(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	15 Sep 2026	12.4	3.184 AU	2.720 AU	18h48m	-31°48'	108.4°	17.4°
Opposition	3 Oct 2027	11.2	2.938 AU	1.988 AU	01h12m	-16°40'	157.6°	7.5°

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) : 88.99605
            ω (Argument of perihelion)      : 337.23129
            M (Mean anomaly)                : 221.20082
            Epoch                           : 2026 Jun 09

            L (Longitude of perihelion)     : 66.94686
            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
2026-09-15 00:00 UT   18 48 41.8   -31 48 10     2.720    3.184  108.4   17.4    82   12.4 
2026-09-15 23:32 UT   18 49 01.7   -31 47 55     2.733    3.183  107.5   17.5    82   12.4 
2026-09-16 00:00 UT   18 49 02.1   -31 47 55     2.733    3.183  107.5   17.5    82   12.4 
2026-09-17 00:00 UT   18 49 23.8   -31 47 37     2.746    3.183  106.6   17.6    82   12.4 
2026-09-18 00:00 UT   18 49 46.9   -31 47 16     2.759    3.182  105.7   17.7    83   12.4 
2026-09-19 00:00 UT   18 50 11.3   -31 46 53     2.772    3.182  104.9   17.8    83   12.4 
2026-09-20 00:00 UT   18 50 37.1   -31 46 26     2.785    3.181  104.0   17.8    83   12.4 
2026-09-21 00:00 UT   18 51 04.2   -31 45 58     2.798    3.181  103.1   17.9    83   12.5 
2026-09-22 00:00 UT   18 51 32.6   -31 45 26     2.812    3.180  102.3   18.0    83   12.5 
2026-09-23 00:00 UT   18 52 02.3   -31 44 52     2.825    3.179  101.4   18.0    83   12.5 
2026-09-24 00:00 UT   18 52 33.4   -31 44 16     2.838    3.179  100.6   18.1    83   12.5 
2026-09-25 00:00 UT   18 53 05.6   -31 43 36     2.852    3.178   99.7   18.1    83   12.5 
2026-09-26 00:00 UT   18 53 39.2   -31 42 55     2.865    3.178   98.9   18.2    83   12.5 
2026-09-27 00:00 UT   18 54 14.0   -31 42 11     2.879    3.177   98.0   18.2    83   12.5 
2026-09-28 00:00 UT   18 54 50.0   -31 41 24     2.892    3.177   97.2   18.2    83   12.5 
2026-09-29 00:00 UT   18 55 27.2   -31 40 35     2.906    3.176   96.3   18.3    83   12.5 
2026-09-30 00:00 UT   18 56 05.6   -31 39 43     2.919    3.176   95.5   18.3    84   12.6 
2026-10-01 00:00 UT   18 56 45.2   -31 38 49     2.933    3.175   94.7   18.3    84   12.6 
2026-10-02 00:00 UT   18 57 26.0   -31 37 52     2.946    3.174   93.8   18.3    84   12.6 
2026-10-03 00:00 UT   18 58 07.9   -31 36 53     2.960    3.174   93.0   18.4    84   12.6 
2026-10-04 00:00 UT   18 58 51.0   -31 35 51     2.973    3.173   92.2   18.4    84   12.6 
2026-10-05 00:00 UT   18 59 35.2   -31 34 47     2.987    3.173   91.4   18.4    84   12.6 
2026-10-06 00:00 UT   19 00 20.5   -31 33 40     3.001    3.172   90.6   18.4    84   12.6 
2026-10-07 00:00 UT   19 01 06.9   -31 32 30     3.014    3.172   89.8   18.4    84   12.6 
2026-10-08 00:00 UT   19 01 54.4   -31 31 19     3.028    3.171   89.0   18.4    84   12.6 
2026-10-09 00:00 UT   19 02 43.0   -31 30 04     3.041    3.170   88.2   18.4    84   12.6 
2026-10-10 00:00 UT   19 03 32.6   -31 28 47     3.055    3.170   87.4   18.3    84   12.7 
2026-10-11 00:00 UT   19 04 23.3   -31 27 28     3.068    3.169   86.6   18.3    84   12.7 
2026-10-12 00:00 UT   19 05 15.1   -31 26 06     3.082    3.169   85.8   18.3    84   12.7 
2026-10-13 00:00 UT   19 06 07.8   -31 24 41     3.095    3.168   85.0   18.3    84   12.7 
2026-10-14 00:00 UT   19 07 01.5   -31 23 14     3.109    3.168   84.2   18.3    84   12.7 
2026-10-15 00:00 UT   19 07 56.3   -31 21 45     3.122    3.167   83.4   18.2    84   12.7 

    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.