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International Astronomical Center

Astronomical Data


Mean Orbital Elements of the Planets Magnitude of Stars
Physical Elements of the Planets Greek Alphabet
Length Limiting Magnitudes and Separations
Time Limiting Lunar Details
Earth Spectral Types
Sun Luminosity Classes
Milky Way Galaxy Miscellaneous

Mean Orbital Elements of the Planets

PlanetMean DistanceMean DistancePeriod of RevolutionEccentricityInclinationLong. of Long. ofLong. at
Namefrom Sun (AU)from Sun (Mkm)Sidereal
(a)
(e)°Asc. NodePerihelionEpoch
Mercury0.38757.90.24080.2067.048.377.5252.3
Venus0.723108.20.61520.0073.476.7131.6182.0
Earth1.000149.61.00000.0170.0----102.9100.5
Mars1.524227.91.88080.0931.849.6336.1355.4
Jupiter5.203778.311.860.0481.3100.514.334.4
Saturn9.5551429.429.420.0562.5113.793.150.1
Uranus19.2182875.083.750.0460.874.0173.0314.1
Neptune30.1104504.4163.730.0091.8131.848.1304.3
Pluto39.5455915.8248.030.24917.1110.3224.1238.7

These elements are referred to the mean equinox and ecliptic of J2000.0 = JD 245 1545.0 = 2000 January 1.5 .

Physical Elements of the Planets

ObjectEquat. Diam.OblatenessMassDensityGravityEscape SpeedRot'n PeriodIncl.Albedo
Namekm--Earth=1t/m3Earth=1km/sd°--
Sun13920000332946.01.4127.9617.525-35*--------
Mercury487900.0552745.430.384.258.6460.00.11
Venus1210400.8150055.240.9010.4243.019177.40.65
Earth127561/2981.0000005.521.0011.20.997323.40.37
Moon347500.0123003.340.172.427.32176.70.12
Mars67941/1540.1074473.940.385.01.026025.20.15
Jupiter142980##1/15.4317.8331.332.5359.50.4101#3.10.52
Saturn120540##1/10.295.1590.701.0635.50.444025.30.47
Uranus51120##1/43.614.5001.300.9021.30.718397.90.51
Neptune49530##1/58.517.2041.761.1423.50.671228.30.41
Pluto23000?0.00251.10.081.36.3872123.0.3

- The table gives the mean density, the gravity and the escape speed at the equator, and the inclination of the equator to the orbital plane.
* Depending on latitude.
# For the most rapidly rotating part of Jupiter, the equatorial region.
## At 1 bar (101.325 kPa).

Length

  • One astronomical unit (AU).................
  • = 1.49597870 * 1011 m.
  • One light-year (ly)...............................
  • = 9.460536 * 1015 m.
  • ...........................................................
  • = 63239.8 AU.
  • One parsec (pc)..................................
  • = 3.261631 light-year = 206264.8 AU
  • ...........................................................
  • = 3.085678 * 1016 m.
  • One mile.............................................
  • º 1.609344 km.

    Time

    Day

  • Mean sidereal (equinox to equinox):..............
  • = 86,164.093 S
  • Mean rotation (fixed star to fixed star):..........
  • = 86,164.101 S
  • Day (d):........................................................
  • º 86,400 S
  • Mean solar:...................................................
  • = 86,400.002 S

    Month

  • Draconic (node to node):...........................
  • = 27.21222 d
  • Tropical (equinox to equinox):....................
  • = 27.32158 d
  • Sidereal (fixed star to fixed star):................
  • = 27.32166 d
  • Anomalistic (perigee to perigee):................
  • = 27.55455 d
  • Synodic (New Moon to New Moon):........
  • = 29.53059 d

    Year

  • Eclipse (lunar node to lunar node):..........
  • = 346.6201 d
  • Tropical (equinox to equinox) (a):...........
  • = 365.2422 d
  • Average Gregorian:................................
  • º 365.2425 d
  • Average Julian:.......................................
  • º 365.2500 d
  • Sidereal (fixed star to fixed star):.............
  • = 365.2564 d
  • Anomalistic (perihelion to perihelion):......
  • = 365.2596 d

    Earth

    • Mass = 5.974 * 1024 kg.
    • Radius:
    • Equatorial (a)
    • = 6378.140 km.
    • Polar (b)
    • = 6356.755 km.
    • Mean
    • = 6371.004 km.
  • One degree of latitude = 111.133 - 0.559 cos 2f km (at latitude f).
  • One degree of longitude = 111.413 cosf - 0.094 cos 3f km.
  • Dip of horizon in degrees for eye h meters above sea-level » 0.0293*Sqr(h).
  • Standard atmospheric pressure º 101.325 kPa (» 1 kg above cm2)
  • Speed of sound in standard atmosphere = 331 m/s.
  • Magnetic field at surface » 5 * 10-5 T.
  • Standard acceleration of gravity º 9.80665 m/s2
  • Age » 4.6 Ga
  • Solar parallax = 8².794148
  • Constant of aberration = 20².49552
  • Annual general precession = 50².29 (2000.0); Precession period = 25,800 a
  • Orbital speed = 29.8 km/s

    Sun

    • Mass = 1.9891 * 1030 kg.
    • Radius = 696,265 km.
    • Surface temperature = 5,780 K.
    • Inclination of the solar equator on the ecliptic of date = 7°.25
    • Longitude of the ascending node of the solar equator on the ecliptic of date = 76°
    • Period of rotation at equator:
      • Sidereal = 25.38 d
      • Mean synodic = 27.275 d
    • Solar wind speed near Earth » 450 km/s (travel time, Sun to Earth » 4 d).
    • Solar velocity = 19.75 km/s toward a = 18.07 h, d = +30° (solar apex).

