Sections

Astronomical Yearbook for 2020

Preface

In the "Astronomical Yearbook" (AY) the ephemerides of the Sun, Moon, major planets and stars computed with the maximum precision in accordance with the resolutions approved by the International Astronomical Union (IAU) are published. The information is also given on various astronomical phenomena - lunar and solar eclipses, planetary configurations, rises and sets of the Sun and Moon, etc. The explanation, contained the examples, illustrates the possibility of the calculation of various ephemerides to any particular time and for the any observation place.

Since issue for 2004 the reform AY was carried out connected to change of ephemerical basis AY according to Recommendations XXIII-XXIV General assemblies (GA) IAU. In the course several years full replacement of theories of movement of major planets and the Moon, of the precession-nutation models, of the star catalogue is stage by stage made. The system of coordinates based on the new concept of "the non-rotating origin" is entered. Separate stages of reform are described in forewords and explanations to the Yearbooks on 2004-2008. Change of an ephemeris basis - replacement of the theory of EPM2004 by EPM2011/m created in IAA RAS, became the last stage of work.

Preparation of the AE-2020 ephemerides is based on the following data:

  • The fundamental ephemerides of the Sun, the Moon and major planets are calculated on the theory EPM2011/m developed at IAA RAS. This theory present the movement of these objects with accuracy enough for the theoretical and practical applications. The differences between the theories EPM2011/m and DE405/LE405 in common use developed at the JPL (Jet Propulsion Laboratory, Pasadena, USA) are less on the order than the accuracy of the data published in AY for these bodies.
  • In accordance with the IAU2000 resolution the parameters of the nutation in longitude and declination are calculated under the IAU2000_R06 nutation theory (Note of IERS Conventions Center, 16 June 2009).
  • The account of precession was carried out in the Lieske method of parameterization with values of polynomial coefficients corresponding the new precession model P03 resulted in the report of Working group of IAU on precession and the ecliptic (2006).
  • Calculation the sidereal time is made with use "the Siderial Angle" and new expression for the equation of equinoxes accepted by "IERS Convention (2003)", and P03 precession theory.
  • The shift of average pole J2000.0 relative to the pole ICRS is taken into account at calculation of elements of the precession-nutation matrix.
  • Calculing the stars ephemerides the fundamental catalog FK6 was used. The ephemerides of the stars which have not in this catalog are based on the catalog HIPPARCOS. Both catalogues are in ICRS. Calculating the corrections for orbital movement of double stars "Fourth catalog of orbits of visual binary stars" WH-4 was used.
  • The ephemeris data of the Yearbook are given in the classical concept of equinox. According to the recommendation XXIV GA IAU (resolution B1.7) the data connected with the new Celestial Intermediate Reference System (CIRS), and elements of a matrix of transition from ICRS to the celestial intermediate origin CIO and true equator of date are given.

All ephemeris data are calculated by means of the PS BOOKA edition package of a updated multi-purpose program complex the ERA-8 developed in IAA of RAS for the decision of problems of ephemeris astronomy. The updated program complex ERA-8 (Pavlov D.A., Skripnichenko V.I. First results of trial operation of the cross-platform version of ERA system // Works IAA of RAS, SPb.: Science, 2014. Vyp.30. Page 32-40) is included in program BOOKA system which is used for calculation of ephemerises for the IAA printing editions of RAS.

In "The Astronomical Yearbook for 2020" the calculation of the ephemeris data was carried out by following collaborators of the laboratory of astronomical yearbooks:

