Orbital Analysis for matched events on 20210816_011620.218_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.64° Bg 37.34° Vg 56.94km/s
mass 0.00977g, abs. mag -0.0
Path Details
------------
start 0.44° 52.55° 108.65km
end   0.34° 52.50° 97.27km

Orbit Details
-------------
Semimajor axis 3.69A.U., eccentricity 0.75, inclination 112.93°, Period 7.08Y, LA Sun 143.12°, last Perihelion 2021-07-20

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: 2459442.553011783399
Time: 2021-08-16 01:16:20.218086 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 70.67737 deg
 R.A. =  53.48491  Dec = +57.56893 deg
Intersection 2 - Stations: UK002F and UK003A
 Convergence angle = 29.63939 deg
 R.A. =  51.97561  Dec = +58.19459 deg
Intersection 3 - Stations: UK002K and UK003A
 Convergence angle = 79.68752 deg
 R.A. =  52.68303  Dec = +57.29462 deg

Best intersection: Stations UK002K and UK003A with Qconv = 79.69 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3802807.19 +/- 88.77 m
 Y =  -1077375.46 +/- 176.76 m
 Z =   5126254.60 +/- 265.36 m
 Vx =    18269.79 +/- 569.74 m/s
 Vy =    24639.87 +/- 593.09 m/s
 Vz =    49242.82 +/- 790.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.422940e+03, +1.285852e+04, +1.795387e+04, +1.285395e+04, +2.646263e+04, +1.084587e+04
+1.285852e+04, +3.256884e+04, +4.845672e+04, -9.237303e+02, +7.611472e+04, +6.332691e+04
+1.795387e+04, +4.845672e+04, +7.675600e+04, -2.211774e+04, +9.239317e+04, +8.544137e+04
+1.285395e+04, -9.237303e+02, -2.211774e+04, +1.415452e+05, +8.154699e+04, +8.887045e+03
+2.646263e+04, +7.611472e+04, +9.239317e+04, +8.154699e+04, +3.306747e+05, +2.729535e+05
+1.084587e+04, +6.332691e+04, +8.544137e+04, +8.887045e+03, +2.729535e+05, +2.787739e+05

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -0.001297 s
    UK003A: -0.000191 s

Reference point on the trajectory:
  Time: 2021-08-16 01:16:20.218086 UTC
  Lon     = ++0.438534 +/- 0.0027 deg
  Lat     = +52.549657 +/- 0.0014 deg
  Lat geo = +52.366827 +/- 0.0014 deg
  Ht      =  108317.98 +/- 222.09 m

  JD dynamic   = 2459442.553812524304 
  LST apparent = 344.1820135826 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.44408 +/- 0.6385 deg
  Dec       = +58.08049 +/- 0.3326 deg
  Azimuth   =  53.37974 +/- 0.5596 deg
  Elevation = +51.96945 +/- 0.3208 deg
  Vavg      =  57.77865 +/- 0.6268 km/s
  Vinit     =  58.01520 +/- 0.7219 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.63305 +/- 0.6385 deg
  Dec       = +57.85495 +/- 0.3326 deg
  Azimuth   =  53.65356 +/- 0.5596 deg
  Elevation = +51.78962 +/- 0.3208 deg
  Vavg      =  57.92170 +/- 0.6268 km/s
  Vinit     =  58.15826 +/- 0.7219 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.65504 +/- 0.6312 deg
  Dec    = +57.86730 +/- 0.3330 deg
  Vg     =  56.94393 +/- 0.7351 km/s
  Vinf   =  58.01520 +/- 0.7219 km/s
  Zc     =  38.13985 +/- 0.3210 deg
  Zg     =  38.50900 +/- 0.3163 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.64189 +/- 0.4398 deg
  Bg     = +37.34038 +/- 0.3187 deg
  Vh     =  38.87864 +/- 0.5867 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.17801 +/- 1.0901 deg
  Bh     = +62.67147 +/- 0.7910 deg
  Vh_x   =  -0.56749 +/- 0.3567 km/s
  Vh_y   = -17.83985 +/- 0.7431 km/s
  Vh_z   = -34.53935 +/- 0.2972 km/s
Orbit:
  La Sun = 143.121157 +/- nan deg
  a      =   3.688396 +/- 1.3393 AU
  e      =   0.747795 +/- 0.0487
  i      = 112.929180 +/- 0.8556 deg
  peri   = 144.066838 +/- 0.8685 deg
  node   = 143.120894 +/- 0.0001 deg
  Pi     = 287.187732 +/- 0.8685 deg
  q      =   0.930230 +/- 0.0033 AU
  f      =  35.929471 +/- 0.8686 deg
  M      =   3.646603 +/- 0.9731 deg
  Q      =   6.446562 +/- 2.6791 AU
  n      =   0.139139 +/- 0.0352 deg/day
  T      =   7.083649 +/- 4.6255 years
  Last perihelion JD = 2459416.345399 (2021-07-20 20:17:22.441513) +/- 0.8352 days
  Tj     =   0.975470 +/- 0.2909
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.331853e-03, -3.336097e-05, +3.338397e-02, -3.745986e-08, +3.914315e-04, +5.280713e-04
q   , -3.336097e-05, +1.288748e-05, +1.193401e-03, -1.373029e-09, +4.173367e-05, +1.959541e-05
Tp  , +3.338397e-02, +1.193401e-03, +7.037381e-01, -7.849894e-07, +1.199060e-02, +1.109870e-02
node, -3.745986e-08, -1.373029e-09, -7.849894e-07, +1.079735e-12, -1.343218e-08, -1.525678e-08
peri, +3.914315e-04, +4.173367e-05, +1.199060e-02, -1.343218e-08, +2.464633e-04, +1.902742e-04
i   , +5.280713e-04, +1.959541e-05, +1.109870e-02, -1.525678e-08, +1.902742e-04, +2.155890e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 19.977787
 a2 = 8.778610

