2010年1月22日 21:08:37JST出現の火球(-4.4等)の軌道
報告:上田 昌良
速度が遅く、低空まで到達した火球が同時観測されたので、その軌道など詳細をここにまとめておく。
この火球は、絶対光度-4.4等の散在流星で見かけは特に変わった火球ではない。しかし、消滅点が
29.8kmと低空であり、大気圏への突入時の速度が18.1km/sとかなり遅いという火球であったので、隕
石落下も検討すべきであり、詳細をまとめて報告する。
1.同時流星の撮影状況
記号 |
撮影者 |
撮影地 |
撮影レンズ |
発光点 |
消滅点 |
フレーム数 |
最大測定光度 |
備考 |
M10037 |
三本松高校 |
香川県 |
8mm |
○ |
○ |
69 |
-1.20 |
1/30s |
M10038 |
ada |
千葉県 |
8mm |
○ |
○ |
66, 39 |
-0.29 |
1/60s、経路が途中で雲に隠される |
M10039 |
SonotaCo |
東京都 |
12mm |
○ |
○ |
152 |
-2.03 |
1/60s、消滅点は雲に隠れる |
この火球の画像は次のところを参照のこと。
http://sonotaco.jp/forum/viewtopic.php?t=2251
上記の表のとおり、3カ所での同時観測があった。撮影は、ワテックの超高感度のCCTVカメラに観測用ソフトである
UFOCaptureV2を使ったものである。
2.対地軌道
火球の出現位置は、上図のとおり、能登半島の北、日本海の上空である。
発光点の高さは75.8kmで、消滅点は29.8kmであった。突入角が70°と大きな角度で地球大気圏に突入
してきた。この火球に伴う隕石が落下していたとしても、その落下地点は日本海であることがわかる。火
球の実経路長は42kmで、火球としては短いものであった。
3.軌道等
|
No. |
|
|
年月日 |
(YYYYMMDD) |
20100122 |
|
時刻UT |
(hhmmss) |
120837 |
|
視輻射点 |
αo |
99.9 |
±0.49° |
|
δo |
+27.1 |
±0.37° |
修正輻射点 |
αG |
100.6 |
|
|
δG |
+25.9 |
|
観測速度 |
V∞(Km/s) |
18.1 |
±5.6km/s |
消滅点での速度 |
V (km/s) |
15.7 |
±6.9km/s |
地心速度 |
VG(Km/s) |
14.1 |
|
日心速度 |
VH(Km/s) |
37.9 |
|
交差角 |
Q(deg) |
76.8 |
|
絶対光度 |
(Mag). |
-4.4 |
|
発光点 |
Hb(Km) |
75.8 |
λ:136.785° φ:+37.675° |
|
* |
|
|
消滅点 |
He(Km) |
29.8 |
λ:136.619° φ:+37.740° |
|
* |
|
|
a :軌道長半径 |
(AU) |
2.43 |
|
e :離心率 |
|
0.655 |
|
q :近日点距離 |
(AU) |
0.840 |
|
Ω :昇交点黄経 |
(deg) |
302.22 |
|
i :軌道傾斜角 |
(deg) |
1.10 |
|
ω :近日点引数 |
(deg) |
230.91 |
|
P :周期(年) |
(yr) |
3.80 |
|
流星群名 |
|
Spo |
|
継続時間 |
(sec) |
2.5 |
|
太陽黄経 |
|
302.222 |
|
突入角 |
(deg) |
70 |
|
測光質量 |
g |
120 |
|
(J2000.0) |
|
|
|
この火球は散在流星であった。
4.速度の減速と光度曲線
観測データを組み合わせて計算をし、3カ所全部の速度と光度をグラフにしたものである。3カ所の速度を
表示するために、各フレームごとの高さに対する速度を示してある。速度については、ばらつきが大きい
ものの減速が確認できる。発光点の速度は18.1km/sで、消滅点では15.7km/sに減速していた。
この火球の最大光度になった地点は60km付近である。ゆるやかな光度曲線であり、最大光度の地点を
正確に決定するのが困難であった。
5.観測地から同時流星の最大光度地までの距離
記号 |
撮影者 |
撮影地 |
流星までの距離(km) |
M10037 |
三本松高校 |
香川県 |
446 |
M10038 |
ada |
千葉県 |
385 |
M10039 |
SonotaCo |
東京都 |
353 |
この火球までの観測地からの距離は遠いものであった。最も遠かったのは三本松高校の446kmであった。
このあたりが観測の限界に近いものであろう。
6.火球の動画を手動で測定
撮影された流星の位置測定はAnalyzerV2ソフトで自動的に測定処理がされるのであるが、手動で測定す
ればどうかをみてみるために動画を手動測定した。
上のグラフ中の点はM10037で、火球の天球上の測定位置の(α、δ)である。
青:AnalyzerV2による自動測定位置(M***A.XMLファイルにある位置)
赤:手動測定の位置、AnalyzerV2とM***A.XML, 動画、静止画を使い、動画をコマ送りし、1フレームごとにマウスでカーソル
を火球にあわせて位置を読み取った。チェック用に恒星の位置を測り、星表の位置と比較をした。位置は、2′の差で合っ
ていた。 しかし、グラフにあるように手動での流星位置はあきらかにズレていた。
水色:手動測定(2回目)、PROF(プロファイル)を作成して、(M**A.XML削除)自動位置測定をした後に、再度、手動測定を
行った。 今度は、流星位置がズレなかった。恒星も測ったが2′の誤差であっていた。
注)もともと、AnalyzerV2ソフトは、このような手動測定を想定して作られていないので、使用に当たっては自己責任で十分
注意して使用のこと。
7.3カ所での撮影データからの対地軌道の一致
撮影データの組み合わせで計算をし、それぞれの写っていた流星のある高さの対地経路がどれほど一致しているのかを
調べてみた。
高さ68.8km付近の対地軌道
M10037e M10038d M10039
λ 136.757° 136.757 136.760
φ +37.680° +37.683 +37.685
h 68.88km 68.41km 68.61km
観測地から火球までの距離が遠かったにもかかわらず対地軌道はよく一致している。これらから隕石落下の予報がさら
に精度のよいものになることが期待される。(今回の火球からの隕石落下は望みが薄いものであるが)
次表はM10037で写った火球の各フレームごとの対地軌道数値である。有効数字の桁数は無視して表示してある。
表中のλは東経、φは北緯、hは高さ、Vobsは速度、Rangeは観測地から流星までの距離、Abs Magは絶対光度
No. |
λ |
φ |
h |
V obs. |
Range |
Abs Mag |
1 |
136.7566258 |
37.68036748 |
68.87892701 |
30.46276336 |
447.0415442 |
-1.551739365 |
2 |
136.757102 |
37.67962023 |
67.86760035 |
20.96732858 |
446.8055399 |
-2.350592688 |
3 |
136.7528406 |
37.68178099 |
67.3342961 |
15.21772714 |
446.7244394 |
-3.450198505 |
4 |
136.7530814 |
37.68140594 |
66.82911227 |
20.93613207 |
446.6078787 |
-3.049631843 |
5 |
136.7488286 |
37.68356172 |
66.29630375 |
15.17596998 |
446.5284103 |
-3.049245422 |
6 |
136.7490687 |
37.6831877 |
65.79250507 |
32.86110879 |
446.4132523 |
-3.048685335 |
7 |
136.7403199 |
37.68787513 |
65.23302374 |
34.02325079 |
446.3732057 |
-3.048490529 |
8 |
136.7452904 |
37.6845994 |
64.25472858 |
20.88585311 |
446.108412 |
-3.847202005 |
9 |
136.7410417 |
37.68675289 |
63.72356966 |
20.84595966 |
446.0330026 |
-3.046834912 |
10 |
136.7367979 |
37.68890393 |
63.19368326 |
15.11715018 |
445.9588811 |
-2.846474028 |
11 |
136.7370347 |
37.68853252 |
62.69181571 |
15.10650239 |
445.8474208 |
-2.545931235 |
12 |
136.737269 |
37.6881626 |
62.19028199 |
33.25450896 |
445.7365984 |
