Orbital Analysis for matched events on 20210904_040248.402_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 77.55° Bg 3.75° Vg 73.21km/s
mass 0.00474g, abs. mag 0.5
Path Details
------------
start -0.43° 50.68° 111.79km
end   -0.53° 50.72° 100.22km

Orbit Details
-------------
Semimajor axis -5.08A.U., eccentricity 1.19, inclination 173.66°, Period 1000000000.00Y, LA Sun 161.56°, 

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

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459461.668615773320
Time: 2021-09-04 04:02:48.421201 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002B
 Convergence angle = 46.33365 deg
 R.A. =  76.38281  Dec = +26.73530 deg
Intersection 2 - Stations: UK0001 and UK002C
 Convergence angle = 89.57935 deg
 R.A. =  75.70771  Dec = +26.54550 deg
Intersection 3 - Stations: UK0001 and UK002D
 Convergence angle = 89.75452 deg
 R.A. =  75.82715  Dec = +26.57936 deg
Intersection 4 - Stations: UK002B and UK002C
 Convergence angle = 44.09063 deg
 R.A. =  75.93405  Dec = +25.91998 deg
Intersection 5 - Stations: UK002B and UK002D
 Convergence angle = 43.91430 deg
 R.A. =  76.01192  Dec = +26.06238 deg
Intersection 6 - Stations: UK002C and UK002D
 Convergence angle = 0.20795 deg
 R.A. = 265.34369  Dec =  +4.70254 deg

Best intersection: Stations UK0001 and UK002D with Qconv = 89.75 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2975966.43 +/- 73.43 m
 Y =   2851949.82 +/- 433.88 m
 Z =   4998580.75 +/- 240.64 m
 Vx =    15683.21 +/- 1252.99 m/s
 Vy =    64220.20 +/- 1990.82 m/s
 Vz =    33356.39 +/- 1297.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.639767e+03, +3.039998e+04, +1.632581e+04, -2.740598e+03, +5.454241e+04, +3.659259e+04
+3.039998e+04, +2.191243e+05, +1.142093e+05, -3.152350e+04, +6.116584e+05, +3.836123e+05
+1.632581e+04, +1.142093e+05, +6.355677e+04, -9.708893e+03, +3.473375e+05, +2.375743e+05
-2.740598e+03, -3.152350e+04, -9.708893e+03, +1.729667e+04, -6.799466e+04, -1.306781e+04
+5.454241e+04, +6.116584e+05, +3.473375e+05, -6.799466e+04, +2.790515e+06, +1.911853e+06
+3.659259e+04, +3.836123e+05, +2.375743e+05, -1.306781e+04, +1.911853e+06, +1.407907e+06

Timing offsets (from input data):
    UK0001: 0.000476 s
    UK002B: 0.000000 s
    UK002C: 0.004924 s
    UK002D: 0.004611 s

Reference point on the trajectory:
  Time: 2021-09-04 04:02:48.421201 UTC
  Lon     = +-0.421301 +/- 0.0041 deg
  Lat     = +50.676059 +/- 0.0010 deg
  Lat geo = +50.490583 +/- 0.0010 deg
  Ht      =  113445.63 +/- 391.71 m

