2022年1月トンガ噴火の衝撃波の解釈

要旨：2022年1月15日に起こった「トンガ噴火の衝撃波」は、各地の気圧に急激な変化をもたらした。この時の気圧変化は、私の自宅の気圧計でも測定できていた。そこでその気圧変化のデータの特徴について、議論した。

１．衝撃波のデータ

2022年1月15日に起こったトンガの噴火による大気圧のパルス変動（衝撃波）は、私の自宅の気圧計でも見えていた。この波動の到達は、日本時間で13:10-20:39まで掛かっていた（26940秒）。

２．衝撃波の速度

私の自宅の場合、Googleによれば（トンガまで）8069km程度だそうだ。そこでこのパルス波面の速度は、8069km/26940s = 299.5m/s程度、約300m/s となる。空気中の音速は（1気圧、気温15度Cで）340m/s程度であるから、それよりは10%程度、遅いことが分かる。これとは矛盾はしない結果である。さてこの結果は、定量的に解釈できるのだろうか。

この詳細なパルス到達の時刻変化を見ると、速い成分が少し見えている。この理由を、仮に媒質の「分散性」（波の速度は一定ではない）の結果だと仮定する。目視により、最速の成分は20:10に到達している。この速度は、8069km/25200s = 320.2 m/sである。これは、音速（340m/s）の0.94倍である。

パルス波面の到達段階で、気圧変化の「速さ」は、半値全幅で20分（弱）程度掛かっている。その間に、せいぜい 2 hPa程度の変化。これは「人間センサー」では気づかないレベル（速さ）の変化である。

気圧計のキャリブレーションは、私の測定器ではまだ出来ていなかった。だが今回、相対差においては、気象庁とか測候所とかのものとほぼ同じであった（約２hPαの気圧変化を伴う衝撃波）。おかげで、荒くではあるが、念願のキャリブレーションが出来てしまったとも言える。

３．薄板を伝わる「ラム波」と「大気ラム波」

専門家の判断（https://twitter.com/qnishida/status/1482352477022601216）によれば、今回のトンガ噴火に伴う衝撃波は「大気ラム波」と呼ばれるそうだ（大気中の遠距離の伝搬）。大気圧は上空10kmで0.3 気圧、上空20kmで0.1気圧となるから、大気というのは大雑把に、厚さ20km程度の薄い層である。固体を伝わる波の場合、薄い固体を伝わる波を「ラム波」と呼ぶ。境界条件から制限がつく。しかし「大気ラム波」は、これとは別のようである。

今回のトンガ噴火で被災された方々にお見舞い申し上げます。
阪神・淡路大震災ではドーンと突き上げる衝撃の暫く後、グワングワンとかき混ぜるような波が来たと言われる。あれは多分、固体の表面を伝わる波で知られるラブ波とレイリー波だったと、私は考えている。しかし今回は、薄い層を伝わる「ラム波」の一種だ、というわけである。

固体中の波には縦波（圧縮変化の波）と横波（横ずれの伝搬）がある。それは板を伝わるラム波でも同じである。大気層は薄いため、大気中の衝撃波の伝搬は、遠方においては、板状のラム波での伝搬で近似できる。なぜならわずか厚さ20kmで、8000km遠方への伝搬だからである。しかし固体の板内と大気層との違いは、大気は重力で釣り合っているため、大気では上の境界が事実上、ないことだ。また、衝撃波といえども横波は（さすがに）なさそうだ。

固体のラム波では一般に分散性（波長によって速度が違う現象）が知られている。このため、私が観測した衝撃波の非対称性（ピークの左右非対称性）の原因は、この分散性の結果だとの仮定が可能である。しかし専門家によれば、どうもそうではなく「大気ラム波では」固体のラム波にあった分散性は消滅するようである。

そうすると、私が観測した非対称性の原因は、一体何だろうか。

４．衝撃波の非対称性

現状で、この不意義な非対称性の原因として考えられるのは、次の２通りである。
１）地震と同じく大気ラム波でも縦波と横波？いや流体で横波は無理らしい。この可能性は低そうだ。
２）実際に、このような推移を経て、噴火が起こった（最初にドカンドカンとなり、最後ドッカンとなった...）。
そうすると、この非対称性の理由は、後者２）なのだろうか。現状では原因は不明である。