  • the sidereal time - N.I. Glebova, M.L. Sveshnikov;
  • the ephemerides of the geocentric coordinates of the Sun, the geocentric and heliocentric coordinates of the major planets, osculating elements of the planet orbits, the ephemerides of the position and velocity of the Earth in the barycentric reference system, the elements of the precession matrix and of the nutation matrix, the terms by reductions, the ephemerides for physical observations of the Moon, the phases of the Moon, perigee and apogee - N.I. Glebova;
  • the ephemerides of the geocentric coordinates of the Moon, and coefficients of the Tchebyshev polynomials - N.I. Glebova, D.A. Pavlov;
  • the seasons and precession values, the planetary configurations - N.I. Glebova;
  • the data for the eclipses of the Sun and Moon - M.V. Lukashova;
  • the data for the occultations of planets by the Moon - G.A. Kosmodamianskij;
  • the ephemerides for physical observations of the Sun, planets and Saturn's rings - M.L. Sveshnikov;
  • the times of rise and set of the Sun and Moon - M.V. Lukashova;
  • mean places of stars at J2000.0, the table of the corrections for the orbital motion of stars - M.L. Sveshnikov, N.I. Glebova;
  • the mean places of stars on epoch of the year, the apparent places of the tenday and circumpolar stars - N.I. Glebova;
  • the tables for altitudes and azimuths of Polaris and the tables for latitude determinations from observations of Polaris - M.L. Sveshnikov;
  • Earth rotation angle, Equation of the Origins, the CIP parameters, matrix elements for conversion from ICRS to CIO and true equator of date - N.I. Glebova, M.L. Sveshnikov;

The data control was carried out by N.I. Glebova, N.K. Omelyanchuk, and I.A. Lebedeva.

The explanation to the Yearbook is processed by N.I. Glebova, and M.L. Sveshnikov. The additional information on algorithms of calculation of ephemerides published in AY is given in "The Explanatory Supplement to "the Astronomical Yearbook" ("Transactions of IAA of RAS", 2004, vol.10). The examples in the Explanation were carried out by N.I. Glebova, G.A. Kosmodamianskij, M.V. Lukashova, and M.L. Sveshnikov. The Explanation in the TEX was carried out by N.I. Glebova, M.V. Lukashova, and N.K. Omelyanchuk.

Since 1995 the publication of the "Astronomical Yearbook" was carried out by means of the softwares "SVITA" and "PUBLISHER" (G.A. Netsvetaeva. PUBLISHER - integrated environment for support astronomical yearbook issue, Communications of IAA of RAS. 2010, в„–В 187). The same systems are used by preparation of the AE application on the Internet.

The layout of "The Astronomical Yearbook for 2020" was carried out by D.A. Ryzhkova.

