Orbital Analysis for matched events on 20210810_031011.059_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 56.73° Bg 37.96° Vg 57.79km/s
mass 0.01368g, abs. mag -0.0
Path Details
------------
start -2.03° 49.40° 107.52km
end   -2.08° 49.38° 96.80km

Orbit Details
-------------
Semimajor axis 4.58A.U., eccentricity 0.79, inclination 113.66°, Period 9.81Y, LA Sun 137.44°, last Perihelion 2021-07-23

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.632072444540
Time: 2021-08-10 03:10:11.059208 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 13.18110 deg
 R.A. =  41.32530  Dec = +56.70465 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 13.18 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4216728.57 +/- 209.25 m
 Y =    319954.42 +/- 40.00 m
 Z =   4901279.26 +/- 48.39 m
 Vx =    25390.15 +/- 1783.00 m/s
 Vy =    21157.98 +/- 314.18 m/s
 Vz =    48692.07 +/- 1055.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.525200e+04, +5.907655e+03, -6.127553e+03, +2.886666e+05, +2.877990e+04, -5.860546e+04
+5.907655e+03, +1.560664e+03, -2.513867e+02, +2.785844e+04, +6.429252e+03, -6.822049e+03
-6.127553e+03, -2.513867e+02, +2.357390e+03, -5.081900e+04, -5.352419e+03, +1.083833e+04
+2.886666e+05, +2.785844e+04, -5.081900e+04, +3.147937e+06, +2.622715e+05, -6.811922e+05
+2.877990e+04, +6.429252e+03, -5.352419e+03, +2.622715e+05, +5.078366e+04, -6.780712e+04
-5.860546e+04, -6.822049e+03, +1.083833e+04, -6.811922e+05, -6.780712e+04, +1.534410e+05

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: 0.000000 s
    UK0038: 0.000132 s

Reference point on the trajectory:
  Time: 2021-08-10 03:10:11.059208 UTC
  Lon     = +-2.030311 +/- 0.0004 deg
  Lat     = +49.399294 +/- 0.0016 deg
  Lat geo = +49.212201 +/- 0.0016 deg
  Ht      =  107560.50 +/- 119.66 m

  JD dynamic   = 2459436.632873185445 
  LST apparent = 4.3391404400 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.80493 +/- 2.0689 deg
  Dec       = +55.83288 +/- 1.3482 deg
  Azimuth   =  59.60150 +/- 3.0781 deg
  Elevation = +67.80309 +/- 1.1767 deg
  Vavg      =  59.10863 +/- 0.4018 km/s
  Vinit     =  58.84928 +/- 0.3979 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  40.23798 +/- 2.0689 deg
  Dec       = +55.68823 +/- 1.3482 deg
  Azimuth   =  59.99887 +/- 3.0781 deg
  Elevation = +67.56325 +/- 1.1767 deg
  Vavg      =  59.20984 +/- 0.4018 km/s
  Vinit     =  58.95048 +/- 0.3979 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.77806 +/- 2.1010 deg
  Dec    = +55.74825 +/- 1.3564 deg
  Vg     =  57.79353 +/- 0.4053 km/s
  Vinf   =  58.84928 +/- 0.3979 km/s
  Zc     =  22.29214 +/- 1.1846 deg
  Zg     =  22.49649 +/- 1.1993 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.72675 +/- 1.9737 deg
  Bg     = +37.96219 +/- 0.8594 deg
  Vh     =  39.45379 +/- 0.2897 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  71.84990 +/- 5.9492 deg
  Bh     = +64.30461 +/- 0.5573 deg
  Vh_x   =  -5.32884 +/- 1.7303 km/s
  Vh_y   = -16.25547 +/- 0.1284 km/s
  Vh_z   = -35.55228 +/- 0.4114 km/s
Orbit:
  La Sun = 137.435848 +/- -0.0000 deg
  a      =   4.581359 +/- 0.9258 AU
  e      =   0.786798 +/- 0.0271
  i      = 113.660361 +/- 1.8223 deg
  peri   = 156.514672 +/- 3.5123 deg
  node   = 137.436141 +/- 0.0001 deg
  Pi     = 293.950812 +/- 3.5122 deg
  q      =   0.976755 +/- 0.0152 AU
  f      =  23.481833 +/- 3.5124 deg
  M      =   1.773062 +/- 0.2506 deg
  Q      =   8.185964 +/- 1.8648 AU
  n      =   0.100511 +/- 0.0161 deg/day
  T      =   9.806007 +/- 3.4538 years
  Last perihelion JD = 2459418.992352 (2021-07-23 11:48:59.232512) +/- 2.1257 days
  Tj     =   0.671167 +/- 0.1033
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.488817e-04, -3.938289e-04, -5.203096e-02, +5.436992e-08, -1.545243e-03, -8.582218e-04
q   , -3.938289e-04, +2.396685e-04, +3.341974e-02, -3.116482e-08, +9.689417e-04, +4.902015e-04
Tp  , -5.203096e-02, +3.341974e-02, +4.812201e+00, -4.316675e-06, +1.377778e-01, +6.772176e-02
node, +5.436992e-08, -3.116482e-08, -4.316675e-06, +4.229822e-12, -1.256851e-07, -6.655145e-08
peri, -1.545243e-03, +9.689417e-04, +1.377778e-01, -1.256851e-07, +3.964336e-03, +1.973824e-03
i   , -8.582218e-04, +4.902015e-04, +6.772176e-02, -6.655145e-08, +1.973824e-03, +1.047336e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 15.958046
 a2 = 0.836662

