for one compete orbit, r_exact=1, nsteps dt=1/nsteps error dr=|r-r_exact| dr/r_exact rel error% 1000 0.0010000000474975 0.1948182396031535E-06 0.00001948 500 0.0020000000949949 0.1558546962206241E-05 0.00015585 333 0.0030000001424924 0.5254845547551573E-05 0.00052548 250 0.0040000001899898 0.1246844313010885E-04 0.00124684 200 0.0050000002374873 0.2435257093975907E-04 0.00243526 167 0.0060000002849847 0.4216577509819541E-04 0.00421658 143 0.0070000003324822 0.6689167765492579E-04 0.00668917 125 0.0080000003799796 0.9975182345677242E-04 0.00997518 111 0.0090000004274771 0.1418903433601620E-03 0.01418903 100 0.0100000004749745 0.1948368177684863E-03 0.01948368 91 0.0110000005224720 0.2595953013211707E-03 0.02595953 83 0.0120000005699694 0.3353541631632033E-03 0.03353542 77 0.0130000006174669 0.4285330530848810E-03 0.04285331 71 0.0140000006649643 0.5315109310704143E-03 0.05315109 67 0.0150000007124618 0.6610109011687746E-03 0.06610109 62 0.0160000007599592 0.7918948987284377E-03 0.07918949 59 0.0170000008074567 0.9604586609414197E-03 0.09604587 56 0.0180000008549541 0.1145901915449843E-02 0.11459019 53 0.0190000009024516 0.1346483505377719E-02 0.13464835 50 0.0200000009499490 0.1559712261247921E-02 0.15597123 48 0.0210000009974465 0.1820230929747083E-02 0.18202309 45 0.0220000010449439 0.2055696486787210E-02 0.20556965 43 0.0230000010924414 0.2346901260615299E-02 0.23469013 42 0.0240000011399388 0.2718224635458025E-02 0.27182246 40 0.0250000011874363 0.3048440115039804E-02 0.30484401 38 0.0260000012349337 0.3388462274500950E-02 0.33884623 37 0.0270000012824312 0.3837721102144593E-02 0.38377211 36 0.0280000013299286 0.4319649520081404E-02 0.43196495 34 0.0290000013774261 0.4695244502575031E-02 0.46952445 33 0.0300000014249235 0.5220247671260429E-02 0.52202477 32 0.0310000014724210 0.5772963008043198E-02 0.57729630 31 0.0320000015199184 0.6351525599084530E-02 0.63515256 30 0.0330000015674159 0.6953634660369711E-02 0.69536347 29 0.0340000016149133 0.7576528236148804E-02 0.75765282 29 0.0350000016624108 0.8511665984140661E-02 0.85116660 28 0.0360000017099083 0.9201231047561048E-02 0.92012310 27 0.0370000017574057 0.9903378495126891E-02 0.99033785 26 0.0380000018049032 0.1061342343017933E-01 1.06134234 26 0.0390000018524006 0.1178179862775219E-01 1.17817986 25 0.0400000018998981 0.1254012794065201E-01 1.25401279 24 0.0410000019473955 0.1329253587016703E-01 1.32925359 24 0.0420000019948930 0.1464657405384224E-01 1.46465741 23 0.0430000020423904 0.1542661497137248E-01 1.54266150 23 0.0440000020898879 0.1692390220898475E-01 1.69239022 22 0.0450000021373853 0.1771636205504255E-01 1.77163621 22 0.0460000021848828 0.1935865502407683E-01 1.93586550 21 0.0470000022323802 0.2014493623679794E-01 2.01449362 21 0.0480000022798777 0.2193232375597002E-01 2.19323238 20 0.0490000023273751 0.2269016946699971E-01 2.26901695 20 0.0500000023748726 0.2462088283420521E-01 2.46208828 20 0.0510000024223700 0.2667457117518419E-01 2.66745712 19 0.0520000024698675 0.2739431522392724E-01 2.73943152 19 0.0530000025173649 0.2959155415520639E-01 2.95915542 19 0.0540000025648624 0.3192132652716803E-01 3.19213265 18 0.0550000026123598 0.3255021918639873E-01 3.25502192 18 0.0560000026598573 0.3502025382916896E-01 3.50202538 18 0.0570000027073547 0.3763190896775100E-01 3.76319090 17 0.0580000027548522 0.3810488646801294E-01 3.81048865 17 0.0590000028023496 0.4084945652494024E-01 4.08494565 17 0.0600000028498471 0.4374409662575967E-01 4.37440966 16 0.0610000028973445 0.4398252728770357E-01 4.39825273 16 0.0620000029448420 0.4699808995697389E-01 4.69980900 16 0.0630000029923394 0.5017134662039656E-01 5.01713466 16 0.0640000030398369 0.5350840090873891E-01 5.35084009 15 0.0650000030873343 0.5335871276400194E-01 5.33587128 15 0.0660000031348318 0.5679991456313577E-01 5.67999146 15 0.0670000031823292 0.6041157000784535E-01 6.04115700 15 0.0680000032298267 0.6420005185494380E-01 6.42000519 14 0.0690000032773241 0.6348594533277790E-01 6.34859453 14 0.0700000033248216 0.6735302592899534E-01 6.73530259 14 0.0710000033723190 0.7140228811138762E-01 7.14022881 14 0.0720000034198165 0.7564033400925064E-01 7.56403340 14 0.0730000034673140 0.8007398387435554E-01 8.00739839 14 0.0740000035148114 0.8471028590534152E-01 8.47102859 13 0.0750000035623089 0.8290178335554598E-01 8.29017834 13 0.0760000036098063 0.8757431138340630E-01 8.75743114 13 0.0770000036573038 0.9245305945731381E-01 9.24530595 13 0.0780000037048012 0.9754526132603827E-01 9.75452613 13 0.0790000037522987 0.1028583962097114E+00 10.28583962 12 0.0800000037997961 0.9965991869839181E-01 9.96599187 12 0.0810000038472936 0.1049507773606463E+00 10.49507774 12 0.0820000038947910 0.1104636773994769E+00 11.04636774 12 0.0830000039422885 0.1162062002701971E+00 11.62062003 12 0.0840000039897859 0.1221861867555736E+00 12.21861868 12 0.0850000040372834 0.1284117487136629E+00 12.84117487 12 0.0860000040847808 0.1348912814316947E+00 13.48912814 11 0.0870000041322783 0.1291010311573159E+00 12.91010312 11 0.0880000041797757 0.1354581987933528E+00 13.54581988 11 0.0890000042272732 0.1420666177399198E+00 14.20666177 11 0.0900000042747706 0.1489346582578115E+00 14.89346583 11 0.0910000043222681 0.1560709824022449E+00 15.60709824 11 0.0920000043697655 0.1634845571445103E+00 16.34845571 11 0.0930000044172630 0.1711846681461561E+00 17.11846681 11 0.0940000044647604 0.1791809342184303E+00 17.91809342 11 0.0950000045122579 0.1874833225015025E+00 18.74833225 10 0.0960000045597553 0.1767885468857239E+00 17.67885469 10 0.0970000046072528 0.1847872481714936E+00 18.47872482 10 0.0980000046547502 0.1930826999295118E+00 19.30826999 10 0.0990000047022477 0.2016846072166955E+00 20.16846072