あともう一つ面白いのは、波形の推移の「後半」である。ピークの後をよくよく見ると、大きな衝撃波の後に、推し波、引き波、が見えている（下図の右端、赤丸）。これも不思議な現象である。

これはひょっとして、最初の爆発（衝撃）の後に起こった、海面の上下を、空気の振動として、見ているのかもしれない。

５．衝撃波と海面変化の関係

そもそも、高さが精々20kmで、8000kmを伝わるのである。極端に薄い。従って、仮に海での反射があっても、時間差がそんなに大きくならないと思われる。また上空での屈折も考えられるが、上空は密度が薄いため、上空から地上に戻る（反射する）成分は少ないはずだ。ただし計算してみないとわからない。

ありうるのは、音速近い衝撃波に伴って、海水面の上下運動が起こり、この変動とセットで、大気の衝撃波も誘起される。そして両方が伝わってきたように、見える、という説明だ。

実際、海水面の圧力変化が伝わる方が高速である（圧縮率が小さいため）。そこで、大気の衝撃波が作り出した海水の衝撃波が、先に進み、その後に、大気の衝撃波を作って、お互いがお互いをに作りあって、高速に進行するというようなイメージが可能である。

しかし面白い現象だ。Lamb教授の論文をはじめ、以下の資料が参考になりそうだ。

以上。

関連資料：

1) Horace Lamb, "On waves in an elastic plate", Proc. R. Soc. London, A93, 114 (1917).　https://doi.org/10.1098/rspa.1917.0008

2) （H. Lambの1930年代の論文があったはず）（確認中）（追記）
Horace Lamb, "Hydrodynamics",  The Cambridge University press,  6th ed, 1932.

3) Frank Press and David Harkrider, "Air-Sea Waves from the Explosion of Krakatoa", 1966.　https://www.science.org/doi/10.1126/science.154.3754.1325

4) 三雲 健「大地震，津波，火山大爆発などから発生した気圧波」、『地震』第2輯、第64巻（2011）pp.47-62.　https://www.jstage.jst.go.jp/article/zisin/64/1/64_1_47/_pdf/-char/ja

5) Kiwamu Nishida, Naoki Kobayashi, Yoshio Fukao, "Background Lamb waves in the Earth's atmosphere", Geophysical Journal International, (2014) 196, pp.312-316.
https://academic.oup.com/gji/article/196/1/312/594635

