step size 15
eccentricity 0.0167 0.0167 very good
obliquity 0.4093 0.4093 good
vernal equinox 1.3762 1.3762 fair
zero 0.0000 0.0000 fitted the harmonics of equation of time as a function of mean anomaly
1 Jan 0 0 guess 0.548 magnitudes phase angles stdev
-0.0007 7.3568 9.9367 0.3195 0.2200 0.0139 0.0066 3.1247 -2.7555 -2.7706 -2.3787 -2.3861 -2.0102 2.2868 stdev
true eccentric mean projected equation adjusted in minutes -0.0007 0.1244 -3.7420 -0.1159 -0.1521 -0.0095 -0.0060 -7.3557 -9.2052 -0.2978 -0.1591 -0.0101 -0.0028 sum error (x1000) 0.5
deg anomaly anomaly anomaly anomaly of time equation of time 0 1 2 3 4 5 6 1 2 3 4 5 6 day year day since perihelion angle my official error Mo Day min sec
-360 -6.2832 -6.2832 -6.2832 -6.2662 -0.0170 -0.0170 -3.9011 -3.9017 -0.6452 1 1 0.02 -4.4 -3.2 -1.2 Jan 1 -3 12
-345 -6.0214 -6.0257 -6.0299 -5.9864 -0.0435 -0.0435 -9.9777 -5.0594 -4.8980 -4.4241 -3.6680 -2.6780 -1.5170 -0.2593 -1.2676 -2.4544 -3.4846 -4.2925 -4.8266 -5.0527 -9.9813 -3.5935 2 2 0.03 -4.8 -3.7 -1.2 2 -3 40
-330 -5.7596 -5.7679 -5.7761 -5.7167 -0.0594 -0.0594 -13.6223 -6.9299 -6.0580 -3.6615 -0.3435 3.0609 5.6950 6.8959 -3.3653 -5.8837 -6.9214 -6.2173 -3.9486 -0.6862 -13.6275 -5.2476 3 3 0.05 -5.3 -4.1 -1.2 3 -4 8
-315 -5.4978 -5.5095 -5.5212 -5.4586 -0.0626 -0.0626 -14.3505 -7.3384 -5.3091 -0.3437 4.8119 7.3062 5.7598 1.0280 -5.0661 -7.3303 -5.5406 -0.6866 4.5471 7.2660 -14.3541 -3.5936 4 4 0.07 -5.7 -4.6 -1.1 4 -4 36
-300 -5.2360 -5.2504 -5.2647 -5.2105 -0.0542 -0.0542 -12.4285 -6.3988 -3.3574 2.8755 6.3750 3.8144 -2.3722 -6.3037 -5.4472 -5.7163 -0.5514 5.1376 5.9428 1.0988 -12.4305 -2.0405 5 5 0.09 -6.2 -5.1 -1.1 5 -5 3
-285 -4.9742 -4.9903 -5.0064 -4.9687 -0.0377 -0.0377 -8.6428 -4.4851 -1.2996 3.7319 3.4623 -1.7255 -4.4623 -0.8605 -4.2927 -2.4877 2.8510 4.1399 -0.4519 -4.4018 -8.6443 -1.5206 6 6 0.10 -6.6 -5.5 -1.1 6 -5 30
-270 -4.7124 -4.7291 -4.7458 -4.7281 -0.0177 -0.0177 -4.0569 -2.1234 -0.0709 2.1186 0.2125 -2.1044 -0.3532 2.0808 -2.1222 -0.1418 2.1127 0.2830 -2.0938 -0.4229 -4.0572 -0.2357 7 7 0.12 -7.0 -6.0 -1.1 7 -5 57
-255 -4.4506 -4.4668 -4.4830 -4.4838 0.0008 0.0008 0.1856 0.0980 -0.0223 -0.0878 0.0622 0.0595 -0.0893 -0.0189 0.0954 -0.0434 -0.0757 0.0778 0.0403 -0.0961 0.1860 0.4846 8 8 0.14 -7.4 -6.4 -1.1 8 -6 23
-240 -4.1888 -4.2033 -4.2179 -4.2312 0.0133 0.0133 3.0463 1.6210 -0.7693 -0.8909 1.6149 -0.6419 -1.0057 1.5964 1.4269 -1.3543 -0.1415 1.4886 -1.2714 -0.2818 3.0456 -0.6200 9 9 0.15 -7.9 -6.8 -1.0 9 -6 49
