(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	7 Nov 2026	12.8	3.153 AU	3.421 AU	19h32m	-30°35'	66.2°	16.7°
Opposition	3 Oct 2027	11.1	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)                : 0.0694690
            a (Semimajor axis)              : 3.0645494
            i (Inclination)                 : 15.20536
            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
2026-11-07 00:00 UT   19 32 51.1   -30 35 01     3.421    3.153   66.2   16.7    85   12.8 
2026-11-07 07:34 UT   19 33 14.4   -30 34 12     3.425    3.153   65.9   16.7    85   12.8 
2026-11-08 00:00 UT   19 34 05.1   -30 32 25     3.433    3.153   65.4   16.6    85   12.8 
2026-11-09 00:00 UT   19 35 19.6   -30 29 46     3.445    3.152   64.7   16.5    85   12.8 
2026-11-10 00:00 UT   19 36 34.8   -30 27 05     3.457    3.152   64.0   16.4    85   12.8 
2026-11-11 00:00 UT   19 37 50.6   -30 24 20     3.469    3.151   63.3   16.3    85   12.8 
2026-11-12 00:00 UT   19 39 07.1   -30 21 32     3.481    3.150   62.6   16.2    85   12.8 
2026-11-13 00:00 UT   19 40 24.1   -30 18 41     3.493    3.150   61.9   16.1    85   12.8 
2026-11-14 00:00 UT   19 41 41.6   -30 15 47     3.505    3.149   61.2   16.0    85   12.9 
2026-11-15 00:00 UT   19 42 59.8   -30 12 50     3.517    3.149   60.4   15.9    85   12.9 
2026-11-16 00:00 UT   19 44 18.5   -30 09 50     3.528    3.148   59.7   15.7    85   12.9 
2026-11-17 00:00 UT   19 45 37.7   -30 06 47     3.540    3.147   59.0   15.6    85   12.9 
2026-11-18 00:00 UT   19 46 57.5   -30 03 41     3.551    3.147   58.3   15.5    85   12.9 
2026-11-19 00:00 UT   19 48 17.8   -30 00 32     3.562    3.146   57.6   15.4    85   12.9 
2026-11-20 00:00 UT   19 49 38.5   -29 57 20     3.574    3.146   56.9   15.3    85   12.9 
2026-11-21 00:00 UT   19 50 59.8   -29 54 04     3.585    3.145   56.2   15.1    85   12.9 
2026-11-22 00:00 UT   19 52 21.6   -29 50 46     3.596    3.144   55.6   15.0    85   12.9 
2026-11-23 00:00 UT   19 53 43.8   -29 47 25     3.607    3.144   54.9   14.9    85   12.9 
2026-11-24 00:00 UT   19 55 06.4   -29 43 60     3.617    3.143   54.2   14.8    85   12.9 
2026-11-25 00:00 UT   19 56 29.6   -29 40 32     3.628    3.142   53.5   14.6    85   12.9 
2026-11-26 00:00 UT   19 57 53.1   -29 37 01     3.639    3.142   52.8   14.5    85   12.9 
2026-11-27 00:00 UT   19 59 17.1   -29 33 27     3.649    3.141   52.1   14.4    85   12.9 
2026-11-28 00:00 UT   20 00 41.5   -29 29 50     3.659    3.141   51.4   14.2    85   12.9 
2026-11-29 00:00 UT   20 02 06.3   -29 26 10     3.670    3.140   50.8   14.1    85   12.9 
2026-11-30 00:00 UT   20 03 31.5   -29 22 26     3.680    3.139   50.1   13.9    86   12.9 
2026-12-01 00:00 UT   20 04 57.1   -29 18 40     3.690    3.139   49.4   13.8    86   12.9 
2026-12-02 00:00 UT   20 06 23.1   -29 14 50     3.700    3.138   48.7   13.7    86   12.9 
2026-12-03 00:00 UT   20 07 49.5   -29 10 57     3.710    3.137   48.0   13.5    86   12.9 
2026-12-04 00:00 UT   20 09 16.2   -29 07 00     3.719    3.137   47.4   13.4    86   12.9 
2026-12-05 00:00 UT   20 10 43.4   -29 03 01     3.729    3.136   46.7   13.2    86   12.9 

    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.