本文のグラフ作成で使ったデータ（CSVファイル）
DATE,Temperature,Humidity,Atmospheric pressure
2022-01-15 00:00:13,2.35,64.85,1019.65
2022-01-15 00:00:39,2.32,64.83,1019.57
2022-01-15 00:01:08,2.26,64.73,1019.66
2022-01-15 00:01:33,2.26,64.42,1019.66
2022-01-15 00:02:00,2.26,65.03,1019.66
2022-01-15 00:02:25,2.26,65.38,1019.88
2022-01-15 00:02:51,2.26,65.67,1019.88
2022-01-15 00:03:16,2.21,65.3,1019.55
2022-01-15 00:03:42,2.2,65.32,1019.93
2022-01-15 00:04:08,2.15,65.69,1019.64
2022-01-15 00:04:34,2.17,65.6,1019.68
2022-01-15 00:04:59,2.17,65.28,1019.68
2022-01-15 00:05:26,2.14,65.03,1019.81
2022-01-15 00:05:52,2.12,64.82,1019.77
2022-01-15 00:06:17,2.09,65.09,1019.69
2022-01-15 00:06:43,2.05,66.1,1019.82
2022-01-15 00:07:09,2.03,66.28,1019.78
2022-01-15 00:07:35,1.99,66.18,1019.7
2022-01-15 00:08:00,1.96,66.99,1019.63
2022-01-15 00:08:26,1.98,66.53,1019.88
2022-01-15 00:08:51,1.93,66.68,1019.76
2022-01-15 00:09:17,1.9,67.21,1019.72
2022-01-15 00:09:44,1.9,66.79,1019.72
2022-01-15 00:10:10,1.93,66.47,1019.55
2022-01-15 00:10:36,1.9,65.77,1019.72
2022-01-15 00:11:02,1.85,65.58,1019.6
2022-01-15 00:11:28,1.8,65.91,1019.69
2022-01-15 00:11:54,1.65,66.58,1019.8
2022-01-15 00:12:19,1.68,67.59,1019.63
2022-01-15 00:12:45,1.68,67.78,1019.84
2022-01-15 00:13:11,1.6,67.57,1019.68
2022-01-15 00:13:37,1.51,67.73,1019.69
2022-01-15 00:14:03,1.55,67.39,1019.77
2022-01-15 00:14:29,1.57,67.53,1019.81
2022-01-15 00:14:55,1.55,67.11,1019.77
2022-01-15 00:15:21,1.49,68,1019.65
2022-01-15 00:15:48,1.44,68.01,1019.74
2022-01-15 00:17:07,1.57,67.97,1019.81
2022-01-15 00:17:33,1.6,67.72,1019.68
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2022-01-15 00:18:50,1.71,67.32,1019.49
2022-01-15 00:19:16,1.73,67.27,1019.74
2022-01-15 00:19:42,1.74,67.42,1019.78
2022-01-15 00:20:08,1.76,67.66,1019.82
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2022-01-15 00:21:00,1.85,67.32,1019.81
2022-01-15 00:21:26,1.85,67.67,1019.6
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2022-01-15 00:22:18,1.73,67.53,1019.74
2022-01-15 00:22:44,1.73,67.28,1019.74
2022-01-15 00:23:10,1.69,67.41,1019.45
2022-01-15 00:23:36,1.71,67.19,1019.7
2022-01-15 00:24:02,1.71,66.94,1019.7
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2022-01-15 00:24:54,1.73,66.84,1019.74
2022-01-15 00:25:20,1.68,67.41,1019.63
2022-01-15 00:25:46,1.69,67.52,1019.66
2022-01-15 00:26:12,1.71,67.4,1019.7
2022-01-15 00:26:38,1.69,67.94,1019.66
2022-01-15 00:27:04,1.74,68.33,1019.78
2022-01-15 00:27:30,1.8,68.3,1019.69
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2022-01-15 00:28:22,1.8,68.31,1019.48
2022-01-15 00:28:47,1.82,67.83,1019.73
2022-01-15 00:29:13,1.8,67.39,1019.9
2022-01-15 00:29:39,1.8,67.09,1019.69
2022-01-15 00:30:05,1.8,67.1,1019.69
2022-01-15 00:31:18,1.89,66.83,1019.68
2022-01-15 00:31:44,1.87,66.64,1019.64
2022-01-15 00:32:10,1.84,66.79,1019.77
2022-01-15 00:32:36,1.78,67.12,1019.86
2022-01-15 00:33:01,1.71,67.19,1019.7
2022-01-15 00:33:27,1.68,67.26,1019.84
2022-01-15 00:33:53,1.6,67.31,1019.68
2022-01-15 00:34:19,1.57,67.57,1019.81
2022-01-15 00:35:32,1.55,68.86,1019.77
2022-01-15 00:35:58,1.58,68.77,1019.85
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2022-01-15 00:44:17,1.44,67.86,1019.74
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2022-01-15 00:45:35,1.37,68.42,1019.58
