(45) Eugenia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Opposition	23 May 2023	10.9	2.495 AU	1.494 AU	16h09m	-09°45'	169.0°	4.5°
Today	7 Jun 2023	11.1	2.497 AU	1.519 AU	15h56m	-09°24'	160.3°	7.9°

The interactive orbit chart above shows the body's path through the solar system and its position at the given date. Green and blue lines are shown perpendicular to the ecliptic plane: Green if the path is above the ecliptic plane, blue if it is below. (Left-click and drag to rotate the view; Right-click and drag to move the view; Use scroll wheel to zoom in our out.)

The orbital elements of Eugenia are:

            e (Eccentricity)                : 0.0833541
            a (Semimajor axis)              : 2.7208804
            i (Inclination)                 : 6.60508
            Ω (Longitude of ascending node) : 147.59158
            ω (Argument of perihelion)      : 87.54349
            M (Mean anomaly)                : 346.55692
            Epoch                           : 2023 Feb 25

            L (Longitude of perihelion)     : 235.11868
            B (Latitude of perihelion)      : 6.59898
            P (Orbital period in years)     : 4.49            
        

The light curve chart below shows the estimated development of the minor planet's magnitude.

The all-sky chart below shows the path of the minor planet over the same period as the light curve. The current position is marked yellow.

The following chart shows the path of the minor planet in the next few days. The field of view is optimized for (~10x50) binoculars and finderscopes. A more printer-friendly version of the same chart can be found below.

Ephemerides:

Date       Time       RA (2000)    DEC (2000)    delta   radius  elong  phase   PA    magn
2023-06-07 00:00 UT   15 56 54.5   -09 24 26     1.519    2.497  160.3    7.9   134   11.1 
2023-06-07 23:13 UT   15 56 09.9   -09 24 01     1.522    2.498  159.3    8.2   132   11.1 
2023-06-08 00:00 UT   15 56 08.4   -09 24 00     1.522    2.498  159.3    8.3   132   11.1 
2023-06-09 00:00 UT   15 55 23.1   -09 23 42     1.526    2.498  158.4    8.6   131   11.2 
2023-06-10 00:00 UT   15 54 38.6   -09 23 32     1.530    2.498  157.4    9.0   129   11.2 
2023-06-11 00:00 UT   15 53 55.2   -09 23 31     1.534    2.498  156.4    9.4   128   11.2 
2023-06-12 00:00 UT   15 53 12.7   -09 23 38     1.539    2.498  155.4    9.7   126   11.2 
2023-06-13 00:00 UT   15 52 31.3   -09 23 54     1.544    2.498  154.4   10.1   125   11.3 
2023-06-14 00:00 UT   15 51 51.0   -09 24 18     1.549    2.499  153.4   10.5   124   11.3 
2023-06-15 00:00 UT   15 51 11.9   -09 24 51     1.554    2.499  152.4   10.9   123   11.3 
2023-06-16 00:00 UT   15 50 33.9   -09 25 32     1.559    2.499  151.4   11.2   122   11.3 
2023-06-17 00:00 UT   15 49 57.2   -09 26 21     1.565    2.499  150.4   11.6   121   11.3 
2023-06-18 00:00 UT   15 49 21.7   -09 27 19     1.571    2.499  149.4   11.9   121   11.4 
2023-06-19 00:00 UT   15 48 47.5   -09 28 26     1.577    2.500  148.4   12.3   120   11.4 
2023-06-20 00:00 UT   15 48 14.7   -09 29 41     1.583    2.500  147.4   12.7   119   11.4 
2023-06-21 00:00 UT   15 47 43.3   -09 31 05     1.590    2.500  146.4   13.0   118   11.4 
2023-06-22 00:00 UT   15 47 13.2   -09 32 36     1.596    2.500  145.4   13.4   118   11.5 
2023-06-23 00:00 UT   15 46 44.6   -09 34 16     1.603    2.500  144.4   13.7   117   11.5 
2023-06-24 00:00 UT   15 46 17.4   -09 36 04     1.610    2.501  143.4   14.0   117   11.5 
2023-06-25 00:00 UT   15 45 51.8   -09 38 01     1.618    2.501  142.4   14.4   116   11.5 
2023-06-26 00:00 UT   15 45 27.6   -09 40 05     1.625    2.501  141.4   14.7   116   11.5 
2023-06-27 00:00 UT   15 45 04.9   -09 42 17     1.633    2.501  140.4   15.0   115   11.6 
2023-06-28 00:00 UT   15 44 43.8   -09 44 37     1.641    2.502  139.4   15.3   115   11.6 
2023-06-29 00:00 UT   15 44 24.2   -09 47 04     1.649    2.502  138.4   15.6   114   11.6 
2023-06-30 00:00 UT   15 44 06.1   -09 49 39     1.657    2.502  137.5   15.9   114   11.6 
2023-07-01 00:00 UT   15 43 49.7   -09 52 22     1.665    2.502  136.5   16.2   113   11.6 
2023-07-02 00:00 UT   15 43 34.7   -09 55 11     1.674    2.503  135.5   16.5   113   11.7 
2023-07-03 00:00 UT   15 43 21.4   -09 58 08     1.682    2.503  134.6   16.8   113   11.7 
2023-07-04 00:00 UT   15 43 09.6   -10 01 12     1.691    2.503  133.6   17.1   112   11.7 
2023-07-05 00:00 UT   15 42 59.5   -10 04 22     1.700    2.503  132.7   17.4   112   11.7 
2023-07-06 00:00 UT   15 42 50.9   -10 07 40     1.709    2.504  131.7   17.6   112   11.8 
2023-07-07 00:00 UT   15 42 43.8   -10 11 04     1.718    2.504  130.8   17.9   111   11.8 

    Terminology:
            
    delta:  distance between minor planet and earth in AU
    radius: distance between minor planet and sun in AU
    magn:   magnitude (brightness) estimate    
    ra:     right ascension in hours (24h = 360deg)
    dec:    declination in degrees
    elong:  elongation in degrees (angle sun-earth-minor planet)    
    phase:  phase angle in degrees (angle sun-minor planet-earth)        
    AU:     Astronomical Unit (mean distance between earth and sun: 149597870.7 km
    

Orbital elements provided by the MPC (Minor Planet Center).
Calculations by a modified version of AAPlus, a C# implementation of the AA+ project by PJ Naughter from the algorithms presented in the book "Astronomical Algorithms" by Jean Meeus.
NGC2000 dso catalog and star labels from VizieR as provided by the Strasbourg astronomical Data Center.
Tycho2 catalog from the ESO archive.