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

  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},
  • 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… 

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 the


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 done

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)

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 follow


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). The

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 be

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 orbital

Reduction of Round-off Error in Symplectic Integrators

Three approaches to reduce the accumulation of round-off errors in symplectic integrators are examined and Dekker's 1971 double-length addition routine in the main summation procedure provides a result that is a few digits more precise for less than a 25% increase in computational time.

WHAT IS THE MASS OF &agr; ?> CEN B b ?> ?

We investigate the possibility of constraining the sin i degeneracy of α Cen B b—with orbital period P = 3.24 days; a = 0.042 AU; m sin i = 1.1 M ⨁ ?> —to estimate the true mass of the newly reported



Numerical representation of planetary ephemerides

The Jet Propulsion Laboratory provides high-precision numerically integrated planetary and lunar ephemerides in support of spacecraft navigation and other activities relating to solar system bodies.

Compressed planetary and lunar ephemerides

A package of FORTRAN software has been developed which provides planetary and lunar positions, with respect to the solar system barycenter, for all times in the interval 1801–2049; positions agree to

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.

Simulation of general relativistic corrections in long term numerical integrations of planetary orbits

Long term numerical integrations of planetary orbits designed to study the stability of the Solar System over timescales comparable to i t s age have become very promising thanks to the availability

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 orbit

Astronomical Algorithms

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.

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 corrections

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 ranging

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 et

Numerical Recipes: FORTRAN

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.