Contents

Preface 3
Seasons, some constants 5
Sidereal time 6
Ephemeris of the Sun 10
Rectangular equatorial coordinates of the Sun 26
Aberration, parallax, mean longitude of the Sun, obliquity of the ecliptic, nutation in obliquity 34
Mean longitude of the Moon, mean elements of the Moon's orbit and equator 35
Ephemeris of the Moon 36
Right ascension, declination and geocentric distance of the Moon 52
Coefficients of the Tchebyshev polynomials, the Moon 60
Phases of the Moon, perigee and apogee 60
Heliocentric coordinates of the planets 61
Osculating elements of the internal planets 66
Osculating elements of the outer planets 67
Ephemeris of Mercury 68
Ephemeris of Venus 76
Ephemeris of Mars 84
Ephemeris of Jupiter 92
Ephemeris of Saturn 100
Ephemeris of Uranus 108
Ephemeris of Neptune 116
Ephemeris of Pluto 124
Position and velocity of the Earth 126
Precession and nutation 127
Terms of reductions at 0h Terrestrial Time 142
Eclipses 150
Planetary configurations 162
Ephemeris for physical observations of the Sun 166
Ephemeris for physical observations of the Moon 170
Ephemeris for physical observations of Mercury 178
Ephemeris for physical observations of Venus 186
Ephemeris for physical observations of Mars 190
Ephemeris for physical observations of Jupiter 198
Physical data for the Sun, Moon, and major planets 205
Rotational elements of the planets 205
Ephemeris for physical observations of Saturn 206
Saturn's rings 212
Ephemeris for physical observations of Uranus 214
Ephemeris for physical observations of Neptune 216
Times of sunrise and sunset for latitudes from +30В° through +70В° 218
Times of moonrise and moonset for latitudes from +30В° through +70В° 226
Abbreviations of names of constellations 258
Abbreviations of names of catalogues 258
Mean places of stars (J2020.5) 259
Mean places of circumpolar stars (J2020.5) 273
Mean places of stars (ICRS) 274
Mean places of circumpolar stars (ICRS) 288
Terms of reductions for 0h of sidereal dynamical time 289
Second order terms of reductions 297
Apparent places of stars 301
Apparent places of circumpolar stars 484
Tables for latitude determinations from observations of Polaris 578
Table for altitudes and azimuths of Polaris 583
Earth rotation angle and Equation of the Origins 586
Celestial Intermediate Reference System 590
Matrix elements for conversion to CIRS 594
Auxiliary tables
I. Julian dates 603
IIa. Conversion of mean time to sidereal time (with accuracy 0.01s) 608
IIb. Conversion of sidereal time to mean time (with accuracy 0.01s) 609
IIIa. Conversion of mean time to sidereal time (with accuracy 0.001s and 0.0001s) 610
IIIb. Conversion of sidereal time to mean time (with accuracy 0.001s and 0.0001s) 611
IVa. Conversion of minutes and seconds to fractions of degree and back 612
IVb. Conversion of decimal parts of degree to minutes and seconds and back 613
V. Conversion of arc to time 614
VI. Conversion of minutes and seconds to parts of hour 614
VII. Conversion of hours, minutes and seconds to parts of day 615
VIIIa. Elements of PE-90 Earth's spheroid. Calculation geocentric coordinates of the Earth's surface points 616
VIIIb. Elements of IUGG Earth's spheroid. Calculation geocentric coordinates of the Earth's surface points 617
IX. Coefficients of Bessel's interpolation formula 618
X. Refraction (precision 1") 619
XI. Refraction (precision 0.1") 620
Explanation to Astronomical Yearbook for 2020
1. General remarks 621
2. Interpolation 630
3. Sidereal time 633
4. Transition from One Time Measure System to Another 634
5. Fundamental ephemeris of the Sun, the Moon, and major planets 638
6. Ephemeris of the Sun: the equatorial and ecliptical coordinates 640
7. Rectangular equatorial coordinates of the Sun 644
8. Mean elements of Sun's orbit. Mean elements of Moon's orbit and equator 645
9. Ephemeris of the Moon. Coefficients of the Tchebyshev polynomials. Phases of the Moon, perigee, apogee 645
10. Heliocentric coordinates of planets. Osculating elements 647
11. Ephemerides of the major planets 648
12. Position and velocity of the Earth. precession and nutation 650
13. Terms of reductions 652
14. Eclipses 653
15. Planetary configurations and other astronomical phenomena 657
16. Ephemeris for physical observations of the Sun 657
17. Ephemeris for physical observations of the Moon 658
18. Planetocentric and planetographic coordinates of the Earth and the Sun 659
19. Ephemeris for physical observations of planets 661
20. Saturn's rings 662
21. Times of rise and set of the Sun and Moon 663
22. Mean places of stars 664
23. Apparent places of stars 666
24. Apparent places of circumpolar stars 672
25. Tables for latitude determinations from observations of Polaris 677
26. Earth rotation angle and Equation of the Origins 678
27. Parameters of the Celestial Intermediate Reference System 679
28. Matrix elements for conversion from ICRS to CIRS 679
29. The application to the Astronomical yearbook for 2018 681
Index 682

Eclipses

January 10 Penumbral lunar eclipse Description Visual path (for view) Visual path (for printing)
June 5 Penumbral lunar eclipse Description Visual path (for view) Visual path (for printing)
June 21 Annular solar eclipse Description Map (for view) Map (for printing)
July 5 Penumbral lunar eclipse Description Visual path (for view) Visual path (for printing)
November 30 Penumbral lunar eclipse Description Visual path (for view) Visual path (for printing)
December 14 Total solar eclipse Description Map (for view) Map (for printing)

Appendices