Aspect anneaux saturne
Author: phm

Déphasage
rot. Terre

point vernal

Anneau

Saturne

Ligne Terre-Saturne

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intersection écliptique - équateur Saturne

Saturne, ses anneaux et son plan équatorial

Passage de la Terre et du Soleil dans son plan équatorial

Vitesses des curseurs
- Touche SHIFT appuyée : 0.1 x
- Touche CTRL appuyée : 10 x
- Touche Alt appuyée :     100 x

Intersection plans

Ciel calendrier

Soleil

Terre

Saturne

Rayon

Anneau int.

Dist. (ua)

Anneau ext.

V rot

Saturn

Rot. ang.

Révol.

°

R.A. (°)

Dec. (°)

P (ans)

a

e

i

L2000.0

Ω

ϖ

Masse

R. equat.

Saturn

P_T: 365.256363
H = (-0.01793834130508549, 0.5136868850878152)
delta = 0 (slider from 0 to 366, step 0.1)
tps = 0 (slider from 0 to 12000, step 0.1)
jj: tps + 1
P_S: 10757.7365
jan4: Mod[tps, 1461] + 1
upx: 0.0854788319
upy = 0.462606617188416
upz = 0.882433276252181
Ω = 1.9847011589053518 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
i = 0.04336200713409832 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
vsini: sin(i)
vcosi: cos(i)
y_T: y(H) + sin(((2 * 3.14159) * (tps + 1 + delta) / P_T) + (100.575 * 3.14159 / 180))
y_{orb}: (9.537 * sin(((2 * 3.14159 / P_S) * (jj + 1453))))
x_{orb}: (9.537 * cos(((2 * 3.14159 / P_S) * (jj + 1453))))
y_s: (sin(Ω) * x_{orb}) + (cos(Ω) * y_{orb})
yst: (-(y_s - y_T))
x_s: (((cos(Ω) * x_{orb}) - (sin(Ω) * y_{orb})) * vcosi)
x_T: x(H) + cos(((2 * 3.14159) * (jj + delta) / P_T) + (100.575 * 3.14159 / 180))
xst: (-(x_s - x_T))
z_s: (vsini * y_{orb})
zst: (-z_s)
dst: sqrt((xst * xst) + (yst * yst) + (zst * zst))
uty: yst / dst
utx: xst / dst
utz: zst / dst
thet: (acos((upx * utx) + (upy * uty) + (upz * utz)) * 180 / 3.141592653589793) - 90
thet2: round((thet * 1000)) / 1000
S: (x_s, y_s)
a_e: (1 / dst * 20)
b_e: abs((a_e * sin((thet * 3.141592653589793 / 180))))
c_e: sqrt((a_e * a_e) - (b_e * b_e))
I = (-10.9575, 13)
K = (10.9575, 13)
p: (0.08548 * (x - x(S))) + (0.46244 * (y - y(S))) - (0.88252 * z_s) = 0
T: (x_T, y_T)
c_T = Circle(H, 1)
f: y = y(H)
f' = Rotate(f, 113.715°, H)
O = (0, 0)
c_S = Circle(O, 9.537)
N', N = Intersect(c_S, f')
SH = Segment(H, S)
deltax: x(S) - x(H)
deltay: y(S) - y(H)
u = Vector(H, (x(H) + 12, y(H)))
einc = Ellipse((x(S) - c_e, y(S)), (x(S) + c_e, y(S)), a_e)
d = false
g = false
k = false
texte5: "Inclinaison : " + thet2 + "°"
fbis = If(jan4 > 1095, true, false)
jours: {A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36, A37, A38, A39, A40, A41, A42, A43, A44, A45, A46, A47, A48, A49, A50, A51, A52, A53, A54, A55, A56, A57, A58, A59, A60, A61, A62, A63, A64, A65, A66, A67, A68, A69, A70, A71, A72, A73, A74, A75, A76, A77, A78, A79, A80, A81, A82, A83, A84, A85, A86, A87, A88, A89, A90, A91, A92, A93, A94, A95, A96, A97, A98, A99, A100, A101, A102, A103, A104, A105, A106, A107, A108, A109, A110, A111, A112, A113, A114, A115, A116, A117, A118, A119, A120, A121, A122, A123, A124, A125, A126, A127, A128, A129, A130, A131, A132, A133, A134, A135, A136, A137, A138, A139, A140, A141, A142, A143, A144, A145, A146, A147, A148, A149, A150, A151, A152, A153, A154, A155, A156, A157, A158, A159, A160, A161, A162, A163, A164, A165, A166, A167, A168, A169, A170, A171, A172, A173, A174, A175, A176, A177, A178, A179, A180, A181, A182, A183, A184, A185, A186, A187, A188, A189, A190, A191, A192, A193, A194, A195, A196, A197, A198, A199, A200, A201, A202, A203, A204, A205, A206, A207, A208, A209, A210, A211, A212, A213, A214, A215, A216, A217, A218, A219, A220, A221, A222, A223, A224, A225, A226, A227, A228, A229, A230, A231, A232, A233, A234, A235, A236, A237, A238, A239, A240, A241, A242, A243, A244, A245, A246, A247, A248, A249, A250, A251, A252, A253, A254, A255, A256, A257, A258, A259, A260, A261, A262, A263, A264, A265, A266, A267, A268, A269, A270, A271, A272, A273, A274, A275, A276, A277, A278, A279, A280, A281, A282, A283, A284, A285, A286, A287, A288, A289, A290, A291, A292, A293, A294, A295, A296, A297, A298, A299, A300, A301, A302, A303, A304, A305, A306, A307, A308, A309, A310, A311, A312, A313, A314, A315, A316, A317, A318, A319, A320, A321, A322, A323, A324, A325, A326, A327, A328, A329, A330, A331, A332, A333, A334, A335, A336, A337, A338, A339, A340, A341, A342, A343, A344, A345, A346, A347, A348, A349, A350, A351, A352, A353, A354, A355, A356, A357, A358, A359, A360, A361, A362, A363, A364, A365, A366}