-2.245391414 |
13 |
136.7332672 |
37.68993968 |
61.16041071 |
47.36125629 |
445.5551147 |
-4.444507109 |
14 |
136.7295005 |
37.69134461 |
59.62631613 |
20.80902368 |
445.2675995 |
-3.243105413 |
15 |
136.7252661 |
37.69348939 |
59.09686211 |
15.11575937 |
445.1993228 |
-2.842772417 |
16 |
136.7255015 |
37.69311853 |
58.59502842 |
32.64076664 |
445.0922108 |
-3.642249913 |
17 |
136.716798 |
37.69777818 |
58.0394389 |
15.09336826 |
445.0662316 |
-3.242123164 |
18 |
136.7170351 |
37.69740675 |
57.53836503 |
15.07477085 |
444.9603364 |
-3.041606441 |
19 |
136.7172734 |
37.69703483 |
57.03792292 |
20.73476952 |
444.8551009 |
-3.441092816 |
20 |
136.713045 |
37.69917637 |
56.51099186 |
15.07173014 |
444.7915144 |
-3.440782408 |
21 |
136.7132806 |
37.698806 |
56.01062641 |
15.05324809 |
444.6874024 |
-3.940274074 |
22 |
136.7135176 |
37.69843509 |
55.51088951 |
33.08738468 |
444.583946 |
-2.939768823 |
23 |
136.7095301 |
37.70020403 |
54.48620745 |
20.67290876 |
444.420458 |
-3.638970155 |
24 |
136.7053053 |
37.70234383 |
53.96149577 |
20.65497485 |
444.3609775 |
-3.138679509 |
25 |
136.7010859 |
37.7044803 |
53.43700952 |
30.07667283 |
444.3025271 |
-2.438393859 |
26 |
136.701557 |
37.70374033 |
52.43850254 |
14.57313422 |
444.1017578 |
-3.437412403 |
27 |
136.6971069 |
37.70624316 |
52.41197848 |
30.18468013 |
444.1446951 |
-2.137622338 |
28 |
136.6975751 |
37.70550297 |
51.40984589 |
15.09324139 |
443.9454181 |
-3.636647832 |
29 |
136.6978122 |
37.70513113 |
50.90877548 |
20.69495868 |
443.8465689 |
-2.736164277 |
30 |
136.6935947 |
37.70726479 |
50.38209651 |
15.06320832 |
443.7919168 |
-2.935896881 |
31 |
136.6938286 |
37.70689517 |
49.8819992 |
15.04520168 |
443.694376 |
-3.235419561 |
32 |
136.6940642 |
37.70652485 |
49.38251682 |
33.05983013 |
443.5974798 |
-2.634945293 |
33 |
136.6900866 |
37.70828623 |
48.35818592 |
20.62836068 |
443.4494404 |
-3.334220498 |
34 |
136.6858806 |
37.71041345 |
47.83319302 |
15.00596929 |
443.3986889 |
-2.533971965 |
35 |
136.6861144 |
37.71004462 |
47.33500273 |
14.99621083 |
443.3042196 |
-3.333509268 |
36 |
136.6863464 |
37.70967696 |
46.83712152 |
15.00650269 |
443.2103722 |
-2.533049519 |
37 |
136.6865807 |
37.70930779 |
46.33891755 |
20.57347641 |
443.1169846 |
-3.132591926 |
38 |
136.6823771 |
37.7114343 |
45.81601198 |
20.55252495 |
443.0692423 |
-2.932357955 |
39 |
136.6781746 |
37.71356019 |
45.29387933 |
33.03212253 |
443.0226661 |
-3.532129674 |
40 |
136.674206 |
37.71531506 |
44.27000983 |
20.65829581 |
442.885274 |
-3.031456143 |
41 |
136.670008 |
37.71743517 |
43.74258494 |
15.12632656 |
442.8403314 |
-3.331235778 |
42 |
136.670242 |
37.71706415 |
43.24038289 |
33.13594938 |
442.749495 |
-3.230790314 |
43 |
136.6662793 |
37.71881291 |
42.21242589 |
20.61335806 |
442.6166912 |
-2.930138878 |
44 |
136.6620816 |
37.72093303 |
41.68680801 |
33.06243753 |
442.5752499 |
-2.829935558 |
45 |
136.6581245 |
37.72267904 |
40.66121021 |
15.06137224 |
442.4470694 |
-2.929306556 |
46 |
136.6583545 |
37.72231111 |
40.16113843 |
20.5459441 |
442.3599449 |
-2.928878919 |
47 |
136.6541689 |
37.72442451 |
39.63722249 |
15.053572 |
442.3218262 |
-3.228691792 |
48 |
136.6544005 |
37.72405576 |
39.13742411 |
15.03642894 |
442.2358249 |
-2.328269548 |
49 |
136.6546343 |
37.72368604 |
38.63821583 |
20.52188297 |
442.1504484 |
-3.327850291 |
50 |
136.6504483 |
37.72579974 |
38.11529111 |
20.50305849 |
442.1146234 |
-3.427674341 |
51 |
136.6462634 |
37.72791288 |
37.59305991 |
14.4174322 |
442.0799389 |
-2.82750398 |
52 |
136.6506798 |
37.72543172 |
37.61698352 |
20.49615041 |
442.0305157 |
-1.727261202 |
53 |
136.6464981 |
37.72754295 |
37.09471784 |
14.9813581 |
441.9963258 |
-2.727093238 |
54 |
136.6467273 |
37.72717657 |
36.59730516 |
33.46845206 |
441.9134807 |
-3.126686192 |
55 |
136.642778 |
37.72890916 |
35.55653287 |
15.28061152 |
441.7957382 |
-3.326107553 |
56 |
136.6430056 |
37.72853881 |
35.04913189 |
20.6892962 |
441.7130068 |
-2.925700881 |
57 |
136.6388258 |
37.73064402 |
34.51791399 |
15.27367487 |
441.681132 |
-2.325544178 |
58 |