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 8.191e-06 s
  Stddev    = 2.86e-03 s

Begin point on the trajectory:
  Lon =    -2.030337 +/- 0.0003 deg
  Lat =    49.399286 +/- 0.0016 deg
  Ht  = 107524.79 +/- 109.23 m
End point on the trajectory:
  Lon =    -2.082389 +/- 0.0002 deg
  Lat =    49.379662 +/- 0.0018 deg
  Ht  = 96795.96 +/- 109.28 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107524.79,    96795.96,          0.013950,     43.30,     19.36,              73.43, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_031002_042_0616704.fits"}
    UK002D,    True,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   103300.05,    96891.24,          0.203503,       nan,       nan,              79.36, 0.0000,    True,    True, {"ff_name": "FF_UK002D_20210810_031001_400_0616448.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,  27.338220,   0.000000,   106465.20,    97322.31,          0.010046,     34.12,     26.01,              76.27, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_031002_445_0612608.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK000H,       0,  0.000000, 2459436.632072444540, 359.13709,  -6.52823,              186.42313,  32.42137,       186.43858,       32.42579,    359.13709,      -6.52823,     359.12431,       -6.52289,  4216726.08,   319952.35,  4901274.48,      49.399286,       -2.030337,  107524.79,  196564.40,       0.00,                5.77,   233.51,      0.00,           57486.69,    -19.30,    -43.12,          49.57,  +3.27,  +1.80
  1,     UK000H,       0,  0.040472, 2459436.632072912995, 358.88887,  -7.02154,              186.67130,  31.91149,       186.65042,       31.90552,    358.88887,      -7.02154,     358.90640,       -7.02880,  4215868.41,   319237.63,  4899629.67,      49.395924,       -2.039284,  105683.24,  195919.93,    1987.92,             1993.69,  -160.32,  49118.37,           57486.69,     26.08,     58.39,          67.32,  +1.56,  +0.10
  2,     UK000H,       0,  0.081080, 2459436.632073382847, 358.61728,  -7.67606,              186.92867,  31.23853,       186.91836,       31.23559,    358.61728,      -7.67606,     358.62625,       -7.67967,  4214772.85,   318324.69,  4897528.66,      49.391627,       -2.050672,  103331.31,  195123.01,    4527.21,             4532.98,   -10.78,  62531.76,           57486.69,     12.91,     28.90,          33.45,  +1.16,  -0.29
  3,     UK000H,       0,  0.121656, 2459436.632073852699, 358.35469,  -8.29747,              187.17417,  30.59868,       187.17008,       30.59751,    358.35469,      -8.29747,     358.35865,       -8.29891,  4213738.32,   317462.60,  4895544.68,      49.387565,       -2.061442,  101110.44,  194398.09,    6925.04,             6930.81,    -0.81,  59094.93,           57486.69,      5.13,     11.48,          13.34,  +1.07,  -0.37
  4,     UK000H,       0,  0.162228, 2459436.632074322086, 358.10352,  -8.92619,              187.40182,  29.95191,       187.41931,       29.95690,    358.10352,      -8.92619,     358.08933,       -8.91997,  4212708.01,   316604.03,  4893568.81,      49.383515,       -2.072173,   98898.76,  193703.04,    9313.08,             9318.85,    -0.40,  58859.33,           58090.26,    -22.02,    -49.24,          57.43,  +0.72,  -0.72
  5,     UK000H,       0,  0.202780, 2459436.632074791472, 357.84506,  -9.52081,              187.63707,  29.33802,       187.65512,       29.34317,    357.84506,      -9.52081,     357.83046,       -9.51435,  4211728.40,   315787.71,  4891690.16,      49.379662,       -2.082389,   96795.96,  193067.42,   11583.62,            11589.39,  -116.32,  55990.68,           57962.78,    -22.77,    -50.91,          59.57,  +1.89,  +0.46
