DELTA_T_500_YEAR_CHECKPOINTS - TheDaniel166/moira GitHub Wiki
Delta-T 500-Year Checkpoints
Status: verified in the project .venv
Purpose
This appendix records the full 500-year checkpoint table for the Moon's Delta-T perturbation symmetry challenge across the supported DE441 ephemeris interior.
Method
- Checkpoints are sampled at
year-01-01 12:00 TTevery 500 years. - Rows are included only when the TT epoch falls inside the shared public planetary coverage used by Moira's main ephemeris paths.
UT JDis the corresponding UT epoch fromtt_to_ut().baseline Delta-T (s)is the exact TT minus UT offset at that checkpoint.dLon +1smeans Moon longitude shift when Delta-T is increased by 1 second.dLon -1smeans Moon longitude shift when Delta-T is decreased by 1 second.symmetry residualisabs(dLon(+1s) + dLon(-1s)).- RA/Dec columns are topocentric values for latitude
51.5, longitude-0.1. angular ratiocompares the on-sky RA/Dec displacement to the expected one-second angular rate from the Moon's reported longitude speed.
| Year | TT JD | UT JD | baseline Delta-T (s) | dLon +1s (deg) | dLon -1s (deg) | symmetry residual (deg) | dRA +1s (deg) | dRA -1s (deg) | dDec +1s (deg) | dDec -1s (deg) | angular ratio +1s | angular ratio -1s |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| -13000 | -3027092.0 | -3027100.149068812 | 704079.545389116 | 0.000172161058970 | -0.000172161045612 | 0.000000000013358 | 0.000185562347724 | -0.000185562353352 | -0.000010427534615 | 0.000010427322295 | 1.003918737 | 1.003918693 |
| -12500 | -2844471.0 | -2844478.608546551 | 657378.421993554 | 0.000136165455615 | -0.000136292390209 | 0.000000126934594 | 0.000130999674496 | -0.000131115245949 | -0.000041693848366 | 0.000041740131225 | 1.002855083 | 1.003761123 |
| -12000 | -2661850.0 | -2661857.086484890 | 612272.294493020 | 0.000157520837774 | -0.000157645158737 | 0.000000124320962 | 0.000159566184777 | -0.000159687850783 | -0.000038947795774 | 0.000038990554978 | 1.011882651 | 1.012674530 |
| -11500 | -2479228.0 | -2479234.582975478 | 568769.081331789 | 0.000158163392598 | -0.000158163353376 | 0.000000000039222 | 0.000169352749310 | -0.000169352748230 | 0.000016217320621 | -0.000016217139752 | 0.992265824 | 0.992265699 |
| -11000 | -2296607.0 | -2296613.098018315 | 526868.782429397 | 0.000141687279495 | -0.000141535648993 | 0.000000151630502 | 0.000129091859151 | -0.000128947705889 | 0.000062104631562 | -0.000062055765049 | 0.999588740 | 0.998535964 |
| -10500 | -2113986.0 | -2113991.631613401 | 486571.397826076 | 0.000164054094739 | -0.000163969497635 | 0.000000084597104 | 0.000148137481062 | -0.000148070557202 | 0.000078012658145 | -0.000077965310612 | 1.011844636 | 1.011352926 |
| -10000 | -1931365.0 | -1931370.183760736 | 447876.927562058 | 0.000140248488719 | -0.000140030192938 | 0.000000218295781 | 0.000146410130725 | -0.000146180408166 | 0.000038078624534 | -0.000038033463102 | 0.998556834 | 0.997018284 |
| -9500 | -1748743.0 | -1748747.754460319 | 410785.371597111 | 0.000157415926026 | -0.000156959439352 | 0.000000456486674 | 0.000160470027311 | -0.000160023507078 | -0.000040573724213 | 0.000040414195219 | 0.996785091 | 0.993934849 |
