumed to be oriented randomly; a wavelength of 0.56 μm is considered; absorption is neglected. The scattering behaviour of bullet rosettes is compared to that of single branches out of the bullet rosette. It turns out that there are slight differences in the asymmetry factor values, depending on the lengths of the branches (∆g~0.02) and on the angles between the branches (∆g~0.01). Bullets show some special features in their phase functions due to the pyramid. The length of the particle influences the asymmetry factor (∆g~0.10), as does the shape of the pyramid (∆g~0.07). The influence of the pyramidal shape decreases with increasing particle length. Bullets were compared to hexagonally shaped columns. This was done for two columns, one as long as the columnar part of the bullet (length without pyramid), and one for a column as long as the bullet including the pyramid. Asymmetry factor values of bullets with a pyramidal angle of 28° deviate less than ∆g~0.01 from the range given by the two values of the columns.

Synthesis of a classical atom: Wavepacket analogues of the Trojan asteroids

2000 ◽  
Vol 41 (1) ◽  
pp. 1-14 ◽  
Author(s):  
T. Uzer ◽  
Ernestine A. Lee ◽  
David Farrelly ◽  
Andrea F. Brunello
Keyword(s):  
Trojan Asteroids

scholarly journals The dynamical evolution of escaped Jupiter Trojan asteroids, link to other minor body populations

Icarus ◽  
2019 ◽  
Vol 319 ◽  
pp. 828-839 ◽  
Author(s):  
Romina P. Di Sisto ◽  
Ximena S. Ramos ◽  
Tabaré Gallardo
Keyword(s):  
Dynamical Evolution ◽  
Trojan Asteroids ◽  
Minor Body

Method for the determination of density and phase functions of interplanetary dust

1980 ◽  
Vol 28 (7) ◽  
pp. 657-660 ◽  
Author(s):  
A. Mujica ◽  
G. López ◽  
F. Sánchez
Keyword(s):  
Interplanetary Dust ◽  
Phase Functions
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