ÎÐÁÈÒÀËÜÍÛÅ ÏÀÐÀÌÅÒÐÛ ÏËÀÍÅÒ |
Îðáèòàëüíûå ïàðàìåòðû
Ñðåäíèå ýëåìåíòû îðáèò ïëàíåò,
îòíîñÿùèåñÿ ê ñðåäíèì ýêëèïòèêå è ðàâíîäåíñòâèþ J2000
Ñðåäíèå ýëåìåíòû îðáèò ïëàíåò,
îòíîñÿùèåñÿ ê ýêëèïòèêå è ðàâíîäåíñòâèþ äàòû
Ñðåäíèå ýëåìåíòû îðáèòû Ïëóòîíà
Êåïëåðîâñêèå
ýëåìåíòû äëÿ ïðèáëèæåííûõ ïîëîæåíèé áîëüøèõ ïëàíåò
(Standish E.M., JPL/Caltech)
1 a.e. = 149 597 870 êì
Íàçâàíèå |
Áîëüøàÿ
ïîëóîñü
(à.å.) |
Ýêñöåíòðèñèòåò |
Íàêëîí
ê ýêëèïòèêå1/
(ãðàä) |
Ïåðèîä
îáðàùåíèÿ
(ñóò) |
Íàêëîí
îñè
(ãðàä) |
Îðáèò.
ñêîðîñòü
(êì/ñ) |
Ìåðêóðèé |
0.38709830982 |
0.205631752 |
7.0049863889 |
87.96843362 |
0.00 |
47.87 |
Âåíåðà |
0.72332981996 |
0.006771882 |
3.3946619444 |
224.6954354 |
177.36 |
35.02 |
Çåìëÿ |
1.00000101778 |
0.016708617 |
0.0 |
365.24218985 |
23.45 |
29.79 |
Ìàðñ |
1.52367934191 |
0.093400620 |
1.8497263889 |
686.92970957 |
25.19 |
24.13 |
Þïèòåð |
5.20260319132 |
0.048494851 |
1.3032697222 |
4330.5957654 |
3.13 |
13.06 |
Ñàòóðí |
9.55490959574 |
0.055508622 |
2.4888780556 |
10746.940442 |
25.33 |
9.66 |
Óðàí |
19.21844606178 |
0.046295899 |
0.77319611 |
30588.740354 |
97.86 |
6.80 |
Íåïòóí |
30.11038686942 |
0.008988095 |
1.7699522 |
59799.900456 |
28.31 |
5.44 |
Ïëóòîí |
39.5181761979 |
0.2459387823 |
17.1225991666 |
90738.995 |
122.52 |
4.74 |
1/ Ýëåìåíòû îòíîñÿòñÿ ê ýïîõå J2000.
Îáîçíà÷åíèÿ:
Íàçâàíèå Íàçâàíèå ïëàíåòû
Áîëüøàÿ ïîëóîñü Áîëüøàÿ ïîëóîñü â à.å.
Ýêñöåíòðèñèòåò Îðáèòàëüíûé ýêñöåíòðèñèòåò
Íàêëîí Íàêëîí îðáèòû ê ýêëèïòèêå â ãðàäóñàõ
Ïåðèîä îáðàùåíèÿ Ñèäåðè÷åñêèé ïåðèîä îáðàùåíèÿ
Íàêëîí îñè Íàêëîí îñè èëè íàêëîí ïëîñêîñòè ýêâàòîðà ïëàíåòû ê îðáèòàëüíîé ïëîñêîñòè
Îðáèò. ñêîðîñòü Ñðåäíÿÿ îðáèòàëüíàÿ ñêîðîñòü
ÑÐÅÄÍÈÅ ÝËÅÌÅÍÒÛ ÎÐÁÈÒ,
îòíîñÿùèåñÿ ê ñðåäíèì ýêëèïòèêå è
ðàâíîäåíñòâèþ
J2000 |
Äàíû ñðåäíèå ýëåìåíòû îðáèò,
îòíîñÿùèåñÿ ê ñðåäíèì äèíàìè÷åñêèì ýêëèïòèêå è ðàâíîäåíñòâèþ J2000
[1].
Íà÷àëüíàÿ ýïîõà J 2000.0 ( JD = 2451545.0 ).
