Asteroid Ephemeris, 1900 to 2050: Including Chiron and the Black Moon Lilith

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Asteroid Ephemeris, 1900 to 2050: Including Chiron and the Black Moon Lilith

Asteroid Ephemeris, 1900 to 2050: Including Chiron and the Black Moon Lilith

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Sign changes in the top ephemeris are displayed in the table under the ephemeris under the title “Ingresses.” Where Sappho is, there is greater vulnerability, yearning, desire for poetry and transcendence, and love. where the index i describes the dense relative ( i= 1), sparse relative ( i= 2), dense absolute ( i= 3), and sparse absolute photometry ( i= 4). For dense and sparse relative lightcurves, the relative brightnesses ℓ obs, ikj and ℓ ikj( P) are computed using the mean-magnitude brightnesses of each lightcurve. However, for dense and sparse absolute lightcurves, they are computed using the mean magnitude of the entire absolute lightcurve data. Note that the sparse relative lightcurves are weighted equally to the absolute photometric data but they enter the inverse problem separately with no regard to the absolute level of brightness. 3.2 Absolute Magnitudes and Phase Functions

lightcurves like lightcurve k ̃, balancing the weights of lightcurves with drastically different numbers of observations. We recall that the systematic errors include, in addition to the observational errors, the effects of simplified forward modeling, in particular, for the phase function in Eqs 8– 10. Finally, an asteroid’s spectrum from the ultraviolet (UV) through the visible (Vis) to the near-infrared (NIR) regime is known to vary with phase angle, evidently due to the fact that the phase function depends on the intrinsic brightness of the asteroid at a given wavelength. In the present work, we have confirmed that the shape and rotational parameters of the asteroid and the geometry of illumination and observation have an effect on the asteroid’s photometric phase function. The effect is different for different geometric albedos. Thus, the asteroid’s UV-Vis-NIR spectrum can depend on the shape and rotation parameters and vary as a function of the geometry of illumination and observation. It can be particularly enlightening to consider laboratory spectrometric measurements, such as those by Cloutis et al. (2012), extended to analogs of complete asteroids. The phase curve effects on the UV-Vis-NIR spectrometry and spectropolarimetry of asteroids remain as an open problem for future theoretical, observational, and experimental studies. Data Availability Statement Psyche in the natal chart represents the soul and the mind. It can represent love, passion, fear of betrayal, envy, fragility, vulnerability when we are in love, and other sensitive relationship dynamics. It is about getting to know our relationship needs and learning to trust. Note that Eros is not always sexual, per se, as Eros also represents creative passion. In the chart, it can point to areas into which we pour a lot of heart, passion, and enthusiasm.

3 Numerical Methods

Asteroids are small Solar System objects that originate from times preceding planet formation. Typically, when rotating about its principal axis of inertia, an asteroid exhibits a periodic change of brightness caused by the varying part of its surface being both illuminated by the Sun and visible to the observer. On one hand, a photometric lightcurve is the result of photometric observations extending over a time span covering a substantial part of the rotation period or more. On the other hand, a photometric phase curve is the result of observations of the change in an asteroid’s apparent brightness obtained at different epochs during a single apparition, corresponding to a slowly changing Sun-observer-object geometry. We refine the algorithm in Martikainen et al. (2021) for the derivation of absolute magnitudes and phase functions from Gaia photometry. As in their study, first, we start from the phase function slope parameter β S retrieved from MCMC inversion, recalling that β S describes the intrinsic surface-element properties of an asteroid. Second, using the full asteroid model available from the inversion, we move to the reference geometry of equatorial illumination and observation at the epochs and phase angles of the individual photometric points. Third, by computing the asteroid model brightnesses over one full rotation for each epoch, we determine the magnitudes of lightcurve brightness maxima. Martikainen et al. (2021) then carried out linear least-squares fitting to determine their phase curve slope parameter β max, from which they derived the full H, G 12 phase function. As a small improvement, we fit, directly, the H, G 12 phase function to the magnitudes of the brightness maxima. The resulting H and G 12 parameters then allow us to predict the lightcurve brightness maxima at arbitrary phase angles within 0°–120°. Fourth, a reference phase curve is computed for selected phase angles by averaging the magnitudes over one full rotation. Fifth, magnitudes of lightcurve brightness maxima are computed for the selected phase angles, together with the values for the integrated disk function (∝ μ 0/( μ+ μ 0) in Eqs 3, 4) and single-scattering phase function, all in the magnitude scale for the geometries corresponding to the brightness maxima. Sixth, a phase function is computed for an equal-projected-area spherical asteroid with the help of the single-scattering phase function, made possible by the fact that the mean projected area of a convex object in random orientation is one fourth of its total surface area ( van de Hulst, 1957). An absolute magnitude then follows from the prediction to zero phase angle. Seventh, we fit the equal-sphere phase function using the full H, G 1, G 2 phase function. Finally, we compute the slopes of the mean-magnitude reference phase curve ( β ref) and the phase function ( β S) at the 20° phase angle. Repeating the computations above for all the MCMC solutions allows us to obtain uncertainty estimates for the absolute magnitudes and phase functions throughout the entire phase curve analysis. 4 Results and Discussion Retrograde planets are marked with a red Rx symbol in the top ephemeris. In the asteroid ephemeris, however, they’re shown in pink/red. The following ephemerides are for selected asteroids: Eros, Psyche, Sappho, Ceres, Pallas, Juno, Vesta, and Chiron.

What’s an astrological ephemeris? It’s a collection of tables that list planetary movement. Astrologers use an ephemeris to view the positions of planets, asteroids, and other cosmic bodies at any given time: past, present, and future. The ephemerides above display each planet, asteroid, or point by degree and sign (longitude) at Midnight in the Eastern time zone at a daily rate. With an ephemeris, we can follow their daily progress/movement and get a good understanding of sign change dates. Time. A -7 would provide Pacific Daylight Time (or MST, if it is winter). Gregorian and Julian Calendar DatesFinally, the third table at the bottom of the ephemeris is titled Lunar Phases & Eclipses. While the lunar phases (New Moon, First Quarter Moon, Full Moon, and Last Quarter Moon) dates, times, and zodiacal position are displayed, only when an eclipse occurs are eclipses displayed in this box. or uncertainties for an object with no covariance in the database. Specific Quantities 1. Astrometric RA & DEC Eros represents objectification, passion and desire, the thrill of the chase, and creative power. In the birth chart, this asteroid can point to areas where we pour a lot of heart, passion, and enthusiasm. Chiron in our natal charts points to where we have healing powers as the result of our own deep spiritual wounds. We may over-compensate in these areas of life. Chiron, as a wounded healer, first must face issues of low self-worth and feelings of inadequacy and learn to rise above them. Because the wound goes deep, and we may work hard to overcome the wound, healing powers are potent. Supplement to the Astronomical Ephemeris, H.M. Nautical Almanac Office. High Precision Earth Orientation Parameter (EOP) Model



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