    Milky Way Galaxy

    • Mass = 1012 solar masses.
    • Center: a = 17 h 45.7 min, d = -29°00¢ (2000).
    • Distance to center » 9 kpc
    • Diameter » 100 kpc
    • North pole: a = 12h 51 min, d = 27°08¢ (2000).
    • Rotational speed (at Sun) » 250 km/s
    • Rotational period (at Sun) » 220 Ma
    • Velocity relative to the 3 K background » 600 km/s toward a » 10 h, d » -20°

    Magnitude of Stars

    Magnitude ClassRange IncludedNumber of StarsCumulative Total
    -1-1.50 to -0.5122
    0-0.50 to +0.4968
    +1+0.50 to +1.491422
    +2+1.50 to +2.496890
    +3+2.50 to +3.49197287
    +4+3.50 to +4.49599886
    +5+4.50 to +5.491,9762,862
    +6+5.50 to +6.495,8308,692
    +7+6.50 to +7.4916,72625,418
    +8+7.50 to +8.0124,65350,071

    Greek Alphabet

    #C. LetterS. LetterName#C. LetterS. LetterName
    1AaAlpha13NnNu
    2BbBeta14XxXi
    3GgGamma15OoOmicron
    4DdDelta16PpPi
    5EeEpsilon17RrRho
    6ZzZeta18Ss , VSigma
    7HhEta19TtTau
    8Qq , JTheta20UuUpsilon
    9IiIota21FfPhi
    10KkKappa22CcChi
    11LlLambda23YyPsi
    12MmMu24WwOmega

    Limiting Magnitudes and Separations for Various Apertures

    D (mm)60100125150200250330444
    LG73200320460820130022004000
    Lm 11.612.713.213.614.214.715.315.9
    a (²)2.01.21.00.800.600.480.360.27
    0.2D (x)1220253040506689
    2D (x)120200250300400500660890

    • D: The diameter of the objective in mm.
    • LG (Light Grasp): The ratio of the light flux intercepted by a telescope's objective lens or mirror to that intercepted by a human eye having a 7 mm diameter entrance pupil.
    • Lm: Limiting visual magnitude, where Lm » 2.7 + 5 log D, assuming transparent, dark-sky conditions and magnification M ³ 1D.
    • a: The smallest resolvable angle, where a » 120/D seconds of arc. However, atmospheric conditions seldom permit values less than 0.5².
    • Useful magnification range » 0.2D to 2D. The lower limit may be a little less, but depends upon the maximum diameter of the entrance pupil of the individual observer's eye. The upper limit is determined by the wave nature of the light and the optical limitations of the eye, although atmospheric turbulence usually limits the maximum magnification to 400x or less. For examination of double stars, detection of faint stars, and studying structure in bright nebulae, magnification of up to 4D are sometimes useful. Note that the reciprocal of the coefficient to D is the diameter (in mm) of the telescope's exit pupil.

    Limiting Lunar Details

    The following table (based upon work by E.A. Whitaker) gives the approximate diameters of the smallest crater half-filled with shadow, and of the narrowest black line certainly distinguishable. Perfect seeing conditions and optical equipment are assumed. Observationally, different observers will have different limits.

    ApertureSmallest craterNarrowest rill
    (Inches)(Km/m)(m)
    114.5 Km805
    27.2 Km402
    34.8 Km257
    43.6 Km201
    62.4 Km137
    81.8 Km101
    101.5 Km82
    121.2 Km64
    151.0 Km55
    18805 m46
    33457 m27

    Spectral Types

    Spectral typeNotesTemperature (K)Star example
    WRRare, very luminous» 50,000g2 Vel
    OExtremely hot, blue28,000-50,000Alnitak (z Ori)
    BHot, blue stars10,000-28,000Regulus (a Leo)
    ABlue-white stars7,500-10,000Vega (a Lyr)
    FWhite stars6,000-7,500Procyone (a CMi)
    GYellow stars5,000-6,000Capella (a Aur)
    KOrange stars3,500-5,000Aldebaran (a Tau)
    MRed giants2,000-3,500Ras Algethi (a Her)
    SRed giants (zirconium)2,000-3,500R Andromedae
    CRed giants (carbon stars)<2,000X Cancri

    Luminosity Classes

    Spectral typeNotes
    0Very luminous supergiants
    IaBright supergiants
    IbSupergiants
    IIBright giants
    IIIGiants (normal giants)
    IVSubgiants
    VMain sequence (dwarfs)
    VISubdwarfs
    VIIWhite dwarfs

    Miscellaneous

    • Speed of light, c º 299,792,458. m/s
    • p = 3.14 15 92 65 35 89 79
    • Number of square degrees on a sphere = 41,253
    • For 360° = 24 h, 15° = 1 h, 15¢ = 1 min, 15² = 1 s

    Sources

    1. Observer's HandBook, of the Royal Astronomical Society of Canada (RASC), edited by Mr. Roy Bishop, after taking his kind permission.
    2. Sky Catalogue 2000.0, by Hirshfeld, Sinnott, and Ochsenbein. After taking permission from Mr. Sinnott of the Sky Publishing Corp.
    3. The Amateur Astronomer, by Patrick Moore.
    4. StarList 2000, by Richard Dibon-Smith.

    Note: Many of the numbers listed above are determined by measurement. Exceptions include defined quantities (indicated by three lines in the equal sign º), quantities calculated from defined quantities (e.g. m/ly, AU/pc), and numbers of mathematical origin such as p and conversion factors in angular measure. Of the measured quantities, some are known to only approximate precision. For these the equal sign is reduced to ».


    By Moh'd Odeh. Copyright © 1998-2006 Islamic Crescents' Observation Project (ICOP), All Rights Reserved. This material may not be reproduced in any form without permission. For more information
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