Ñèñòåìà êîîðäèíàò ýêëèïòè÷åñêàÿ.
t - áàðèöåíòðè÷åñêîå âðåìÿ (TDB) â òûñÿ÷àõ þëèàíñêèõ ëåò, îòñ÷èòûâàåìîå îò íà÷àëüíîé ýïîõè J2000.0 (JD=2451545.0), ò.å.
t = (JD - 2451545.0)/365250 .
Èñïîëüçóþòñÿ ýêëèïòè÷åñêèå ýëåìåíòû:
a - áîëüøàÿ ïîëóîñü îðáèòû,
λ -
ñðåäíÿÿ äîëãîòà, λ
= ω +
Ω +
M0
e - ýêñöåíòðèñèòåò,
ω - äîëãîòà ïåðèöåíòðà,
i - íàêëîí îðáèòû ê ýêëèïòèêå,
Ω - äîëãîòà âîñõîäÿùåãî óçëà
îðáèòû.
Êðîìå òîãî, â òàáëèöàõ
ïðèâîäÿòñÿ ñëåäóþùèå ýëåìåíòû:
k = e cos
ω,
h = e sin ω,
q = sin i/2 cos Ω,
p = sin i/2 sin Ω.
Âàæíî îòìåòèòü, ÷òî ýëåìåíòû
e, ω, i , Ω è
k, h, q, p íå òîæäåñòâåííû. Îáùàÿ ïëàíåòíàÿ òåîðèÿ è
êëàññè÷åñêàÿ ïëàíåòíàÿ òåîðèÿ ìîãóò áûòü ïîñòðîåíû, èñïîëüçóÿ ñðåäíèå ýëåìåíòû
e, ω, i , Ω èëè ñðåäíèå ýëåìåíòû
k, h, q, p.
Áîëüøàÿ ïîëóîñü ïðèâîäèòñÿ â àñòðîíîìè÷åñêèõ åäèíèöàõ,
e, k, h, q, p -
áåçðàçìåðíûå âåëè÷èíû. Äëÿ óãëîâ
λ ,
ω, i è Ω
ïîñòîÿííûå âåëè÷èíû ñîäåðæàò ãðàäóñû è äîëè ãðàäóñà, à
êîýôôèöèåíòû ïðè ñòåïåíÿõ âðåìåíè ïðèâåäåíû â ñåêóíäàõ.
Ìåðêóðèé Þïèòåð
Âåíåðà Ñàòóðí
Çåìëÿ Óðàí
Ìàðñ Íåïòóí
a
= 0.3870983098 |
λ = 252œ.25090552+5381016286".88982t-1".92789t2+0".00639t3
|
e
= 0.2056317526+0.0002040653t-28349ž10-10t2-1805ž10-10t3+23ž10-10t4-2ž10-10t5
|
ω
= 77œ.45611904+5719".11590t-4".83016t2-0".02464t3-0".00016t4 +0".00004t5 |
i
= 7œ.00498625-214".25629t+0".28977t2+0".15421t3-0".00169t4-0".00002t5 |
Ω
= 48œ.33089304-4515".21727t-31".79892t2-0".71933t3+0".01242t4 |
k = 0.0446605976-0.0055211462t-0.0000186057t2+7912ž10-10t3+59ž10-10t4-2ž10-10t5 |
h = 0.2007233137+0.0014375012t-0.0000797412t2+3046ž10-10t3+81ž10-10t4-10-10t5
|
q = 0.0406156338+0.0006543312t-0.0000107122t2+2246ž10-10t3-38ž10-10t4 |
p = 0.0456355046-0.0012763366t-0.0000091335t2+1899ž10-10t3-64ž10-10t4 |
a
= 0.7233298200 |
λ = 181œ.97980085+2106641364".33548t+0".59381t2-0".00627t 3
|
e
= 0.0067719164-0.0004776521t+98127ž10-10t2+4639ž10-10t3+123ž10-10t4-3ž10-10t5
|
ω
= 131œ.56370300+175".48640t-498".48184t2-20".50042t3-0".72432t4+0".00224t5 |
i
= 3œ.39466189-30".84437t-11".67836t2+0".03338t3+0".00269t4+0".00004t5 |
Ω
= 76œ.67992019-10008".48154t-51".32614t2-0".58910t3-0".04665t4 |
k = -0.0044928213+0.0003125902t+0.0000060406t2-6835ž10-10t3+49ž10-10t4+6ž10-10t5 |
h = 0.0050668473-0.0003612124t+0.0000184676t2+328ž10-10t3-61ž10-10t4-2ž10-10t5
|
q = 0.0068241014+0.0013813383t-0.0000109094t2-18642ž10-10t3+60ž10-10t4+7ž10-10t5 |
p = 0.0288228577-0.0004038479t-0.0000623289t2+2473ž10-10t3+423ž10-10t4-1ž10-10t5. |
a