-225 -3.9270 -3.9389 -3.9508 -3.9675 0.0167 0.0167 3.8162 2.0448 -1.4110 -0.0975 1.5455 -2.0355 1.2637 0.2915 1.4800 -2.0425 1.3389 0.1947 -1.6076 2.0239 3.8148 -1.3896 10 10 0.17 -8.3 -7.2 -1.0 10 -7 14
-210 -3.6652 -3.6736 -3.6821 -3.6925 0.0104 0.0104 2.3769 1.2804 -1.0979 0.6024 0.0649 -0.7136 1.1589 -1.2738 0.6588 -1.1299 1.2788 -1.0631 0.5444 0.1296 2.3763 -0.5673 11 11 0.19 -8.6 -7.6 -1.0 11 -7 38
-195 -3.4034 -3.4078 -3.4121 -3.4094 -0.0027 -0.0027 -0.6249 -0.3378 0.3255 -0.2895 0.2325 -0.1585 0.0731 0.0177 -0.0903 0.1740 -0.2450 0.2983 -0.3298 0.3373 -0.6244 0.5223 12 12 0.21 -9.0 -8.0 -1.0 12 -8 2
-180 -3.1416 -3.1416 -3.1416 -3.1246 -0.0170 -0.0170 -3.9011 -2.1109 2.1109 -2.1109 2.1109 -2.1109 2.1109 -2.1109 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.8999 1.1671 13 13 0.22 -9.4 -8.4 -1.0 13 -8 25
-165 -2.8798 -2.8754 -2.8710 -2.8448 -0.0262 -0.0262 -6.0124 -3.2496 3.1314 -2.7854 2.2367 -1.5253 0.7029 0.1706 0.8685 -1.6739 2.3574 -2.8694 3.1727 -3.2452 -6.0103 2.0685 14 14 0.24 -9.7 -8.8 -0.9 14 -8 48
-150 -2.6180 -2.6096 -2.6011 -2.5751 -0.0260 -0.0260 -5.9622 -3.2117 2.7539 -1.5110 -0.1627 1.7900 -2.9070 3.1952 1.6526 -2.8341 3.2076 -2.6667 1.3655 0.3250 -5.9597 2.4578 15 15 0.26 -10.1 -9.2 -0.9 15 -9 10
-135 -2.3562 -2.3443 -2.3324 -2.3170 -0.0154 -0.0154 -3.5180 -1.8850 1.3008 0.0899 -1.4248 1.8765 -1.1649 -0.2687 1.3643 -1.8829 1.2343 0.1795 -1.4820 1.8658 -3.5172 0.8314 16 16 0.28 -10.4 -9.5 -0.9 16 -9 32
-120 -2.0944 -2.0799 -2.0653 -2.0689 0.0037 0.0037 0.8380 0.4459 -0.2116 -0.2451 0.4442 -0.1766 -0.2766 0.4391 -0.3925 0.3725 0.0389 -0.4095 0.3497 0.0775 0.8373 -0.6820 17 17 0.29 -10.7 -9.9 -0.9 17 -9 52
-105 -1.8326 -1.8164 -1.8002 -1.8271 0.0269 0.0269 6.1536 3.2484 -0.7387 -2.9124 2.0633 1.9740 -2.9611 -0.6272 -3.1633 1.4387 2.5090 -2.5798 -1.3356 3.1873 6.1535 -0.0532 18 18 0.31 -11.0 -10.2 -0.8 18 -10 12
-90 -1.5708 -1.5541 -1.5374 -1.5865 0.0491 0.0491 11.2612 5.8940 0.1969 -5.8808 -0.5899 5.8414 0.9803 -5.7759 -5.8907 -0.3936 5.8644 0.7855 -5.8119 -1.1739 11.2617 0.5570 19 19 0.33 -11.3 -10.5 -0.8 19 -10 32
-75 -1.3090 -1.2929 -1.2768 -1.3422 0.0654 0.0654 14.9819 7.7747 2.2528 -6.4692 -6.0018 2.9910 7.7352 1.4916 -7.4412 -4.3123 4.9421 7.1764 -0.7833 -7.6303 14.9829 0.9996 20 20 0.34 -11.6 -10.8 -0.8 20 -10 50
