(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	10 Jan 2026	13.0	3.272 AU	4.146 AU	17h40m	-21°07'	24.0°	7.0°
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)                : 0.0696360
            a (Semimajor axis)              : 3.0641587
            i (Inclination)                 : 15.20639
            Ω (Longitude of ascending node) : 88.99603
            ω (Argument of perihelion)      : 337.19308
            M (Mean anomaly)                : 184.50431
            Epoch                           : 2025 Nov 21

            L (Longitude of perihelion)     : 66.90968
            B (Latitude of perihelion)      : -5.83553
            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.

Ephemerides:

Date       Time       RA (2000)    DEC (2000)    delta   radius  elong  phase   PA    magn
2026-01-10 00:00 UT   17 40 43.7   -21 07 42     4.146    3.272   24.0    7.0   277   13.0 
2026-01-10 22:14 UT   17 42 05.1   -21 09 57     4.141    3.272   24.6    7.2   277   13.0 
2026-01-11 00:00 UT   17 42 11.6   -21 10 08     4.140    3.272   24.6    7.2   277   13.0 
2026-01-12 00:00 UT   17 43 39.3   -21 12 31     4.134    3.272   25.3    7.4   276   13.0 
2026-01-13 00:00 UT   17 45 06.9   -21 14 51     4.127    3.272   26.0    7.6   276   13.0 
2026-01-14 00:00 UT   17 46 34.4   -21 17 07     4.121    3.272   26.7    7.8   276   13.0 
2026-01-15 00:00 UT   17 48 01.8   -21 19 21     4.114    3.271   27.3    7.9   275   13.0 
2026-01-16 00:00 UT   17 49 28.9   -21 21 32     4.107    3.271   28.0    8.1   275   13.0 
2026-01-17 00:00 UT   17 50 55.9   -21 23 39     4.100    3.271   28.7    8.3   275   13.0 
2026-01-18 00:00 UT   17 52 22.8   -21 25 44     4.093    3.271   29.4    8.5   274   13.0 
2026-01-19 00:00 UT   17 53 49.5   -21 27 46     4.085    3.271   30.0    8.7   274   13.0 
2026-01-20 00:00 UT   17 55 16.0   -21 29 45     4.078    3.271   30.7    8.8   274   13.0 
2026-01-21 00:00 UT   17 56 42.3   -21 31 41     4.070    3.271   31.4    9.0   273   13.0 
2026-01-22 00:00 UT   17 58 08.4   -21 33 34     4.062    3.270   32.1    9.2   273   13.0 
2026-01-23 00:00 UT   17 59 34.2   -21 35 25     4.054    3.270   32.8    9.4   273   13.0 
2026-01-24 00:00 UT   18 00 59.9   -21 37 13     4.046    3.270   33.4    9.6   273   13.0 
2026-01-25 00:00 UT   18 02 25.4   -21 38 58     4.038    3.270   34.1    9.7   272   13.0 
2026-01-26 00:00 UT   18 03 50.6   -21 40 40     4.029    3.270   34.8    9.9   272   13.0 
2026-01-27 00:00 UT   18 05 15.6   -21 42 20     4.021    3.270   35.5   10.1   272   13.0 
2026-01-28 00:00 UT   18 06 40.4   -21 43 58     4.012    3.269   36.2   10.2   272   13.0 
2026-01-29 00:00 UT   18 08 04.9   -21 45 33     4.003    3.269   36.9   10.4   271   13.0 
2026-01-30 00:00 UT   18 09 29.1   -21 47 05     3.994    3.269   37.6   10.6   271   13.0 
2026-01-31 00:00 UT   18 10 53.1   -21 48 35     3.985    3.269   38.2   10.8   271   13.0 
2026-02-01 00:00 UT   18 12 16.8   -21 50 02     3.976    3.269   38.9   10.9   271   13.0 
2026-02-02 00:00 UT   18 13 40.3   -21 51 28     3.966    3.268   39.6   11.1   270   13.0 
2026-02-03 00:00 UT   18 15 03.5   -21 52 50     3.957    3.268   40.3   11.3   270   13.0 
2026-02-04 00:00 UT   18 16 26.4   -21 54 11     3.947    3.268   41.0   11.4   270   13.0 

    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.