=1.0000010178 |
λ
=100œ.46645683+1295977422".83429t-2".04411t2-0".00523t3 |
e
= 0.0167086342-0.0004203654t-0.0000126734t2+1444ž10-10t3-2ž10-10t4+3ž10-10t5
|
ω
= 102œ.93734808+11612".35290t+53".27577t2-0".14095t3+0".11440t4+0".00478t5 |
i
= 469".97289t-3".35053t2-0".12374t3+0".00027t4-0".00001t5+0".00001t6
|
Ω
= 174œ.87317577-8679".27034t+15".34191t2+0".00532t3-0".03734t4-0".00073t5+0".00004t6
|
k
= -0.0037408165-0.0008226742t+0.0000276246t2+1696ž10-10t3-270ž10-10t4-7ž10-10t5
|
h
= 0.0162844766-0.0006202965t-0.0000338263t2+8510ž10-10t3+277ž10-10t4-5ž10-10t5 |
q
= -0.0011346887t+0.0000123731t2+12654ž10-10t3-137ž10-10t4-3ž10-10t5 |
p
= 0.0001018038t+0.0000470200t2-5417ž10-10t3-251ž10-10t4+5ž10-10t5 |
a = 1.5236793419+3ž10-10t |
λ = 355œ.43299958+689050774".93988t+0".94264t2-0".01043t3 |
e = 0.0934006477+0.0009048438t-80641ž10-10t2-2519ž10-10t3+124ž10-10t4-10ž10-10t5 |
ω = 336œ.06023395+15980".45908t-62".32800t2+l".86464t3-0".04603t4-0".00164t5 |
i = 1œ.84972648-293".31722t-8".11830t2-0".10326t3-0".00153t4+0".00048t5 |
Ω = 49œ.55809321-10620".90088t-230".57416t2-7".06942t3-0".68920t4-0".05829t5 |
k = 0.0853656025+0.0037633015t-0.0002465778t2-36731ž10-10t3+111ž10-10t4 +3ž10-10t5 |
h = -0.0378997324+0.0062465746t+0.0001552948t2-63488ž10-10t3-659ž10-10t4 +7ž10-10t5 |
q = 0.0104704257+0.0001713853t-0.0000407749t2-13883ž10-10t3+92ž10-10t4 +18ž10-10t5 |
p = 0.0122844931-0.0010802008t-0.0000192222t2+8719ž10-10t3+309ž10-10t4 . |
a
= 5.2026032092+19132ž10-10t-39ž10-10t2-60ž10-10t3-10ž10-10t4+1ž10-10t5 |
λ = 34œ.35151874+109256603".77991t-30".60378t2+0".05706t3+0".04667t4-0".00591t5-0".00034t6 |
e
= 0.0484979255+0.0016322542t-0.0000471366t2-20063ž10-10t3+1018ž10-10t4-21ž10-10t5+1ž10-10t6 |
ω
= 14œ.33120687+7758".75163t+259".95938t2-16".14731t3+0".74704t4-0".02087t5-0".00016t6 |
i
= 1œ.30326698-71".55890t+11".95297t2+0".34909t3-0".02710t4-0".00124t5 +0".00003t6 |
Ω = 100œ.46440702+6362".03561t+326".52178t2-26".18091t3-2".10322t4+0".04459t5 +0".01154t6 |
k = 0.0469857457+0.0011300656t-0.0001092396t2-43089ž10-10t3+1963ž10-10t4+21ž10-10t5-2ž10-10t6 |
h
= 0.0120038766+0.0021714660t+0.0000985396t2-51635ž10-10t3-990ž10-10t4 +69ž10-10t5 |
q
= -0.0020656001-0.0003134485t-0.0000167052t2+7975ž10-10t3+365ž10-10t4-2ž10-10t5-1ž10-10t6 |
p
= 0.0111837479-0.0002342791t+0.0000208686t2+5272ž10-10t3-342ž10-10t4
+5ž10-10t5 |
a
= 9.5549091915-0.0000213896t+444ž10-10t2+670ž10-10t3+110ž10-10t4-7ž10-10t5-1ž10-10t6 |
