Orbital Analysis for matched events on 20210813_224147.905_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.29° Bg 38.24° Vg 59.72km/s
mass 0.16495g, abs. mag -2.0
Path Details
------------
start 2.66° 53.50° 111.77km
end   2.48° 53.37° 96.64km

Orbit Details
-------------
Semimajor axis 71.81A.U., eccentricity 0.99, inclination 113.75°, Period 608.55Y, LA Sun 141.10°, last Perihelion 2021-07-24

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: 2459440.445693346672
Time: 2021-08-13 22:41:47.905152 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 88.91526 deg
 R.A. =  31.52235  Dec = +45.79965 deg

Best intersection: Stations UK002F and UK002K with Qconv = 88.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2257225.52 +/- 138.52 m
 Y =  -3141950.11 +/- 111.72 m
 Z =   5193472.15 +/- 204.12 m
 Vx =    20560.09 +/- 362.98 m/s
 Vy =    24118.16 +/- 220.22 m/s
 Vz =    51820.29 +/- 456.22 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.203544e+02, +4.805909e+02, +1.239277e+03, +2.879685e+03, -1.005605e+03, +1.080527e+03
+4.805909e+02, +2.340875e+03, +3.204122e+03, -1.305427e+03, +1.682705e+03, -2.054099e+02
+1.239277e+03, +3.204122e+03, +4.797172e+03, +4.406006e+02, +1.347168e+03, +5.133059e+02
+2.879685e+03, -1.305427e+03, +4.406006e+02, +1.278609e+04, -6.114031e+03, +4.415351e+03
-1.005605e+03, +1.682705e+03, +1.347168e+03, -6.114031e+03, +3.431108e+03, -1.993670e+03
+1.080527e+03, -2.054099e+02, +5.133059e+02, +4.415351e+03, -1.993670e+03, +1.552005e+03

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -0.000554 s

Reference point on the trajectory:
  Time: 2021-08-13 22:41:47.905152 UTC
  Lon     = ++2.662279 +/- 0.0026 deg
  Lat     = +53.497940 +/- 0.0012 deg
  Lat geo = +53.316917 +/- 0.0012 deg
  Ht      =  111635.83 +/- 157.04 m

  JD dynamic   = 2459440.446494087577 
  LST apparent = 305.6940506766 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.55328 +/- 0.3053 deg
  Dec       = +58.55082 +/- 0.1597 deg
  Azimuth   =  39.80244 +/- 0.2798 deg
  Elevation = +37.69168 +/- 0.0511 deg
  Vavg      =  59.32071 +/- 0.2946 km/s
  Vinit     =  60.74328 +/- 0.4305 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.43216 +/- 0.3053 deg
  Dec       = +58.33088 +/- 0.1597 deg
  Azimuth   =  40.05982 +/- 0.2798 deg
  Elevation = +37.58749 +/- 0.0511 deg
  Vavg      =  59.46410 +/- 0.2946 km/s
  Vinit     =  60.88667 +/- 0.4305 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.79286 +/- 0.3140 deg
  Dec    = +58.14533 +/- 0.1553 deg
  Vg     =  59.72143 +/- 0.4377 km/s
  Vinf   =  60.74328 +/- 0.4305 km/s
  Zc     =  52.44748 +/- 0.0512 deg
  Zg     =  52.92628 +/- 0.0523 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.29143 +/- 0.2600 deg
  Bg     = +38.24241 +/- 0.1002 deg
  Vh     =  41.70168 +/- 0.3216 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.66415 +/- 0.9460 deg
  Bh     = +62.43280 +/- 0.2686 deg
  Vh_x   =  -2.12977 +/- 0.3651 km/s
  Vh_y   = -19.18119 +/- 0.2785 km/s
  Vh_z   = -36.96723 +/- 0.1953 km/s
Orbit:
  La Sun = 141.096657 +/- -0.0000 deg
  a      =  71.812345 +/- 1262.7701 AU
  e      =   0.986774 +/- 0.0293
  i      = 113.747690 +/- 0.4512 deg
  peri   = 150.955031 +/- 0.9274 deg
  node   = 141.095303 +/- 0.0000 deg
  Pi     = 292.050334 +/- 0.9273 deg
  q      =   0.949799 +/- 0.0031 AU
  f      =  29.040884 +/- 0.9274 deg
  M      =   0.032734 +/- nan deg
  Q      = 142.674891 +/- 2525.5397 AU
  n      =   0.001620 +/- 0.0079 deg/day
  T      = 608.554253 +/- 399999774.7471 years
  Last perihelion JD = 2459420.235333 (2021-07-24 17:38:52.783498) +/- 0.2217 days
  Tj     =  -0.412519 +/- 0.1724
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.416996e-05, +5.831884e-06, +9.882522e-04, -1.454441e-10, +2.554015e-05, +1.870736e-06
q   , +5.831884e-06, +2.553956e-06, +4.289606e-04, -4.884259e-11, +1.113645e-05, +6.271003e-07
Tp  , +9.882522e-04, +4.289606e-04, +7.213731e-02, -8.550777e-09, +1.871601e-03, +1.098195e-04
node, -1.454441e-10, -4.884259e-11, -8.550777e-09, +2.282374e-15, -2.173652e-10, -2.943702e-11
peri, +2.554015e-05, +1.113645e-05, +1.871601e-03, -2.173652e-10, +4.857449e-05, +2.791231e-06
i   , +1.870736e-06, +6.271003e-07, +1.098195e-04, -2.943702e-11, +2.791231e-06, +3.796707e-07

