J/AJ/165/147 Main problem of lunar orbit revisited (Li+, 2023)
The Main Problem of Lunar Orbit Revisited.
Li B.-S., Hou X.-Y.
<Astron. J., 165, 147 (2023)>
=2023AJ....165..147L 2023AJ....165..147L
ADC_Keywords: Models; Solar system; Minor planets
Keywords: Lunar theory ; Perturbation methods ; Orbital motion
Abstract:
A novel algorithm based on the Lindstedt-Poincare method is proposed
to construct an analytical solution of the lunar orbit. Based on the
analytical solution, a numerical fitting algorithm is proposed to
improve the coefficients of the analytical solution so that its
accuracy can reach the level of a few kilometers within 20yr. By
fitting our solution to the long-term JPL ephemerides, we are able to
recover the receding speed of the Moon from the Earth due to tidal
effects. The proposed algorithm also provides a general way to treat
the third-body perturbation in rectangular coordinates.
File Summary:
--------------------------------------------------------------------------------
FileName Lrecl Records Explanations
--------------------------------------------------------------------------------
ReadMe 80 . This file
table3.dat 104 1111 *Main terms of the fitting solution
--------------------------------------------------------------------------------
Note on table3.dat: The,corresponding,four,basic,frequencies, by epoch are;
J2000-2020 = 0.990156823575908,1.002612877114862,0.923900552696484,
0.074696419702108;
J2020-2040 = 0.990156978862016,1.002612764769581,0.923900591976082,
0.074696356366477;
J2040-2060 = 0.990156933272334,1.002612790034825,0.923900593031267,
0.074696341335004;
J2060-2080 = 0.990157039998384,1.002612956081194,0.923900587015228,
0.074696368392132;
J2080-2100 = 0.990157022029724,1.002612915939917,0.923900594007249,
0.074696369380082.
The units of length and time are 384388km and 4.34227654269699day,
respectively
--------------------------------------------------------------------------------
See also:
VI/97 : Solar and Lunar Eclipses; 1996-2020 (Espenak, 1997)
VI/140 : Catalogue of Lunar Eclipse Crater Timings (Herald+ 2014)
Byte-by-byte Description of file: table3.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 4 I4 yr Start [2000/2080] Julian Epoch, Start
6- 9 I4 yr Stop [2020/2100] Julian Epoch, Stop
11- 11 I1 --- m [0/4] Coefficient m (1)
13- 14 I2 --- n [-3/3] Coefficient n (1)
16- 17 I2 --- p [-7/5] Coefficient p (1)
19- 20 I2 --- q [-4/4] Coefficient q (1)
22- 34 F13.10 --- cx [-0.79/0.99] Coefficient cx (2)
36- 48 F13.10 --- sx [-0.82/0.98] Coefficient sx (2)
50- 62 F13.10 --- cy [-0.9/0.75] Coefficient cy (2)
64- 76 F13.10 --- sy [-0.72/0.91] Coefficient sy (2)
78- 90 F13.10 --- cz [-0.39/0.33] Coefficient cz (2)
92-104 F13.10 --- sz [-0.32/0.4] Coefficient sz (2)
--------------------------------------------------------------------------------
Note (1): See equation 22 in paragraph 6 of the article
Note (2): See equation 25 in paragraph 6 of the article
--------------------------------------------------------------------------------
History:
From electronic version of the journal
(End) Prepared by [AAS], Coralie Fix [CDS], 25-Aug-2023