(451) Patientia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Opposition	27 Apr 2025	11.6	3.246 AU	2.271 AU	14h44m	+02°13'	162.7°	5.3°
Today	9 May 2025	11.6	3.250 AU	2.287 AU	14h34m	+02°24'	159.1°	6.4°

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)                : 0.0697885
            a (Semimajor axis)              : 3.0636631
            i (Inclination)                 : 15.20648
            Ω (Longitude of ascending node) : 88.99596
            ω (Argument of perihelion)      : 337.10371
            M (Mean anomaly)                : 147.84745
            Epoch                           : 2025 May 05

            L (Longitude of perihelion)     : 66.82247
            B (Latitude of perihelion)      : -5.85728
            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
2025-05-09 00:00 UT   14 34 59.1   +02 24 47     2.287    3.250  159.1    6.4   161   11.6 
2025-05-09 17:40 UT   14 34 24.1   +02 24 54     2.289    3.250  158.6    6.5   159   11.7 
2025-05-10 00:00 UT   14 34 11.6   +02 24 55     2.290    3.250  158.5    6.6   158   11.7 
2025-05-11 00:00 UT   14 33 24.5   +02 24 55     2.293    3.250  157.8    6.8   156   11.7 
2025-05-12 00:00 UT   14 32 37.8   +02 24 46     2.297    3.251  157.0    7.0   153   11.7 
2025-05-13 00:00 UT   14 31 51.5   +02 24 28     2.301    3.251  156.3    7.2   151   11.7 
2025-05-14 00:00 UT   14 31 05.7   +02 24 01     2.305    3.251  155.5    7.4   149   11.7 
2025-05-15 00:00 UT   14 30 20.5   +02 23 26     2.309    3.252  154.7    7.6   147   11.7 
2025-05-16 00:00 UT   14 29 35.8   +02 22 41     2.314    3.252  153.8    7.9   146   11.7 
2025-05-17 00:00 UT   14 28 51.7   +02 21 48     2.319    3.252  153.0    8.1   144   11.8 
2025-05-18 00:00 UT   14 28 08.2   +02 20 46     2.324    3.253  152.1    8.4   142   11.8 
2025-05-19 00:00 UT   14 27 25.4   +02 19 34     2.329    3.253  151.3    8.6   141   11.8 
2025-05-20 00:00 UT   14 26 43.3   +02 18 14     2.335    3.253  150.4    8.8   139   11.8 
2025-05-21 00:00 UT   14 26 01.9   +02 16 45     2.341    3.254  149.5    9.1   138   11.8 
2025-05-22 00:00 UT   14 25 21.2   +02 15 07     2.347    3.254  148.6    9.3   137   11.8 
2025-05-23 00:00 UT   14 24 41.4   +02 13 20     2.354    3.254  147.6    9.6   136   11.9 
2025-05-24 00:00 UT   14 24 02.4   +02 11 24     2.360    3.254  146.7    9.8   135   11.9 
2025-05-25 00:00 UT   14 23 24.3   +02 09 20     2.367    3.255  145.8   10.1   134   11.9 
2025-05-26 00:00 UT   14 22 47.0   +02 07 06     2.374    3.255  144.8   10.3   133   11.9 
2025-05-27 00:00 UT   14 22 10.7   +02 04 44     2.381    3.255  143.9   10.6   132   11.9 
2025-05-28 00:00 UT   14 21 35.3   +02 02 13     2.389    3.256  143.0   10.8   131   11.9 
2025-05-29 00:00 UT   14 21 00.8   +01 59 34     2.397    3.256  142.0   11.0   130   11.9 
2025-05-30 00:00 UT   14 20 27.4   +01 56 46     2.405    3.256  141.1   11.3   129   12.0 
2025-05-31 00:00 UT   14 19 54.9   +01 53 49     2.413    3.256  140.1   11.5   128   12.0 
2025-06-01 00:00 UT   14 19 23.5   +01 50 44     2.421    3.257  139.2   11.7   128   12.0 
2025-06-02 00:00 UT   14 18 53.2   +01 47 31     2.430    3.257  138.2   12.0   127   12.0 
2025-06-03 00:00 UT   14 18 23.9   +01 44 10     2.439    3.257  137.3   12.2   126   12.0 
2025-06-04 00:00 UT   14 17 55.6   +01 40 41     2.448    3.258  136.3   12.4   126   12.0 
2025-06-05 00:00 UT   14 17 28.5   +01 37 04     2.457    3.258  135.4   12.6   125   12.1 
2025-06-06 00:00 UT   14 17 02.5   +01 33 19     2.466    3.258  134.4   12.9   124   12.1 
2025-06-07 00:00 UT   14 16 37.6   +01 29 26     2.476    3.258  133.5   13.1   124   12.1 
2025-06-08 00:00 UT   14 16 13.8   +01 25 26     2.486    3.259  132.5   13.3   123   12.1 

    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.