2022-01-15 00:46:01,1.3,68.7,1019.85
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2022-01-15 00:46:53,1.38,68.29,1019.83
2022-01-15 00:47:19,1.4,67.64,1019.66
2022-01-15 00:47:45,1.4,67.39,1019.87
2022-01-15 00:48:11,1.43,67.12,1019.7
2022-01-15 00:48:37,1.49,66.68,1019.86
2022-01-15 00:49:03,1.53,66.29,1019.94
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2022-01-15 00:50:20,1.69,65.87,1019.66
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2022-01-15 00:51:38,1.8,64.87,1019.9
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2022-01-15 00:53:46,1.94,62.45,1020.01
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2022-01-15 00:54:38,2.03,63.27,1019.78
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2022-01-15 00:55:56,2.03,63.03,1019.78
2022-01-15 00:56:22,2.07,62.65,1020.07
2022-01-15 00:56:48,2.07,62.16,1019.86
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2022-01-15 00:57:43,2.14,62.33,1019.6
2022-01-15 00:58:09,2.17,62.04,1019.89
2022-01-15 00:58:35,2.23,61.73,1019.8
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2022-01-15 01:06:39,2.28,60.09,1019.7
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2022-01-15 01:10:49,2.48,60.49,1019.5
2022-01-15 01:11:15,2.45,60.72,1019.85
2022-01-15 01:11:41,2.28,59.97,1019.49
2022-01-15 01:12:07,2.28,60.15,1019.7
2022-01-15 01:12:33,2.25,60.89,1019.63
2022-01-15 01:13:02,2.23,60.62,1019.8
2022-01-15 01:13:28,2.12,60.68,1019.35
2022-01-15 01:13:54,2.1,61.3,1019.73
2022-01-15 01:14:20,2.14,61.14,1019.81
2022-01-15 01:14:46,2.15,59.69,1019.85
2022-01-15 01:15:12,2.15,61.07,1019.43
2022-01-15 01:15:41,2.15,60.85,1019.64
2022-01-15 01:16:07,2.15,60.45,1019.64
2022-01-15 01:16:33,2.14,59.98,1019.81
2022-01-15 01:16:59,2.14,59.98,1019.6
2022-01-15 01:17:24,2.15,59.56,1019.64
2022-01-15 01:17:53,2.15,59.94,1019.64
2022-01-15 01:18:19,2.17,59.94,1019.89
2022-01-15 01:18:45,2.2,60.39,1019.93
2022-01-15 01:19:11,2.2,59.92,1019.72
2022-01-15 01:19:37,2.21,60.88,1019.55
2022-01-15 01:20:03,2.25,60.71,1019.63
2022-01-15 01:20:32,2.25,60.35,1019.63
2022-01-15 01:20:58,2.23,59.53,1019.59
2022-01-15 01:21:25,2.21,59.12,1019.76
2022-01-15 01:21:50,2.21,59.59,1019.55
2022-01-15 01:22:16,2.21,60.59,1019.55
2022-01-15 01:22:42,2.23,60.21,1019.59
2022-01-15 01:23:08,2.23,60.36,1019.59
2022-01-15 01:23:33,2.23,60.53,1019.59
2022-01-15 01:23:59,2.21,60.77,1019.55
2022-01-15 01:24:25,2.21,60.47,1019.55
2022-01-15 01:24:51,2.14,60.77,1019.6
2022-01-15 01:25:17,1.99,60.67,1019.49
2022-01-15 01:26:30,2.01,61.07,1019.53
2022-01-15 01:26:56,2.09,61.01,1019.48
2022-01-15 01:27:22,2.07,60.08,1019.65
2022-01-15 01:27:48,2.05,60.15,1019.61
2022-01-15 01:28:14,2.03,60.7,1019.36
2022-01-15 01:28:40,2.01,60.94,1019.53
2022-01-15 01:29:05,1.99,61.12,1019.49
2022-01-15 01:29:31,1.99,61.48,1019.7
2022-01-15 01:29:57,1.98,61,1019.45
2022-01-15 01:30:23,1.98,61.21,1019.67
2022-01-15 01:30:48,1.96,60.59,1019.41
2022-01-15 01:31:14,1.98,62.24,1019.45
2022-01-15 01:31:40,2.03,61.97,1019.57
2022-01-15 01:32:06,2.07,61.5,1019.65
2022-01-15 01:32:32,2.03,60.56,1019.57
2022-01-15 01:32:57,2.01,60.88,1019.74
2022-01-15 01:33:23,2.01,60.91,1019.53
2022-01-15 01:33:49,1.99,60.68,1019.49
2022-01-15 01:34:15,1.96,61.33,1019.63