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 6.745e-06 s
  Stddev    = 2.60e-03 s

Begin point on the trajectory:
  Lon =     2.663881 +/- 0.0015 deg
  Lat =    53.499087 +/- 0.0003 deg
  Ht  = 111766.39 +/- 64.06 m
End point on the trajectory:
  Lon =     2.476349 +/- 0.0009 deg
  Lat =    53.365599 +/- 0.0001 deg
  Ht  = 96641.98 +/- 31.74 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,   0.000000,   0.000000,   111766.39,    97137.46,          0.011380,     19.57,     62.59,              18.39, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_224143_752_0188160.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.003975,  27.337604,   109660.98,    96641.98,          0.004982,     17.78,      7.96,              35.02, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_224146_681_0222464.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, 2459440.445693346672,  49.49198,  35.24734,               54.62018,  17.47086,        54.61263,       17.46521,     49.49198,     +35.24734,      49.50318,      +35.24733,  2257297.79, -3141865.33,  5193654.31,      53.499087,       +2.663881,  111766.39,  344422.61,       0.00,              213.52,   818.25,      0.00,           56674.90,     52.48,     16.46,          32.94,  +4.48,  +1.79
  1,     UK002F,       0,  0.040108, 2459440.445693810936,  49.51355,  35.09931,               54.70119,  17.34339,        54.70796,       17.34844,     49.51355,     +35.09931,      49.50369,      +35.09932,  2256535.68, -3142759.33,  5191733.46,      53.486996,       +2.646823,  110389.87,  342346.86,    2251.60,             2038.08,   206.53,  56138.48,           56674.90,    -46.75,    -14.63,          29.52,  +3.63,  +0.96
  2,     UK002F,       0,  0.080200, 2459440.445694274735,  49.49838,  34.95103,               54.80704,  17.23418,        54.80333,       17.23141,     49.49838,     +34.95103,      49.50421,      +34.95103,  2255781.26, -3143644.31,  5189831.99,      53.475020,       +2.629937,  109027.71,  340294.23,    4480.49,             4266.97,     0.09,  55594.31,           56674.90,     25.52,      8.00,          16.21,  +2.31,  -0.35
  3,     UK002F,       0,  0.120304, 2459440.445694738999,  49.49610,  34.79254,               54.91065,  17.11038,        54.90515,       17.10628,     49.49610,     +34.79254,      49.50472,      +34.79253,  2254985.11, -3144578.24,  5187825.34,      53.462374,       +2.612130,  107590.71,  338131.06,    6832.66,             6619.14,   -83.79,  58651.69,           56674.90,     37.52,     11.76,          23.99,  +2.10,  -0.55
  4,     UK002F,       0,  0.160420, 2459440.445695203263,  49.50011,  34.62213,               55.01751,  16.97396,        55.01450,       16.97171,     49.50011,     +34.62213,      49.50522,      +34.62212,  2254140.69, -3145568.78,  5185697.06,      53.448953,       +2.593256,  106067.18,  335840.17,    9327.41,             9113.89,   -25.81,  62188.50,           57939.73,     20.46,      6.41,          13.17,  +1.54,  -1.09
  5,     UK002F,       0,  0.200540, 2459440.445695667528,  49.50299,  34.44412,               55.12984,  16.83205,        55.12856,       16.83109,     49.50299,     +34.44412,      49.50572,      +34.44412,  2253270.90, -3146589.10,  5183504.81,      53.435118,       +2.573823,  104498.46,  333483.85,   11897.15,            11683.63,   106.91,  64051.31,           59174.50,      8.67,      2.71,           5.62,  +1.50,  -1.12
