(154) Bertha
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	24 Apr 2024	14.0	3.318 AU	4.083 AU	04h16m	+33°03'	35.7°	10.2°
Opposition	26 Jan 2025	12.5	3.122 AU	2.231 AU	09h22m	+47°13'	149.8°	9.1°

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 Bertha are:

            e (Eccentricity)                : 0.0765942
            a (Semimajor axis)              : 3.1976510
            i (Inclination)                 : 21.02808
            Ω (Longitude of ascending node) : 36.51222
            ω (Argument of perihelion)      : 166.81073
            M (Mean anomaly)                : 240.13373
            Epoch                           : 2024 Mar 31

            L (Longitude of perihelion)     : 24.17348
            B (Latitude of perihelion)      : 4.69622
            P (Orbital period in years)     : 5.72            
        

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
2024-04-24 00:00 UT   04 16 02.3   +33 03 23     4.083    3.318   35.7   10.2    63   14.0 
2024-04-24 04:08 UT   04 16 17.6   +33 04 04     4.084    3.318   35.6   10.2    63   14.0 
2024-04-25 00:00 UT   04 17 31.2   +33 07 24     4.090    3.318   35.1   10.0    63   14.0 
2024-04-26 00:00 UT   04 19 00.5   +33 11 25     4.097    3.317   34.5    9.9    63   14.0 
2024-04-27 00:00 UT   04 20 30.2   +33 15 25     4.104    3.317   33.9    9.7    62   14.0 
2024-04-28 00:00 UT   04 22 00.3   +33 19 23     4.111    3.316   33.3    9.6    62   14.0 
2024-04-29 00:00 UT   04 23 30.8   +33 23 21     4.118    3.315   32.7    9.4    62   14.0 
2024-04-30 00:00 UT   04 25 01.7   +33 27 17     4.124    3.315   32.1    9.3    61   14.0 
2024-05-01 00:00 UT   04 26 32.9   +33 31 11     4.131    3.314   31.5    9.1    61   14.0 
2024-05-02 00:00 UT   04 28 04.6   +33 35 05     4.137    3.313   30.9    9.0    61   14.0 
2024-05-03 00:00 UT   04 29 36.6   +33 38 57     4.143    3.313   30.4    8.8    60   14.0 
2024-05-04 00:00 UT   04 31 09.0   +33 42 47     4.149    3.312   29.8    8.7    60   14.0 
2024-05-05 00:00 UT   04 32 41.7   +33 46 37     4.155    3.312   29.2    8.5    60   14.0 
2024-05-06 00:00 UT   04 34 14.8   +33 50 24     4.161    3.311   28.6    8.4    59   14.0 
2024-05-07 00:00 UT   04 35 48.3   +33 54 10     4.166    3.310   28.1    8.2    59   14.0 
2024-05-08 00:00 UT   04 37 22.1   +33 57 55     4.172    3.310   27.5    8.1    58   13.9 
2024-05-09 00:00 UT   04 38 56.3   +34 01 38     4.177    3.309   27.0    7.9    58   13.9 
2024-05-10 00:00 UT   04 40 30.7   +34 05 19     4.182    3.308   26.4    7.8    57   13.9 
2024-05-11 00:00 UT   04 42 05.5   +34 08 59     4.187    3.308   25.9    7.7    57   13.9 
2024-05-12 00:00 UT   04 43 40.7   +34 12 36     4.192    3.307   25.3    7.5    56   13.9 
2024-05-13 00:00 UT   04 45 16.1   +34 16 13     4.197    3.306   24.8    7.4    55   13.9 
2024-05-14 00:00 UT   04 46 51.9   +34 19 47     4.201    3.306   24.2    7.2    55   13.9 
2024-05-15 00:00 UT   04 48 27.9   +34 23 19     4.206    3.305   23.7    7.1    54   13.9 
2024-05-16 00:00 UT   04 50 04.2   +34 26 49     4.210    3.305   23.2    6.9    54   13.9 
2024-05-17 00:00 UT   04 51 40.9   +34 30 18     4.214    3.304   22.7    6.8    53   13.9 
2024-05-18 00:00 UT   04 53 17.8   +34 33 44     4.218    3.303   22.2    6.6    52   13.9 
2024-05-19 00:00 UT   04 54 55.0   +34 37 09     4.222    3.303   21.6    6.5    51   13.9 

    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.