λ = 50œ.07744430+43996098".55732t+75".61614t2-0".16618t3-0"11484t4-0".01452t5+0".00083t6 |
e = 0.0555481426-0.0034664062t-0.0000643639t2+33956ž10-10t3-219ž10-10t4-3ž10-10t5 +6ž10-10t6 |
ω = 93œ.05723748+20395".49439t+190".25952t2+17".68303t3+1".23148t4+0".10310t5
+0".00702t6 |
i
= 2œ.48887878+91".85195t-17".66225t2+0".06105t3+0".02638t4-0".00152t5
-0".00012t6 |
Ω =113œ.66550252-9240".19942t-66".23743t2
+1".72778t3+0".26990t4 +0".03610t5-0".00248t6 |
k = -0.0029599926-0.0052959042t+0.0003092222t2+0.0000129279t3-6347ž10-10t4-54ž10-10t5 +8ž10-10t6 |
h = 0.0554296096-0.0037559081t-0.000319842t2+0.0000159875t3+3022ž10-10t4-231ž10-10t5 +2ž10-10t6 |
q
= -0.0087174677+0.0008017413t+0.0000414442t2-19997ž10-10t3-896ž10-10t4
+6ž10-10t5 +2ž10-10t6 |
p
= 0.0198914760+0.0005944060t-0.0000523589t2-12993ž10-10t3+856ž10-10t4
-16ž10-10t5-1ž10-10t6 |
a
= 19.2184460618-3716ž10-10t+979ž10-10t2 |
λ = 314œ.05500511+15424811".93933t-1".75083t2+0".02156t3 |
e
= 0.0463812221-0.0002729293t+0.0000078913t2+2447ž10-10t3-171ž10-10t4 |
ω = 173œ.00529106+3215".56238t-34".09288t2+1".48909t3+0".06600t4 |
i
= 0œ.77319689-60".72723t+1".25759t2+0".05808t3+0".00031t4 |
Ω = 74œ.00595701+2669".15033t+145".93964t2
+0".42917t3-0".09120t4 |
k = -0.0459513238+0.0001834412t-0.0000008085t2-4540ž10-10t3+218ž10-10t4 |
h
= 0.0056379131-0.0007496435t+0.0000121020t2-4209ž10-10t3-171ž10-10t4 |
q
= 0.0018591507-0.0001244938t-0.0000020737t2+762ž10-10t3 |
p
= 0.0064861701-0.0001174473t+0.0000031780t2+732ž10-10t3 |
a
= 30.1103868694-16635ž10-10t+686ž10-10t2 |
λ = 304œ.34866548+7865503".20744t+0".21103t2-0".00895t3 |
e
= 0.0094557470+0.0000603263t+0t2-483ž10-10t3 |
ω = 48œ.12027554+1050".71912t+27".39717t2 |
i
= 1œ.76995259+8".12333t+0".08135t2-0".00046t3 |
Ω = 131œ.78405702-221".94322t-0".78728t2
-0".28070t3+0".00049t4 |
k = 0.0059997757+0.0000087130t-0.0000011990t2-403ž10-10t3 |
h
= 0.0066924241+0.0000782434t+0.0000008080t2-395ž10-10t3 |
q
= -0.0102914782-0.0000007273t-0.000000657t2+167ž10-10t3 |
p
= 0.0115168398+0.0000257554t+0.0000001938t2+133ž10-10t3 |
ÑÐÅÄÍÈÅ ÝËÅÌÅÍÒÛ ÎÐÁÈÒ,
îòíîñÿùèåñÿ ê ýêëèïòèêå è ðàâíîäåíñòâèþ äàòû |
Äàíû ñðåäíèå ýëåìåíòû îðáèò,
îòíîñÿùèåñÿ ê ýêëèïòèêå è ðàâíîäåíñòâèþ äàòû
[1].
Íà÷àëüíàÿ ýïîõà J 2000.0 ( JD = 2451545.0 ).
Ñèñòåìà êîîðäèíàò ýêëèïòè÷åñêàÿ.
t - áàðèöåíòðè÷åñêîå âðåìÿ (TDB) â òûñÿ÷àõ þëèàíñêèõ ëåò, îòñ÷èòûâàåìîå îò íà÷àëüíîé ýïîõè J2000.0 (JD=2451545.0), ò.å.
t = (JD - 2451545.0)/365250 .