2022-01-15 01:34:41,1.94,61.23,1019.59
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2022-01-15 06:29:27,0.85,64.35,1022.22
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2022-01-15 11:20:48,8.12,47.84,1021.76
2022-01-15 11:21:13,8.01,48.11,1021.49
2022-01-15 11:21:39,8.02,48.29,1021.75
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2022-01-15 11:23:23,8.5,47.62,1021.52
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2022-01-15 11:30:51,9.92,44.5,1021.22
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2022-01-15 11:32:09,10.1,44.72,1021.16
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2022-01-15 11:34:44,10.33,44.4,1021.26
2022-01-15 11:35:10,10.35,44.37,1021.3
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2022-01-15 11:36:02,10.1,44.5,1021.38
2022-01-15 11:36:28,10.12,44.61,1021.2
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2022-01-15 11:42:57,10.59,43.55,1021.17
2022-01-15 11:43:23,10.6,43.48,1021
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2022-01-15 11:44:15,10.7,43.71,1021.22
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2022-01-15 11:45:07,10.75,43.2,1021.29
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2022-01-15 11:48:56,10.65,43.2,1021.11
2022-01-15 11:49:22,10.59,44,1021.17
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2022-01-15 11:51:33,10.33,44.11,1021.04
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2022-01-15 11:52:25,10.2,43.21,1020.96
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2022-01-15 11:57:12,9.84,43.6,1021.03
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2022-01-15 13:51:21,13.52,37.99,1019.61
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2022-01-15 18:51:52,4.42,61.87,1021.27
2022-01-15 18:52:18,4.39,62,1021.41
2022-01-15 18:52:44,4.34,61.97,1021.29
2022-01-15 18:53:10,4.28,62.36,1021.17
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2022-01-15 21:21:54,2.37,68.07,1021.38
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2022-01-15 21:22:46,2.37,67.69,1021.38
2022-01-15 21:23:12,2.35,67.64,1021.13
2022-01-15 21:23:37,2.34,67.73,1021.3
2022-01-15 21:24:04,2.34,67.8,1021.72
2022-01-15 21:24:29,2.32,67.8,1021.9
2022-01-15 21:24:55,2.29,67.76,1021.43
2022-01-15 21:25:21,2.29,67.74,1021.86
2022-01-15 21:25:47,2.28,68.09,1021.82
2022-01-15 21:26:13,2.28,68.15,1021.82
2022-01-15 21:26:39,2.28,68.05,1021.39
2022-01-15 21:27:05,2.26,68.06,1021.78
2022-01-15 21:28:18,2.42,67.76,1021.5
2022-01-15 21:28:44,2.46,67.63,1021.58
2022-01-15 21:29:10,2.45,67.78,1021.54
2022-01-15 21:29:36,2.42,68.18,1021.5
2022-01-15 21:30:02,2.4,68.54,1021.67
2022-01-15 21:30:28,2.32,68.38,1021.68
2022-01-15 21:30:54,2.29,68.76,1021.64
2022-01-15 21:31:20,2.28,69.06,1021.82
2022-01-15 21:31:46,2.29,68.86,1021.64
2022-01-15 21:32:12,2.34,68.48,1021.51
2022-01-15 21:32:38,2.28,68.5,1021.82
2022-01-15 21:33:04,2.25,68.49,1021.53
2022-01-15 21:33:30,2.23,68.59,1021.49
2022-01-15 21:33:56,2.2,68.55,1021.83
2022-01-15 21:34:22,2.2,68.89,1021.83
2022-01-15 21:34:48,2.21,69.07,1021.66
2022-01-15 21:35:14,2.23,68.54,1021.49
2022-01-15 21:35:39,2.21,68.24,1021.45
2022-01-15 21:36:05,2.23,68.23,1021.28
2022-01-15 21:36:31,2.21,68.16,1021.24
2022-01-15 21:36:56,2.2,68.3,1021.41
2022-01-15 21:37:22,2.17,69.02,1021.79
