(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	3 Jun 2026	11.9	3.233 AU	2.399 AU	19h42m	-25°49'	138.9°	11.9°
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)      : 337.19309
            M (Mean anomaly)                : 184.50431
            Epoch                           : 2025 Nov 21

            L (Longitude of perihelion)     : 66.90969
            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
2026-06-03 00:00 UT   19 42 24.2   -25 49 11     2.399    3.233  138.9   11.9   265   11.9 
2026-06-03 01:54 UT   19 42 22.6   -25 49 36     2.398    3.233  139.0   11.9   265   11.9 
2026-06-04 00:00 UT   19 42 03.0   -25 54 33     2.389    3.233  140.0   11.6   265   11.9 
2026-06-05 00:00 UT   19 41 40.4   -25 59 58     2.380    3.232  141.0   11.4   266   11.9 
2026-06-06 00:00 UT   19 41 16.4   -26 05 27     2.371    3.232  142.1   11.1   266   11.9 
2026-06-07 00:00 UT   19 40 51.2   -26 10 58     2.362    3.231  143.1   10.9   267   11.9 
2026-06-08 00:00 UT   19 40 24.6   -26 16 34     2.353    3.231  144.2   10.6   267   11.9 
2026-06-09 00:00 UT   19 39 56.7   -26 22 12     2.345    3.231  145.2   10.3   267   11.8 
2026-06-10 00:00 UT   19 39 27.5   -26 27 52     2.336    3.230  146.3   10.1   268   11.8 
2026-06-11 00:00 UT   19 38 57.0   -26 33 36     2.328    3.230  147.3    9.8   268   11.8 
2026-06-12 00:00 UT   19 38 25.2   -26 39 22     2.320    3.229  148.4    9.5   269   11.8 
2026-06-13 00:00 UT   19 37 52.2   -26 45 10     2.313    3.229  149.5    9.2   269   11.8 
2026-06-14 00:00 UT   19 37 18.0   -26 50 60     2.305    3.228  150.5    8.9   270   11.7 
2026-06-15 00:00 UT   19 36 42.6   -26 56 51     2.298    3.228  151.6    8.6   270   11.7 
2026-06-16 00:00 UT   19 36 06.0   -27 02 44     2.291    3.228  152.7    8.3   271   11.7 
2026-06-17 00:00 UT   19 35 28.2   -27 08 39     2.285    3.227  153.7    8.0   272   11.7 
2026-06-18 00:00 UT   19 34 49.3   -27 14 34     2.278    3.227  154.8    7.7   273   11.7 
2026-06-19 00:00 UT   19 34 09.4   -27 20 30     2.272    3.226  155.9    7.4   273   11.6 
2026-06-20 00:00 UT   19 33 28.4   -27 26 27     2.266    3.226  157.0    7.1   274   11.6 
2026-06-21 00:00 UT   19 32 46.3   -27 32 24     2.261    3.226  158.0    6.8   275   11.6 
2026-06-22 00:00 UT   19 32 03.3   -27 38 21     2.255    3.225  159.1    6.5   276   11.6 
2026-06-23 00:00 UT   19 31 19.4   -27 44 18     2.250    3.225  160.2    6.1   278   11.6 
2026-06-24 00:00 UT   19 30 34.5   -27 50 14     2.245    3.224  161.2    5.8   279   11.5 
2026-06-25 00:00 UT   19 29 48.8   -27 56 09     2.241    3.224  162.3    5.5   281   11.5 
2026-06-26 00:00 UT   19 29 02.2   -28 02 04     2.237    3.223  163.3    5.2   282   11.5 
2026-06-27 00:00 UT   19 28 14.8   -28 07 57     2.233    3.223  164.3    4.9   284   11.5 
2026-06-28 00:00 UT   19 27 26.7   -28 13 48     2.229    3.223  165.3    4.6   286   11.5 
2026-06-29 00:00 UT   19 26 37.9   -28 19 38     2.225    3.222  166.3    4.3   289   11.4 
2026-06-30 00:00 UT   19 25 48.4   -28 25 26     2.222    3.222  167.3    4.0   291   11.4 
2026-07-01 00:00 UT   19 24 58.2   -28 31 12     2.219    3.221  168.2    3.7   295   11.4 
2026-07-02 00:00 UT   19 24 07.5   -28 36 55     2.217    3.221  169.1    3.4   298   11.4 
2026-07-03 00:00 UT   19 23 16.3   -28 42 36     2.214    3.220  170.0    3.1   303   11.4 

    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.