Áîëüøàÿ ïîëóîñü ïðèâîäèòñÿ â àñòðîíîìè÷åñêèõ åäèíèöàõ,
e, k, h, q, p -
áåçðàçìåðíûå âåëè÷èíû. Äëÿ óãëîâ
λ ,
ω, i è Ω
ïîñòîÿííûå âåëè÷èíû ñîäåðæàò ãðàäóñû è äîëè ãðàäóñà
(
λ = ω
+ Ω +
M0),
à
êîýôôèöèåíòû ïðè ñòåïåíÿõ âðåìåíè ïðèâåäåíû â ñåêóíäàõ.
k = e cos
ω,
h = e sin ω,
q = sin i/2 cos Ω,
p = sin i/2 sin Ω
Ìåðêóðèé Þïèòåð
Âåíåðà Ñàòóðí
Çåìëÿ
Óðàí
Ìàðñ
Íåïòóí
a
= 0.3870983098 |
λ = 252œ.25090552+5381066598".20037t+109".25943t2+0".06522t3-0".23500t4-0".00179t5+0".00020t6
|
e
= 0.2056317526+0.0002040653t-28349ž10-10t2-1805ž10-10t3+23ž10-10t4-2ž10-10t5
|
ω
= 77œ.45611904+56030".42645t+106".35716t2+0".03418t3-0".23516t4-0".00176t5 +0".00020t6 |
i
= 7œ.00498625+65".57301t-6".51516t2+0".20113t3+0".00019t4-0".00019t5 |
Ω = 48œ.33089304+42700".01444t+63".14994t2+0".77259t3-0".20893t4-0".00219t5 +0".00016t6 |
k = 0.0446605976-0.0544807963t-0.0018059782t2+0.0006632523t3+0.0000149034t4-23668ž10-10t5-597ž10-10t6 |
h = 0.2007233137+0.0123309371t-0.0073733874t2-0.0001849726t3+0.000044500t4+10075ž10-10t5-1028ž10-10t6
|
q = 0.0406156338-0.0093417782t-0.0009192871t2+0.0000651977t3-37416ž10-10t4-1284ž10-10t5-67ž10-10t6 |
p = 0.0456355046+0.0085265821t-0.0009553697t2-0.0000671085t3-33005ž10-10t4 +1711ž10-10t5-37ž10-10t6 |
a
= 0.7233298200 |
λ = 181œ.97980085+2106691666".31989t+111".65021t2+0".05368t3-0".23516t4-0".00179t5+0".00020t6
|
e
= 0.0067719164-0.0004776521t+98127ž10-10t2+4639ž10-10t3+123ž10-10t4-3ž10-10t5
|
ω
= 131œ.56370300+50477".47081t-387".42545t2-20".44048t3-0".95948t4+0".00044t5 +0".00020t6 |
i
= 3œ.39466189+36".13261t-0".31523t2-0".02525t3+0".00085t4-0".00008t5 |
Ω = 76œ.67992019+32437".57636t+146".22586t2-0".33446t3-0".23007t4-0".00088t5 +0".00009t6 |
k
= -0.0044928213-0.0009230666t+0.0002250026t2-0.0000014513t3-16810ž10-10t4 +627ž10-10t5 +50ž10-10t6 |
h = 0.0050668473-0.0014568806t-0.0000583901t2+0.0000226090t3-6041ž10-10t4 -998ž10-10t5 +43ž10-10t6
|
q
= 0.0068241014-0.0045125642t-0.0001183914t2+0.0000177623t3+5244ž10-10t4
-173ž10-10t5-11ž10-10t6 |
p
= 0.0288228577+0.0011583648t-0.0003491466t2-0.0000087743t3+6535ž10-10t4+264ž10-10t5-2ž10-10t6 |
a
= 1.0000010178 |
λ
= 100œ.46645683+1296027711".03429t+109".15809t2+0".07207t3-0".23530t4-0".00180t5+0".00020t6 |
e
= 0.0167086342-0.0004203654t-0.0000126734t2+1444ž10-10t3-2ž10-10t4+3ž10-10t5
|
ω
= 102œ.93734808+61900".55290t+164".47797t2-0".06365t3-0".12090t4+0".00298t5+0".00020t6 |
k
= -0.0037408165-0.0047928949t+0.0002812540t2+0.0000740171t3-26974ž10-10t4-3810ž10-10t5+86ž10-10t6
|
h
= 0.0162844766-0.0015323228t-0.0007203925t2+0.0000324712t3+58589ž10-10t4-1719ž10-10t5-213ž10-10t6 |