136.6390549 |
37.73027291 |
34.01075645 |
20.66566816 |
441.5995556 |
-2.92514308 |
59 |
136.6348789 |
37.73237591 |
33.48015046 |
15.24677796 |
441.5693489 |
-3.12499454 |
60 |
136.6351055 |
37.73200654 |
32.97386845 |
15.23006069 |
441.4890713 |
-2.724599729 |
61 |
136.6353344 |
37.73163612 |
32.46816296 |
14.36575175 |
441.4094235 |
-1.324207945 |
62 |
136.6309294 |
37.73410987 |
32.44449863 |
15.23255905 |
441.4606718 |
-2.924460041 |
63 |
136.6311615 |
37.73373758 |
31.93873717 |
20.61300856 |
441.3815352 |
-2.024070746 |
64 |
136.6269893 |
37.73583863 |
31.40994825 |
15.21381341 |
441.3547868 |
-2.423939148 |
65 |
136.6272153 |
37.73547002 |
30.90475937 |
14.32320257 |
441.276942 |
-2.223556116 |
66 |
136.6228217 |
37.73793671 |
30.88114871 |
15.18863189 |
441.3290296 |
-1.623812418 |
67 |
136.6230509 |
37.73756669 |
30.37682601 |
14.3295911 |
441.251831 |
-1.223432545 |
68 |
136.6186548 |
37.74003439 |
30.35297185 |
15.17126183 |
441.3044064 |
-1.223691261 |
69 |
136.6188833 |
37.739665 |
29.84922231 |
|
441.2278576 |
-1.223314564 |
次表はM10038で、雲により経路が途中でとぎれている。
No. |
λ |
φ |
h |
V obs. |
Range |
Abs Mag |
1 |
136.7573632 |
37.68290529 |
68.41250646 |
19.69269822 |
383.9918986 |
-1.331610252 |
2 |
136.7574787 |
37.68481564 |
68.16513501 |
13.30611336 |
384.0566618 |
-1.961976457 |
3 |
136.7564713 |
37.68463449 |
67.96332031 |
13.30887646 |
384.0748393 |
-1.922079231 |
4 |
136.755464 |
37.68445398 |
67.76144354 |
13.31161929 |
384.0931642 |
-1.882182833 |
5 |
136.7544568 |
37.6842741 |
67.55950528 |
23.60522186 |
384.1116362 |
-1.842287262 |
6 |
136.7533477 |
37.68510088 |
67.19051019 |
21.39061612 |
384.1687652 |
-2.352610202 |
7 |
136.752582 |
37.68618214 |
66.86274765 |
17.13782252 |
384.2267718 |
-2.442938053 |
8 |
136.7513387 |
37.68605614 |
66.59982037 |
5.181994638 |
384.2536801 |
-1.793090121 |
9 |
136.7510405 |
37.68615399 |
66.5184206 |
15.9180129 |
384.2647855 |
-2.493152878 |
10 |
136.7499895 |
37.68622792 |
66.2703694 |
18.10836332 |
384.2942698 |
-2.723319487 |
11 |
136.7487768 |
37.68628192 |
65.98865911 |
25.28626146 |
384.3273772 |
-1.613506554 |
12 |
136.7481585 |
37.68792296 |
65.61429249 |
24.52270798 |
384.4030368 |
-2.303933993 |
13 |
136.7468837 |
37.68860102 |
65.22938482 |
21.84390657 |
384.4611064 |
-2.504262001 |
14 |
136.7454508 |
37.68871998 |
64.88874419 |
29.7817972 |
384.5032439 |
-1.814499984 |
15 |
136.7431712 |
37.68826825 |
64.43851916 |
15.70364994 |
384.5473259 |
-1.014748922 |
16 |
136.743865 |
37.68765351 |
64.68307013 |
14.63612586 |
384.5061679 |
-1.854516497 |
17 |
136.7447153 |
37.68957849 |
64.59993306 |
45.39658374 |
384.5543599 |
-2.224788641 |
18 |
136.7419554 |
37.6901994 |
63.88801623 |
30.02001767 |
384.6515236 |
-2.415337228 |
19 |
136.7392899 |
37.688899 |
63.47205541 |
5.751831571 |
384.6758636 |
-1.585474631 |
20 |
136.7394181 |
37.68953787 |
63.4097293 |
5.783559105 |
384.6961394 |
-2.035589083 |
21 |
136.7395484 |
37.6901813 |
63.34721549 |
31.18130687 |
384.7165517 |
-2.4857043 |
22 |
136.7384075 |
37.69172883 |
62.86865127 |
25.8218462 |
384.8059608 |
-2.726208897 |
23 |
136.7367052 |
37.69185684 |
62.46618076 |
18.56534902 |
384.8582688 |
-2.466504053 |
24 |
136.7353611 |
37.69172881 |
62.18116485 |
11.82819043 |
384.8912458 |
-1.25669011 |
25 |
136.7349112 |
37.69028618 |
62.28565454 |
8.430593759 |
384.8495158 |
-2.706454666 |
26 |
136.7350997 |
37.68971702 |
62.4094584 |
67.04839513 |
384.8227844 |
-3.216303832 |
27 |
136.7353922 |
37.69613959 |
61.55842323 |
32.86961088 |
385.057695 |
-1.887628977 |
28 |
136.7322629 |
37.69407985 |
61.14655434 |
6.73796539 |
385.0689726 |
-2.307692574 |
29 |
136.7316085 |
37.69360765 |
61.06634189 |
6.73802471 |
385.0698462 |
-2.537697501 |
30 |
136.7309541 |
37.69313547 |
60.98612536 |
6.738083781 |
385.0707541 |
-2.757702621 |
31 |
136.7302997 |
37.69266331 |
60.90590545 |
45.47642769 |
385.0716961 |
-2.987707933 |
32 |
136.7295505 |
37.69604456 |
60.25443636 |
11.27836348 |
385.2234384 |
-2.40856346 |
33 |
136.7288473 |
37.69617114 |
60.07780964 |
11.28125974 |
385.2490576 |