  6,     UK002F,       0,  0.240672, 2459440.445696132258,  49.53751,  34.26917,               55.21849,  16.67643,        55.24048,       16.69281,     49.53751,     +34.26917,      49.50623,      +34.26917,  2252427.67, -3147578.26,  5181379.50,      53.421696,       +2.554981,  102978.25,  331202.30,   14388.41,            14174.90,   160.42,  62076.79,           59926.57,   -147.24,    -45.92,          96.06,  +1.51,  -1.09
  7,     UK002F,       0,  0.280768, 2459440.445696596522,  49.50240,  34.10442,               55.34789,  16.56414,        55.34571,       16.56251,     49.50240,     +34.10442,      49.50677,      +34.10442,  2251643.71, -3148497.89,  5179403.59,      53.409209,       +2.537455,  101565.41,  329083.30,   16704.56,            16491.05,    41.01,  57765.10,           60059.77,     14.49,      4.54,           9.52,  +1.52,  -1.07
  8,     UK002F,       0,  0.320880, 2459440.445697060786,  49.51273,  33.93921,               55.44646,  16.42835,        55.45108,       16.43180,     49.51273,     +33.93921,      49.50730,      +33.93921,  2250867.53, -3149408.39,  5177447.27,      53.396839,       +2.520103,  100167.08,  326987.93,   18997.74,            18784.22,  -102.35,  57169.31,           59929.22,    -30.56,     -9.56,          20.20,  +1.40,  -1.17
  9,     UK002F,       0,  0.360996, 2459440.445697525050,  49.51092,  33.76421,               55.55942,  16.29095,        55.56256,       16.29329,     49.51092,     +33.76421,      49.50784,      +33.76421,  2250056.28, -3150360.04,  5175402.57,      53.383901,       +2.501978,   98706.10,  324801.25,   21394.52,            21181.00,  -142.34,  59746.29,           59852.78,    -20.64,     -6.46,          13.73,  +1.51,  -1.05
 10,     UK002F,       0,  0.401112, 2459440.445697989315,  49.48186,  33.57356,               55.70090,  16.15501,        55.68388,       16.14232,     49.48186,     +33.57356,      49.50836,      +33.57352,  2249184.90, -3151382.22,  5173206.32,      53.369994,       +2.482525,   97137.46,  322456.60,   23968.95,            23755.43,    -4.70,  64174.49,           60007.56,    111.09,     34.87,          74.48,  +1.32,  -1.22
 11,     UK002F,       1,  0.441196, 2459440.445698453113,  49.47123,  33.43577,               55.79594,  16.05145,        55.77133,       16.03309,     49.47123,     +33.43577,      49.50896,      +33.43572,  2248561.59, -3152113.39,  5171635.31,      53.360041,       +2.468565,   96015.73,  320779.03,   25810.47,            25596.95,  -598.01,  45941.63,           59556.25,    159.93,     50.26,         107.80,  +5.61,  +3.08
  0,     UK002K,       1,  0.018212, 2459440.445693564136,  15.16667,  21.89383,               90.16667,  27.74581,        90.16574,       27.74405,     15.16667,     +21.89383,      15.16866,      +21.89301,  2256969.40, -3142250.55,  5192826.62,      53.493878,       +2.656524,  111173.19,  231780.51,       0.00,              756.69,   255.16,      0.00,           59251.30,      3.22,      7.20,           7.02,  +4.82,  +2.99
  1,     UK002K,       0,  0.058476, 2459440.445694029797,  14.97728,  21.50283,               90.60172,  27.55781,        90.60417,       27.56239,     14.97728,     +21.50283,      14.97258,      +21.50498,  2256132.02, -3143232.85,  5190716.05,      53.480589,       +2.637798,  109660.98,  230001.68,    2473.99,             3230.68,   283.38,  61444.22,           59251.30,     -8.33,    -18.58,          18.26,  +1.66,  -0.15
  2,     UK002K,       0,  0.098712, 2459440.445694495924,  14.80212,  21.14593,               90.99996,  27.38703,        91.00426,       27.39503,     14.80212,     +21.14593,      14.79391,      +21.14966,  2255376.61, -3144118.98,  5188812.11,      53.468594,       +2.620892,  108297.29,  228407.22,    4705.78,             5462.46,    71.11,  55467.45,           59251.30,    -14.45,    -32.24,          31.91,  +1.53,  -0.26