| -9000 | -1566122.0 | -1566126.343712152 | 375296.729911119 | 0.000155059501225 | -0.000155059455693 | 0.000000000045532 | 0.000147933087703 | -0.000147933076477 | -0.000054037099984 | 0.000054037048511 | 1.013037083 | 1.013036901 |
| -8500 | -1383501.0 | -1383504.951516233 | 341411.002544314 | 0.000136883380009 | -0.000137202863414 | 0.000000319483405 | 0.000139357486063 | -0.000139680455192 | -0.000028395157942 | 0.000028462023343 | 1.000429571 | 1.002749728 |
| -8000 | -1200880.0 | -1200883.577933292 | 309133.436400443 | 0.000175914239833 | -0.000175914248643 | 0.000000000008811 | 0.000184039900319 | -0.000184039963926 | 0.000022418146187 | -0.000022417958093 | 0.986967269 | 0.986967466 |
| -7500 | -1018258.0 | -1018261.222838779 | 278453.270483762 | 0.000142014768528 | -0.000142014739367 | 0.000000000029161 | 0.000128451305613 | -0.000128451312662 | 0.000059260771184 | -0.000059260730780 | 0.989726054 | 0.989725979 |
| -7000 | -835637.0 | -835639.886296515 | 249376.018876210 | 0.000145563777693 | -0.000145563809127 | 0.000000000031434 | 0.000141865788720 | -0.000141865733610 | 0.000055412643238 | -0.000055412763103 | 1.002728818 | 1.002728797 |
| -6500 | -653016.0 | -653018.568306500 | 221901.681577787 | 0.000170083031577 | -0.000170212356522 | 0.000000129324945 | 0.000189681434676 | -0.000189825716518 | 0.000032573432016 | -0.000032596717354 | 1.014010103 | 1.014779759 |
| -6000 | -470395.0 | -470397.268868733 | 196030.258573405 | 0.000137577808744 | -0.000137458892880 | 0.000000118915864 | 0.000147429219567 | -0.000147304092650 | -0.000029929846022 | 0.000029895125703 | 1.008366767 | 1.007496337 |
| -5500 | -287773.0 | -287774.987983216 | 171761.749878153 | 0.000159838022199 | -0.000159838067304 | 0.000000000045105 | 0.000146971710080 | -0.000146971746176 | -0.000061315921504 | 0.000061315940452 | 0.996535248 | 0.996535502 |
| -5000 | -105152.0 | -105153.725649948 | 149096.155487001 | 0.000152017418856 | -0.000151861033629 | 0.000000156385227 | 0.000149562613871 | -0.000149406247999 | -0.000037078437266 | 0.000037050146974 | 0.986209968 | 0.985195973 |
| -4500 | 77469.0 | 77467.518131072 | 128033.475399949 | 0.000146056075778 | -0.000145929689950 | 0.000000126385828 | 0.000149735281866 | -0.000149605226966 | 0.000021607047671 | -0.000021591813212 | 0.984361690 | 0.983510351 |
| -4000 | 260090.0 | 260088.743359842 | 108573.709614482 | 0.000167115433158 | -0.000167115435772 | 0.000000000002615 | 0.000153420133529 | -0.000153420181391 | 0.000063523459382 | -0.000063523413508 | 0.986309824 | 0.986309980 |
| -3500 | 442712.0 | 442710.950003464 | 90719.700724818 | 0.000139568061229 | -0.000139478245160 | 0.000000089816069 | 0.000133629138872 | -0.000133549282737 | 0.000052006529497 | -0.000051956269971 | 0.993859051 | 0.993213628 |
| -3000 | 625333.0 | 625332.138130829 | 74465.496397018 | 0.000160297351272 | -0.000160850910873 | 0.000000553559602 | 0.000181330335238 | -0.000181957786538 | 0.000006077399256 | -0.000006110793450 | 0.996309406 | 0.999759829 |
