Orbital Analysis for matched events on 20210904_025654.378_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 46.78° Bg 11.97° Vg 64.28km/s
mass 0.04791g, abs. mag -2.6
Path Details
------------
start 2.40° 51.27° 108.10km
end   2.36° 51.33° 91.11km

Orbit Details
-------------
Semimajor axis 8.35A.U., eccentricity 0.93, inclination 154.19°, Period 24.12Y, LA Sun 161.52°, last Perihelion 1997-09-02

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: 2459461.622851602267
Time: 2021-09-04 02:56:54.378436 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002F
 Convergence angle = 12.37932 deg
 R.A. =  41.53636  Dec = +28.79966 deg
Intersection 2 - Stations: UK002C and UK002N
 Convergence angle = 5.59305 deg
 R.A. =  46.72684  Dec = +28.70550 deg
Intersection 3 - Stations: UK002F and UK002N
 Convergence angle = 17.96013 deg
 R.A. =  43.13382  Dec = +28.48375 deg

Best intersection: Stations UK002F and UK002N with Qconv = 17.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3518691.93 +/- 49.95 m
 Y =   2038428.90 +/- 308.80 m
 Z =   5036530.99 +/- 106.29 m
 Vx =    43425.41 +/- 1457.12 m/s
 Vy =    37388.41 +/- 1445.86 m/s
 Vz =    31173.38 +/- 610.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.959115e+03, -7.487697e+03, -1.624265e+03, +9.489801e+03, -4.294936e+04, -1.014728e+04
-7.487697e+03, +7.470129e+04, +2.406906e+04, -8.461445e+04, +3.590052e+05, +9.674414e+04
-1.624265e+03, +2.406906e+04, +1.016815e+04, -2.929515e+04, +1.055883e+05, +3.790379e+04
+9.489801e+03, -8.461445e+04, -2.929515e+04, +1.162894e+05, -4.452736e+05, -1.407951e+05
-4.294936e+04, +3.590052e+05, +1.055883e+05, -4.452736e+05, +1.917799e+06, +4.917695e+05
-1.014728e+04, +9.674414e+04, +3.790379e+04, -1.407951e+05, +4.917695e+05, +1.818886e+05

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002C: -0.000022 s
    UK002F: 0.000016 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 02:56:54.378436 UTC
  Lon     = ++2.402371 +/- 0.0040 deg
  Lat     = +51.267426 +/- 0.0004 deg
  Lat geo = +51.082591 +/- 0.0004 deg
  Ht      =  108044.26 +/- 159.23 m

  JD dynamic   = 2459461.623652343173 
  LST apparent = 30.0843304516 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.72780 +/- 1.2892 deg
  Dec       = +28.54652 +/- 0.1958 deg
  Azimuth   = 156.57387 +/- 2.5277 deg
  Elevation = +65.91503 +/- 0.4348 deg
  Vavg      =  63.30066 +/- 0.8816 km/s
  Vinit     =  65.23372 +/- 0.8666 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.01891 +/- 1.2892 deg
  Dec       = +28.52324 +/- 0.1958 deg
  Azimuth   = 155.99086 +/- 2.5277 deg
  Elevation = +65.81946 +/- 0.4348 deg
  Vavg      =  63.34943 +/- 0.8816 km/s
  Vinit     =  65.28249 +/- 0.8666 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.46568 +/- 1.2930 deg
  Dec    = +28.28421 +/- 0.1968 deg
  Vg     =  64.28288 +/- 0.8788 km/s
  Vinf   =  65.23372 +/- 0.8666 km/s
  Zc     =  23.91548 +/- 0.4382 deg
  Zg     =  24.09365 +/- 0.4372 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  46.77555 +/- 1.1081 deg
  Bg     = +11.97189 +/- 0.3947 deg
  Vh     =  40.65618 +/- 0.4315 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  27.39912 +/- 2.1445 deg
  Bh     = +19.14885 +/- 0.5990 deg
  Vh_x   = -34.09829 +/- 0.3341 km/s
  Vh_y   = -17.67422 +/- 1.5280 km/s
  Vh_z   = -13.33618 +/- 0.3048 km/s
Orbit:
  La Sun = 161.516464 +/- nan deg
  a      =   8.347189 +/- 29.4094 AU
  e      =   0.933353 +/- 0.0237
  i      = 154.189082 +/- 1.3320 deg
  peri   = 265.913720 +/- 4.8935 deg
  node   = 161.514171 +/- 0.0003 deg
  Pi     =  67.427891 +/- 4.8938 deg
  q      =   0.556318 +/- 0.0366 AU
  f      = 274.081720 +/- 4.8932 deg