-2.338707869 |
34 |
136.7281442 |
37.6962983 |
59.90113325 |
11.28416262 |
385.2747847 |
-2.278852875 |
35 |
136.7274412 |
37.69642603 |
59.72440713 |
14.79508745 |
385.3006198 |
-2.208998481 |
36 |
136.7261855 |
37.69593408 |
59.51147961 |
39.78675766 |
385.3190126 |
-3.009102137 |
37 |
136.7242277 |
37.69720889 |
58.88833061 |
18.8850439 |
385.4276176 |
-2.639714096 |
38 |
136.7238886 |
37.69858242 |
58.61605307 |
23.33470003 |
385.4916833 |
-2.190075008 |
39 |
136.7219025 |
37.69779443 |
58.28081453 |
42.07510066 |
385.5214867 |
-0.890242884 |
40 |
136.7225046 |
37.69456194 |
58.87742412 |
39.08131846 |
385.3765554 |
-2.969426396 |
41 |
136.7213535 |
37.69686712 |
58.2892995 |
39.22413658 |
385.5019116 |
-2.910132623 |
42 |
136.719468 |
37.69819131 |
57.67565674 |
26.39783124 |
385.6123407 |
-2.520754564 |
43 |
136.7181884 |
37.69906735 |
57.2625171 |
17.43485841 |
385.6869851 |
-2.491174863 |
44 |
136.7194499 |
37.69918272 |
57.53027233 |
27.23881488 |
385.6521283 |
-2.190978605 |
45 |
136.719386 |
37.70161887 |
57.16869013 |
27.27953956 |
385.7508505 |
-1.806534405 |
46 |
136.7193265 |
37.70406345 |
56.80695642 |
44.05704672 |
385.8502678 |
-1.422093973 |
47 |
136.715105 |
37.69867527 |
56.62383156 |
48.38044678 |
385.7686885 |
-2.831634816 |
48 |
136.7137908 |
37.70167013 |
55.90125367 |
36.62312629 |
385.930728 |
-2.742546737 |
49 |
136.7160446 |
37.70120384 |
56.47522401 |
32.8302658 |
385.839863 |
-2.562035417 |
50 |
136.7151208 |
37.70319655 |
55.98331076 |
32.86323088 |
385.949399 |
-2.177651788 |
51 |
136.7141976 |
37.70519381 |
55.49100073 |
35.23825688 |
386.0598227 |
-1.793272978 |
52 |
136.7108615 |
37.70306468 |
55.04316145 |
5.266522896 |
386.0821829 |
-2.523398743 |
53 |
136.7113395 |
37.70374266 |
55.05422038 |
14.93170482 |
386.0940583 |
-2.533465535 |
54 |
136.7107749 |
37.70446329 |
54.82452379 |
20.46678107 |
386.1418608 |
-1.443734369 |
55 |
136.7098736 |
37.70527571 |
54.50601561 |
20.47064293 |
386.2046769 |
-1.574087587 |
56 |
136.7089753 |
37.70609284 |
54.18752449 |
33.02221922 |
386.2678742 |
-1.70444289 |
57 |
136.7063214 |
37.70534186 |
53.69722568 |
24.35282775 |
386.3257256 |
-2.594768088 |
58 |
136.7049891 |
37.70592321 |
53.31473934 |
10.51112221 |
386.3945627 |
-1.945154976 |
59 |
136.7047373 |
37.70661579 |
53.1595542 |
10.51419875 |
386.4316881 |
-1.805363604 |
60 |
136.7044857 |
37.70730898 |
53.00434206 |
10.51734187 |
386.4689052 |
-1.655572728 |
61 |
136.7042344 |
37.7080028 |
52.84910214 |
34.4923276 |
386.5062143 |
-1.515782348 |
62 |
136.7014534 |
37.70720088 |
52.33766447 |
37.15131478 |
386.5681668 |
-1.706130382 |
63 |
136.6977541 |
37.70416893 |
51.93688868 |
11.50254318 |
386.5698298 |
-0.746139724 |
64 |
136.6979328 |
37.70538764 |
51.80375923 |
11.5051139 |
386.6144556 |
-0.976390385 |
65 |
136.6981118 |
37.70660697 |
51.67064128 |
11.50776013 |
386.6591813 |
-1.196641579 |
66 |
136.6982913 |
37.70782694 |
51.53753408 |
|
386.7040073 |
-1.426893306 |
No. |
λ |
φ |
h |
V obs. |
Range |
Abs Mag |
1 |
136.6707448 |
37.7154649 |
44.23261698 |
55.50026715 |
388.0551798 |
-1.814467367 |
2 |
136.6701915 |
37.72001384 |
43.46360754 |
43.84017678 |
388.2809532 |
-2.195730379 |
3 |
136.6668793 |
37.71947465 |
42.79722423 |
9.453761389 |
388.3896492 |
-1.016338179 |
4 |
136.6676597 |
37.72073843 |
42.79312626 |
9.478128074 |
388.4152963 |
-1.136481567 |
5 |
136.6684429 |
37.72200519 |
42.78925382 |
28.91249623 |
388.4410249 |
-1.2566254 |
6 |
136.6660671 |
37.72124635 |
42.36408742 |
34.56606904 |
388.5027952 |
-2.136970682 |
7 |
136.6647448 |
37.72290826 |
41.83221189 |
12.34501017 |
388.6323507 |
-1.917694691 |
8 |
136.6658617 |
37.72450567 |
41.85630084 |
12.33136952 |
388.6595628 |
-1.592846732 |
9 |
136.666978 |
37.72610087 |
41.88054195 |
39.94911858 |
388.6868119 |
-1.26799897 |
10 |
136.6632233 |
37.72381084 |
41.3633349 |
21.1568269 |
388.7361101 |
-2.458274366 |
11 |
136.6614961 |
37.72328213 |
41.05113059 |
29.7731128 |
388.7832394 |
-2.278537614 |
12 |
136.6588611 |
37.72204861 |
40.63531905 |
54.94223743 |
388.8360995 |