jours2: {B1, B2, B3, B4, B5, B6, B7, B8, B9, B10, B11, B12, B13, B14, B15, B16, B17, B18, B19, B20, B21, B22, B23, B24, B25, B26, B27, B28, B29, B30, B31, B32, B33, B34, B35, B36, B37, B38, B39, B40, B41, B42, B43, B44, B45, B46, B47, B48, B49, B50, B51, B52, B53, B54, B55, B56, B57, B58, B59, B60, B61, B62, B63, B64, B65, B66, B67, B68, B69, B70, B71, B72, B73, B74, B75, B76, B77, B78, B79, B80, B81, B82, B83, B84, B85, B86, B87, B88, B89, B90, B91, B92, B93, B94, B95, B96, B97, B98, B99, B100, B101, B102, B103, B104, B105, B106, B107, B108, B109, B110, B111, B112, B113, B114, B115, B116, B117, B118, B119, B120, B121, B122, B123, B124, B125, B126, B127, B128, B129, B130, B131, B132, B133, B134, B135, B136, B137, B138, B139, B140, B141, B142, B143, B144, B145, B146, B147, B148, B149, B150, B151, B152, B153, B154, B155, B156, B157, B158, B159, B160, B161, B162, B163, B164, B165, B166, B167, B168, B169, B170, B171, B172, B173, B174, B175, B176, B177, B178, B179, B180, B181, B182, B183, B184, B185, B186, B187, B188, B189, B190, B191, B192, B193, B194, B195, B196, B197, B198, B199, B200, B201, B202, B203, B204, B205, B206, B207, B208, B209, B210, B211, B212, B213, B214, B215, B216, B217, B218, B219, B220, B221, B222, B223, B224, B225, B226, B227, B228, B229, B230, B231, B232, B233, B234, B235, B236, B237, B238, B239, B240, B241, B242, B243, B244, B245, B246, B247, B248, B249, B250, B251, B252, B253, B254, B255, B256, B257, B258, B259, B260, B261, B262, B263, B264, B265, B266, B267, B268, B269, B270, B271, B272, B273, B274, B275, B276, B277, B278, B279, B280, B281, B282, B283, B284, B285, B286, B287, B288, B289, B290, B291, B292, B293, B294, B295, B296, B297, B298, B299, B300, B301, B302, B303, B304, B305, B306, B307, B308, B309, B310, B311, B312, B313, B314, B315, B316, B317, B318, B319, B320, B321, B322, B323, B324, B325, B326, B327, B328, B329, B330, B331, B332, B333, B334, B335, B336, B337, B338, B339, B340, B341, B342, B343, B344, B345, B346, B347, B348, B349, B350, B351, B352, B353, B354, B355, B356, B357, B358, B359, B360, B361, B362, B363, B364, B365, B366, B367}
ljours = If(fbis, jours2, jours)
nfbis: floor(fbis)
numjour = Mod(jan4, 365 + fbis)
jmod4 = If(jan4 ≟ 365 ∨ jan4 ≟ 730 ∨ jan4 ≟ 1095 ∨ jan4 ≟ 1460 ∨ jan4 ≟ 1461, 1, 0)
jan: jan4 - (365 * floor(jan4 / 365)) + (jmod4 * 365)
numan: (floor((jj - 1) / 1461) * 4) + floor(abs(jan4 - 1 - fbis) / 365)
nan4: (floor((jj - 1) / 1461) * 4)
nan4b: floor(jj / 1461)
m1 = If(Mod[floor(jj), 1461] ≟ 0, 1, 0)
nan1: floor(abs(jan4 - 1 - m1) / 365)
numan2: nan1 + nan4
texte7: "Date : " + (Element[ljours, jan]) + "/" + (numan2 + 2009) + "
No jour : " + (floor(jj)) + ""
II = Intersect(p, OrthogonalLine[(0, 0), p])
Txt = RotateText(A, -10.25°)
h_1 = Ray(T, S)
a_S: 9.53667594
h = false
C: (11, -11) + H
B: (-11, -11) + H
a = false
sgdate = Rotate(Segment[(6, 0), (7.2, 0)], Angle[H + (1, 0), H, T], H)
S_S = Circle(S, (a_e / 72000 * 30134))
ua: (1.49598 * 10^(8))
texte11: "" + (round((Mod[tps, 1] * 24))) + "h " + (round(Mod[((tps * 24) * 60), 60], 2)) + "min"
E2: 695700
F2: 6371
b: 1.495978875E8
F3: 1.495978875E8
c: 1429394069
G3: 1429394069
G2: 60268
H2: 7000
I2: 72000
D7: 0.08549
E7: 0.46261
F7: 0.88243
E10: 0.44401
F10: 26.73
G10: 40.59
H10: 83.5400000000004
I10: 810.790000000003
F8: "" + (UnicodeToLetter[34]) + "Axial tilt"
G8: "" + (UnicodeToLetter[34]) + "North Pole North Pol"
H8: "" + (UnicodeToLetter[34]) + "Rotatio"
I9: "" + (UnicodeToLetter[34]) + "(°/day)"
E13: 29.447498
F13: 9.53667594000003
G13: 0.0538617900000002
H13: 2.48599187
I13: 49.9542442000003
J13: 113.662424
K13: 92.5988783000005
L13: 5.68E26
M13: 58232000