  M      = 358.336843 +/- nan deg
  Q      =  16.138060 +/- 58.8228 AU
  n      =   0.040869 +/- 0.0118 deg/day
  T      =  24.116319 +/- 339934578.9467 years
  Last perihelion JD = 2450693.679700 (1997-09-02 04:18:46.066822) +/- 54928.9948 days
  Tj     =  -0.195034 +/- 0.2496
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.622184e-04, +6.439749e-04, -8.935236e+02, -8.732018e-08, -1.488538e-03, +4.008816e-04
q   , +6.439749e-04, +1.176294e-03, -1.464812e+03, -1.534210e-07, -2.712364e-03, +7.103146e-04
Tp  , -8.935236e+02, -1.464812e+03, +3.140133e+09, +2.089332e-01, +3.410544e+03, -9.323738e+02
node, -8.732018e-08, -1.534210e-07, +2.089332e-01, +2.368208e-11, +3.551253e-07, -1.083631e-07
peri, -1.488538e-03, -2.712364e-03, +3.410544e+03, +3.551253e-07, +6.255691e-03, -1.642945e-03
i   , +4.008816e-04, +7.103146e-04, -9.323738e+02, -1.083631e-07, -1.642945e-03, +4.975707e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 95.187404

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 1.046e-06 s
  Stddev    = 1.02e-03 s

Begin point on the trajectory:
  Lon =     2.402520 +/- 0.0040 deg
  Lat =    51.267211 +/- 0.0004 deg
  Ht  = 108103.69 +/- 132.64 m
End point on the trajectory:
  Lon =     2.358520 +/- 0.0026 deg
  Lat =    51.328998 +/- 0.0003 deg
  Ht  = 91106.35 +/- 84.70 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
    UK000F,    True,    -1.306160,    51.883100,   80.00, 61694.112989,   0.000000,   106688.92,    99235.70,          0.487213,       nan,       nan,              51.20, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210904_025646_488_0652800.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.184380,  23.853381,   107880.49,    91377.01,          0.016186,     78.84,     39.08,              57.64, 0.7135,    True,    True, {"ff_name": "FF_UK002C_20210904_025650_946_0679680.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   104944.83,    91106.35,          0.016348,     69.46,     40.75,              51.20, 0.6074,    True,    True, {"ff_name": "FF_UK002F_20210904_025645_699_0657664.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   108103.69,    91844.76,          0.016406,     63.40,     28.62,              53.44, 0.6452,    True,    True, {"ff_name": "FF_UK002N_20210904_025649_073_0687616.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,     UK000F,       1,  0.976181, 2459461.622862900607,  93.60283,   8.59473,              102.90385,  20.72145,       103.38034,       20.52950,     93.60283,      +8.59473,      93.36678,       +8.17132,  3517706.93,  2037580.84,  5035823.90,      51.272325,       +2.394909,  106688.92,  288025.85,       0.00,             1479.66, -61756.88,      0.00,           67260.02,  -1228.49,  -2108.91,        1747.83,  +1.80,  -0.50
  1,     UK000F,       1,  1.016429, 2459461.622863366269,  93.97197,   8.38415,              102.73134,  20.33218,       103.20513,       20.14144,     93.97197,      +8.38415,      93.73665,       +7.96252,  3515956.49,  2036073.74,  5034567.33,      51.281034,       +2.388723,  104288.14,  286456.88,    2629.51,             4109.18, -61752.90,  65332.76,           67260.02,  -1217.42,  -2089.77,        1741.48,  +0.71,  -1.58
  2,     UK000F,       1,  1.056673, 2459461.622863832396,  94.34283,   8.18247,              102.55193,  19.94879,       103.03189,       19.75564,     94.34283,      +8.18247,      94.10382,       +7.75471,  3514235.71,  2034592.18,  5033332.05,      51.289602,       +2.382632,  101928.19,  284929.57,    5214.48,             6694.14, -61793.20,  64232.27,           67260.02,  -1229.08,  -2109.93,        1767.67,  +0.37,  -1.90