-1.628832833 |
13 |
136.6642424 |
37.72856629 |
40.91829469 |
35.91200894 |
388.912506 |
-1.289259486 |
14 |
136.6606957 |
37.72583919 |
40.50971702 |
29.06375417 |
388.9341916 |
-2.159380564 |
15 |
136.6579446 |
37.72411087 |
40.13803079 |
24.08281664 |
388.9695332 |
-2.389577872 |
16 |
136.6565314 |
37.72454493 |
39.75999305 |
12.09222933 |
389.049134 |
-1.670022208 |
17 |
136.656919 |
37.72598028 |
39.64367735 |
12.10802666 |
389.0993495 |
-1.790302467 |
18 |
136.6573111 |
37.72742017 |
39.52772005 |
26.21384003 |
389.1496846 |
-1.910583357 |
19 |
136.6550418 |
37.72646509 |
39.15461388 |
25.02120316 |
389.2015482 |
-2.510872739 |
20 |
136.6527604 |
37.7252482 |
38.81588935 |
14.09766534 |
389.2421833 |
-1.401099443 |
21 |
136.6536955 |
37.7271412 |
38.75747491 |
14.10555096 |
389.2905933 |
-1.646369491 |
22 |
136.6546332 |
37.72903566 |
38.69943004 |
28.23138117 |
389.3390979 |
-1.891640035 |
23 |
136.6518542 |
37.72694126 |
38.37344758 |
28.67238452 |
389.360302 |
-2.211758294 |
24 |
136.6497599 |
37.72673549 |
37.93366799 |
7.668112529 |
389.4411238 |
-1.522208992 |
25 |
136.6503053 |
37.7277701 |
37.90945129 |
7.681020507 |
389.4661474 |
-1.697348516 |
26 |
136.6508547 |
37.72880666 |
37.885849 |
29.68483949 |
389.4911314 |
-1.87248781 |
27 |
136.6485931 |
37.7284105 |
37.43560168 |
20.74709978 |
389.5708008 |
-1.942931934 |
28 |
136.6474511 |
37.72890672 |
37.10984311 |
5.830481016 |
389.6442074 |
-1.193341065 |
29 |
136.6473385 |
37.72932553 |
37.02543761 |
5.81886844 |
389.6689837 |
-1.603479137 |
30 |
136.6472236 |
37.72974054 |
36.94104321 |
24.43708472 |
389.6937055 |
-2.013616898 |
31 |
136.645619 |
37.72989688 |
36.55986754 |
10.16329353 |
389.7717994 |
-1.764052014 |
32 |
136.644899 |
37.72986696 |
36.40299053 |
10.16573062 |
389.8022065 |
-1.604221409 |
33 |
136.644179 |
37.72983739 |
36.24606886 |
10.16817908 |
389.8327007 |
-1.434391277 |
34 |
136.643459 |
37.72980816 |
36.08910239 |
12.81632626 |
389.8632821 |
-1.274561616 |
35 |
136.6427158 |
37.73005547 |
35.88788909 |
12.83753351 |
389.9081751 |
-1.284811649 |
36 |
136.6419702 |
37.73030141 |
35.68634788 |
12.81377431 |
389.9532186 |
-1.28506249 |
37 |
136.6412288 |
37.73055143 |
35.48517019 |
12.83799269 |
389.9983815 |
-1.295313967 |
38 |
136.6404853 |
37.73080094 |
35.2836152 |
20.67234726 |
390.0437218 |
-1.305566402 |
39 |
136.6406922 |
37.73290234 |
35.03301256 |
|
390.1354316 |
-1.466076914 |
次表は、M10039での各フレームごとの対地軌道数値である。
No. |
λ |
φ |
h |
V obs. |
Range |
Abs Mag |
1 |
136.7845125 |
37.67463844 |
75.77560651 |
17.02370613 |
351.2418044 |
-0.498030942 |
2 |
136.7836195 |
37.67509104 |
75.50827192 |
15.41609527 |
351.2688642 |
-0.598198226 |
3 |
136.7826329 |
37.67521215 |
75.26732876 |
20.35331819 |
351.2852022 |
-0.688299222 |
4 |
136.781734 |
37.67600252 |
74.95023479 |
20.37718007 |
351.325121 |
-0.578545967 |
5 |
136.7808377 |
37.67679937 |
74.63285947 |
8.378829588 |
351.3655625 |
-0.468795913 |
6 |
136.7804785 |
37.67714023 |
74.50258416 |
17.13943442 |
351.3826522 |
-0.428901527 |
7 |
136.7794457 |
37.67738384 |
74.23368529 |
17.12108704 |
351.4048674 |
-0.389038808 |
8 |
136.7784138 |
37.67762702 |
73.965077 |
17.12755837 |
351.4272835 |
-0.349177322 |
9 |
136.7773824 |
37.67787196 |
73.69635756 |
17.18019961 |
351.4499873 |
-0.309317604 |
10 |
136.7763483 |
37.6781186 |
73.42680759 |
17.14060954 |
351.4730192 |
-0.279459904 |
11 |
136.7753179 |
37.67836711 |
73.15786455 |
17.16289332 |
351.4962995 |
-0.23960373 |
12 |
136.7742889 |
37.67862047 |
72.88854483 |
7.969205133 |
351.5199729 |
-0.199749975 |
13 |
136.7738225 |
37.67875698 |
72.76339596 |
28.55693364 |
351.5315909 |
-1.659821742 |
14 |
136.7724927 |
37.67977 |
72.31713246 |
12.2187557 |
351.5885325 |
-0.890173452 |
15 |
136.7717957 |
37.68000852 |
72.12516202 |
12.2241176 |
351.6075563 |
-1.080290943 |
16 |
136.7711008 |
37.68025114 |
71.93310075 |
15.70048601 |
351.6268202 |
-1.270409911 |
17 |
136.7699951 |
37.68019585 |
71.69078443 |
19.59893833 |
351.6409193 |
-1.130496978 |
18 |
136.7695489 |
37.68150418 |
71.40232912 |