  JD dynamic   = 2459461.669416727033 
  LST apparent = 43.7809440625 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  76.27641 +/- 0.6785 deg
  Dec       = +26.77452 +/- 0.2745 deg
  Azimuth   = 121.76979 +/- 1.1206 deg
  Elevation = +55.65585 +/- 0.2129 deg
  Vavg      =  72.69229 +/- 1.4568 km/s
  Vinit     =  74.04624 +/- 2.1760 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  76.49560 +/- 0.6785 deg
  Dec       = +26.71817 +/- 0.2745 deg
  Azimuth   = 121.55406 +/- 1.1206 deg
  Elevation = +55.49272 +/- 0.2129 deg
  Vavg      =  72.83692 +/- 1.4568 km/s
  Vinit     =  74.19088 +/- 2.1760 km/s
Radiant (geocentric, J2000):
  R.A.   =  76.07608 +/- 0.6726 deg
  Dec    = +26.58662 +/- 0.2857 deg
  Vg     =  73.21068 +/- 2.2035 km/s
  Vinf   =  74.04624 +/- 2.1760 km/s
  Zc     =  34.24681 +/- 0.2152 deg
  Zg     =  34.44713 +/- 0.2075 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  77.54635 +/- 0.6243 deg
  Bg     =  +3.74885 +/- 0.2353 deg
  Vh     =  43.97413 +/- 2.2481 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.04105 +/- 0.9096 deg
  Bh     =  +6.25167 +/- 0.2974 deg
  Vh_x   =  -6.80723 +/- 0.3661 km/s
  Vh_y   = -43.17933 +/- 2.2861 km/s
  Vh_z   =  -4.78860 +/- 0.4087 km/s
Orbit:
  La Sun = 161.560821 +/- 0.0000 deg
  a      =  -5.084059 +/- 188.2101 AU
  e      =   1.193488 +/- 0.2021
  i      = 173.662200 +/- 0.3107 deg
  peri   = 162.679042 +/- 1.1825 deg
  node   = 161.546210 +/- 0.0008 deg
  Pi     = 324.225252 +/- 1.1826 deg
  q      =   0.983703 +/- 0.0027 AU
  f      =  17.304234 +/- 1.1823 deg
  M      =        nan +/- nan deg
  Q      = -11.151822 +/- 376.4202 AU
  n      =   0.085978 +/- 0.0956 deg/day
  T      = 1000000000.000000 +/- 471403774.7420 years
  Last perihelion JD = NaN 
  Tj     =  -2.303577 +/- 1.1305
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.108336e-02, -1.164631e-05, +2.913245e-01, +2.180395e-06, +3.812247e-03, -8.889986e-04
q   , -1.164631e-05, +9.449164e-07, +7.114681e-05, +1.101345e-08, +3.860594e-06, -4.546410e-06
Tp  , +2.913245e-01, +7.114681e-05, +2.841025e+00, +2.191797e-05, +3.789040e-02, -8.932772e-03
node, +2.180395e-06, +1.101345e-08, +2.191797e-05, +3.863115e-10, +3.220666e-07, -1.553490e-07
peri, +3.812247e-03, +3.860594e-06, +3.789040e-02, +3.220666e-07, +5.145870e-04, -1.314127e-04
i   , -8.889986e-04, -4.546410e-06, -8.932772e-03, -1.553490e-07, -1.314127e-04, +6.258379e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000419
 a2 = 63.212375

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 8.238e-07 s
  Stddev    = 9.08e-04 s