  3,     UK000F,       1,  1.096957, 2459461.622864298522,  94.76520,   7.93978,              102.35642,  19.50167,       102.83289,       19.31006,     94.76520,      +7.93978,      94.52725,       +7.51444,  3512272.28,  2032901.70,  5031922.58,      51.299385,       +2.375698,   99235.70,  283207.24,    8163.95,             9643.61, -61471.60,  73217.01,           67260.02,  -1215.57,  -2086.57,        1758.77,  -0.23,  -2.49
  0,     UK002C,       0,  0.007212, 2459461.622851686087, 103.82020,  14.41999,               90.15173,  18.71522,        90.18259,       18.70163,    103.82020,     +14.41999,     103.80621,      +14.39075,  3518572.51,  2038326.08,  5036445.27,      51.268020,       +2.401931,  107880.49,  314705.88,       0.00,              179.39,   152.28,      0.00,           64749.29,    -78.62,   -158.64,         116.05,  +2.65,  +0.16
  1,     UK002C,       0,  0.047516, 2459461.622852152679, 104.17063,  14.22447,               90.01086,  18.34688,        90.00909,       18.34766,    104.17063,     +14.22447,     104.17164,      +14.22615,  3516923.40,  2036906.23,  5035261.44,      51.276222,       +2.396096,  105618.95,  313453.44,    2477.30,             2656.69,     0.40,  61465.45,           64749.29,      4.51,      9.09,           6.67,  +1.73,  -0.75
  2,     UK002C,       0,  0.087828, 2459461.622852619272, 104.57471,  14.05735,               89.80868,  17.96667,        89.82066,       17.96140,    104.57471,     +14.05735,     104.56959,      +14.04597,  3515139.74,  2035370.53,  5033981.02,      51.285100,       +2.389792,  103173.05,  312116.25,    5156.72,             5336.11,    50.12,  66467.08,           64749.29,    -30.40,    -61.32,          45.23,  +1.02,  -1.45
  3,     UK002C,       0,  0.128144, 2459461.622853085864, 104.97087,  13.87684,               89.62166,  17.58110,        89.63351,       17.57589,    104.97087,     +13.87684,     104.96595,      +13.86558,  3513375.36,  2033851.44,  5032714.44,      51.293887,       +2.383548,  100753.77,  310810.51,    7807.17,             7986.55,    70.60,  65741.74,           64749.29,    -29.98,    -60.48,          44.80,  +0.64,  -1.82
  4,     UK002C,       0,  0.168456, 2459461.622853552457, 105.34901,  13.68587,               89.45561,  17.19869,        89.45201,       17.20027,    105.34901,     +13.68587,     105.35138,      +13.68929,  3511670.99,  2032384.01,  5031490.95,      51.302382,       +2.377503,   98416.92,  309565.15,   10367.47,            10546.86,     1.21,  63512.21,           64658.37,      9.09,     18.33,          13.64,  +0.33,  -2.12
  5,     UK002C,       0,  0.208776, 2459461.622854019050, 105.73934,  13.49268,               89.28138,  16.80689,        89.26603,       16.81363,    105.73934,     +13.49268,     105.74735,      +13.50728,  3509931.50,  2030886.34,  5030242.23,      51.311058,       +2.371331,   96032.07,  308311.13,   12980.54,            13159.93,   -15.95,  64808.33,           64653.83,     38.67,     77.95,          58.22,  +0.32,  -2.12
  6,     UK002C,       0,  0.249072, 2459461.622854485177, 106.13575,  13.33427,               89.07897,  16.43789,        89.08485,       16.43531,    106.13575,     +13.33427,     106.13405,      +13.32868,  3508243.60,  2029433.09,  5029030.55,      51.319482,       +2.365331,   93718.10,  307110.38,   15516.12,            15695.50,  -109.03,  62923.65,           64466.91,    -14.76,    -29.78,          22.32,  +0.33,  -2.11