20.28211771 |
351.6973925 |
-1.410845686 |
19 |
136.7684334 |
37.68196657 |
71.0836459 |
19.60887333 |
351.7318641 |
-1.571058512 |
20 |
136.7669994 |
37.68179736 |
70.78343701 |
14.94605839 |
351.7472679 |
-2.291153609 |
21 |
136.7662287 |
37.68221766 |
70.54886632 |
21.68431235 |
351.7753641 |
-2.06132705 |
22 |
136.7650645 |
37.68275712 |
70.20824155 |
11.54935514 |
351.8144381 |
-2.051568237 |
23 |
136.7642858 |
37.68278065 |
70.02874077 |
17.94625733 |
351.8276961 |
-1.931650066 |
24 |
136.7635573 |
37.68357023 |
69.75087779 |
22.42048706 |
351.8700257 |
-1.921911308 |
25 |
136.7622698 |
37.68399651 |
69.39867043 |
11.19870432 |
351.9075469 |
-2.142142848 |
26 |
136.7618108 |
37.68448341 |
69.22516019 |
16.8936266 |
351.9341197 |
-1.922306811 |
27 |
136.7608584 |
37.68483322 |
68.95972956 |
22.15082207 |
351.9636189 |
-1.912488817 |
28 |
136.7596618 |
37.68537416 |
68.61176048 |
15.07739208 |
352.0049898 |
-2.602744043 |
29 |
136.7585626 |
37.68525197 |
68.38073122 |
20.24797567 |
352.018865 |
-2.722829636 |
30 |
136.7576546 |
37.68602352 |
68.06507325 |
11.03238885 |
352.0650065 |
-2.443114247 |
31 |
136.7568604 |
37.68595382 |
67.89553113 |
17.88159019 |
352.0760399 |
-2.373182298 |
32 |
136.7559207 |
37.6864316 |
67.61477436 |
21.03079984 |
352.1115161 |
-2.61340109 |
33 |
136.7546996 |
37.68681144 |
67.28446932 |
20.30119611 |
352.1483473 |
-2.893628217 |
34 |
136.7536378 |
37.68736203 |
66.96576415 |
12.56312365 |
352.1894855 |
-3.063881874 |
35 |
136.7530491 |
37.68780479 |
66.76941673 |
17.52517816 |
352.2179558 |
-3.394057405 |
36 |
136.7520521 |
37.6881548 |
66.49409295 |
24.19660474 |
352.2503211 |
-3.404256932 |
37 |
136.750709 |
37.68869155 |
66.11392947 |
16.00272484 |
352.2969345 |
-3.254544265 |
38 |
136.7499491 |
37.68924141 |
65.8636585 |
12.95615831 |
352.3334981 |
-2.984769623 |
39 |
136.7491167 |
37.68934234 |
65.66121467 |
21.18575536 |
352.3533683 |
-2.664892082 |
40 |
136.7480653 |
37.6900036 |
65.3292145 |
8.677233596 |
352.4004332 |
-2.935182112 |
41 |
136.7474761 |
37.69001549 |
65.19446737 |
21.77833994 |
352.4122882 |
-3.425255161 |
42 |
136.7462728 |
37.69050821 |
64.8523122 |
11.97458312 |
352.4558933 |
-3.905523828 |
43 |
136.745715 |
37.69093593 |
64.66524045 |
33.40972188 |
352.4844228 |
-3.61569959 |
44 |
136.743767 |
37.6915299 |
64.14057974 |
15.72576303 |
352.5476824 |
-3.236089265 |
45 |
136.7430958 |
37.69217941 |
63.89627457 |
11.80856404 |
352.5881092 |
-2.986338254 |
46 |
136.7424433 |
37.69244699 |
63.71075724 |
19.23137587 |
352.6124733 |
-2.526488299 |
47 |
136.7412276 |
37.69263256 |
63.40986654 |
7.637233025 |
352.6451097 |
-2.756689272 |
48 |
136.7407695 |
37.69274759 |
63.29003367 |
17.04101613 |
352.6593642 |
-3.576777045 |
49 |
136.7398243 |
37.69312858 |
63.02231237 |
16.12652854 |
352.6949212 |
-3.666995974 |
50 |
136.738832 |
37.69333055 |
62.76956781 |
25.20548103 |
352.7241847 |
-3.187176136 |
51 |
136.7375363 |
37.69405256 |
62.37411447 |
19.98153057 |
352.7819841 |
-3.827531936 |
52 |
136.7363647 |
37.69439871 |
62.06037596 |
6.91353487 |
352.8217068 |
-4.577776427 |
53 |
136.7367881 |
37.69430869 |
62.16875447 |
48.99804632 |
352.8087948 |
-3.807696958 |
54 |
136.7342377 |
37.69566561 |
61.39975665 |
14.52463735 |
352.9217373 |
-2.278391986 |
55 |
136.7333 |
37.69577334 |
61.17289404 |
1.879420462 |
352.9470457 |
-2.408547699 |
56 |
136.7331106 |
37.69559686 |
61.15537809 |
24.80364251 |
352.9437261 |
-2.738527276 |
57 |
136.7319905 |
37.69653679 |
60.76865377 |
11.46106431 |
353.0088764 |
-3.868928073 |
58 |
136.7311578 |
37.69645311 |
60.59282838 |
8.533584527 |
353.0240498 |
-4.399021408 |
59 |
136.7306553 |
37.69659793 |
60.458856 |
46.10996312 |
353.0416368 |
-3.719129584 |
60 |
136.7285151 |
37.69826351 |
59.73879395 |
5.914142344 |
353.1624641 |
-1.729872636 |
61 |
136.7283568 |
37.69758618 |
59.79970004 |
20.28558257 |
353.1368579 |
-3.049715187 |
62 |
136.7271306 |
37.69787928 |
59.48150879 |
9.05167391 |
353.1780575 |
-3.409968512 |
63 |
136.7267398 |
37.6982482 |
59.34080524 |
26.00821139 |
353.2032078 |
