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

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is requested, “n.a.” symbols will appear in output (meaning “not available”). 2. Osculating orbital elements table 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. Display the orbits of all the planets, planetary satellites, and optionally one or more small bodies.The following ephemerides are for selected asteroids: Eros, Psyche, Sappho, Ceres, Pallas, Juno, Vesta, and Chiron.

Lightcurve inversion for the GS-asteroid data was carried out using Lommel-Seeliger ellipsoids and general convex shapes for two principal cases: one where all of the lightcurves were assumed to represent relative photometry and the other where all were assumed to represent absolute photometry. In addition, two error models were studied for each of the principal cases: the first model assigned a unit weight for each ground-based lightcurve, whereas the second model differed for the relative and absolute photometry as described in Section 3. Consequently, the analysis consisted of 8 different case studies. where Δ M k0( P) denote the O-C difference of the mean magnitudes in lightcurve k, and ℓ obs, kj and ℓ kj( P) are the observed and computed brightnesses relative to the brightnesses corresponding to the lightcurve mean magnitude lg∼e 0.43429. Thus, in Eq. 19, the χ 2-value is computed using the differences in the observed and computed relative brightnesses, relative to the observed relative brightnesses. 3 Numerical Methods 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 For the vast majority of the asteroids presently studied, the absolute magnitude referring to random orientation is brighter than the absolute magnitude referring to the reference geometry. The explanation derives from a bias in the reference geometry. For the sake of clarity, let us characterize the shape of the asteroid by the semiaxes a≥ b≥ c as in the ellipsoidal model. On one hand, in the reference geometry, an asteroid rotating about its axis c of maximum inertia will never be viewed with its maximum projected area pointing in equatorial directions, whereas, in random orientation, maximum-projected-area viewing is enabled. Consequently, the asteroid exhibits a larger mean projected area in random orientation than in the reference geometry and the resulting absolute magnitude is brighter. On the other hand, in the reference geometry, in the unlikely case of an asteroid rotating about its long axis a of minimum inertia, there is a bias towards the asteroid appearing larger in the reference geometry than in random orientation. As most of the asteroids are rotating about their axis of maximum inertia, at the population level, the absolute magnitude is predominantly brighter in the case of random orientation. 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.Yearly/monthly ephemerides offer daily zodiacal longitudes/positions of planets, asteroids, and points. Pallas in our natal charts represents strategy, wisdom, planning, intuition, intelligence, strength, skill, insight, upheaval, activism, and politics. This is a point where illusions are stripped away, connections are made, and strategies are created. Pallas is an agent of change and seeks to raise awareness. Consider an asteroid in principal-axis rotation. We denote the asteroid’s rotation period by P, the pole orientation in ecliptic longitude and latitude by ( λ, β) T (J2000.0, T stands for transpose), and the rotational phase at a given epoch t 0 by φ 0. As to the asteroid’s shape, in the inverse problem, we consider both ellipsoidal shapes and general convex shapes. In the forward problem, we incorporate star-like shapes described by the Gaussian-random-sphere geometry.

The ephemerides above show the daily positions, month to month in the year 2009, of the four major asteroids, Chiron, and the minor asteroids Eros, Psyche, and Sappho. The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. The lower left table shows sign changes and retrograde/direct activity. First, sign changes are displayed in the table under the ephemeris under the title “Ingresses.” Second, the “Stations” section shows planets and precise dates and times when they change direction, either retrograde (marked with an Rx) or direct (marked with a D). These appear only if there is a directional change.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. INFORMATION TO CORRECTLY UNDERSTAND EPHEMERIS LIMITATIONS AND UNCERTAINTIES. SPK File Generation Introduction

can be created in the Ephemeris section of Extended Chart Selection, and any year between 13'000 BCE and 17'000 CE can be chosen. This Month’s Ephemeris The current month’s ephemeris reveals the daily positions of the planets, as well as sign ingresses on any given day this month.

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. astro database Famous People born Today Famous People by Date of Birth Celebrity Astro Search Engine The ephemerides above show the daily positions, month to month in the year 2025, of the four major asteroids, Chiron, and select minor asteroids.

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