(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	6 Oct 2022	11.5	2.870 AU	2.043 AU	03h30m	+01°37'	138.6°	13.3°
Opposition	7 Nov 2022	11.0	2.861 AU	1.896 AU	03h08m	+00°40'	163.7°	5.6°

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)                : 0.0708974
            a (Semimajor axis)              : 3.0646510
            i (Inclination)                 : 15.20085
            Ω (Longitude of ascending node) : 89.02366
            ω (Argument of perihelion)      : 336.31514
            M (Mean anomaly)                : 324.68773
            Epoch                           : 2022 Aug 09

            L (Longitude of perihelion)     : 66.08039
            B (Latitude of perihelion)      : -6.04610
            P (Orbital period in years)     : 5.37            
        

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
2022-10-06 00:00 UT   03 30 53.4   +01 37 15     2.043    2.870  138.6   13.3   276   11.5 
2022-10-06 16:22 UT   03 30 37.8   +01 35 27     2.037    2.870  139.3   13.1   276   11.4 
2022-10-07 00:00 UT   03 30 30.3   +01 34 37     2.034    2.870  139.6   13.0   276   11.4 
2022-10-08 00:00 UT   03 30 05.8   +01 32 00     2.026    2.869  140.6   12.8   277   11.4 
2022-10-09 00:00 UT   03 29 39.9   +01 29 24     2.019    2.869  141.6   12.5   278   11.4 
2022-10-10 00:00 UT   03 29 12.6   +01 26 50     2.011    2.869  142.5   12.2   279   11.4 
2022-10-11 00:00 UT   03 28 43.9   +01 24 17     2.004    2.869  143.5   11.9   280   11.4 
2022-10-12 00:00 UT   03 28 13.9   +01 21 46     1.996    2.868  144.5   11.7   280   11.3 
2022-10-13 00:00 UT   03 27 42.6   +01 19 16     1.990    2.868  145.5   11.4   281   11.3 
2022-10-14 00:00 UT   03 27 10.0   +01 16 49     1.983    2.868  146.4   11.1   282   11.3 
2022-10-15 00:00 UT   03 26 36.0   +01 14 25     1.976    2.867  147.4   10.8   284   11.3 
2022-10-16 00:00 UT   03 26 00.8   +01 12 03     1.970    2.867  148.4   10.5   285   11.3 
2022-10-17 00:00 UT   03 25 24.4   +01 09 44     1.964    2.867  149.3   10.2   286   11.2 
2022-10-18 00:00 UT   03 24 46.7   +01 07 28     1.958    2.866  150.3    9.9   287   11.2 
2022-10-19 00:00 UT   03 24 07.9   +01 05 16     1.953    2.866  151.2    9.6   289   11.2 
2022-10-20 00:00 UT   03 23 27.9   +01 03 08     1.947    2.866  152.1    9.4   290   11.2 
2022-10-21 00:00 UT   03 22 46.8   +01 01 04     1.942    2.865  153.0    9.1   292   11.2 
2022-10-22 00:00 UT   03 22 04.6   +00 59 04     1.937    2.865  153.9    8.8   293   11.2 
2022-10-23 00:00 UT   03 21 21.4   +00 57 09     1.933    2.865  154.8    8.5   295   11.1 
2022-10-24 00:00 UT   03 20 37.2   +00 55 19     1.928    2.865  155.7    8.2   297   11.1 
2022-10-25 00:00 UT   03 19 52.1   +00 53 33     1.924    2.864  156.6    7.9   299   11.1 
2022-10-26 00:00 UT   03 19 06.0   +00 51 54     1.921    2.864  157.4    7.7   301   11.1 
2022-10-27 00:00 UT   03 18 19.1   +00 50 20     1.917    2.864  158.2    7.4   303   11.1 
2022-10-28 00:00 UT   03 17 31.4   +00 48 52     1.914    2.863  158.9    7.2   306   11.1 
2022-10-29 00:00 UT   03 16 42.9   +00 47 30     1.911    2.863  159.7    6.9   309   11.0 
2022-10-30 00:00 UT   03 15 53.7   +00 46 15     1.908    2.863  160.3    6.7   311   11.0 
2022-10-31 00:00 UT   03 15 03.9   +00 45 07     1.906    2.863  161.0    6.5   314   11.0 
2022-11-01 00:00 UT   03 14 13.5   +00 44 06     1.903    2.862  161.6    6.3   318   11.0 
2022-11-02 00:00 UT   03 13 22.5   +00 43 11     1.901    2.862  162.1    6.1   321   11.0 
2022-11-03 00:00 UT   03 12 31.0   +00 42 25     1.900    2.862  162.5    6.0   325   11.0 
2022-11-04 00:00 UT   03 11 39.2   +00 41 46     1.898    2.861  162.9    5.8   329   11.0 
2022-11-05 00:00 UT   03 10 46.9   +00 41 14     1.897    2.861  163.3    5.7   333   11.0 

    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.