(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	20 Dec 2025	12.8	3.275 AU	4.239 AU	17h09m	-20°04'	10.2°	3.1°
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
2025-12-20 00:00 UT   17 09 41.0   -20 04 05     4.239    3.275   10.2    3.1   291   12.8 
2025-12-20 02:31 UT   17 09 50.3   -20 04 27     4.238    3.275   10.3    3.1   291   12.8 
2025-12-21 00:00 UT   17 11 10.1   -20 07 40     4.236    3.275   10.8    3.2   290   12.8 
2025-12-22 00:00 UT   17 12 39.1   -20 11 12     4.233    3.275   11.5    3.4   289   12.8 
2025-12-23 00:00 UT   17 14 08.2   -20 14 41     4.230    3.274   12.1    3.6   288   12.8 
2025-12-24 00:00 UT   17 15 37.3   -20 18 06     4.227    3.274   12.8    3.8   287   12.9 
2025-12-25 00:00 UT   17 17 06.3   -20 21 28     4.223    3.274   13.4    4.0   286   12.9 
2025-12-26 00:00 UT   17 18 35.3   -20 24 46     4.220    3.274   14.1    4.2   285   12.9 
2025-12-27 00:00 UT   17 20 04.3   -20 28 01     4.216    3.274   14.7    4.4   284   12.9 
2025-12-28 00:00 UT   17 21 33.2   -20 31 12     4.212    3.274   15.4    4.6   283   12.9 
2025-12-29 00:00 UT   17 23 02.2   -20 34 20     4.208    3.274   16.0    4.8   283   12.9 
2025-12-30 00:00 UT   17 24 31.0   -20 37 25     4.204    3.274   16.7    4.9   282   12.9 
2025-12-31 00:00 UT   17 25 59.8   -20 40 27     4.199    3.274   17.3    5.1   281   12.9 
2026-01-01 00:00 UT   17 27 28.6   -20 43 25     4.195    3.273   18.0    5.3   281   12.9 
2026-01-02 00:00 UT   17 28 57.2   -20 46 20     4.190    3.273   18.6    5.5   280   12.9 
2026-01-03 00:00 UT   17 30 25.8   -20 49 11     4.185    3.273   19.3    5.7   280   12.9 
2026-01-04 00:00 UT   17 31 54.4   -20 51 60     4.180    3.273   20.0    5.9   279   12.9 
2026-01-05 00:00 UT   17 33 22.8   -20 54 45     4.175    3.273   20.6    6.1   279   12.9 
2026-01-06 00:00 UT   17 34 51.2   -20 57 26     4.169    3.273   21.3    6.3   279   12.9 
2026-01-07 00:00 UT   17 36 19.5   -21 00 05     4.164    3.273   22.0    6.5   278   13.0 
2026-01-08 00:00 UT   17 37 47.7   -21 02 41     4.158    3.273   22.6    6.6   278   13.0 
2026-01-09 00:00 UT   17 39 15.8   -21 05 13     4.152    3.272   23.3    6.8   277   13.0 
2026-01-10 00:00 UT   17 40 43.7   -21 07 42     4.146    3.272   24.0    7.0   277   13.0 
2026-01-11 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 

    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.