  0,     UK002D,       1, -2.527146, 2459436.632043194957,   0.09297, -14.37631,              184.75097,  24.15591,       184.53327,       24.08929,      0.09297,     -14.37631,       0.28369,      -14.45321,  4214743.20,   318299.98,  4897471.80,      49.391509,       -2.040079,  103300.05,  243430.82,       0.00,             4601.69, 153550.16,     -0.00,           57896.36,    418.86,    785.66,         754.41,  +2.90,  +0.97
  1,     UK002D,       1, -2.486810, 2459436.632043662015, 359.93086, -14.76681,              184.89921,  23.75747,       184.68218,       23.69109,    359.93086,     -14.76681,       0.12197,      -14.84382,  4213956.83,   317644.69,  4895963.74,      49.388422,       -2.048304,  101612.68,  243050.00,    1822.65,             6424.34, 152999.06,  45186.62,           57896.36,    418.02,    784.15,         754.12,  +1.92,  -0.01
  2,     UK002D,       1, -2.446314, 2459436.632044130936, 359.72438, -15.34512,              185.08076,  23.16886,       184.89555,       23.11225,    359.72438,     -15.34512,     359.88721,      -15.41124,  4212818.43,   316696.04,  4893780.56,      49.383948,       -2.060142,   99170.05,  242521.60,    4461.23,             9062.92, 153254.48,  65156.68,           57896.36,    357.70,    670.19,         646.10,  +1.71,  -0.21
  3,     UK002D,       1, -2.405870, 2459436.632044598926, 359.46954, -15.86362,              185.31368,  22.63684,       185.09397,       22.56971,    359.46954,     -15.86362,     359.66592,      -15.94258,  4211756.32,   315810.97,  4891743.71,      49.379771,       -2.071203,   96891.24,  242053.64,    6922.98,            11524.67, 153336.13,  60868.07,           57896.36,    424.49,    796.56,         769.15,  +2.22,  +0.30
  0,     UK0038,       0,  0.028153, 2459436.632072767708,  10.09981, -13.79033,              173.47082,  24.63103,       173.48164,       24.63482,     10.09981,     -13.79033,      10.08954,      -13.78727,  4216232.65,   319541.16,  4900328.20,      49.397352,       -2.035503,  106465.20,  245823.25,       0.00,             1149.44,  -279.57,      0.00,           60546.69,    -27.43,    -35.97,          37.95,  +2.58,  +0.63
  1,     UK0038,       0,  0.068581, 2459436.632073235698,   9.91299, -14.36466,              173.71450,  24.07120,       173.72109,       24.07350,      9.91299,     -14.36466,       9.90691,      -14.36279,  4215077.83,   318578.84,  4898113.54,      49.392823,       -2.047496,  103986.06,  245095.27,    2676.64,             3826.08,    17.91,  66207.65,           60546.69,    -16.70,    -21.91,          23.18,  +1.61,  -0.34
  2,     UK0038,       0,  0.108985, 2459436.632073703222,   9.75117, -14.90610,              173.92632,  23.54194,       173.94347,       23.54793,      9.75117,     -14.90610,       9.73498,      -14.90121,  4214003.27,   317683.39,  4896052.80,      49.388605,       -2.058672,  101679.28,  244442.24,    5167.26,             6316.70,   130.78,  61642.72,           60546.69,    -43.51,    -57.06,          60.54,  +1.76,  -0.18
  3,     UK0038,       0,  0.149329, 2459436.632074170280,   9.59049, -15.37115,              174.12892,  23.08839,       174.13577,       23.09078,      9.59049,     -15.37115,       9.58443,      -15.36918,  4213073.68,   316908.75,  4894270.07,      49.384953,       -2.068369,   99683.67,  243896.29,    7321.86,             8471.30,   -88.83,  53405.85,           60546.69,    -17.39,    -22.82,          24.27,  +1.40,  -0.54
  4,     UK0038,       0,  0.189737, 2459436.632074638270,   9.39940, -15.92408,              174.36712,  22.54859,       174.36218,       22.54686,      9.39940,     -15.92408,       9.40504,      -15.92551,  4211973.58,   315992.01,  4892160.34,      49.380627,       -2.079819,   97322.31,  243273.63,    9871.68,            11021.12,    83.01,  63101.92,           60381.02,     12.55,     16.47,          17.55,  +1.50,  -0.43

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.