(31) Euphrosyne
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	4 Dec 2023	11.7	2.557 AU	2.238 AU	11h12m	+38°13'	97.2°	22.5°
Opposition	17 Feb 2024	11.0	2.668 AU	1.807 AU	11h11m	+45°11'	143.7°	12.7°

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 Euphrosyne are:

            e (Eccentricity)                : 0.2159173
            a (Semimajor axis)              : 3.1591549
            i (Inclination)                 : 26.32090
            Ω (Longitude of ascending node) : 30.79789
            ω (Argument of perihelion)      : 61.76722
            M (Mean anomaly)                : 7.75519
            Epoch                           : 2023 Sep 13

            L (Longitude of perihelion)     : 89.87470
            B (Latitude of perihelion)      : 22.99485
            P (Orbital period in years)     : 5.62            
        

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
2023-12-04 00:00 UT   11 12 34.9   +38 13 40     2.238    2.557   97.2   22.5   293   11.7 
2023-12-04 03:38 UT   11 12 45.5   +38 14 03     2.237    2.557   97.3   22.5   292   11.7 
2023-12-05 00:00 UT   11 13 44.7   +38 16 17     2.229    2.558   97.9   22.4   292   11.7 
2023-12-06 00:00 UT   11 14 53.1   +38 19 04     2.219    2.559   98.6   22.4   292   11.7 
2023-12-07 00:00 UT   11 16 00.0   +38 21 59     2.210    2.560   99.3   22.3   291   11.7 
2023-12-08 00:00 UT   11 17 05.5   +38 25 03     2.200    2.561  100.0   22.3   291   11.7 
2023-12-09 00:00 UT   11 18 09.6   +38 28 17     2.191    2.563  100.6   22.2   291   11.7 
2023-12-10 00:00 UT   11 19 12.2   +38 31 39     2.181    2.564  101.3   22.1   290   11.7 
2023-12-11 00:00 UT   11 20 13.2   +38 35 11     2.172    2.565  102.0   22.1   290   11.7 
2023-12-12 00:00 UT   11 21 12.7   +38 38 51     2.163    2.567  102.7   22.0   289   11.7 
2023-12-13 00:00 UT   11 22 10.7   +38 42 41     2.154    2.568  103.4   21.9   289   11.7 
2023-12-14 00:00 UT   11 23 07.0   +38 46 39     2.145    2.569  104.1   21.8   289   11.6 
2023-12-15 00:00 UT   11 24 01.8   +38 50 47     2.136    2.570  104.8   21.7   288   11.6 
2023-12-16 00:00 UT   11 24 54.9   +38 55 04     2.126    2.572  105.6   21.6   288   11.6 
2023-12-17 00:00 UT   11 25 46.3   +38 59 29     2.118    2.573  106.3   21.5   287   11.6 
2023-12-18 00:00 UT   11 26 36.1   +39 04 03     2.109    2.574  107.0   21.4   287   11.6 
2023-12-19 00:00 UT   11 27 24.2   +39 08 46     2.100    2.576  107.7   21.3   286   11.6 
2023-12-20 00:00 UT   11 28 10.5   +39 13 38     2.091    2.577  108.4   21.2   286   11.6 
2023-12-21 00:00 UT   11 28 55.1   +39 18 38     2.082    2.578  109.1   21.1   285   11.6 
2023-12-22 00:00 UT   11 29 37.9   +39 23 46     2.074    2.580  109.9   21.0   285   11.6 
2023-12-23 00:00 UT   11 30 18.9   +39 29 03     2.065    2.581  110.6   20.9   284   11.5 
2023-12-24 00:00 UT   11 30 58.0   +39 34 28     2.057    2.582  111.3   20.8   283   11.5 
2023-12-25 00:00 UT   11 31 35.4   +39 40 01     2.048    2.584  112.0   20.7   283   11.5 
2023-12-26 00:00 UT   11 32 10.8   +39 45 42     2.040    2.585  112.8   20.5   282   11.5 
2023-12-27 00:00 UT   11 32 44.4   +39 51 31     2.032    2.586  113.5   20.4   282   11.5 
2023-12-28 00:00 UT   11 33 16.1   +39 57 27     2.024    2.588  114.2   20.3   281   11.5 
2023-12-29 00:00 UT   11 33 45.7   +40 03 31     2.016    2.589  115.0   20.1   280   11.5 
2023-12-30 00:00 UT   11 34 13.5   +40 09 42     2.008    2.591  115.7   20.0   280   11.5 
2023-12-31 00:00 UT   11 34 39.2   +40 15 60     2.000    2.592  116.4   19.9   279   11.4 
2024-01-01 00:00 UT   11 35 02.8   +40 22 25     1.993    2.594  117.2   19.7   278   11.4 
2024-01-02 00:00 UT   11 35 24.5   +40 28 56     1.985    2.595  117.9   19.6   277   11.4 
2024-01-03 00:00 UT   11 35 44.0   +40 35 34     1.977    2.596  118.6   19.4   277   11.4 

    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.