-3.87012314 |
64 |
136.7255085 |
37.69915335 |
58.93422996 |
20.56355852 |
353.2716374 |
-3.4905438 |
65 |
136.7243427 |
37.69957641 |
58.61120649 |
17.19840402 |
353.3179184 |
-3.67082826 |
66 |
136.7231422 |
37.69954474 |
58.34523085 |
7.549940986 |
353.3454266 |
-4.570997317 |
67 |
136.7229177 |
37.69998758 |
58.23152275 |
30.25100927 |
353.3702763 |
-4.771150025 |
68 |
136.7209877 |
37.70025541 |
57.75854184 |
15.34027903 |
353.4291625 |
-4.401511852 |
69 |
136.7203127 |
37.70086376 |
57.51979999 |
51.90856323 |
353.4726448 |
-4.261778991 |
70 |
136.7179233 |
37.70277281 |
56.70967636 |
12.22313436 |
353.6170925 |
-3.242666189 |
71 |
136.7168583 |
37.70230041 |
56.53712391 |
2.390041925 |
353.6230501 |
-2.422702773 |
72 |
136.7170169 |
37.7026204 |
56.5272782 |
4.960930172 |
353.6332855 |
-3.672765624 |
73 |
136.7165166 |
37.70214983 |
56.48162533 |
26.39818926 |
353.6250301 |
-4.272714931 |
74 |
136.7151433 |
37.70288724 |
56.06739414 |
9.202487352 |
353.6931588 |
-4.693133243 |
75 |
136.7146221 |
37.70307831 |
55.9228427 |
55.66620427 |
353.7151707 |
-4.183268379 |
76 |
136.7120905 |
37.70517285 |
55.05476394 |
10.02501955 |
353.8757127 |
-2.614253729 |
77 |
136.7123423 |
37.70452677 |
55.20341296 |
4.427835725 |
353.8398625 |
-2.624033732 |
78 |
136.7119285 |
37.70427708 |
55.14581399 |
15.85738651 |
353.839497 |
-4.044031489 |
79 |
136.7110308 |
37.70460761 |
54.89673194 |
21.91817426 |
353.8782162 |
-3.954269091 |
80 |
136.7096328 |
37.70480493 |
54.55402408 |
13.19081898 |
353.9244759 |
-4.114552932 |
81 |
136.7092838 |
37.70563381 |
54.35752192 |
19.99626773 |
353.9715418 |
-3.914841682 |
82 |
136.7080168 |
37.70582865 |
54.04470689 |
17.30684862 |
354.0146922 |
-3.795106376 |
83 |
136.7070824 |
37.70626124 |
53.77293322 |
1.68084921 |
354.0599247 |
-3.705383808 |
84 |
136.7069244 |
37.70605077 |
53.7673288 |
14.0435411 |
354.0546167 |
-4.215351253 |
85 |
136.7061076 |
37.70630927 |
53.54681077 |
36.00793277 |
354.0888592 |
-3.845561257 |
86 |
136.7042517 |
37.70734524 |
52.98199346 |
1.055683004 |
354.187887 |
-3.606168467 |
87 |
136.7043393 |
37.70737518 |
52.99742295 |
35.17137554 |
354.1868256 |
-3.76616196 |
88 |
136.7025055 |
37.70835576 |
52.44554967 |
14.90643574 |
354.283609 |
-3.486755244 |
89 |
136.7016136 |
37.70859032 |
52.21165578 |
4.248180271 |
354.3197621 |
-3.146976822 |
90 |
136.7012208 |
37.70836456 |
52.15542119 |
34.19134121 |
354.3204573 |
-4.046981083 |
91 |
136.6995465 |
37.70948148 |
51.62018345 |
17.19464924 |
354.4204171 |
-3.787593606 |
92 |
136.698474 |
37.70967967 |
51.35091164 |
0.531964893 |
354.4607001 |
-3.487840399 |
93 |
136.6984711 |
37.709628 |
51.35760207 |
15.02976208 |
354.4583681 |
-4.117826112 |
94 |
136.6976608 |
37.71000694 |
51.12160726 |
37.435707 |
354.4996865 |
-4.148079221 |
95 |
136.6957039 |
37.71104552 |
50.53419631 |
15.37067141 |
354.6059867 |
-3.628730261 |
96 |
136.6948619 |
37.71141275 |
50.29280323 |
13.68020963 |
354.6482854 |
-3.638989267 |
97 |
136.6939507 |
37.71147085 |
50.07978458 |
4.893421284 |
354.6782072 |
-4.059172467 |
98 |
136.6937619 |
37.71170288 |
50.00440843 |
34.75685293 |
354.6948347 |
-3.919274264 |
99 |
136.6919859 |
37.71273043 |
49.45943032 |
3.493813801 |
354.7971119 |
-3.499900324 |
100 |
136.6916377 |
37.71244472 |
49.42179133 |
11.17724376 |
354.7940812 |
-3.879881775 |
101 |
136.6910652 |
37.71277323 |
49.24652304 |
40.38288693 |
354.8271329 |
-3.730084054 |
102 |
136.6889962 |
37.71395992 |
48.61328926 |
4.217861756 |
354.9473266 |
-3.310819491 |
103 |
136.6888633 |
37.71346166 |
48.65417717 |
18.4238579 |
354.9275626 |
-3.890698577 |
104 |
136.6880011 |
37.71412431 |
48.36647339 |
18.55483873 |
354.9860458 |
-3.721056352 |
105 |
136.6867319 |
37.7141449 |
48.07852969 |
18.6058929 |
355.0266027 |
-3.921304427 |
106 |
136.6858916 |
37.71485824 |
47.78860675 |
15.93030113 |
355.0873405 |
-3.78167589 |
107 |
136.6851001 |
37.715364 |
47.53910935 |
18.68521938 |
355.1367496 |
-3.491978022 |
108 |
136.6840087 |
37.71570458 |
47.2457537 |
13.94607574 |
355.1878821 |
-3.542290647 |
109 |
