(40) Harmonia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Opposition	20 Jul 2024	8.9	2.219 AU	1.204 AU	20h07m	-23°32'	176.6°	1.6°
Today	27 Jul 2024	9.0	2.216 AU	1.205 AU	20h00m	-24°06'	172.4°	3.5°

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 Harmonia are:

            e (Eccentricity)                : 0.0461503
            a (Semimajor axis)              : 2.2674426
            i (Inclination)                 : 4.25576
            Ω (Longitude of ascending node) : 94.15589
            ω (Argument of perihelion)      : 269.19368
            M (Mean anomaly)                : 267.71629
            Epoch                           : 2024 Mar 31

            L (Longitude of perihelion)     : 183.34734
            B (Latitude of perihelion)      : -4.25534
            P (Orbital period in years)     : 3.41            
        

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
2024-07-27 00:00 UT   20 00 27.9   -24 06 05     1.205    2.216  172.4    3.5    52    9.0 
2024-07-27 04:06 UT   20 00 17.4   -24 06 55     1.206    2.216  172.2    3.6    52    9.0 
2024-07-28 00:00 UT   19 59 26.2   -24 10 57     1.206    2.215  171.3    4.0    55    9.1 
2024-07-29 00:00 UT   19 58 25.0   -24 15 43     1.208    2.215  170.1    4.5    58    9.1 
2024-07-30 00:00 UT   19 57 24.2   -24 20 23     1.209    2.215  169.0    5.0    60    9.1 
2024-07-31 00:00 UT   19 56 24.1   -24 24 57     1.211    2.214  167.9    5.5    62    9.1 
2024-08-01 00:00 UT   19 55 24.7   -24 29 24     1.213    2.214  166.7    6.1    63    9.2 
2024-08-02 00:00 UT   19 54 26.1   -24 33 43     1.216    2.213  165.5    6.6    65    9.2 
2024-08-03 00:00 UT   19 53 28.4   -24 37 56     1.218    2.213  164.4    7.1    66    9.2 
2024-08-04 00:00 UT   19 52 31.7   -24 42 02     1.221    2.212  163.2    7.6    67    9.3 
2024-08-05 00:00 UT   19 51 36.0   -24 45 60     1.224    2.212  162.1    8.1    68    9.3 
2024-08-06 00:00 UT   19 50 41.5   -24 49 50     1.228    2.211  160.9    8.6    68    9.3 
2024-08-07 00:00 UT   19 49 48.2   -24 53 33     1.231    2.211  159.8    9.1    69    9.3 
2024-08-08 00:00 UT   19 48 56.3   -24 57 08     1.235    2.210  158.6    9.6    70    9.4 
2024-08-09 00:00 UT   19 48 05.7   -25 00 34     1.239    2.210  157.5   10.1    70    9.4 
2024-08-10 00:00 UT   19 47 16.5   -25 03 53     1.243    2.210  156.4   10.6    71    9.4 
2024-08-11 00:00 UT   19 46 28.9   -25 07 04     1.248    2.209  155.2   11.1    71    9.4 
2024-08-12 00:00 UT   19 45 42.9   -25 10 06     1.252    2.209  154.1   11.6    72    9.5 
2024-08-13 00:00 UT   19 44 58.4   -25 13 01     1.257    2.208  153.0   12.0    72    9.5 
2024-08-14 00:00 UT   19 44 15.7   -25 15 47     1.262    2.208  151.8   12.5    73    9.5 
2024-08-15 00:00 UT   19 43 34.7   -25 18 25     1.267    2.207  150.7   13.0    73    9.5 
2024-08-16 00:00 UT   19 42 55.5   -25 20 55     1.273    2.207  149.6   13.4    73    9.6 
2024-08-17 00:00 UT   19 42 18.1   -25 23 17     1.279    2.206  148.5   13.9    74    9.6 
2024-08-18 00:00 UT   19 41 42.6   -25 25 31     1.284    2.206  147.4   14.3    74    9.6 
2024-08-19 00:00 UT   19 41 09.0   -25 27 37     1.291    2.206  146.4   14.7    74    9.6 
2024-08-20 00:00 UT   19 40 37.3   -25 29 36     1.297    2.205  145.3   15.2    74    9.7 
2024-08-21 00:00 UT   19 40 07.5   -25 31 26     1.303    2.205  144.2   15.6    75    9.7 
2024-08-22 00:00 UT   19 39 39.8   -25 33 08     1.310    2.204  143.1   16.0    75    9.7 
2024-08-23 00:00 UT   19 39 14.0   -25 34 43     1.317    2.204  142.1   16.4    75    9.7 
2024-08-24 00:00 UT   19 38 50.3   -25 36 10     1.324    2.203  141.0   16.8    75    9.8 
2024-08-25 00:00 UT   19 38 28.6   -25 37 30     1.331    2.203  140.0   17.2    76    9.8 
2024-08-26 00:00 UT   19 38 09.0   -25 38 42     1.338    2.202  139.0   17.5    76    9.8 

    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.