-60 -1.0472 -1.0328 -1.0184 -1.0896 0.0712 0.0712 16.3127 8.3986 4.4067 -3.7742 -8.3673 -5.0064 3.1136 8.2738 -7.1496 -7.5028 -0.7238 6.7432 7.8001 1.4422 16.3161 3.3629 21 21 0.36 -11.9 -11.1 -0.7 21 -11 8
-45 -0.7854 -0.7737 -0.7620 -0.8259 0.0639 0.0639 14.6487 7.4909 5.4195 0.3508 -4.9119 -7.4580 -5.8795 -1.0493 -5.1713 -7.4827 -5.6557 -0.7008 4.6416 7.4170 14.6535 4.8123 22 22 0.38 -12.1 -11.4 -0.7 22 -11 25
-30 -0.5236 -0.5153 -0.5071 -0.5509 0.0438 0.0438 10.0370 5.1060 4.4636 2.6978 0.2531 -2.2553 -4.1961 -5.0809 -2.4796 -4.3352 -5.0998 -4.5810 -2.9094 -0.5056 10.0398 2.7771 23 23 0.40 -12.4 -11.7 -0.7 23 -11 41
-15 -0.2618 -0.2575 -0.2533 -0.2678 0.0146 0.0146 3.3404 1.6938 1.6398 1.4811 1.2280 0.8965 0.5079 0.0868 -0.4244 -0.8217 -1.1666 -1.4371 -1.6159 -1.6916 3.3411 0.7110 24 24 0.41 -12.6 -12.0 -0.7 24 -11 57
0 0.0000 0.0000 0.0000 0.0170 -0.0170 -0.0170 -3.9011 -1.9759 -1.9759 -1.9759 -1.9759 -1.9759 -1.9759 -1.9759 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.9017 -0.6452 25 25 0.43 -12.8 -12.2 -0.6 25 -12 12
15 0.2618 0.2575 0.2533 0.2968 -0.0435 -0.0435 -9.9777 -5.0594 -4.8980 -4.4241 -3.6680 -2.6780 -1.5170 -0.2593 -1.2676 -2.4544 -3.4846 -4.2925 -4.8266 -5.0527 -9.9813 -3.5935 26 26 0.45 -13.0 -12.4 -0.6 26 -12 26
30 0.5236 0.5153 0.5071 0.5665 -0.0594 -0.0594 -13.6223 -6.9299 -6.0580 -3.6615 -0.3435 3.0609 5.6950 6.8959 -3.3653 -5.8837 -6.9214 -6.2173 -3.9486 -0.6862 -13.6275 -5.2476 27 27 0.46 -13.2 -12.7 -0.6 27 -12 39
45 0.7854 0.7737 0.7620 0.8246 -0.0626 -0.0626 -14.3505 -7.3384 -5.3091 -0.3437 4.8119 7.3062 5.7598 1.0280 -5.0661 -7.3303 -5.5406 -0.6866 4.5471 7.2660 -14.3541 -3.5936 28 28 0.48 -13.4 -12.9 -0.5 28 -12 51
60 1.0472 1.0328 1.0184 1.0727 -0.0542 -0.0542 -12.4285 -6.3988 -3.3574 2.8755 6.3750 3.8144 -2.3722 -6.3037 -5.4472 -5.7163 -0.5514 5.1376 5.9428 1.0988 -12.4305 -2.0405 29 29 0.50 -13.6 -13.1 -0.5 29 -13 3
75 1.3090 1.2929 1.2768 1.3145 -0.0377 -0.0377 -8.6428 -4.4851 -1.2996 3.7319 3.4623 -1.7255 -4.4623 -0.8605 -4.2927 -2.4877 2.8510 4.1399 -0.4519 -4.4018 -8.6443 -1.5206 30 30 0.52 -13.7 -13.2 -0.5 30 -13 14
90 1.5708 1.5541 1.5374 1.5551 -0.0177 -0.0177 -4.0569 -2.1234 -0.0709 2.1186 0.2125 -2.1044 -0.3532 2.0808 -2.1222 -0.1418 2.1127 0.2830 -2.0938 -0.4229 -4.0572 -0.2357 31 31 0.53 -13.8 -13.4 -0.4 31 -13 24
105 1.8326 1.8164 1.8002 1.7994 0.0008 0.0008 0.1856 0.0980 -0.0223 -0.0878 0.0622 0.0595 -0.0893 -0.0189 0.0954 -0.0434 -0.0757 0.0778 0.0403 -0.0961 0.1860 0.4846 32 32 0.55 -14.0 -13.6 -0.4 Feb 1 -13 33