Begin point on the trajectory:
  Lon =    -0.434680 +/- 0.0030 deg
  Lat =    50.681323 +/- 0.0004 deg
  Ht  = 111789.43 +/- 257.37 m
End point on the trajectory:
  Lon =    -0.529295 +/- 0.0031 deg
  Lat =    50.718137 +/- 0.0003 deg
  Ht  = 100220.17 +/- 273.86 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000005,  82.505298,   111789.43,   100220.17,          0.013773,     28.57,     17.82,              13.30, 0.0530,    True,    True, {"ff_name": "FF_UK0001_20210904_040243_108_0781312.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   111269.95,   101324.15,          0.031731,     23.71,     64.84,              10.37, 0.0324,    True,    True, {"ff_name": "FF_UK002B_20210904_040247_946_0784384.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.216695,  20.327850,   109097.91,   101731.10,          0.045096,     73.69,    100.75,              13.42, 0.0538,    True,    True, {"ff_name": "FF_UK002C_20210904_040246_616_0778496.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   110441.09,   100916.10,          0.032895,     53.95,     72.99,              13.42, 0.0538,    True,    True, {"ff_name": "FF_UK002D_20210904_040247_393_0779520.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,     UK0001,       0,  0.025596, 2459461.668615986127,  91.12694,  29.94859,              101.15549,  48.43139,       101.16059,       48.42666,     91.12694,     +29.94859,      91.12811,      +29.94287,  2975541.55,  2850210.02,  4997677.09,      50.681323,       -0.434680,  111789.43,  148398.20,       0.00,             2006.00,   229.12,      0.00,           71850.03,      7.98,     12.77,          20.92,  +3.61,  +2.75
  1,     UK0001,       0,  0.065768, 2459461.668616450857,  91.40627,  29.99780,              100.84801,  48.29269,       100.85702,       48.28438,     91.40627,     +29.99780,      91.40848,      +29.98771,  2974962.65,  2847839.52,  4996445.84,      50.688496,       -0.453093,  109533.14,  145733.46,    2733.20,             4739.20,   -12.26,  68037.51,           71850.03,     13.83,     22.10,          36.90,  +2.11,  +1.29
  2,     UK0001,       0,  0.105992, 2459461.668616916519,  91.75374,  30.02447,              100.50443,  48.09576,       100.48944,       48.10946,     91.75374,     +30.02447,      91.75079,      +30.04120,  2974285.25,  2845065.67,  4995005.08,      50.696892,       -0.474633,  106893.39,  142620.18,    5931.47,             7937.47,   207.57,  79511.40,           71850.03,    -22.34,    -35.84,          61.07,  +1.60,  +0.83
  3,     UK0001,       0,  0.146172, 2459461.668617381714,  92.04517,  30.07396,              100.18860,  47.94926,       100.17728,       47.95956,     92.04517,     +30.07396,      92.04322,      +30.08657,  2973728.40,  2842785.44,  4993820.71,      50.703796,       -0.492389,  104723.76,  140062.61,    8560.59,            10566.59,  -138.49,  65433.48,           71850.03,    -16.55,    -26.52,          46.04,  +1.69,  +0.96
  4,     UK0001,       0,  0.186400, 2459461.668617847376,  92.40717,  30.11800,               99.81682,  47.75484,        99.79604,       47.77360,     92.40717,     +30.11800,      92.40347,      +30.14108,  2973071.09,  2840093.89,  4992422.71,      50.711949,       -0.513340,  102163.18,  137048.86,   11663.95,            13669.96,   -13.85,  77144.47,           72523.83,    -29.59,    -47.49,          84.21,  +1.83,  +1.15
  5,     UK0001,       0,  0.226564, 2459461.668618312106,  92.68634,  30.18291,               99.49843,  47.62618,        99.49758,       47.62694,     92.68634,     +30.18291,      92.68701,      +30.18385,  2972572.25,  2838051.19,  4991361.71,      50.718137,       -0.529295,  100220.17,  134762.63,   14019.20,            16025.20,  -632.60,  58640.65,           70734.84,     -1.18,     -1.89,           3.41,  +4.31,  +3.66
  0,     UK002B,       1,  0.000000, 2459461.668615773320,  82.03872,  35.91959,              102.74365,  58.34451,       102.73537,       58.32132,     82.03872,     +35.91959,      82.06391,      +35.90786,  2975990.51,  2852048.41,  4998631.96,      50.675761,       -0.420466,  113539.49,  132950.34,       0.00,              113.67,   232.08,      0.00,           75291.45,     51.38,     18.86,          84.91,  +4.73,  +4.11
  1,     UK002B,       0,  0.040048, 2459461.668616237119,  82.17755,  36.10590,              102.33432,  58.37943,       102.32925,       58.36472,     82.17755,     +36.10590,      82.19367,      +36.09844,  2975408.28,  2849664.27,  4997393.62,      50.682974,       -0.438969,  111269.95,  130241.28,    2748.92,             2635.25,  -211.74,  68640.71,           75291.45,     31.90,     11.72,          53.82,  +2.69,  +2.12
  2,     UK002B,       0,  0.080076, 2459461.668616700452,  82.29825,  36.34625,              101.86329,  58.45943,       101.84787,       58.41374,     82.29825,     +36.34625,      82.34846,      +36.32316,  2974750.25,  2846969.74,  4995994.07,      50.691128,       -0.459882,  108705.36,  127182.69,    5855.73,             5742.06,   -68.85,  77615.83,           75291.45,     96.74,     35.35,         167.04,  +1.06,  +0.54
