(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	31 Jan 2023	12.2	2.848 AU	2.645 AU	02h47m	+08°22'	91.6°	20.2°
Opposition	6 Feb 2024	11.2	2.984 AU	2.027 AU	09h42m	+31°45'	163.0°	5.5°

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)                : 0.0702948
            a (Semimajor axis)              : 3.0625058
            i (Inclination)                 : 15.20577
            Ω (Longitude of ascending node) : 89.00278
            ω (Argument of perihelion)      : 336.55451
            M (Mean anomaly)                : 1.23595
            Epoch                           : 2023 Feb 25

            L (Longitude of perihelion)     : 66.29355
            B (Latitude of perihelion)      : -5.99015
            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. A more printer-friendly version of the same chart can be found below.

Ephemerides:

Date       Time       RA (2000)    DEC (2000)    delta   radius  elong  phase   PA    magn
2023-01-31 00:00 UT   02 47 53.2   +08 22 10     2.645    2.848   91.6   20.2    72   12.2 
2023-01-31 22:35 UT   02 48 30.2   +08 30 29     2.658    2.848   90.8   20.2    73   12.3 
2023-02-01 00:00 UT   02 48 32.6   +08 30 60     2.658    2.848   90.8   20.2    73   12.3 
2023-02-02 00:00 UT   02 49 13.0   +08 39 51     2.672    2.848   90.0   20.2    73   12.3 
2023-02-03 00:00 UT   02 49 54.6   +08 48 42     2.686    2.848   89.2   20.2    73   12.3 
2023-02-04 00:00 UT   02 50 37.2   +08 57 35     2.699    2.847   88.4   20.2    73   12.3 
2023-02-05 00:00 UT   02 51 20.8   +09 06 28     2.713    2.847   87.6   20.2    73   12.3 
2023-02-06 00:00 UT   02 52 05.4   +09 15 22     2.727    2.847   86.8   20.2    73   12.3 
2023-02-07 00:00 UT   02 52 51.0   +09 24 17     2.741    2.847   86.0   20.2    74   12.3 
2023-02-08 00:00 UT   02 53 37.7   +09 33 12     2.754    2.847   85.2   20.2    74   12.3 
2023-02-09 00:00 UT   02 54 25.3   +09 42 07     2.768    2.847   84.5   20.2    74   12.3 
2023-02-10 00:00 UT   02 55 13.8   +09 51 03     2.782    2.847   83.7   20.1    74   12.3 
2023-02-11 00:00 UT   02 56 03.3   +09 59 58     2.795    2.847   82.9   20.1    74   12.4 
2023-02-12 00:00 UT   02 56 53.8   +10 08 54     2.809    2.847   82.2   20.1    74   12.4 
2023-02-13 00:00 UT   02 57 45.2   +10 17 51     2.822    2.847   81.4   20.0    74   12.4 
2023-02-14 00:00 UT   02 58 37.5   +10 26 47     2.836    2.847   80.6   20.0    74   12.4 
2023-02-15 00:00 UT   02 59 30.7   +10 35 43     2.850    2.847   79.9   20.0    75   12.4 
2023-02-16 00:00 UT   03 00 24.9   +10 44 38     2.863    2.847   79.1   19.9    75   12.4 
2023-02-17 00:00 UT   03 01 19.9   +10 53 34     2.877    2.847   78.4   19.9    75   12.4 
2023-02-18 00:00 UT   03 02 15.8   +11 02 29     2.890    2.847   77.6   19.8    75   12.4 
2023-02-19 00:00 UT   03 03 12.6   +11 11 24     2.904    2.847   76.9   19.8    75   12.4 
2023-02-20 00:00 UT   03 04 10.2   +11 20 19     2.917    2.847   76.2   19.7    75   12.4 
2023-02-21 00:00 UT   03 05 08.6   +11 29 13     2.930    2.847   75.4   19.6    75   12.4 
2023-02-22 00:00 UT   03 06 07.9   +11 38 06     2.944    2.847   74.7   19.6    76   12.5 
2023-02-23 00:00 UT   03 07 08.1   +11 46 59     2.957    2.847   74.0   19.5    76   12.5 
2023-02-24 00:00 UT   03 08 09.0   +11 55 51     2.970    2.847   73.2   19.4    76   12.5 
2023-02-25 00:00 UT   03 09 10.7   +12 04 42     2.984    2.847   72.5   19.4    76   12.5 
2023-02-26 00:00 UT   03 10 13.2   +12 13 32     2.997    2.847   71.8   19.3    76   12.5 
2023-02-27 00:00 UT   03 11 16.5   +12 22 21     3.010    2.847   71.1   19.2    76   12.5 
2023-02-28 00:00 UT   03 12 20.5   +12 31 09     3.023    2.847   70.4   19.1    76   12.5 
2023-03-01 00:00 UT   03 13 25.3   +12 39 56     3.036    2.847   69.7   19.0    77   12.5 
2023-03-02 00:00 UT   03 14 30.8   +12 48 42     3.049    2.847   69.0   19.0    77   12.5 

    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.