(712) Boliviana
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	20 Apr 2024	13.2	3.050 AU	2.106 AU	15h25m	-20°09'	155.8°	7.7°
Opposition	9 May 2024	12.7	3.053 AU	2.043 AU	15h09m	-18°04'	179.0°	0.3°

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 Boliviana are:

            e (Eccentricity)                : 0.1850880
            a (Semimajor axis)              : 2.5768457
            i (Inclination)                 : 12.75638
            Ω (Longitude of ascending node) : 230.68819
            ω (Argument of perihelion)      : 181.58918
            M (Mean anomaly)                : 166.76759
            Epoch                           : 2024 Mar 31

            L (Longitude of perihelion)     : 232.23816
            B (Latitude of perihelion)      : -0.35086
            P (Orbital period in years)     : 4.14            
        

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
2024-04-20 00:00 UT   15 25 48.6   -20 09 50     2.106    3.050  155.8    7.7   287   13.2 
2024-04-20 16:08 UT   15 25 19.1   -20 06 00     2.102    3.050  156.6    7.5   288   13.2 
2024-04-21 00:00 UT   15 25 04.5   -20 04 07     2.100    3.050  157.0    7.4   288   13.2 
2024-04-22 00:00 UT   15 24 19.4   -19 58 17     2.094    3.050  158.2    7.0   288   13.2 
2024-04-23 00:00 UT   15 23 33.5   -19 52 22     2.089    3.051  159.4    6.7   288   13.1 
2024-04-24 00:00 UT   15 22 46.8   -19 46 22     2.084    3.051  160.5    6.3   288   13.1 
2024-04-25 00:00 UT   15 21 59.2   -19 40 16     2.080    3.051  161.7    5.9   288   13.1 
2024-04-26 00:00 UT   15 21 11.0   -19 34 05     2.075    3.051  162.9    5.6   288   13.1 
2024-04-27 00:00 UT   15 20 22.0   -19 27 49     2.071    3.051  164.1    5.2   288   13.1 
2024-04-28 00:00 UT   15 19 32.4   -19 21 29     2.067    3.052  165.3    4.8   289   13.0 
2024-04-29 00:00 UT   15 18 42.2   -19 15 03     2.064    3.052  166.5    4.4   289   13.0 
2024-04-30 00:00 UT   15 17 51.5   -19 08 34     2.060    3.052  167.7    4.0   289   13.0 
2024-05-01 00:00 UT   15 17 00.2   -19 02 00     2.057    3.052  168.9    3.7   289   13.0 
2024-05-02 00:00 UT   15 16 08.5   -18 55 23     2.055    3.052  170.1    3.3   290   12.9 
2024-05-03 00:00 UT   15 15 16.4   -18 48 42     2.052    3.052  171.3    2.9   290   12.9 
2024-05-04 00:00 UT   15 14 24.0   -18 41 58     2.050    3.052  172.4    2.5   290   12.9 
2024-05-05 00:00 UT   15 13 31.3   -18 35 10     2.048    3.053  173.6    2.1   291   12.8 
2024-05-06 00:00 UT   15 12 38.3   -18 28 20     2.047    3.053  174.8    1.7   292   12.8 
2024-05-07 00:00 UT   15 11 45.2   -18 21 28     2.045    3.053  176.0    1.3   293   12.8 
2024-05-08 00:00 UT   15 10 51.9   -18 14 33     2.044    3.053  177.2    0.9   295   12.7 
2024-05-09 00:00 UT   15 09 58.6   -18 07 37     2.044    3.053  178.4    0.5   300   12.7 
2024-05-10 00:00 UT   15 09 05.3   -18 00 39     2.043    3.053  179.5    0.2   333   12.6 
2024-05-11 00:00 UT   15 08 12.1   -17 53 40     2.043    3.053  179.1    0.3    88   12.7 
2024-05-12 00:00 UT   15 07 18.9   -17 46 40     2.043    3.053  177.9    0.7   100   12.7 
2024-05-13 00:00 UT   15 06 26.0   -17 39 39     2.044    3.053  176.7    1.1   103   12.8 
2024-05-14 00:00 UT   15 05 33.2   -17 32 38     2.045    3.053  175.5    1.5   104   12.8 
2024-05-15 00:00 UT   15 04 40.7   -17 25 38     2.046    3.053  174.3    1.9   105   12.8 
2024-05-16 00:00 UT   15 03 48.6   -17 18 38     2.047    3.054  173.1    2.3   106   12.9 
2024-05-17 00:00 UT   15 02 56.8   -17 11 38     2.049    3.054  171.9    2.7   106   12.9 
2024-05-18 00:00 UT   15 02 05.5   -17 04 40     2.051    3.054  170.7    3.1   107   12.9 
2024-05-19 00:00 UT   15 01 14.6   -16 57 43     2.053    3.054  169.5    3.4   107   12.9 
2024-05-20 00:00 UT   15 00 24.3   -16 50 48     2.056    3.054  168.4    3.8   107   13.0 

    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.