120 2.0944 2.0799 2.0653 2.0520 0.0133 0.0133 3.0463 1.6210 -0.7693 -0.8909 1.6149 -0.6419 -1.0057 1.5964 1.4269 -1.3543 -0.1415 1.4886 -1.2714 -0.2818 3.0456 -0.6200 33 33 0.57 -14.1 -13.7 -0.4 2 -13 41
135 2.3562 2.3443 2.3324 2.3157 0.0167 0.0167 3.8162 2.0448 -1.4110 -0.0975 1.5455 -2.0355 1.2637 0.2915 1.4800 -2.0425 1.3389 0.1947 -1.6076 2.0239 3.8148 -1.3896 34 34 0.58 -14.2 -13.8 -0.4 3 -13 48
150 2.6180 2.6096 2.6011 2.5907 0.0104 0.0104 2.3769 1.2804 -1.0979 0.6024 0.0649 -0.7136 1.1589 -1.2738 0.6588 -1.1299 1.2788 -1.0631 0.5444 0.1296 2.3763 -0.5673 35 35 0.60 -14.2 -13.9 -0.3 4 -13 55
165 2.8798 2.8754 2.8710 2.8738 -0.0027 -0.0027 -0.6249 -0.3378 0.3255 -0.2895 0.2325 -0.1585 0.0731 0.0177 -0.0903 0.1740 -0.2450 0.2983 -0.3298 0.3373 -0.6244 0.5223 36 36 0.62 -14.3 -14.0 -0.3 5 -14 1
180 3.1416 3.1416 3.1416 3.1586 -0.0170 -0.0170 -3.9011 -2.1109 2.1109 -2.1109 2.1109 -2.1109 2.1109 -2.1109 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.8999 1.1671 37 37 0.64 -14.4 -14.1 -0.3 6 -14 6
195 3.4034 3.4078 3.4121 3.4384 -0.0262 -0.0262 -6.0124 -3.2496 3.1314 -2.7854 2.2367 -1.5253 0.7029 0.1706 0.8685 -1.6739 2.3574 -2.8694 3.1727 -3.2452 -6.0103 2.0685 38 38 0.65 -14.4 -14.2 -0.2 7 -14 10
210 3.6652 3.6736 3.6821 3.7081 -0.0260 -0.0260 -5.9622 -3.2117 2.7539 -1.5110 -0.1627 1.7900 -2.9070 3.1952 1.6526 -2.8341 3.2076 -2.6667 1.3655 0.3250 -5.9597 2.4578 39 39 0.67 -14.4 -14.2 -0.2 8 -14 14
225 3.9270 3.9389 3.9508 3.9662 -0.0154 -0.0154 -3.5180 -1.8850 1.3008 0.0899 -1.4248 1.8765 -1.1649 -0.2687 1.3643 -1.8829 1.2343 0.1795 -1.4820 1.8658 -3.5172 0.8314 40 40 0.69 -14.4 -14.3 -0.2 9 -14 16
240 4.1888 4.2033 4.2179 4.2143 0.0037 0.0037 0.8380 0.4459 -0.2116 -0.2451 0.4442 -0.1766 -0.2766 0.4391 -0.3925 0.3725 0.0389 -0.4095 0.3497 0.0775 0.8373 -0.6820 41 41 0.71 -14.4 -14.3 -0.1 10 -14 18
255 4.4506 4.4668 4.4830 4.4561 0.0269 0.0269 6.1536 3.2484 -0.7387 -2.9124 2.0633 1.9740 -2.9611 -0.6272 -3.1633 1.4387 2.5090 -2.5798 -1.3356 3.1873 6.1535 -0.0532 42 42 0.72 -14.4 -14.3 -0.1 11 -14 19
270 4.7124 4.7291 4.7458 4.6967 0.0491 0.0491 11.2612 5.8940 0.1969 -5.8808 -0.5899 5.8414 0.9803 -5.7759 -5.8907 -0.3936 5.8644 0.7855 -5.8119 -1.1739 11.2617 0.5570 43 43 0.74 -14.4 -14.3 -0.1 12 -14 20
285 4.9742 4.9903 5.0064 4.9410 0.0654 0.0654 14.9819 7.7747 2.2528 -6.4692 -6.0018 2.9910 7.7352 1.4916 -7.4412 -4.3123 4.9421 7.1764 -0.7833 -7.6303 14.9829 0.9996 44 44 0.76 -14.4 -14.3 -0.1 13 -14 19