| -2500 | 807954.0 | 807953.307705945 | 59814.206373319 | 0.000157167200484 | -0.000157167170727 | 0.000000000029758 | 0.000167446543230 | -0.000167446615762 | -0.000036682047359 | 0.000036681855239 | 1.000847820 | 1.000847945 |
| -2000 | 990575.0 | 990574.458345486 | 46798.950002342 | 0.000140215483412 | -0.000140215512346 | 0.000000000028933 | 0.000128041699071 | -0.000128041750656 | -0.000056230761048 | 0.000056230749572 | 0.994903001 | 0.994903304 |
| -1500 | 1173197.0 | 1173196.587510417 | 35639.099992812 | 0.000168946310055 | -0.000168946299880 | 0.000000000010175 | 0.000168302540175 | -0.000168302471877 | -0.000040383912580 | 0.000040384034518 | 0.990187768 | 0.990187564 |
| -1000 | 1355818.0 | 1355817.700010417 | 25919.100008905 | 0.000144692359640 | -0.000144950363676 | 0.000000258004036 | 0.000151157286155 | -0.000151426782622 | 0.000010248389867 | -0.000010267183821 | 0.989624559 | 0.991389207 |
| -500 | 1538439.0 | 1538438.805562597 | 16799.391659349 | 0.000152268815157 | -0.000152268875922 | 0.000000000060766 | 0.000140757298198 | -0.000140757375959 | 0.000054704458927 | -0.000054704454775 | 0.988628729 | 0.988629193 |
| 0 | 1721060.0 | 1721059.877666908 | 10569.579161704 | 0.000159896943700 | -0.000159896898055 | 0.000000000045645 | 0.000146527934930 | -0.000146527843441 | 0.000064212904494 | -0.000064212944393 | 0.990855915 | 0.990855499 |
| 500 | 1903682.0 | 1903681.935180363 | 5600.416675955 | 0.000138019906473 | -0.000138019890358 | 0.000000000016115 | 0.000153492339848 | -0.000153492289257 | 0.000011119097060 | -0.000011119270180 | 0.993384004 | 0.993383781 |
| 1000 | 2086303.0 | 2086302.982983314 | 1470.241673291 | 0.000168557603388 | -0.000168557664011 | 0.000000000060624 | 0.000172078262409 | -0.000172078441977 | -0.000049570200254 | 0.000049570031628 | 0.994023176 | 0.994023826 |
| 1500 | 2268924.0 | 2268923.996642651 | 290.074990690 | 0.000148492429133 | -0.000148492394430 | 0.000000000034703 | 0.000138206376818 | -0.000138206393757 | -0.000057310423820 | 0.000057310350053 | 0.994285801 | 0.994285712 |
| 2000 | 2451545.0 | 2451544.999261487 | 63.807499409 | 0.000139135956061 | -0.000139135713937 | 0.000000000242125 | 0.000134914928935 | -0.000134914642615 | -0.000043087759229 | 0.000043087777188 | 0.998896353 | 0.998894477 |
| 2500 | 2634167.0 | 2634166.983103457 | 1459.861323237 | 0.000177460915950 | -0.000177469876917 | 0.000000008960967 | 0.000188253404758 | -0.000188262908694 | 0.000007609172044 | -0.000007609613352 | 1.002724019 | 1.002774655 |
| 3000 | 2816788.0 | 2816787.948657469 | 4435.994687676 | 0.000140665494143 | -0.000140665477204 | 0.000000000016939 | 0.000136369918664 | -0.000136369939582 | 0.000042415513319 | -0.000042415454649 | 0.999170836 | 0.999170849 |
| 3500 | 2999409.0 | 2999408.895692963 | 9012.128023803 | 0.000147001556314 | -0.000146995810837 | 0.000000005745477 | 0.000138692506340 | -0.000138687972793 | 0.000052560403377 | -0.000052556026846 | 0.992119600 | 0.992080651 |