a = 1.5236793419+3ž10-10t |
λ = 355œ.43299958+689101069".33069t+111".78674t2+0".05624t3-0".23516t4-0".00180t5+0".00020t6 |
e = 0.0934006477+0.0009048438t-80641ž10-10t2-2519ž10-10t3+124ž10-10t4-10ž10-10t5 |
ω = 336œ.06023395+66274".84990t+48".51610t2+l".93131t3-0".28118t4-0".00344t5+0".00020t6 |
i = 1œ.84972648-21".63885t+4".59350t2-0".02376t3-0".01708t4+0".00065t5+0".00005t6 |
Ω = 49œ.55809321+27792".68736t+5".60611t2+8".16222t3-0".45709t4-0".04722t5+0".00435t6 |
k =0.0853656025+0.0130045425t-0.0042870473t2-0.0002595083t3+0.0000354092t4+15988ž10-10t5-1104ž10-10t6 |
h = -0.0378997324+0.0270616164t+0.0022454557t2-0.0004514091t3-0.0000226552t4+21921ž10-10t5+959ž10-10t6 |
q = 0.0104704257-0.0016892678t-0.0000827820t2+0.0000036153t3+169ž10-10t4 +142ž10-10t5+3ž10-10t6 |
p = 0.0122844931+0.0013708983t-0.0001073425t2-0.0000026091t3-231ž10-10t4-34ž10-10t5+14ž10-10t6 |
a
= 5.2026032092+19132ž10-10t-39ž10-10t2-60ž10-10t3-10ž10-10t4+1ž10-10t5 |
λ = 34œ.35151874+109306899".89453t+80".38700t2+0".13327t3-0".18850t4+0".00411t5-0".00014t6 |
e
= 0.0484979255+0.0016322542t-0.0000471366t2-20063ž10-10t3+1018ž10-10t4-21ž10-10t5+1ž10-10t6 |
ω
= 14œ.33120687+58054".86625t+370".95016t2-16".07110t3+0".51186t4-0".02268t5+0".00004t6 |
i
= 1œ.30326698-197".87442t+1".67744t2-0".00838t3-0".00737t4+0".00085t5
+0".00004t6 |
Ω = 100œ.46440702+36755".18747t+145".13295t2+1".45556t3-0".59609t4-0".04324t5 +0".00175t6 |
k = 0.0469857457-0.0017969926t-0.0020420604t2-0.0000402595t3+0.0000168641t4+6000ž10-10t5-623ž10-10t6 |
h = 0.0120038766+0.0136285825t+0.0000425103t2-0.0002108419t3-0.0000061928t4+11097ž10-10t5+444ž10-10t6 |
q
= -0.0020656001-0.0019057660t+0.0001082507t2+0.0000089680t3-3638ž10-10t4-117ž10-10t5-7ž10-10t6 |
p
= 0.0111837479-0.0008397312t-0.0001594973t2+0.0000079342t3+3790ž10-10t4
-67ž10-10t5-1ž10-10t6 |
a
=9.5549091915-0.0000213896t+444ž10-10t2+670ž10-10t3+110ž10-10t4-7ž10-10t5-1ž10-10t6 |
λ =50œ.07744430+44046398".47038t+186".86817t2-0".10748t3-0"35004t4-0".01630t5+0".00103t6 |
e
=0.0555481426-0.0034664062t-0.0000643639t2+33956ž10-10t3-219ž10-10t4-3ž10-10t5+6ž10-10t6 |
ω
=93œ.05723748+70695".40745t+301".51155t2+17".74174t3+0".99628t4+0".10132t5
+0".00722t6 |
i
=2œ.48887878-134".50388t-5".46800t2+0".31168t3+0".03207t4-0".00237t5
-0".00023t6 |
Ω =113œ.66550252+31575".16875t-43".83321t2
-8".09520t3+0".18433t4 +0".06867t5
-0".00276t6 |
k=-0.0029599926-0.0188130068t+0.0012832568t2+0.0003847521t3-0.0000214188t4-25250ž10-10t5+1149ž10-10t6 |
h= 0.0554296096-0.0044777281t-0.0032610492t2+0.0002000704t3+0.0000346305t4-17436ž10-10t5-1558ž10-10t6 |
q
