(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	8 Jul 2026	11.3	3.218 AU	2.207 AU	19h18m	-29°10'	172.9°	2.2°
Opposition	9 Jul 2026	11.3	3.218 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)                : 0.0694689
            a (Semimajor axis)              : 3.0645494
            i (Inclination)                 : 15.20537
            Ω (Longitude of ascending node) : 88.99604
            ω (Argument of perihelion)      : 337.23129
            M (Mean anomaly)                : 221.20082
            Epoch                           : 2026 Jun 09

            L (Longitude of perihelion)     : 66.94685
            B (Latitude of perihelion)      : -5.82586
            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
2026-07-08 00:00 UT   19 18 53.9   -29 10 07     2.207    3.218  172.9    2.2   338   11.3 
2026-07-08 07:02 UT   19 18 38.3   -29 11 41     2.207    3.218  172.9    2.2   341   11.3 
2026-07-09 00:00 UT   19 18 00.5   -29 15 27     2.206    3.218  173.0    2.2   347   11.3 
2026-07-10 00:00 UT   19 17 06.9   -29 20 42     2.206    3.217  172.9    2.2   357   11.3 
2026-07-11 00:00 UT   19 16 13.2   -29 25 53     2.206    3.217  172.7    2.3     6   11.3 
2026-07-12 00:00 UT   19 15 19.4   -29 30 59     2.206    3.216  172.3    2.4    15   11.3 
2026-07-13 00:00 UT   19 14 25.6   -29 36 00     2.207    3.216  171.7    2.6    22   11.3 
2026-07-14 00:00 UT   19 13 31.9   -29 40 56     2.207    3.216  171.1    2.8    28   11.3 
2026-07-15 00:00 UT   19 12 38.2   -29 45 48     2.209    3.215  170.3    3.0    34   11.3 
2026-07-16 00:00 UT   19 11 44.7   -29 50 33     2.210    3.215  169.5    3.3    39   11.4 
2026-07-17 00:00 UT   19 10 51.5   -29 55 14     2.212    3.214  168.6    3.6    43   11.4 
2026-07-18 00:00 UT   19 09 58.5   -29 59 49     2.214    3.214  167.7    3.9    46   11.4 
2026-07-19 00:00 UT   19 09 05.8   -30 04 18     2.216    3.213  166.7    4.2    49   11.4 
2026-07-20 00:00 UT   19 08 13.6   -30 08 41     2.218    3.213  165.7    4.5    52   11.4 
2026-07-21 00:00 UT   19 07 21.7   -30 12 59     2.221    3.212  164.7    4.8    54   11.5 
2026-07-22 00:00 UT   19 06 30.4   -30 17 11     2.224    3.212  163.7    5.1    56   11.5 
2026-07-23 00:00 UT   19 05 39.7   -30 21 16     2.227    3.211  162.7    5.4    58   11.5 
2026-07-24 00:00 UT   19 04 49.5   -30 25 16     2.231    3.211  161.6    5.7    59   11.5 
2026-07-25 00:00 UT   19 03 59.9   -30 29 09     2.235    3.210  160.6    6.0    61   11.5 
2026-07-26 00:00 UT   19 03 11.1   -30 32 56     2.239    3.210  159.5    6.4    62   11.6 
2026-07-27 00:00 UT   19 02 23.0   -30 36 37     2.243    3.209  158.4    6.7    63   11.6 
2026-07-28 00:00 UT   19 01 35.7   -30 40 12     2.248    3.209  157.4    7.0    64   11.6 
2026-07-29 00:00 UT   19 00 49.2   -30 43 41     2.253    3.209  156.3    7.3    65   11.6 
2026-07-30 00:00 UT   19 00 03.5   -30 47 03     2.258    3.208  155.2    7.6    66   11.6 
2026-07-31 00:00 UT   18 59 18.8   -30 50 20     2.263    3.208  154.2    7.9    67   11.6 
2026-08-01 00:00 UT   18 58 35.1   -30 53 30     2.269    3.207  153.1    8.2    68   11.7 
2026-08-02 00:00 UT   18 57 52.3   -30 56 34     2.275    3.207  152.0    8.5    69   11.7 
2026-08-03 00:00 UT   18 57 10.5   -30 59 32     2.281    3.206  150.9    8.8    69   11.7 
2026-08-04 00:00 UT   18 56 29.8   -31 02 24     2.287    3.206  149.9    9.1    70   11.7 
2026-08-05 00:00 UT   18 55 50.3   -31 05 10     2.294    3.205  148.8    9.4    71   11.7 
2026-08-06 00:00 UT   18 55 11.8   -31 07 50     2.301    3.205  147.7    9.7    71   11.8 
2026-08-07 00:00 UT   18 54 34.5   -31 10 24     2.308    3.204  146.7   10.0    72   11.8 

    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.