(33) Polyhymnia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Opposition	8 Nov 2024	10.8	2.188 AU	1.198 AU	02h54m	+18°50'	177.8°	1.0°
Today	21 Nov 2024	11.2	2.227 AU	1.258 AU	02h43m	+18°10'	165.1°	6.5°

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 Polyhymnia are:

            e (Eccentricity)                : 0.3317359
            a (Semimajor axis)              : 2.8733815
            i (Inclination)                 : 1.85197
            Ω (Longitude of ascending node) : 8.42897
            ω (Argument of perihelion)      : 338.64985
            M (Mean anomaly)                : 26.28200
            Epoch                           : 2024 Oct 17

            L (Longitude of perihelion)     : -12.91103
            B (Latitude of perihelion)      : -0.67414
            P (Orbital period in years)     : 4.87            
        

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
2024-11-21 00:00 UT   02 43 44.9   +18 10 05     1.258    2.227  165.1    6.5    81   11.2 
2024-11-21 12:41 UT   02 43 20.7   +18 08 27     1.262    2.229  164.5    6.8    80   11.3 
2024-11-22 00:00 UT   02 42 59.5   +18 07 00     1.265    2.231  163.9    7.0    80   11.3 
2024-11-23 00:00 UT   02 42 15.4   +18 03 59     1.272    2.234  162.7    7.5    80   11.3 
2024-11-24 00:00 UT   02 41 32.8   +18 01 01     1.279    2.237  161.6    8.0    79   11.4 
2024-11-25 00:00 UT   02 40 51.6   +17 58 07     1.286    2.240  160.4    8.5    79   11.4 
2024-11-26 00:00 UT   02 40 11.9   +17 55 17     1.293    2.244  159.2    9.0    78   11.4 
2024-11-27 00:00 UT   02 39 33.7   +17 52 33     1.301    2.247  158.1    9.4    78   11.5 
2024-11-28 00:00 UT   02 38 57.2   +17 49 53     1.309    2.250  156.9    9.9    77   11.5 
2024-11-29 00:00 UT   02 38 22.3   +17 47 18     1.317    2.253  155.7   10.4    77   11.5 
2024-11-30 00:00 UT   02 37 49.0   +17 44 49     1.326    2.257  154.6   10.8    77   11.6 
2024-12-01 00:00 UT   02 37 17.4   +17 42 26     1.334    2.260  153.5   11.2    77   11.6 
2024-12-02 00:00 UT   02 36 47.6   +17 40 09     1.343    2.263  152.3   11.7    76   11.6 
2024-12-03 00:00 UT   02 36 19.6   +17 37 58     1.352    2.266  151.2   12.1    76   11.7 
2024-12-04 00:00 UT   02 35 53.3   +17 35 54     1.362    2.270  150.1   12.5    76   11.7 
2024-12-05 00:00 UT   02 35 28.8   +17 33 56     1.371    2.273  149.0   12.9    76   11.7 
2024-12-06 00:00 UT   02 35 06.2   +17 32 06     1.381    2.276  147.9   13.3    75   11.8 
2024-12-07 00:00 UT   02 34 45.4   +17 30 22     1.391    2.280  146.8   13.7    75   11.8 
2024-12-08 00:00 UT   02 34 26.4   +17 28 45     1.401    2.283  145.7   14.1    75   11.8 
2024-12-09 00:00 UT   02 34 09.3   +17 27 16     1.411    2.286  144.6   14.5    75   11.9 
2024-12-10 00:00 UT   02 33 54.1   +17 25 55     1.422    2.290  143.5   14.8    75   11.9 
2024-12-11 00:00 UT   02 33 40.7   +17 24 40     1.433    2.293  142.4   15.2    75   11.9 
2024-12-12 00:00 UT   02 33 29.2   +17 23 34     1.443    2.296  141.4   15.5    75   12.0 
2024-12-13 00:00 UT   02 33 19.6   +17 22 35     1.455    2.300  140.3   15.9    74   12.0 
2024-12-14 00:00 UT   02 33 11.8   +17 21 43     1.466    2.303  139.3   16.2    74   12.0 
2024-12-15 00:00 UT   02 33 05.8   +17 20 59     1.477    2.306  138.2   16.5    74   12.1 
2024-12-16 00:00 UT   02 33 01.7   +17 20 23     1.489    2.310  137.2   16.8    74   12.1 
2024-12-17 00:00 UT   02 32 59.4   +17 19 55     1.501    2.313  136.2   17.1    74   12.1 
2024-12-18 00:00 UT   02 32 58.9   +17 19 34     1.513    2.317  135.1   17.4    74   12.1 
2024-12-19 00:00 UT   02 33 00.2   +17 19 21     1.525    2.320  134.1   17.7    74   12.2 
2024-12-20 00:00 UT   02 33 03.3   +17 19 15     1.537    2.323  133.1   18.0    74   12.2 
2024-12-21 00:00 UT   02 33 08.1   +17 19 18     1.550    2.327  132.1   18.3    74   12.2 

    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.