  7,     UK002C,       0,  0.289380, 2459461.622854951769, 106.53573,  13.16456,               88.88128,  16.05794,        88.90083,       16.04936,    106.53573,     +13.16456,     106.52779,      +13.14594,  3506535.79,  2027962.71,  5027804.59,      51.328012,       +2.359256,   91377.01,  305912.23,   18081.58,            18260.97,  -173.01,  63646.53,           64320.66,    -48.96,    -98.78,          74.34,  +0.55,  -1.88
  0,     UK002F,       1,  0.019359, 2459461.622851826251,  93.29295,   8.22718,              103.40276,  20.61580,       103.41074,       20.61262,     93.29295,      +8.22718,      93.28898,       +8.22012,  3518179.45,  2037987.67,  5036163.11,      51.269974,       +2.400530,  107341.45,  288701.53,       0.00,              769.84,   -49.66,      0.00,           65302.78,    -20.69,    -35.28,          29.22,  +3.50,  +1.20
  1,     UK002F,       0,  0.059727, 2459461.622852293309,  93.66331,   8.02380,              103.22346,  20.23167,       103.23624,       20.22659,     93.66331,      +8.02380,      93.65705,       +8.01249,  3516431.81,  2036482.98,  5034908.55,      51.278668,       +2.394355,  104944.83,  287131.74,    2625.31,             3395.15,   -57.70,  65034.40,           65302.78,    -33.00,    -56.28,          46.87,  +0.92,  -1.37
  2,     UK002F,       0,  0.100099, 2459461.622852760833,  94.02673,   7.80344,              103.06129,  19.83807,       103.06152,       19.83798,     94.02673,      +7.80344,      94.02703,       +7.80323,  3514692.27,  2034985.28,  5033659.80,      51.287328,       +2.388201,  102559.48,  285584.60,    5238.45,             6008.29,   -78.18,  64726.53,           65302.78,     -0.59,     -1.01,           0.84,  +0.03,  -2.25
  3,     UK002F,       0,  0.140483, 2459461.622853227891,  94.39791,   7.56586,              102.90399,  19.42599,       102.88131,       19.43500,     94.39791,      +7.56586,      94.41013,       +7.58600,  3512908.87,  2033449.80,  5032379.57,      51.296212,       +2.381889,  100114.14,  284014.98,    7917.48,             8687.32,   -33.54,  66339.07,           65302.78,     58.22,     99.24,          83.56,  -0.38,  -2.65
  4,     UK002F,       0,  0.180871, 2459461.622853695415,  94.78856,   7.35633,              102.71271,  19.02436,       102.70077,       19.02910,     94.78856,      +7.35633,      94.79545,       +7.36695,  3511132.92,  2031920.74,  5031104.68,      51.305065,       +2.375595,   97679.19,  282468.49,   10585.32,            11355.16,    -0.36,  66055.21,           65537.76,     30.52,     52.04,          44.05,  -0.79,  -3.04
  5,     UK002F,       0,  0.221255, 2459461.622854162939,  95.16396,   7.12655,              102.54749,  18.61566,       102.52229,       18.62566,     95.16396,      +7.12655,      95.17789,       +7.14899,  3509387.38,  2030417.87,  5029851.63,      51.313773,       +2.369400,   95286.11,  280964.74,   13207.47,            13977.31,   -12.61,  64930.40,           65518.10,     64.25,    109.52,          93.21,  -0.87,  -3.11
  6,     UK002F,       0,  0.261671, 2459461.622854630463,  95.58216,   6.89607,              102.34748,  18.18048,       102.32951,       18.18760,     95.58216,      +6.89607,      95.59255,       +6.91210,  3507513.95,  2028804.88,  5028506.77,      51.323126,       +2.362756,   92717.87,  279370.03,   16021.74,            16791.58,   165.17,  69632.61,           65952.35,     45.63,     77.79,          66.59,  -0.91,  -3.14
  7,     UK002F,       0,  0.301935, 2459461.622855096590,  95.85357,   6.76230,              102.20780,  17.91052,       102.20816,       17.91037,     95.85357,      +6.76230,      95.85464,       +6.76198,  3506338.36,  2027792.72,  5027662.86,      51.328998,       +2.358520,   91106.35,  278375.22,   17787.72,            18557.56,  -695.42,  43859.84,           64297.99,     -0.92,     -1.57,           1.35,  +0.59,  -1.63
