(675) Ludmilla
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	22 Dec 2024	11.5	2.351 AU	1.438 AU	07h54m	+14°14'	151.8°	11.4°
Opposition	12 Jan 2025	11.1	2.389 AU	1.412 AU	07h33m	+13°15'	171.6°	3.4°

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 Ludmilla are:

            e (Eccentricity)                : 0.2053205
            a (Semimajor axis)              : 2.7688841
            i (Inclination)                 : 9.81059
            Ω (Longitude of ascending node) : 262.98710
            ω (Argument of perihelion)      : 152.49533
            M (Mean anomaly)                : 20.63748
            Epoch                           : 2024 Oct 17

            L (Longitude of perihelion)     : 235.82671
            B (Latitude of perihelion)      : 4.51329
            P (Orbital period in years)     : 4.61            
        

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
2024-12-22 00:00 UT   07 54 14.6   +14 14 01     1.438    2.351  151.8   11.4   293   11.5 
2024-12-22 18:30 UT   07 53 38.6   +14 11 09     1.435    2.353  152.7   11.1   294   11.5 
2024-12-23 00:00 UT   07 53 27.7   +14 10 18     1.434    2.353  152.9   11.0   294   11.5 
2024-12-24 00:00 UT   07 52 39.5   +14 06 42     1.431    2.355  154.1   10.5   295   11.5 
2024-12-25 00:00 UT   07 51 49.9   +14 03 11     1.427    2.356  155.2   10.1   296   11.4 
2024-12-26 00:00 UT   07 50 59.0   +13 59 46     1.424    2.358  156.3    9.6   297   11.4 
2024-12-27 00:00 UT   07 50 06.9   +13 56 27     1.421    2.360  157.5    9.2   298   11.4 
2024-12-28 00:00 UT   07 49 13.7   +13 53 14     1.419    2.362  158.6    8.7   299   11.4 
2024-12-29 00:00 UT   07 48 19.3   +13 50 08     1.416    2.363  159.7    8.3   300   11.3 
2024-12-30 00:00 UT   07 47 24.0   +13 47 07     1.414    2.365  160.8    7.9   302   11.3 
2024-12-31 00:00 UT   07 46 27.7   +13 44 12     1.412    2.367  161.9    7.4   304   11.3 
2025-01-01 00:00 UT   07 45 30.6   +13 41 23     1.411    2.369  163.0    7.0   305   11.3 
2025-01-02 00:00 UT   07 44 32.7   +13 38 39     1.409    2.370  164.1    6.5   308   11.3 
2025-01-03 00:00 UT   07 43 34.1   +13 36 02     1.408    2.372  165.1    6.1   310   11.2 
2025-01-04 00:00 UT   07 42 34.9   +13 33 31     1.408    2.374  166.1    5.7   313   11.2 
2025-01-05 00:00 UT   07 41 35.2   +13 31 05     1.407    2.376  167.1    5.3   316   11.2 
2025-01-06 00:00 UT   07 40 35.0   +13 28 46     1.407    2.378  168.0    4.9   320   11.2 
2025-01-07 00:00 UT   07 39 34.5   +13 26 31     1.407    2.379  168.9    4.6   325   11.2 
2025-01-08 00:00 UT   07 38 33.8   +13 24 23     1.407    2.381  169.7    4.2   330   11.2 
2025-01-09 00:00 UT   07 37 32.8   +13 22 20     1.408    2.383  170.4    4.0   336   11.1 
2025-01-10 00:00 UT   07 36 31.7   +13 20 23     1.409    2.385  170.9    3.7   343   11.1 
2025-01-11 00:00 UT   07 35 30.7   +13 18 31     1.410    2.387  171.3    3.6   350   11.1 
2025-01-12 00:00 UT   07 34 29.6   +13 16 44     1.411    2.388  171.6    3.5   359   11.1 
2025-01-13 00:00 UT   07 33 28.8   +13 15 03     1.413    2.390  171.7    3.4     7   11.1 
2025-01-14 00:00 UT   07 32 28.1   +13 13 27     1.415    2.392  171.5    3.5    16   11.1 
2025-01-15 00:00 UT   07 31 27.8   +13 11 57     1.417    2.394  171.2    3.6    24   11.1 
2025-01-16 00:00 UT   07 30 27.9   +13 10 31     1.420    2.396  170.8    3.8    31   11.2 
2025-01-17 00:00 UT   07 29 28.4   +13 09 11     1.422    2.398  170.2    4.0    38   11.2 
2025-01-18 00:00 UT   07 28 29.4   +13 07 55     1.425    2.399  169.5    4.3    44   11.2 
2025-01-19 00:00 UT   07 27 31.1   +13 06 45     1.429    2.401  168.7    4.6    49   11.2 
2025-01-20 00:00 UT   07 26 33.5   +13 05 39     1.432    2.403  167.8    5.0    53   11.3 
2025-01-21 00:00 UT   07 25 36.6   +13 04 38     1.436    2.405  166.9    5.3    57   11.3 

    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.