= -0.0087174677-0.0029141582t+0.0001573853t2+0.0000123470t3-7068ž10-10t4
-347ž10-10t5+38ž10-10t6 |
p
= 0.0198914760-0.0016330327t-0.0002233181t2+0.0000111755t3+6174ž10-10t4-482ž10-10t5-24ž10-10t6 |
a
= 19.2184460618-3716ž10-10t+979ž10-10t2 |
λ = 314œ.05500511+15475106".01961t+109".40272t2+0".09474t3-0".23521t4-0".00180t5+0".00020t6 |
e
= 0.0463812221-0.0002729293t+0.0000078913t2+2447ž10-10t3-171ž10-10t4 |
ω = 173œ.00529106+53509".64266t+77".06068t2+1".56227t3-0".16921t4 0".00180t5+0".00020t6 |
i
= 0œ.77319689+27".87845t+13".49529t2-0".33095t3-0".03444t4+0".00171t5+0".00012t6 |
Ω =74œ.00595701+18760".59902t+482".21068t2
+66".54269t3-3".52490t4-0".32819t5+0".03056t6 |
k = -0.0459513238-0.0011912655t+0.0015449434t2+0.0000112035t3-83536ž10-10t4-513ž10-10t5+165ž10-10t6 |
h
= 0.0056379131-0.0119540733t-0.0001355308t2+0.0001320336t3+7849ž10-10t4-4140ž10-10t5-33ž10-10t6 |
q
= 0.0018591508-0.0005713216t-0.0000197484t2-49846ž10-10t3+391ž10-10t4+267ž10-10t5+3ž10-10t6 |
p
= 0.0064861701+0.0002340588t+0.0000106579t2-11892ž10-10t3-4589ž10-10t4-14ž10-10t5+12ž10-10t6 |
a
= 30.1103868694-16635ž10-10t+686ž10-10t2 |
λ = 304œ.34866548+7915799".13277t+111".17536t2+0".06468t3-0".23514t4-0".00180t5+0".00020t6 |
e
= 0.0094557470+0.0000603263t+0t2-483ž10-10t3 |
ω = 48œ.12027554+51346".64445t+138".36149t2+0".07363t3-0".23514t4-0".00180t5+0".00020t6 |
i
= 1œ.76995259-335".09412t-2".54991t2+0".09845t3+0".00101t4-0".00005t5-0".00001t6 |
Ω = 131œ.78405702+39679".34159t+93".42773t2-2".29323t3-0".33948t4-0".00479t5-0".00006t6 |
k = 0.0059997757-0.0016231779t-0.0002022477t2+0.0000148438t3+12298ž10-10t4-323ž10-10t5-33ž10-10t6 |
h
= 0.0066924241+0.0015412377t-0.0001928011t2-0.0000180270t3+8157ž10-10t4+686ž10-10t5-8ž10-10t6 |
q
= -0.0102914782-0.0016743192t+0.0003058350t2+56782ž10-10t3-13752ž10-10t4-133ž10-10t5+25ž10-10t6 |
p
= 0.0115168399-0.0025854022t-0.0001182648t2+237436ž10-10t3+2469ž10-10t4-639ž10-10t5-9ž10-10t6 |
Ñðåäíÿÿ àíîìàëèÿ |
289.27991666 ãðàä |
Àðãóìåíò ïåðèãåëèÿ |
113.34214416 ãðàä |
Äîëãîòà âîñõ. óçëà |
109.60685333 ãðàä |
Íàêëîí |
17.122599167 ãðàä |
Ýêñöåíòðèñèòåò |
0.2459387823 |
Áîëüøàÿ ïîëóîñü |
39.5181761979 à.å. |
Ñðåäíåå äâèæåíèå |
6.9244599.10-5 ðàä/ñóò = 3.9674232.10-3ãðàä/ñóò |
Ëèòåðàòóðà:
- J.L. Simon, P. Bretagnon, J. Chapront, M.
Chapront-Touzé, G. Francon, J.Laskar (1994).
Numerical expressions for precession formulae and mean elements for the Moon
and the planets.
Astron. Astrophys., v. 282, p. 663-683.
- Bretagnon P. (1982). Theorie du mouvement de
l'ensemble des planetes. Solution VSOP82.
Astron. Astrophys., V. 114, p. 278 - 288.
Êóðàòîð: Â.Ñ.Óðàëüñêàÿ
ural@sai.msu.ru