2022-01-15 21:37:48,2.2,69.37,1021.41
2022-01-15 21:38:14,2.2,69.27,1021.62
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2022-01-15 21:39:06,2.2,69.47,1021.41
2022-01-15 21:39:32,2.2,69.08,1021.62
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2022-01-15 21:40:49,2.15,68.92,1021.54
2022-01-15 21:41:15,2.17,68.88,1021.58
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2022-01-15 21:42:07,2.14,69.43,1021.5
2022-01-15 21:42:33,2.14,69.51,1021.5
2022-01-15 21:43:46,2.29,68.76,1021.64
2022-01-15 21:44:12,2.32,68.26,1021.68
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2022-01-15 21:45:05,2.32,68.08,1021.47
2022-01-15 21:45:31,2.28,67.97,1021.39
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2022-01-15 21:46:22,2.26,67.94,1021.57
2022-01-15 21:46:48,2.25,67.96,1021.32
2022-01-15 21:47:14,2.25,68.01,1021.74
2022-01-15 21:47:40,2.2,68.06,1021.62
2022-01-15 21:48:06,2.15,68.24,1021.54
2022-01-15 21:48:32,2.12,68.45,1021.67
2022-01-15 21:48:58,2.09,68.57,1021.38
2022-01-15 21:49:24,2.09,68.73,1021.38
2022-01-15 21:49:50,2.07,68.92,1021.34
2022-01-15 21:50:16,2.09,69.14,1021.59
2022-01-15 21:50:42,2.07,69.01,1021.55
2022-01-15 21:51:08,2.12,68.77,1021.46
2022-01-15 21:51:34,2.12,68.54,1021.46
2022-01-15 21:52:00,2.1,68.48,1021.63
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2022-01-15 21:52:51,2.07,68.6,1021.55
2022-01-15 21:53:17,2.09,68.52,1021.38
2022-01-15 21:53:46,2.07,68.6,1021.55
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2022-01-15 21:55:04,2.07,68.62,1021.55
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2022-01-15 21:55:56,2.09,68.74,1021.38
2022-01-15 21:56:24,2.09,68.81,1021.8
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2022-01-15 21:57:16,2.05,68.78,1021.51
2022-01-15 21:58:32,2.17,68.56,1021.58
2022-01-15 21:59:51,2.21,68.34,1021.66
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2022-01-15 22:02:01,2.09,68.99,1021.59
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2022-01-15 22:04:31,2.1,68.9,1021.84
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2022-01-15 22:10:59,1.94,69.28,1021.7
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2022-01-15 22:11:51,1.9,69.23,1021.83
2022-01-15 22:12:17,1.89,69.21,1021.79
2022-01-15 22:12:43,1.9,69.2,1021.83
2022-01-15 22:13:09,1.89,69.18,1021.79
2022-01-15 22:13:35,1.9,69.25,1021.83
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2022-01-15 22:14:27,1.9,69.47,1021.83
2022-01-15 22:14:53,1.9,69.45,1022.04
2022-01-15 22:15:19,1.93,69.33,1021.87
2022-01-15 22:15:44,1.9,69.22,1021.83
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2022-01-15 22:16:36,1.94,69.16,1021.7
2022-01-15 22:17:02,1.93,69.19,1021.87
2022-01-15 22:17:28,1.93,69.27,1021.87
2022-01-15 22:17:54,1.93,69.24,1021.87
2022-01-15 22:18:20,1.9,69.35,1021.83
2022-01-15 22:18:46,1.89,69.24,1022
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2022-01-15 22:19:38,1.89,69.44,1021.79
2022-01-15 22:20:05,1.89,69.3,1022
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2022-01-15 22:20:56,1.87,69.52,1021.96
2022-01-15 22:21:22,1.87,69.73,1021.75
2022-01-15 22:21:48,1.89,69.44,1022
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2022-01-15 22:23:06,1.89,69.25,1021.79
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2022-01-15 22:24:24,1.87,69.02,1021.96
