A statistical analysis of the Martian wave of darkening and related phenomena.
Statistical correlation of latitude with time of maximum darkening of Mars dark areas, noting consistency of 2 models
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Statistical correlation of latitude with time of maximum darkening of Mars dark areas, noting consistency of 2 models
Electromagnetic field of concentric rotating mass shells, noting Machian effects on cosmological models with near-Schwarzschild radius
CH molecule solar spectral observations interpreted using several upper photosphere models and assuming local thermodynamic equilibrium approximation
Brans-Dicke theory of gravitational scalar field effect on structure of neutron cold spherical stellar model analyzed and compared with relativity theory
Astronomers who search for periodic signals using Lomb–Scargle periodograms rely on false alarm level (FAL) estimates to identify statistically significant peaks. Although FALs are often calculated from white noise models, many astronomical time series suffer from red noise. Prewhitening is a statistical technique in which a continuum model is subtracted from the log power spectrum estimate, after which the observer can proceed with a white-noise treatment. Here we present a prewhitening-based method of calculating frequency-dependent FALs. We fit power laws and autoregressive models of order 1 to each Lomb–Scargle periodogram by minimizing the Whittle approximation to the negative log-likelihood (NLL), then calculate FALs based on the best-fit model power spectrum. Our technique is a novel extension of the Whittle NLL to datasets with uneven time sampling. We demonstrate FAL calculations using observations of α Cen B, GJ 581, HD 192310, synthetic data from the radial velocity (RV) fitting challenge, and Kepler observations of a differential rotator. The Kepler data analysis shows that only true rotation signals are detected by red noise FALs, while white noise FALs suggest all spurious peaks in the low-frequency range are significant. A high-frequency sinusoid injected into α Cen B logR$'$ HK observations exceeds the 1% red noise FAL despite having only 8.9% of the power of the dominant rotation signal. In a periodogram of HD 192310 RVs, peaks associated with differential rotation and planets are detected against the 5% red noise FAL without iterative model fitting or subtraction. The software for calculating red noise–based FALs is available on GitHub.
Dielectric constants, composition, and depths of layers of moon based on two-layer lunar model using radar echoes
Celestial model calculations for W Virginis star with RV Tauri characteristics
Friedman cosmological models describing spatially homogeneous and isotropic universe
Models that treat events associated with quasi-stellar objects as plasma phenomena
Cosmic-ray electron spectrum in disk-halo galactic model, studying inconsistencies in Ramaty and Lingenfelter analysis
Critical comments on Shklovsky model for newly identified X-ray source Sco XR-1
Pulsation properties of star models with linear density distribution, considering radial, adiabatic contraction and dynamical stability
Rotating opaque gaseous disk model to explain contradictory behavior of binary Epsilon Aurigae found in photometric and spectroscopic observations
Astrophysical evidence for direct electron- neutrino weak interaction - theoretical models of superluminous white dwarfs with and without neutrino emission process
Nonrotating, hydrostatic models of geochemically likely planets calculated using solar elemental abundances and equations of state for cold materials
One-dimensional model of stellar system evolution, using computer to calculate minimum energy configuration
Evolution of 9 solar masses stellar model of population I initial composition from main sequence through core helium burning
Streaming and spatial gradient equations of cosmic ray particles in interplanetary medium model, discussing Fokker-Planck equation and heliocentric field modulation