(69) Hesperia
ephemeris	date	magn	radius	delta	ra	dec	elong	phase
Today	23 Nov 2024	11.0	2.551 AU	1.629 AU	05h37m	+10°35'	153.6°	9.9°
Opposition	11 Dec 2024	10.6	2.533 AU	1.565 AU	05h22m	+09°36'	166.5°	5.2°

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 Hesperia are:

            e (Eccentricity)                : 0.1698281
            a (Semimajor axis)              : 2.9797912
            i (Inclination)                 : 8.58514
            Ω (Longitude of ascending node) : 184.95241
            ω (Argument of perihelion)      : 288.23002
            M (Mean anomaly)                : 325.99883
            Epoch                           : 2024 Oct 17

            L (Longitude of perihelion)     : 113.37513
            B (Latitude of perihelion)      : -8.15123
            P (Orbital period in years)     : 5.14            
        

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
2024-11-23 00:00 UT   05 37 01.8   +10 35 23     1.629    2.551  153.6    9.9   295   11.0 
2024-11-23 08:11 UT   05 36 48.6   +10 33 59     1.627    2.551  153.9    9.8   295   10.9 
2024-11-24 00:00 UT   05 36 22.6   +10 31 20     1.623    2.550  154.5    9.6   296   10.9 
2024-11-25 00:00 UT   05 35 42.2   +10 27 22     1.617    2.549  155.5    9.2   298   10.9 
2024-11-26 00:00 UT   05 35 00.5   +10 23 29     1.612    2.548  156.5    8.9   299   10.9 
2024-11-27 00:00 UT   05 34 17.8   +10 19 42     1.607    2.547  157.4    8.5   301   10.9 
2024-11-28 00:00 UT   05 33 34.0   +10 16 00     1.603    2.546  158.4    8.2   303   10.8 
2024-11-29 00:00 UT   05 32 49.1   +10 12 24     1.598    2.545  159.3    7.9   305   10.8 
2024-11-30 00:00 UT   05 32 03.3   +10 08 54     1.594    2.544  160.2    7.6   307   10.8 
2024-12-01 00:00 UT   05 31 16.6   +10 05 30     1.590    2.543  161.0    7.2   310   10.8 
2024-12-02 00:00 UT   05 30 29.1   +10 02 13     1.586    2.542  161.8    6.9   313   10.8 
2024-12-03 00:00 UT   05 29 40.7   +09 59 02     1.583    2.541  162.6    6.7   316   10.7 
2024-12-04 00:00 UT   05 28 51.7   +09 55 58     1.580    2.540  163.3    6.4   319   10.7 
2024-12-05 00:00 UT   05 28 02.0   +09 53 01     1.577    2.539  164.0    6.1   323   10.7 
2024-12-06 00:00 UT   05 27 11.7   +09 50 12     1.574    2.538  164.6    5.9   326   10.7 
2024-12-07 00:00 UT   05 26 21.0   +09 47 30     1.572    2.537  165.2    5.7   331   10.7 
2024-12-08 00:00 UT   05 25 29.8   +09 44 55     1.570    2.536  165.6    5.5   335   10.7 
2024-12-09 00:00 UT   05 24 38.2   +09 42 28     1.568    2.535  166.0    5.4   340   10.7 
2024-12-10 00:00 UT   05 23 46.3   +09 40 08     1.567    2.534  166.2    5.3   345   10.6 
2024-12-11 00:00 UT   05 22 54.2   +09 37 57     1.565    2.533  166.4    5.2   350   10.6 
2024-12-12 00:00 UT   05 22 02.0   +09 35 54     1.564    2.532  166.5    5.2   355   10.6 
2024-12-13 00:00 UT   05 21 09.7   +09 33 59     1.564    2.531  166.4    5.2     0   10.6 
2024-12-14 00:00 UT   05 20 17.3   +09 32 12     1.563    2.530  166.3    5.3     5   10.6 
2024-12-15 00:00 UT   05 19 25.0   +09 30 33     1.563    2.529  166.0    5.4    10   10.6 
2024-12-16 00:00 UT   05 18 32.8   +09 29 03     1.563    2.529  165.7    5.5    15   10.7 
2024-12-17 00:00 UT   05 17 40.8   +09 27 42     1.564    2.528  165.2    5.7    20   10.7 
2024-12-18 00:00 UT   05 16 49.1   +09 26 29     1.564    2.527  164.7    5.9    24   10.7 
2024-12-19 00:00 UT   05 15 57.7   +09 25 25     1.565    2.526  164.1    6.1    28   10.7 
2024-12-20 00:00 UT   05 15 06.7   +09 24 30     1.566    2.525  163.4    6.4    31   10.7 
2024-12-21 00:00 UT   05 14 16.1   +09 23 43     1.568    2.524  162.7    6.7    35   10.7 
2024-12-22 00:00 UT   05 13 26.0   +09 23 06     1.570    2.523  161.9    7.0    38   10.7 
2024-12-23 00:00 UT   05 12 36.6   +09 22 37     1.572    2.522  161.1    7.3    40   10.7 

    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.