(712) Boliviana
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	21 Jul 2025	12.4	2.579 AU	1.643 AU	21h03m	+04°07'	150.9°	11.0°
Opposition	7 Aug 2025	12.2	2.544 AU	1.571 AU	20h48m	+03°52'	159.1°	8.2°

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)                : 0.1850445
            a (Semimajor axis)              : 2.5766148
            i (Inclination)                 : 12.75545
            Ω (Longitude of ascending node) : 230.68401
            ω (Argument of perihelion)      : 181.66799
            M (Mean anomaly)                : 261.97536
            Epoch                           : 2025 May 05

            L (Longitude of perihelion)     : 232.31086
            B (Latitude of perihelion)      : -0.36823
            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
2025-07-21 00:00 UT   21 03 47.4   +04 07 54     1.643    2.579  150.9   11.0   211   12.4 
2025-07-21 07:30 UT   21 03 32.9   +04 08 15     1.641    2.578  151.2   11.0   211   12.4 
2025-07-22 00:00 UT   21 03 00.8   +04 08 57     1.637    2.577  151.7   10.8   210   12.4 
2025-07-23 00:00 UT   21 02 13.2   +04 09 46     1.631    2.575  152.4   10.5   208   12.4 
2025-07-24 00:00 UT   21 01 24.9   +04 10 20     1.626    2.573  153.1   10.3   206   12.3 
2025-07-25 00:00 UT   21 00 35.7   +04 10 41     1.620    2.571  153.8   10.0   204   12.3 
2025-07-26 00:00 UT   20 59 45.8   +04 10 48     1.615    2.569  154.5    9.8   202   12.3 
2025-07-27 00:00 UT   20 58 55.2   +04 10 40     1.610    2.567  155.1    9.6   199   12.3 
2025-07-28 00:00 UT   20 58 04.0   +04 10 19     1.605    2.565  155.7    9.4   197   12.3 
2025-07-29 00:00 UT   20 57 12.3   +04 09 43     1.601    2.563  156.2    9.2   195   12.3 
2025-07-30 00:00 UT   20 56 20.0   +04 08 54     1.597    2.561  156.8    9.0   192   12.2 
2025-07-31 00:00 UT   20 55 27.3   +04 07 50     1.593    2.559  157.2    8.8   189   12.2 
2025-08-01 00:00 UT   20 54 34.2   +04 06 33     1.589    2.557  157.7    8.7   186   12.2 
2025-08-02 00:00 UT   20 53 40.8   +04 05 02     1.586    2.555  158.0    8.5   183   12.2 
2025-08-03 00:00 UT   20 52 47.1   +04 03 17     1.582    2.553  158.4    8.4   180   12.2 
2025-08-04 00:00 UT   20 51 53.2   +04 01 19     1.579    2.551  158.6    8.3   177   12.2 
2025-08-05 00:00 UT   20 50 59.2   +03 59 08     1.577    2.549  158.8    8.3   174   12.2 
2025-08-06 00:00 UT   20 50 05.1   +03 56 43     1.574    2.547  159.0    8.2   171   12.2 
2025-08-07 00:00 UT   20 49 11.0   +03 54 05     1.572    2.545  159.1    8.2   168   12.2 
2025-08-08 00:00 UT   20 48 16.9   +03 51 14     1.570    2.543  159.1    8.2   164   12.2 
2025-08-09 00:00 UT   20 47 22.9   +03 48 11     1.568    2.541  159.1    8.2   161   12.2 
2025-08-10 00:00 UT   20 46 29.1   +03 44 55     1.567    2.539  159.0    8.2   158   12.2 
2025-08-11 00:00 UT   20 45 35.6   +03 41 27     1.565    2.537  158.8    8.3   154   12.2 
2025-08-12 00:00 UT   20 44 42.3   +03 37 47     1.564    2.535  158.6    8.4   151   12.2 
2025-08-13 00:00 UT   20 43 49.4   +03 33 55     1.564    2.533  158.4    8.5   148   12.2 
2025-08-14 00:00 UT   20 42 56.9   +03 29 51     1.563    2.531  158.0    8.6   145   12.2 
2025-08-15 00:00 UT   20 42 04.8   +03 25 36     1.563    2.529  157.6    8.8   142   12.2 
2025-08-16 00:00 UT   20 41 13.3   +03 21 11     1.563    2.527  157.2    8.9   139   12.2 
2025-08-17 00:00 UT   20 40 22.4   +03 16 34     1.563    2.525  156.7    9.1   137   12.2 
2025-08-18 00:00 UT   20 39 32.2   +03 11 47     1.563    2.523  156.2    9.3   134   12.2 
2025-08-19 00:00 UT   20 38 42.7   +03 06 51     1.564    2.521  155.6    9.5   131   12.2 
2025-08-20 00:00 UT   20 37 54.0   +03 01 44     1.565    2.519  155.0    9.8   129   12.2 

    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.