| 4000 | 3182030.0 | 3182029.824209938 | 15188.261331618 | 0.000168236888612 | -0.000168211742562 | 0.000000025146051 | 0.000173456073014 | -0.000173430774680 | 0.000044196634651 | -0.000044188321539 | 0.991147083 | 0.990999583 |
| 4500 | 3364652.0 | 3364651.734208395 | 22964.394691586 | 0.000137641175854 | -0.000137706410158 | 0.000000065234303 | 0.000149514170573 | -0.000149585212796 | -0.000027810003303 | 0.000027823113289 | 1.004542366 | 1.005019526 |
| 5000 | 3547273.0 | 3547272.625688333 | 32340.528023243 | 0.000158920519823 | -0.000158893850426 | 0.000000026669397 | 0.000146947372627 | -0.000146925124000 | -0.000066140765057 | 0.000066125601934 | 1.006894087 | 1.006728248 |
| 5500 | 3729894.0 | 3729893.498672469 | 43314.698673785 | 0.000155080561512 | -0.000155091172900 | 0.000000010611387 | 0.000144163204880 | -0.000144175976715 | -0.000055485917133 | 0.000055484831869 | 0.993482179 | 0.993556263 |
| 6000 | 3912515.0 | 3912514.353118457 | 55890.565323830 | 0.000138171648132 | -0.000138113890500 | 0.000000057757632 | 0.000142466504258 | -0.000142406835153 | -0.000012105835381 | 0.000012103254530 | 0.984792778 | 0.984381922 |
| 6500 | 4095137.0 | 4095136.189045926 | 70066.431985795 | 0.000171123690222 | -0.000171123743996 | 0.000000000053774 | 0.000167664791149 | -0.000167664887954 | 0.000048553600474 | -0.000048553533578 | 1.003969179 | 1.003969602 |
| 7000 | 4277758.0 | 4277757.006454877 | 85842.298659682 | 0.000145497773246 | -0.000145460550243 | 0.000000037223003 | 0.000134148292545 | -0.000134110623776 | 0.000056595673192 | -0.000056590455211 | 1.000304400 | 1.000052049 |
| 7500 | 4460379.0 | 4460377.805345309 | 103218.165305257 | 0.000140785848799 | -0.000140785874009 | 0.000000000025210 | 0.000146076176094 | -0.000146076127095 | 0.000034364437568 | -0.000034364576898 | 0.992571395 | 0.992571326 |
| 8000 | 4643000.0 | 4642998.585717222 | 122194.032043219 | 0.000177487848532 | -0.000177487833042 | 0.000000000015490 | 0.000201678587700 | -0.000201678567095 | -0.000000407161231 | 0.000000406866967 | 1.010541442 | 1.010541335 |
| 8500 | 4825622.0 | 4825620.347570618 | 142769.898632169 | 0.000141018736599 | -0.000140919842664 | 0.000000098893935 | 0.000137976594630 | -0.000137883772510 | -0.000047572282394 | 0.000047532196138 | 0.998829042 | 0.998137694 |
| 9000 | 5008243.0 | 5008241.090905494 | 164945.765313506 | 0.000145634959068 | -0.000145635003321 | 0.000000000044253 | 0.000135204364483 | -0.000135204383298 | -0.000052108279121 | 0.000052108317457 | 0.991415431 | 0.991415646 |
| 9500 | 5190864.0 | 5190861.815721852 | 188721.632006764 | 0.000170430597251 | -0.000170430540152 | 0.000000000057099 | 0.000173809988070 | -0.000173809882341 | -0.000032914355558 | 0.000032914470104 | 1.002808999 | 1.002808541 |
| 10000 | 5373485.0 | 5373482.522019691 | 214097.498711944 | 0.000138198722539 | -0.000138198711056 | 0.000000000011482 | 0.000141022756452 | -0.000141022774585 | 0.000019011699806 | -0.000019011602788 | 0.983396421 | 0.983396447 |
| 10500 | 5556107.0 | 5556104.209799012 | 241073.365348577 | 0.000153585170892 | -0.000153542946464 | 0.000000042224428 | 0.000143082029183 | -0.000143038121962 | 0.000059049150293 | -0.000059042038599 | 1.006683782 | 1.006402213 |
