C/1998 P1 (Williams)

メタデータ

項目 値
Designation C/1998 P1 (Williams)
Type C
Perihelion (tp_cal, UTC) 1998-10-17T20:04:26.601600Z
Orbit solution date (soln_date, UTC) 2021-04-15T23:29:57Z
Obs used 403
NEO -
M1 7.800
K1 14.750
PC 0.030
オスキュレーティング軌道要素
項目 値
Epoch (epoch_cal, TDB) 1998-12-15.0000000
e 0.99935941
q (au) 1.146154
a (au) 1789.224617
i (deg) 145.728519
Ω (om, deg) 156.373092
ω (w, deg) 294.452932
M (ma, deg) 0.000757

等級

C/1998 P1 (Williams) · Magnitude (Full range)

散乱 + 全体線形

$$ M_a = (6.727 + 4.174\cdot 2.5\log_{10} r) + \epsilon - 2.5\log_{10}\Phi(\theta) + 5\log_{10}\Delta $$ $$ \theta = 180^\circ - \alpha $$ $$ \Phi(\theta) = \frac{\delta_{90} D(\theta) + 1}{\delta_{90} + 1},\quad D(\theta) = k\cdot \Phi_{HG}(\theta; g_f) + (1-k)\cdot \Phi_{HG}(\theta; g_b) $$ $$ \Phi_{HG}(\theta; g) = \left(\frac{1+g^2}{1+g^2-2g\cos\theta}\right)^{3/2},\quad \Phi_{HG}(90^\circ)=1 $$

モデル定数

項目 値
H0 6.727
n 4.174
gf 0.891
gb -0.729
k 0.993
δ90 1.273
パラメータ 記号 範囲 説明
太陽・地球距離が1 AUのときの絶対等級 H0 -5 to 20 彗星の固有の明るさ
測光スロープパラメータ n 2 to 6 太陽距離に対する明るさ変化率
前方散乱非対称係数 gf 0.8 to 1 前方散乱の強さ
後方散乱非対称係数 gb -1 to -0.5 後方散乱の強さ
分配係数 k 0.8 to 1 前方/後方散乱の寄与比
ダスト/ガス明るさ比 δ90 1 to 10 ダスト散乱とガス放射の相対寄与

参考: EPSC-DPS2025-160

残差 (区間線形)

$$\epsilon = a \log_{10} r_{\mathrm{au}} + b$$

開始日 (UTC) 終了日 (UTC) a b
1998-08-10 1998-08-29 +48.4077 -7.973
1998-08-29 1998-10-04 -9.7163 +0.414
1998-11-14 1998-12-30 -0.7986 +0.004
1998-12-30 1999-01-17 -4.5488 +1.146
1999-01-17 1999-02-09 +3.1416 -0.885
1999-02-09 1999-03-04 +15.9071 -5.048
1999-03-04 1999-04-13 -6.4456 +2.729
1999-04-13 1999-05-18 -16.8421 +7.088

log10 r = log10(太陽距離/AU)、Δ = 地球距離(AU)

天体暦

Date/Time (UTC) RA (J2000) Dec (J2000) Nearest HIP Dist from HIP (arcmin)
2026-09-20 00:00 02:58:51.31 +52:52:55.7 HIP 13803 9.94
2026-09-20 12:00 02:58:48.75 +52:53:05.6 HIP 13803 9.54
2026-09-21 00:00 02:58:46.16 +52:53:15.4 HIP 13803 9.13
2026-09-21 12:00 02:58:43.54 +52:53:25.0 HIP 13803 8.73
2026-09-22 00:00 02:58:40.90 +52:53:34.4 HIP 13803 8.32
2026-09-22 12:00 02:58:38.24 +52:53:43.7 HIP 13803 7.91
2026-09-23 00:00 02:58:35.55 +52:53:52.8 HIP 13803 7.50
2026-09-23 12:00 02:58:32.84 +52:54:01.7 HIP 13803 7.09
2026-09-24 00:00 02:58:30.10 +52:54:10.5 HIP 13803 6.67
2026-09-24 12:00 02:58:27.34 +52:54:19.0 HIP 13803 6.26
2026-09-25 00:00 02:58:24.55 +52:54:27.4 HIP 13803 5.85
2026-09-25 12:00 02:58:21.75 +52:54:35.6 HIP 13803 5.44
2026-09-26 00:00 02:58:18.91 +52:54:43.7 HIP 13803 5.03
2026-09-26 12:00 02:58:16.06 +52:54:51.5 HIP 13803 4.62
2026-09-27 00:00 02:58:13.18 +52:54:59.2 HIP 13803 4.22
2026-09-27 12:00 02:58:10.28 +52:55:06.7 HIP 13803 3.83
2026-09-28 00:00 02:58:07.36 +52:55:14.0 HIP 13803 3.45
2026-09-28 12:00 02:58:04.41 +52:55:21.2 HIP 13803 3.08
2026-09-29 00:00 02:58:01.44 +52:55:28.1 HIP 13803 2.74
2026-09-29 12:00 02:57:58.45 +52:55:34.9 HIP 13803 2.43
2026-09-30 00:00 02:57:55.44 +52:55:41.5 HIP 13803 2.18
2026-09-30 12:00 02:57:52.41 +52:55:47.9 HIP 13803 2.00
2026-10-01 00:00 02:57:49.35 +52:55:54.1 HIP 13803 1.91
2026-10-01 12:00 02:57:46.27 +52:56:00.1 HIP 13803 1.94
2026-10-02 00:00 02:57:43.18 +52:56:06.0 HIP 13803 2.07
2026-10-02 12:00 02:57:40.06 +52:56:11.6 HIP 13803 2.30
2026-10-03 00:00 02:57:36.92 +52:56:17.1 HIP 13803 2.60
2026-10-03 12:00 02:57:33.76 +52:56:22.4 HIP 13803 2.94
2026-10-04 00:00 02:57:30.58 +52:56:27.4 HIP 13803 3.32
2026-10-04 12:00 02:57:27.38 +52:56:32.3 HIP 13803 3.72
2026-10-05 00:00 02:57:24.16 +52:56:37.0 HIP 13803 4.15
2026-10-05 12:00 02:57:20.92 +52:56:41.5 HIP 13803 4.59
2026-10-06 00:00 02:57:17.66 +52:56:45.9 HIP 13803 5.03
2026-10-06 12:00 02:57:14.38 +52:56:50.0 HIP 13803 5.49
2026-10-07 00:00 02:57:11.08 +52:56:53.9 HIP 13803 5.96
2026-10-07 12:00 02:57:07.76 +52:56:57.6 HIP 13803 6.43
2026-10-08 00:00 02:57:04.43 +52:57:01.2 HIP 13803 6.91
2026-10-08 12:00 02:57:01.08 +52:57:04.5 HIP 13803 7.39
2026-10-09 00:00 02:56:57.70 +52:57:07.6 HIP 13803 7.88
2026-10-09 12:00 02:56:54.32 +52:57:10.6 HIP 13803 8.37
2026-10-10 00:00 02:56:50.91 +52:57:13.3 HIP 13803 8.86
2026-10-10 12:00 02:56:47.49 +52:57:15.9 HIP 13803 9.36
2026-10-11 00:00 02:56:44.05 +52:57:18.2 HIP 13803 9.86