  3,     UK002K,       0,  0.138976, 2459440.445694961585,  14.59362,  20.74434,               91.45651,  27.20108,        91.45766,       27.20319,     14.59362,     +20.74434,      14.59192,      +20.74532,  2254530.30, -3145111.76,  5186679.03,      53.455146,       +2.601974,  106770.05,  226634.99,    7206.15,             7962.84,   125.71,  62099.44,           59251.30,     -3.79,     -8.47,           8.44,  +1.33,  -0.45
  4,     UK002K,       0,  0.179212, 2459440.445695427246,  14.41437,  20.38453,               91.85873,  27.02945,        91.85982,       27.03144,     14.41437,     +20.38453,      14.41298,      +20.38546,  2253788.16, -3145982.32,  5184808.53,      53.443346,       +2.585366,  105431.29,  225091.15,    9398.74,            10155.42,  -125.77,  54493.16,           58458.86,     -3.55,     -7.92,           7.96,  +0.80,  -0.96
  5,     UK002K,       0,  0.219484, 2459440.445695893373,  14.21638,  19.97383,               92.31161,  26.82900,        92.31485,       26.83490,     14.21638,     +19.97383,      14.21094,      +19.97658,  2252957.74, -3146956.45,  5182715.51,      53.430134,       +2.566806,  103933.81,  223377.83,   11852.15,            12608.84,  -118.61,  60921.09,           58584.34,    -10.47,    -23.38,          23.66,  +0.79,  -0.96
  6,     UK002K,       0,  0.259764, 2459440.445696359966,  14.00648,  19.55044,               92.78226,  26.62511,        92.78478,       26.62965,     14.00648,     +19.55044,      14.00268,      +19.55255,  2252110.27, -3147950.59,  5180579.51,      53.416641,       +2.547871,  102406.16,  221643.98,   14355.96,            15112.65,   -61.54,  62160.11,           59012.56,     -8.02,    -17.90,          18.26,  +0.91,  -0.82
  7,     UK002K,       0,  0.300044, 2459440.445696826093,  13.79439,  19.11925,               93.25924,  26.41575,        93.26118,       26.41923,     13.79439,     +19.11925,      13.79189,      +19.12087,  2251261.31, -3148946.47,  5178439.77,      53.403116,       +2.528906,  100876.43,  219922.12,   16864.14,            17620.83,    -0.09,  62268.70,           59462.46,     -6.11,    -13.65,          14.03,  +1.45,  -0.26
  8,     UK002K,       0,  0.340324, 2459440.445697292220,  13.58150,  18.68825,               93.73573,  26.20627,        93.73620,       26.20710,     13.58150,     +18.68825,      13.58204,      +18.68863,  2250424.77, -3149927.77,  5176331.33,      53.389779,       +2.510219,   99369.66,  218240.34,   19335.63,            20092.32,    24.65,  61357.66,           59798.79,     -1.44,     -3.22,           3.33,  +0.65,  -1.04
  9,     UK002K,       0,  0.380580, 2459440.445697757881,  13.38045,  18.29095,               94.17807,  26.01537,        94.17466,       26.00935,     13.38045,     +18.29095,      13.38853,      +18.28815,  2249661.22, -3150823.46,  5174406.85,      53.377597,       +2.493151,   97994.84,  216717.74,   21591.49,            22348.17,  -164.77,  56037.76,           59764.84,     10.44,     23.34,          24.34,  +0.59,  -1.09
 10,     UK002K,       0,  0.420844, 2459440.445698224008,  13.19612,  17.88754,               94.60998,  25.80916,        94.61084,       25.81067,     13.19612,     +17.88754,      13.19625,      +17.88824,  2248909.60, -3151705.16,  5172512.45,      53.365599,       +2.476349,   96641.98,  215231.44,   23812.09,            24568.78,  -389.93,  55151.14,           59536.60,     -2.61,     -5.83,           6.12,  +0.95,  -0.71

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.