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 1.894e-05 s
  Stddev    = 4.35e-03 s

Begin point on the trajectory:
  Lon =     0.441512 +/- 0.0022 deg
  Lat =    52.551006 +/- 0.0011 deg
  Ht  = 108645.26 +/- 138.84 m
End point on the trajectory:
  Lon =     0.336896 +/- 0.0014 deg
  Lat =    52.503977 +/- 0.0006 deg
  Ht  = 97272.34 +/- 81.26 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,  43.776737,   1.997440,   108645.26,    97272.34,          0.013509,     26.52,     31.28,              13.75, 0.0565,    True,    True, {"ff_name": "FF_UK002F_20210816_011612_042_0462080.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.275554,  37.826753,   106387.84,    99464.90,          0.012430,     32.45,     13.49,              64.06, 0.8086,    True,    True, {"ff_name": "FF_UK002K_20210816_011613_395_0461056.fits"}
    UK003A,   False,    -2.395630,    52.113500,   85.00,   7.631379,   0.000000,   105767.17,   100176.81,          0.014026,     10.68,     53.97,              28.20, 0.2233,    True,    True, {"ff_name": "FF_UK003A_20210816_011617_304_0457984.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,     UK002F,       0,  0.000000, 2459442.553011783399,  69.87202,  47.51642,               57.40333,  36.78877,        57.42051,       36.79206,     69.87202,     +47.51642,      69.85527,      +47.50793,  3802938.03, -1077198.99,  5126607.27,      52.551006,       +0.441512,  108645.26,  178636.99,       0.00,              415.49,   236.90,      0.00,           61706.77,    -33.60,     28.56,          50.92,  +3.41,  +2.15
  1,     UK002F,       0,  0.040168, 2459442.553012248129,  70.01993,  47.32903,               57.50328,  36.59203,        57.47988,       36.58750,     70.01993,     +47.32903,      70.04298,      +47.34056,  3802112.82, -1078311.93,  5124383.06,      52.542494,       +0.422560,  106581.29,  176092.55,    2620.44,             2204.95,  -303.99,  65237.06,           61706.77,     45.33,    -38.37,          69.57,  +1.87,  +0.64
  2,     UK002F,       0,  0.080348, 2459442.553012713324,  70.20836,  47.16235,               57.56026,  36.38698,        57.53891,       36.38285,     70.20836,     +47.16235,      70.22959,      +47.17287,  3801310.32, -1079394.24,  5122220.07,      52.534208,       +0.404120,  104574.51,  173620.25,    5168.75,             4753.26,   -86.73,  63422.31,           61706.77,     40.87,    -34.61,          63.63,  +1.66,  +0.46
  3,     UK002F,       0,  0.120508, 2459442.553013178054,  70.38287,  47.01421,               57.60604,  36.20069,        57.59174,       36.19794,     70.38287,     +47.01421,      70.39737,      +47.02125,  3800603.53, -1080347.47,  5120315.03,      52.526903,       +0.387855,  102807.34,  171443.83,    7413.16,             6997.67,  -172.21,  55886.78,           61706.77,     27.08,    -22.95,          42.71,  +1.48,  +0.31
  4,     UK002F,       0,  0.160692, 2459442.553013643250,  70.60147,  46.85808,               57.63425,  35.98589,        57.65127,       35.98915,     70.60147,     +46.85808,      70.58548,      +46.84968,  3799827.33, -1081394.30,  5118222.95,      52.518874,       +0.370006,  100866.99,  169056.70,    9877.95,             9462.46,   -38.71,  61337.44,           61108.20,    -31.81,     27.06,          50.96,  +1.21,  +0.07
  5,     UK002F,       0,  0.200872, 2459442.553014108445,  70.76950,  46.66784,               57.72096,  35.77494,        57.71248,       35.77331,     70.76950,     +46.66784,      70.77865,      +46.67201,  3799047.45, -1082446.10,  5116120.92,      52.510800,       +0.352069,   98917.76,  166660.71,   12354.44,            11938.95,   106.73,  61634.86,           61012.46,     15.66,    -13.29,          25.43,  +1.60,  +0.49
  6,     UK002F,       0,  0.241036, 2459442.553014573175,  70.94310,  46.51770,               57.76586,  35.58667,        57.76489,       35.58649,     70.94310,     +46.51770,      70.94506,      +46.51818,  3798389.02, -1083334.11,  5114346.24,      52.503977,       +0.336896,   97272.34,  164638.58,   14445.27,            14029.79,  -132.56,  52057.54,           60019.06,      1.78,     -1.51,           2.92,  +3.50,  +2.42