2022-01-15 22:24:50,1.87,69.14,1021.96
2022-01-15 22:25:16,1.87,69.51,1021.96
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2022-01-15 22:26:08,1.87,69.05,1021.96
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2022-01-15 22:27:25,1.84,69.07,1021.88
2022-01-15 22:27:51,1.85,69.27,1021.92
2022-01-15 22:28:17,1.85,69.37,1022.13
2022-01-15 22:28:43,1.87,69.59,1022.17
2022-01-15 22:29:09,1.85,69.53,1021.92
2022-01-15 22:29:35,1.82,69.66,1022.05
2022-01-15 22:30:01,1.8,69.69,1022.22
2022-01-15 22:30:26,1.78,70.1,1022.19
2022-01-15 22:30:52,1.78,70.19,1021.97
2022-01-15 22:31:18,1.78,70.28,1021.97
2022-01-15 22:31:43,1.78,70.4,1021.76
2022-01-15 22:32:09,1.8,70.41,1021.8
2022-01-15 22:32:35,1.8,69.99,1021.8
2022-01-15 22:33:07,1.76,70.01,1021.93
2022-01-15 22:33:33,1.74,70.01,1021.68
2022-01-15 22:33:58,1.74,69.86,1021.68
2022-01-15 22:34:24,1.71,69.95,1021.6
2022-01-15 22:34:50,1.69,70.02,1021.56
2022-01-15 22:35:16,1.69,69.7,1021.77
2022-01-15 22:35:42,1.63,69.77,1021.66
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2022-01-15 22:37:22,1.8,69.17,1022.01
2022-01-15 22:38:44,1.87,68.93,1021.75
2022-01-15 22:39:13,1.89,68.83,1022
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2022-01-15 22:40:04,1.8,69,1022.01
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2022-01-15 22:41:22,1.78,69.39,1021.76
2022-01-15 22:41:48,1.82,69.63,1021.84
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2022-01-15 22:42:40,1.87,69.71,1021.96
2022-01-15 22:44:17,2.03,68.62,1021.9
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2022-01-15 22:48:12,1.85,68.92,1021.92
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2022-01-15 22:49:03,1.84,69.29,1021.88
2022-01-15 22:49:29,1.8,69.37,1021.8
2022-01-15 22:49:55,1.78,69.32,1021.76
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2022-01-15 22:50:47,1.76,69.21,1021.72
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2022-01-15 22:53:23,1.71,69.31,1022.03
2022-01-15 22:53:49,1.73,69.42,1021.85
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2022-01-15 22:54:41,1.71,69.29,1022.03
2022-01-15 22:55:07,1.71,69.59,1021.81
2022-01-15 22:55:33,1.71,69.71,1022.24
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2022-01-15 22:56:25,1.69,69.77,1021.99
2022-01-15 22:56:51,1.69,70.36,1021.99
2022-01-15 22:57:17,1.74,70.46,1021.89
2022-01-15 22:57:43,1.74,70.11,1021.89
2022-01-15 22:58:09,1.71,69.93,1022.03
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2022-01-15 22:59:02,1.71,69.73,1022.03
2022-01-15 22:59:27,1.69,70.5,1021.99
2022-01-15 22:59:53,1.69,70.67,1021.99
2022-01-15 23:00:19,1.68,70.19,1021.95
2022-01-15 23:00:45,1.63,70.18,1022.08
2022-01-15 23:01:12,1.62,70.39,1022.04
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2022-01-15 23:02:33,1.63,70.78,1022.08
2022-01-15 23:03:46,1.74,69.27,1022.1
2022-01-15 23:04:12,1.74,69.1,1022.1
2022-01-15 23:04:38,1.69,69.13,1021.99
2022-01-15 23:05:04,1.57,69.4,1022.34
2022-01-15 23:05:29,1.48,69.76,1022.14
2022-01-15 23:05:55,1.43,70.15,1022.02
2022-01-15 23:06:21,1.4,70.32,1021.98
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2022-01-15 23:07:13,1.43,71.11,1022.02
2022-01-15 23:07:39,1.51,71.34,1022.01
