Numerical integration for the real time production of fundamental ephemerides over a wide time span

@article{Vitagliano1996NumericalIF,
  title={Numerical integration for the real time production of fundamental ephemerides over a wide time span},
  author={Aldo Vitagliano},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={1996},
  volume={66},
  pages={293-308}
}
  • A. Vitagliano
  • Published 1996
  • Physics
  • Celestial Mechanics and Dynamical Astronomy
A simplified model of the solar system has been developed along with an integration method, enabling to compute planetary and lunar ephemerides to an accuracy better than 1 and 2 milliarcsecs, respectively. On current personal computers, the integration procedure (SOLEX) is fast enough that by using a relatively small (∼ 20 Kbytes/Cy) database of starting conditions, any epoch in the time interval (up to ±100 Cy) covered by the database can be reached by the integrator in a few seconds. This… Expand
New mass determination of (15) Eunomia based on a very close encounter with (50278) 2000CZ12
Aims. The possibility of determining the mass of large asteroids (other than Ceres, Pallas, and Vesta) from recent close encounters with smaller bodies has been investigated, and a new and moreExpand
Impact solutions of Asteroid 2007 WD5 with Mars
Abstract A method for computing impact probabilities between asteroids and the planet Mars is presented that uses impact clones and validation analysis based on a normal distribution of computedExpand
On the Substantial Spatial Spread of the Quadrantid Meteoroid Stream
We explored the substantial spatial spread of the Quadrantid stream, based on the backward integration of orbital motions of the Quadrantids, impulsively perturbed by Jupiter. We found that theExpand
THE MASS OF (4) VESTA DERIVED FROM ITS LARGEST GRAVITATIONAL EFFECTS
In this paper, we present a recalculated value of the mass of (4) Vesta, derived from its largest gravitational perturbations on selected asteroids during their mutual close encounters. This was doneExpand
What is the mass of alpha Cen B b
We investigate the possibility of constraining the sin i degeneracy of alpha Cen B b -- with orbital period P=3.24 d; a = 0.042 AU; msini = 1.1 M_earth -- to estimate the true mass of the newlyExpand
Solar-Radiation Heating Effects on 3200 Phaethon
Apollo-type near-Earth asteroid 3200 Phaethon, having a small perihelion distance of q � 0.14 AU, is classified as F- or B-type, one of subclasses among the C-complex (C-, G-, B-, and F-types)Expand
The potentially dangerous asteroid 2012 DA14
We present computing methods that allow us to study the behaviour of the dynamically interesting potentially dangerous asteroid 2012 DA14. Using the freely available OrbFit software, we can followExpand
FAST ROTATION OF A SUBKILOMETER-SIZED NEAR-EARTH OBJECT 2011 XA3
We present light curve observations and their multiband photometry for near-Earth object (NEO) 2011 XA3. The light curve has shown a periodicity of 0.0304 ± 0.0003 days (= 43.8 ± 0.4 minutes). TheExpand
Quasi-Hilda Comet 147P/Kushida-Muramatsu Another long temporary satellite capture by Jupiter
Context. The quasi-Hilda comets (QHCs), being in unstable 3:2 Jovian mean motion resonance, are considered a major cause of temporary satellite capture (TSC) by Jupiter. Though the QHCs may beExpand
How to take into account the relativistic effects in dynamical studies of comets
Abstract Comet-like orbits with low perihelion distances tend to be affected by relativistic effects. In this work we discuss the origin of the relativistic corrections, how they affect the orbitalExpand
...
1
2
...

References

SHOWING 1-10 OF 16 REFERENCES
DE 102: a numerically integrated ephemeris of the moon and planets spanning forty-four centuries.
It is pointed out that the 1960's were the turning point for the generation of lunar and planetary ephemerides. All previous measurements of the positions of solar system bodies were optical angularExpand
Numerical integration methods for orbital motion
The present report compares Runge-Kutta, multistep and extrapolation methods for the numerical integration of ordinary differential equations and assesses their usefulness for orbit computations ofExpand
Comparison of a 7000-year lunar ephemeris with analytical theory
A numerical integration on the JPL DE200 model of Newhall, Standish, and Williams is compared to a medium-accuracy version of the Chapronts' ELP 2000-85 Lunar theory from 5000 B.C. to the present.Expand
Tests of the Extrapolation Method for the Numerical Integration of the Keplerian Motion
Two extrapolation methods (Gragg’s method and GBS method) were tested for the numerical integration of the Keplerian motion. The tests cleared that the Gragg’s method is better for the orbitExpand
Astronomical Algorithms
TLDR
This book intends to be a guide for the (professional or amateur) astronomer who wants to do calculations, although a few astronomy oriented mathematical techniques are dealt with, such as interpolation, fitting curves, and sorting data. Expand
A Three Million Year Integration of the Earth's Orbit
The equations of motion of the nine planets and the Earth's spin axis are integrated for 3.05 million years into the past. The equations include the dominant relativistic corrections and correctionsExpand
The JPL planetary ephemerides
JPL ephemerides are discussed, with emphasis on what they represent and which aspects are well-determined. The determination of planetary ephemerides using spacecraft ranging data, radar rangingExpand
Planetary Theories in rectangular and spherical variables: VSOP87 solution.
Les solutions analytiques VSOP (Variation Seculaire des Orbites Planetaires) du mouvement des planetes generalement donnees sous forme elliptique sont ici presentees sous leur forme cartesienne etExpand
Celestial Reference Systems
Three concepts are related to the topic of celestial reference system, namely the ideal inertial or celestial systems, their realizations as conventional inertial or celestial systems, implying a setExpand
Numerical Recipes: FORTRAN
TLDR
The Diskette v 2.04, 3.5'' (720k) for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08. Expand
...
1
2
...