136.6831771 |
37.71593135 |
47.02691475 |
38.81477421 |
355.2254251 |
-3.132520157 |
110 |
136.6811278 |
37.71698273 |
46.41778167 |
22.11906746 |
355.3426104 |
-2.593236386 |
111 |
136.6821311 |
37.71613988 |
46.76252079 |
17.06660924 |
355.2691263 |
-4.012787284 |
112 |
136.6810673 |
37.71634089 |
46.49524376 |
17.28815092 |
355.313247 |
-3.833056941 |
113 |
136.6802032 |
37.71688308 |
46.22442692 |
34.80831669 |
355.3677653 |
-3.6733901 |
114 |
136.6783552 |
37.71781121 |
45.67810996 |
1.18150259 |
355.473736 |
-3.304037537 |
115 |
136.6783548 |
37.71770204 |
45.6935083 |
17.69493007 |
355.4683858 |
-3.694004854 |
116 |
136.6773569 |
37.71808289 |
45.41560773 |
34.26439667 |
355.5200437 |
-3.364320397 |
117 |
136.6755867 |
37.71907216 |
44.87823557 |
2.023097648 |
355.6277615 |
-2.804978225 |
118 |
136.6755297 |
37.71883767 |
44.89869421 |
3.255059109 |
355.6180726 |
-3.374919063 |
119 |
136.6753671 |
37.71894001 |
44.84770753 |
32.76038039 |
355.6285756 |
-4.104983196 |
120 |
136.6735381 |
37.71967555 |
44.33321541 |
37.12401108 |
355.7265924 |
-3.415581605 |
121 |
136.6717873 |
37.72099695 |
43.75335187 |
7.680827386 |
355.8519653 |
-2.706346788 |
122 |
136.6720143 |
37.72054098 |
43.86884354 |
5.420777624 |
355.8214572 |
-2.676160614 |
123 |
136.6715496 |
37.72035378 |
43.79117445 |
33.35208615 |
355.827998 |
-3.97620053 |
124 |
136.6698775 |
37.72139534 |
43.26870385 |
14.728805 |
355.9375595 |
-3.556869036 |
125 |
136.6688517 |
37.72138111 |
43.04073465 |
18.75895128 |
355.9723728 |
-2.997081411 |
126 |
136.6679664 |
37.7220487 |
42.74772971 |
1.080262818 |
356.0367415 |
-3.367474032 |
127 |
136.6680746 |
37.72216799 |
42.75509546 |
14.46561433 |
356.0389672 |
-3.567487607 |
128 |
136.6672043 |
37.72239277 |
42.52818016 |
33.86569997 |
356.0807301 |
-3.197742303 |
129 |
136.6651156 |
37.72283451 |
41.9975108 |
2.050174263 |
356.1766444 |
-2.628327134 |
130 |
136.6652789 |
37.72287682 |
42.02810796 |
21.57797144 |
356.173005 |
-3.268304946 |
131 |
136.6642425 |
37.72361899 |
41.69076846 |
14.56162464 |
356.247425 |
-3.668758613 |
132 |
136.6632428 |
37.72363238 |
41.4648754 |
37.35450312 |
356.2837935 |
-3.428980283 |
133 |
136.6604924 |
37.72331859 |
40.89308456 |
9.172147172 |
356.3667762 |
-3.359485986 |
134 |
136.6613519 |
37.72447498 |
40.92197913 |
1.068508662 |
356.3947231 |
-3.209656269 |
135 |
136.6614549 |
37.72454529 |
40.93510824 |
17.47974725 |
356.3945897 |
-3.649655457 |
136 |
136.6605224 |
37.72500764 |
40.66077337 |
34.35458774 |
356.4520059 |
-3.910005259 |
137 |
136.6587776 |
37.72605068 |
40.12238589 |
19.29131792 |
356.5691784 |
-3.230718946 |
138 |
136.6577094 |
37.72650094 |
39.81946385 |
7.32882571 |
356.6316352 |
-3.101099269 |
139 |
136.657662 |
37.72578 |
39.91083778 |
38.28419288 |
356.5962579 |
-3.360883851 |
140 |
136.6558836 |
37.72718777 |
39.31347747 |
4.951878131 |
356.7347389 |
-2.90172696 |
141 |
136.6559634 |
37.7268143 |
39.38416555 |
9.722213934 |
356.71246 |
-2.781591342 |
142 |
136.6553688 |
37.72695056 |
39.23176083 |
9.721350997 |
356.7416444 |
-2.711768994 |
143 |
136.6547777 |
37.72709258 |
39.07933182 |
9.702839811 |
356.7710666 |
-2.631948078 |
144 |
136.654186 |
37.72723161 |
38.92721125 |
9.729948866 |
356.8004238 |
-2.562126752 |
145 |
136.6535917 |
37.72736943 |
38.77467682 |
7.703603845 |
356.8298875 |
-2.492306059 |
146 |
136.6532634 |
37.72769496 |
38.65516364 |
12.90367409 |
356.8591522 |
-2.932484141 |
147 |
136.6524595 |
37.72785147 |
38.45307742 |
12.90728249 |
356.8976342 |
-2.49271829 |
148 |
136.6516576 |
37.72801192 |
38.25090285 |
12.91208183 |
356.9363677 |
-2.062953943 |
149 |
136.6508558 |
37.7281732 |
38.04864765 |
12.89593799 |
356.9752637 |
-1.62319056 |
150 |
136.6500535 |
37.72833181 |
37.8466666 |
12.92099737 |
357.0141635 |
-1.193427173 |
151 |
136.6492521 |
37.72849495 |
37.6442593 |
17.1873036 |
357.0533885 |
-0.753665739 |
152 |
136.6484797 |
37.72916559 |
37.37665478 |
|
357.1182396 |
-0.934060104 |
7.謝辞
今回の同時火球のM**A.XMLファイルを撮影者の方、全員から提供いただきました。さらに、三本松高校の三好氏
には、動画・静止画を提供していただきました。最後になりましたが、お礼もうしあげます。