  3,     UK002B,       0,  0.120148, 2459461.668617164250,  82.48183,  36.57787,              101.34205,  58.49371,       101.33252,       58.46398,     82.48183,     +36.57787,      82.51477,      +36.56279,  2974081.09,  2844229.64,  4994570.84,      50.699423,       -0.481169,  106097.88,  124075.20,    9015.08,             8901.41,   123.31,  78841.82,           75291.45,     61.32,     22.45,         108.55,  +1.08,  +0.61
  4,     UK002B,       0,  0.160196, 2459461.668617627583,  82.63475,  36.81995,              100.83465,  58.55239,       100.82214,       58.51184,     82.63475,     +36.81995,      82.67975,      +36.79940,  2973451.40,  2841651.18,  4993231.57,      50.707231,       -0.501233,  103644.64,  121153.38,   11988.07,            11874.40,   130.90,  74235.63,           75512.95,     81.57,     29.80,         147.85,  +0.72,  +0.30
  5,     UK002B,       0,  0.200292, 2459461.668618091848,  82.85178,  37.02990,              100.31265,  58.54978,       100.31488,       58.55756,     82.85178,     +37.02990,      82.84403,      +37.03388,  2972855.69,  2839211.84,  4991964.56,      50.714621,       -0.520243,  101324.15,  118391.49,   14800.63,            14686.96,   -25.49,  70145.78,           74808.55,    -15.27,     -5.61,          28.35,  +2.08,  +1.71
  0,     UK002C,       0,  0.072718, 2459461.668616520241,  80.04190,  13.49228,              127.49753,  41.53710,       127.43994,       41.52444,     80.04190,     +13.49228,      80.08687,      +13.50337,  2974850.97,  2847382.21,  4996208.31,      50.689880,       -0.456639,  109097.91,  162644.94,       0.00,             5266.48,     0.38,      0.00,           73785.43,    102.91,    -75.34,         161.74,  +1.97,  +0.91
  1,     UK002C,       0,  0.112902, 2459461.668616985437,  80.09315,  13.24048,              127.61117,  41.29496,       127.53923,       41.27910,     80.09315,     +13.24048,      80.14961,      +13.25431,  2974210.24,  2844758.50,  4994845.53,      50.697822,       -0.477026,  106601.10,  159701.00,    3025.15,             8291.64,    50.06,  75282.57,           73785.43,    126.77,    -92.64,         202.79,  +1.57,  +0.55
  2,     UK002C,       0,  0.153102, 2459461.668617450632,  80.18724,  13.00318,              127.66638,  41.04400,       127.63648,       41.03746,     80.18724,     +13.00318,      80.21112,      +13.00899,  2973601.34,  2842265.17,  4993550.48,      50.705372,       -0.496429,  104228.77,  156906.07,    5899.97,            11166.46,   -51.78,  71512.92,           73785.43,     51.84,    -38.04,          84.53,  +1.22,  +0.24
  3,     UK002C,       0,  0.193294, 2459461.668617915828,  80.22905,  12.72899,              127.80371,  40.78696,       127.74169,       40.77331,     80.22905,     +12.72899,      80.27835,      +12.74099,  2972960.17,  2839639.65,  4992186.77,      50.713325,       -0.516874,  101731.10,  153966.74,    8927.21,            14193.69,    -0.61,  75319.35,           73785.43,    106.09,    -77.56,         176.06,  +1.94,  +1.00
  0,     UK002D,       0,  0.053006, 2459461.668616292998,  80.02840,  13.62761,              127.42034,  41.66020,       127.38788,       41.65310,     80.02840,     +13.62761,      80.05370,      +13.63389,  2975195.62,  2848793.47,  4996941.32,      50.685609,       -0.445691,  110441.09,  164230.07,       0.00,             3639.30,  -167.16,      0.00,           75418.70,     58.39,    -42.87,          90.98,  +4.55,  +3.47
  1,     UK002D,       0,  0.093230, 2459461.668616758194,  80.16955,  13.37382,              127.43555,  41.37189,       127.49632,       41.38497,     80.16955,     +13.37382,      80.12266,      +13.36184,  2974483.49,  2845877.41,  4995426.70,      50.694435,       -0.468319,  107665.85,  160957.18,    3362.23,             7001.52,   216.63,  83587.60,           75418.70,   -107.06,     79.33,         170.76,  +1.55,  +0.52
  2,     UK002D,       0,  0.133438, 2459461.668617223855,  80.18951,  13.12678,              127.58057,  41.14936,       127.59068,       41.15155,     80.18951,     +13.12678,      80.18208,      +13.12480,  2973885.55,  2843428.97,  4994154.97,      50.701848,       -0.487367,  105336.05,  158211.07,    6185.30,             9824.59,    62.45,  70211.60,           75418.70,    -17.61,     12.97,          28.51,  +1.28,  +0.28
  3,     UK002D,       0,  0.173658, 2459461.668617689051,  80.27476,  12.87220,              127.65703,  40.88786,       127.69305,       40.89565,     80.27476,     +12.87220,      80.24725,      +12.86511,  2973253.56,  2840841.05,  4992810.78,      50.709685,       -0.507511,  102873.94,  155312.15,    9169.18,            12808.48,    68.20,  74189.15,           75418.70,    -61.77,     45.61,         101.97,  +1.47,  +0.51
  4,     UK002D,       0,  0.213842, 2459461.668618154246,  80.33961,  12.66187,              127.72578,  40.67448,       127.77740,       40.68562,     80.33961,     +12.66187,      80.30001,      +12.65166,  2972750.93,  2838782.86,  4991741.75,      50.715920,       -0.523582,  100916.10,  153007.67,   11542.28,            15181.58,  -534.18,  59055.78,           71852.22,    -87.41,     64.61,         146.53,  +3.38,  +2.46

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.