| 11000 | 5738728.0 | 5738724.879059815 | 269649.231997132 | 0.000161206664728 | -0.000161269377344 | 0.000000062712616 | 0.000152474977995 | -0.000152527780784 | 0.000060099951584 | -0.000060140406045 | 0.990620066 | 0.991008909 |
| 11500 | 5921349.0 | 5921345.529802099 | 299825.098657608 | 0.000137731031998 | -0.000137731019407 | 0.000000000012591 | 0.000154249221282 | -0.000154249162676 | 0.000016092513270 | -0.000016092679978 | 1.009460916 | 1.009460677 |
| 12000 | 6103970.0 | 6103966.162025864 | 331600.965330005 | 0.000166968718759 | -0.000166699943918 | 0.000000268774841 | 0.000172893692223 | -0.000172620660578 | -0.000038575979762 | 0.000038499160020 | 0.993199260 | 0.991608629 |
| 12500 | 6286592.0 | 6286587.775731111 | 364976.832014322 | 0.000156036925858 | -0.000156144220171 | 0.000000107294312 | 0.000147705997421 | -0.000147798961507 | -0.000055693345979 | 0.000055751830297 | 1.008126954 | 1.008814672 |
| 13000 | 6469213.0 | 6469208.370917839 | 399952.698710561 | 0.000137173945802 | -0.000137296334827 | 0.000000122389025 | 0.000134633035032 | -0.000134757267489 | -0.000031471338927 | 0.000031487976853 | 0.986004832 | 0.986893595 |
| 13500 | 6651834.0 | 6651828.947586049 | 436528.565338254 | 0.000167751176775 | -0.000167751197125 | 0.000000000020350 | 0.000177558674466 | -0.000177558726193 | 0.000012701523559 | -0.000012701367773 | 1.004061861 | 1.004062082 |
| 14000 | 6834455.0 | 6834449.505735741 | 474704.431977868 | 0.000154278727393 | -0.000154041258497 | 0.000000237468896 | 0.000148570830618 | -0.000148335671440 | 0.000048698945209 | -0.000048644167816 | 0.989319501 | 0.987799878 |
| 14500 | 7017077.0 | 7017071.045366913 | 514480.298709869 | 0.000137681692138 | -0.000137678567000 | 0.000000003125137 | 0.000127495412983 | -0.000127486906990 | 0.000057111391238 | -0.000057126913438 | 1.001064636 | 1.001055888 |
| 15000 | 7199698.0 | 7199691.566479567 | 555856.165373325 | 0.000163012249743 | -0.000163212952884 | 0.000000200703141 | 0.000173234712463 | -0.000173444471670 | 0.000041247753000 | -0.000041301773326 | 1.005380300 | 1.006603916 |
| 15500 | 7382319.0 | 7382312.069073704 | 598832.031968236 | 0.000156465564032 | -0.000156187244897 | 0.000000278319135 | 0.000171896845444 | -0.000171592053391 | 0.000000504696803 | -0.000000520584912 | 0.997047096 | 0.995279574 |
| 16000 | 7564940.0 | 7564932.553149321 | 643407.898655534 | 0.000140338288134 | -0.000140136566273 | 0.000000201721861 | 0.000139956120790 | -0.000139764540165 | -0.000040060741437 | 0.000039982099585 | 1.011053764 | 1.009621889 |
| 16500 | 7747562.0 | 7747554.018706420 | 689583.765354753 | 0.000160264633678 | -0.000160304491658 | 0.000000039857980 | 0.000155385188975 | -0.000155426128487 | -0.000045177099212 | 0.000045177448294 | 1.000821168 | 1.001064508 |
| 17000 | 7930183.0 | 7930174.465745000 | 737359.631985426 | 0.000154575683297 | -0.000154753954320 | 0.000000178271023 | 0.000160465736144 | -0.000160650466910 | -0.000015886746791 | 0.000015913239121 | 0.990876518 | 0.992022750 |