  0,     UK002N,       0,  0.000000, 2459461.622851602267, 101.53671,  20.12950,               88.69369,  25.12763,        88.65914,       25.14341,    101.53671,     +20.12950,     101.55035,      +20.16211,  3518735.26,  2038466.21,  5036562.10,      51.267211,       +2.402520,  108103.69,  245357.29,       0.00,               65.09,   508.48,      0.00,           61700.96,     61.74,   -136.74,         126.13,  +2.46,  +0.51
  1,     UK002N,       0,  0.040212, 2459461.622852067463, 102.00380,  19.98443,               88.43928,  24.72722,        88.42973,       24.73158,    102.00380,     +19.98443,     102.00777,      +19.99346,  3517143.76,  2037095.96,  5035419.63,      51.275126,       +2.396884,  105921.14,  243999.71,    2390.75,             2325.66,   145.87,  59453.67,           61700.96,     17.01,    -37.68,          34.95,  +1.36,  -0.58
  2,     UK002N,       0,  0.080436, 2459461.622852533124, 102.44133,  19.81493,               88.22556,  24.32699,        88.20991,       24.33413,    102.44133,     +19.81493,     102.44795,      +19.82975,  3515625.36,  2035788.64,  5034329.62,      51.282682,       +2.391494,  103838.95,  242718.90,    4671.70,             4606.61,  -197.14,  56706.24,           61700.96,     27.79,    -61.58,          57.41,  +0.31,  -1.62
  3,     UK002N,       0,  0.120712, 2459461.622852999251, 102.99898,  19.61559,               87.94085,  23.82924,        87.93461,       23.83209,    102.99898,     +19.61559,     103.00201,      +19.62150,  3513732.69,  2034159.09,  5032970.95,      51.292107,       +2.384810,  101243.71,  241145.76,    7514.87,             7449.78,    18.68,  70592.19,           61700.96,     11.04,    -24.46,          22.95,  -0.30,  -2.21
  4,     UK002N,       0,  0.160980, 2459461.622853465378, 103.51602,  19.41022,               87.69158,  23.35228,        87.67723,       23.35881,    103.51602,     +19.41022,     103.52256,      +19.42386,  3511971.98,  2032643.16,  5031707.01,      51.300881,       +2.378573,   98829.59,  239702.61,   10159.81,            10094.71,    36.78,  65683.25,           63221.44,     25.32,    -56.10,          52.96,  -0.56,  -2.46
  5,     UK002N,       0,  0.201232, 2459461.622853931505, 104.04381,  19.22964,               87.41599,  22.88704,        87.42138,       22.88459,    104.04381,     +19.22964,     104.04243,      +19.22451,  3510230.09,  2031143.43,  5030456.58,      51.309568,       +2.372394,   96441.43,  238295.11,   12776.48,            12711.38,    27.66,  65007.17,           63910.70,     -9.48,     21.03,          19.97,  -0.75,  -2.64
  6,     UK002N,       0,  0.241500, 2459461.622854397632, 104.55815,  19.02249,               87.16963,  22.41022,        87.16788,       22.41102,    104.55815,     +19.02249,     104.55989,      +19.02416,  3508512.16,  2029664.32,  5029223.34,      51.318141,       +2.366291,   94086.27,  236926.97,   15357.16,            15292.07,   -18.49,  64087.78,           64175.79,      3.07,     -6.79,           6.49,  -0.74,  -2.61
  7,     UK002N,       0,  0.281768, 2459461.622854863293, 105.04869,  18.81439,               86.94188,  21.94745,        86.92550,       21.95488,    105.04869,     +18.81439,     105.05673,      +18.83000,  3506877.03,  2028256.50,  5028049.55,      51.326307,       +2.360468,   91844.76,  235643.19,   17813.46,            17748.37,  -189.02,  60998.69,           64021.34,     28.61,    -63.39,          60.88,  -0.66,  -2.52

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.