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2022-01-15 23:08:30,1.69,70.95,1022.2
2022-01-15 23:08:57,1.76,70.53,1022.14
2022-01-15 23:09:23,1.8,70.1,1021.8
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2022-01-15 23:10:14,1.8,69.31,1022.22
2022-01-15 23:10:40,1.8,69.48,1022.22
2022-01-15 23:11:07,1.82,69.58,1022.26
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2022-01-15 23:12:50,1.8,69.12,1022.22
2022-01-15 23:13:16,1.8,69.03,1022.22
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2022-01-15 23:14:34,1.82,69.17,1022.26
2022-01-15 23:15:00,1.82,69,1022.26
2022-01-15 23:15:25,1.84,69.57,1022.3
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2022-01-15 23:23:37,2.01,69.12,1022.28
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2022-01-15 23:24:29,2.12,69.19,1022.31
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2022-01-15 23:30:10,2.21,69.35,1022.29
2022-01-15 23:30:36,2.26,69.12,1021.99
2022-01-15 23:31:01,2.28,68.79,1022.24
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2022-01-15 23:33:13,2.32,68.6,1022.11
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2022-01-15 23:34:05,2.32,68.4,1022.11
2022-01-15 23:34:31,2.32,68.33,1022.11
2022-01-15 23:34:57,2.34,68.49,1022.36
2022-01-15 23:35:22,2.29,68.66,1022.07
2022-01-15 23:35:49,2.29,68.72,1022.07
2022-01-15 23:36:14,2.25,68.89,1022.16
2022-01-15 23:36:40,2.21,68.64,1022.08
2022-01-15 23:37:06,2.14,69.07,1022.13
2022-01-15 23:37:32,2.12,69.55,1022.09
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2022-01-15 23:38:24,2.1,69.13,1022.05
2022-01-15 23:38:50,2.07,68.58,1022.19
2022-01-15 23:39:15,2.03,68.47,1022.32
2022-01-15 23:39:41,1.98,68.41,1022.2
2022-01-15 23:40:07,1.96,68.49,1022.16
2022-01-15 23:40:33,1.93,68.57,1022.29
2022-01-15 23:41:02,1.94,68.67,1022.12
2022-01-15 23:41:28,1.9,69.06,1022.04
2022-01-15 23:41:53,1.94,69.03,1022.12
2022-01-15 23:42:19,1.94,69.15,1022.12
2022-01-15 23:42:45,1.99,69,1022.24
2022-01-15 23:43:11,1.96,68.83,1022.16
2022-01-15 23:43:37,1.94,68.49,1022.12
2022-01-15 23:44:03,1.9,68.4,1022.04
2022-01-15 23:44:29,1.85,69.12,1021.92
2022-01-15 23:44:55,1.9,69.6,1022.04
2022-01-15 23:45:21,1.87,69.24,1021.96
2022-01-15 23:45:47,1.87,69.53,1022.17
2022-01-15 23:46:13,1.87,69.89,1022.17
2022-01-15 23:46:39,1.89,69.44,1022.21
2022-01-15 23:47:05,1.85,69.15,1022.13
2022-01-15 23:47:31,1.82,68.96,1022.05
2022-01-15 23:47:57,1.8,69.12,1022.01
2022-01-15 23:48:23,1.76,69.36,1022.36
2022-01-15 23:48:49,1.73,69.24,1022.07
2022-01-15 23:49:15,1.68,69.11,1022.16
2022-01-15 23:49:43,1.62,69.6,1022.04
2022-01-15 23:50:09,1.62,70.17,1022.04
2022-01-15 23:50:35,1.63,70.12,1022.08
2022-01-15 23:51:01,1.65,70.13,1022.12
2022-01-15 23:51:27,1.69,69.81,1021.99
2022-01-15 23:51:53,1.68,69.91,1022.16
2022-01-15 23:52:19,1.65,69.7,1021.91
2022-01-15 23:52:45,1.63,69.47,1022.08
2022-01-15 23:53:11,1.63,69.39,1022.08
2022-01-15 23:53:37,1.62,69.37,1021.83
2022-01-15 23:54:03,1.6,69.44,1022
2022-01-15 23:54:29,1.62,69.76,1021.83
2022-01-15 23:54:55,1.65,69.73,1021.7
2022-01-15 23:55:21,1.69,69.62,1021.77
2022-01-15 23:55:47,1.69,69.34,1021.77
2022-01-15 23:56:12,1.69,69.26,1021.77
2022-01-15 23:57:26,1.82,69.76,1021.84
2022-01-15 23:58:44,1.85,69.34,1021.71
2022-01-15 23:59:11,1.84,69.36,1021.67
2022-01-15 23:59:37,1.76,69.41,1021.51