  0,     UK002K,       0,  0.039134, 2459442.553012546152,   3.29677,   6.23389,              153.74053,  39.99393,       153.74879,       39.99964,      3.29677,      +6.23389,       3.28938,       +6.23773,  3802035.47, -1078416.26,  5124174.56,      52.541696,       +0.420691,  106387.84,  163574.30,       0.00,             2450.59,     1.66,      0.00,           56046.02,     -9.35,    -22.49,          30.70,  +3.20,  +2.13
  1,     UK002K,       0,  0.079470, 2459442.553013013210,   2.90670,   5.45524,              154.49101,  39.34342,       154.50557,       39.35339,      2.90670,      +5.45524,       2.89364,       +5.46198,  3801177.32, -1079573.61,  5121861.59,      52.532834,       +0.400983,  104241.96,  162420.23,    2725.02,             5175.61,   386.57,  67558.01,           56046.02,    -16.36,    -39.37,          54.14,  +1.14,  +0.09
  2,     UK002K,       0,  0.119650, 2459442.553013478406,   2.69502,   5.03376,              154.89259,  38.98966,       154.91123,       39.00238,      2.69502,      +5.03376,       2.67833,       +5.04240,  3800718.20, -1080192.81,  5120624.11,      52.528089,       +0.390359,  103094.02,  161816.61,    4182.95,             6633.54,  -486.55,  36284.96,           56046.02,    -20.90,    -50.27,          69.39,  +0.88,  -0.17
  3,     UK002K,       0,  0.159998, 2459442.553013944998,   2.26207,   4.20829,              155.69107,  38.29779,       155.69792,       38.30243,      2.26207,      +4.20829,       2.25649,       +4.21147,  3799819.14, -1081405.35,  5118200.86,      52.518790,       +0.369710,  100846.50,  160670.09,    7037.90,             9488.48,    27.60,  70758.09,           56046.02,     -7.64,    -18.39,          25.56,  +2.24,  +1.21
  4,     UK002K,       0,  0.200206, 2459442.553014410660,   1.98580,   3.69791,              156.18824,  37.86963,       156.18132,       37.86496,      1.98580,      +3.69791,       1.99319,       +3.69470,  3799266.38, -1082150.83,  5116711.01,      52.513067,       +0.356948,   99464.90,  159985.12,    8793.15,            11243.74,  -549.82,  43654.41,           54387.75,      7.69,     18.54,          25.87,  +3.07,  +2.05
  0,     UK003A,       0,  0.054425, 2459442.553012712393,  64.88967,  30.05641,               74.98186,  27.06955,        75.00654,       27.08265,     64.88967,     +30.05641,      64.86114,      +30.05089,  3801787.28, -1078750.99,  5123505.61,      52.539133,       +0.414980,  105767.17,  225314.15,       0.00,             3238.71,   -97.33,      0.00,           60647.65,    -98.72,     19.55,          92.12,  +3.93,  +2.17
  1,     UK003A,       0,  0.094625, 2459442.553013177589,  64.91653,  29.79756,               75.16167,  26.86494,        75.15482,       26.86131,     64.91653,     +29.79756,      64.92504,      +29.79908,  3801132.57, -1079633.96,  5121740.98,      52.532371,       +0.399904,  104130.06,  223490.20,    2078.99,             5317.70,  -350.56,  51716.05,           60647.65,     27.21,     -5.36,          25.60,  +1.56,  -0.19
  2,     UK003A,       0,  0.134949, 2459442.553013644647,  65.01131,  29.41217,               75.38898,  26.52720,        75.38030,       26.52260,     65.01131,     +29.41217,      65.02210,      +29.41410,  3800153.78, -1080954.03,  5119102.82,      52.522252,       +0.377442,  101683.01,  220776.85,    5187.13,             8425.84,   418.18,  77079.27,           60647.65,     34.11,     -6.71,          32.48,  +1.15,  -0.57
  3,     UK003A,       0,  0.175153, 2459442.553014109842,  65.08145,  29.17284,               75.52114,  26.31038,        75.52093,       26.31027,     65.08145,     +29.17284,      65.08253,      +29.17289,  3799551.21, -1081766.69,  5117478.71,      52.516016,       +0.363547,  100176.81,  219107.93,    7100.56,            10339.28,    -0.83,  47593.10,           60647.65,      0.82,     -0.16,           0.79,  +1.37,  -0.33

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.