(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	1 Jul 2025	12.5	3.264 AU	2.751 AU	14h12m	-00°36'	111.5°	16.8°
Opposition	9 Jul 2026	11.3	3.217 AU	2.206 AU	19h17m	-29°18'	173.0°	2.2°

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 Patientia are:

            e (Eccentricity)                : 0.0697885
            a (Semimajor axis)              : 3.0636631
            i (Inclination)                 : 15.20648
            Ω (Longitude of ascending node) : 88.99596
            ω (Argument of perihelion)      : 337.10370
            M (Mean anomaly)                : 147.84745
            Epoch                           : 2025 May 05

            L (Longitude of perihelion)     : 66.82246
            B (Latitude of perihelion)      : -5.85729
            P (Orbital period in years)     : 5.36            
        

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
2025-07-01 00:00 UT   14 12 28.3   +00 36 27     2.751    3.264  111.5   16.8   115   12.5 
2025-07-01 03:22 UT   14 12 28.9   +00 37 21     2.753    3.264  111.4   16.9   115   12.5 
2025-07-02 00:00 UT   14 12 32.6   +00 42 51     2.764    3.264  110.7   16.9   114   12.5 
2025-07-03 00:00 UT   14 12 37.9   +00 49 19     2.777    3.265  109.8   17.0   114   12.5 
2025-07-04 00:00 UT   14 12 44.4   +00 55 51     2.790    3.265  108.9   17.1   114   12.5 
2025-07-05 00:00 UT   14 12 52.0   -01 02 28     2.803    3.265  108.1   17.2   114   12.5 
2025-07-06 00:00 UT   14 13 00.7   -01 09 08     2.817    3.265  107.2   17.3   113   12.5 
2025-07-07 00:00 UT   14 13 10.5   -01 15 53     2.830    3.266  106.4   17.4   113   12.5 
2025-07-08 00:00 UT   14 13 21.4   -01 22 41     2.843    3.266  105.5   17.5   113   12.6 
2025-07-09 00:00 UT   14 13 33.4   -01 29 33     2.857    3.266  104.7   17.5   113   12.6 
2025-07-10 00:00 UT   14 13 46.5   -01 36 28     2.870    3.266  103.8   17.6   113   12.6 
2025-07-11 00:00 UT   14 14 00.6   -01 43 27     2.884    3.266  103.0   17.7   112   12.6 
2025-07-12 00:00 UT   14 14 15.8   -01 50 29     2.897    3.267  102.2   17.7   112   12.6 
2025-07-13 00:00 UT   14 14 32.0   -01 57 34     2.911    3.267  101.3   17.8   112   12.6 
2025-07-14 00:00 UT   14 14 49.2   -02 04 43     2.925    3.267  100.5   17.8   112   12.6 
2025-07-15 00:00 UT   14 15 07.5   -02 11 55     2.939    3.267   99.7   17.9   112   12.6 
2025-07-16 00:00 UT   14 15 26.8   -02 19 09     2.952    3.267   98.9   17.9   111   12.7 
2025-07-17 00:00 UT   14 15 47.1   -02 26 26     2.966    3.268   98.1   17.9   111   12.7 
2025-07-18 00:00 UT   14 16 08.3   -02 33 47     2.980    3.268   97.3   18.0   111   12.7 
2025-07-19 00:00 UT   14 16 30.6   -02 41 09     2.994    3.268   96.4   18.0   111   12.7 
2025-07-20 00:00 UT   14 16 53.9   -02 48 35     3.008    3.268   95.6   18.0   111   12.7 
2025-07-21 00:00 UT   14 17 18.1   -02 56 03     3.022    3.268   94.8   18.0   110   12.7 
2025-07-22 00:00 UT   14 17 43.3   -03 03 33     3.036    3.268   94.0   18.1   110   12.7 
2025-07-23 00:00 UT   14 18 09.4   -03 11 06     3.050    3.269   93.2   18.1   110   12.7 
2025-07-24 00:00 UT   14 18 36.5   -03 18 41     3.064    3.269   92.5   18.1   110   12.7 
2025-07-25 00:00 UT   14 19 04.5   -03 26 19     3.078    3.269   91.7   18.1   110   12.8 
2025-07-26 00:00 UT   14 19 33.5   -03 33 58     3.092    3.269   90.9   18.1   109   12.8 
2025-07-27 00:00 UT   14 20 03.4   -03 41 39     3.106    3.269   90.1   18.1   109   12.8 
2025-07-28 00:00 UT   14 20 34.1   -03 49 23     3.120    3.270   89.3   18.1   109   12.8 
2025-07-29 00:00 UT   14 21 05.8   -03 57 08     3.134    3.270   88.5   18.1   109   12.8 
2025-07-30 00:00 UT   14 21 38.4   -04 04 54     3.148    3.270   87.8   18.1   109   12.8 
2025-07-31 00:00 UT   14 22 11.8   -04 12 43     3.162    3.270   87.0   18.1   109   12.8 

    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.