300 5.2360 5.2504 5.2647 5.1936 0.0712 0.0712 16.3127 8.3986 4.4067 -3.7742 -8.3673 -5.0064 3.1136 8.2738 -7.1496 -7.5028 -0.7238 6.7432 7.8001 1.4422 16.3161 3.3629 45 45 0.77 -14.3 -14.3 0.0 14 -14 18
315 5.4978 5.5095 5.5212 5.4573 0.0639 0.0639 14.6487 7.4909 5.4195 0.3508 -4.9119 -7.4580 -5.8795 -1.0493 -5.1713 -7.4827 -5.6557 -0.7008 4.6416 7.4170 14.6535 4.8123 46 46 0.79 -14.3 -14.3 0.0 15 -14 16
330 5.7596 5.7679 5.7761 5.7323 0.0438 0.0438 10.0370 5.1060 4.4636 2.6978 0.2531 -2.2553 -4.1961 -5.0809 -2.4796 -4.3352 -5.0998 -4.5810 -2.9094 -0.5056 10.0398 2.7771 47 47 0.81 -14.2 -14.2 0.0 16 -14 13
345 6.0214 6.0257 6.0299 6.0154 0.0146 0.0146 3.3404 1.6938 1.6398 1.4811 1.2280 0.8965 0.5079 0.0868 -0.4244 -0.8217 -1.1666 -1.4371 -1.6159 -1.6916 3.3411 0.7110 48 48 0.83 -14.1 -14.2 0.1 17 -14 10
360 6.2832 6.2832 6.2832 6.3002 -0.0170 -0.0170 -3.9011 -1.9759 -1.9759 -1.9759 -1.9759 -1.9759 -1.9759 -1.9759 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.9017 -0.6452 49 49 0.84 -14.0 -14.1 0.1 18 -14 6
375 6.5450 6.5407 6.5364 6.5800 -0.0435 -0.0435 -9.9777 -5.0594 -4.8980 -4.4241 -3.6680 -2.6780 -1.5170 -0.2593 -1.2676 -2.4544 -3.4846 -4.2925 -4.8266 -5.0527 -9.9813 -3.5935 50 50 0.86 -13.9 -14.0 0.1 19 -14 1
390 6.8068 6.7985 6.7903 6.8497 -0.0594 -0.0594 -13.6223 -6.9299 -6.0580 -3.6615 -0.3435 3.0609 5.6950 6.8959 -3.3653 -5.8837 -6.9214 -6.2173 -3.9486 -0.6862 -13.6275 -5.2476 51 51 0.88 -13.8 -13.9 0.1 20 -13 55
405 7.0686 7.0568 7.0452 7.1078 -0.0626 -0.0626 -14.3505 -14.3541 -3.5936 52 52 0.89 -13.6 -13.8 0.2 21 -13 49
53 53 0.91 -13.5 -13.7 0.2 22 -13 42
54 54 0.93 -13.4 -13.6 0.2 23 -13 35
55 55 0.95 -13.2 -13.5 0.2 24 -13 27
56 56 0.96 -13.0 -13.3 0.3 25 -13 18
57 57 0.98 -12.9 -13.2 0.3 26 -13 9
58 58 1.00 -12.7 -13.0 0.3 27 -12 59
59 59 1.01 -12.5 -12.8 0.3 28 -12 48
60 60 1.03 -12.3 -12.6 0.3 Mar 1 -12 34
61 61 1.05 -12.1 -12.4 0.3 2 -12 23
62 62 1.07 -11.8 -12.2 0.3 3 -12 11
63 63 1.08 -11.6 -12.0 0.4 4 -11 58
64 64 1.10 -11.4 -11.8 0.4 5 -11 45
65 65 1.12 -11.1 -11.5 0.4 6 -11 31
66 66 1.14 -10.9 -11.3 0.4 7 -11 17
67 67 1.15 -10.6 -11.1 0.4 8 -11 3
68 68 1.17 -10.4 -10.8 0.4 9 -10 48
69 69 1.19 -10.1 -10.6 0.4 10 -10 33
70 70 1.20 -9.8 -10.3 0.5 11 -10 18
71 71 1.22 -9.6 -10.0 0.5 12 -10 2
72 72 1.24 -9.3 -9.8 0.5 13 -9 46
73 73 1.26 -9.0 -9.5 0.5 14 -9 30
74 74 1.27 -8.7 -9.2 0.5 15 -9 13
75 75 1.29 -8.4 -8.9 0.5 16 -8 56
76 76 1.31 -8.1 -8.7 0.5 17 -8 39
77 77 1.32 -7.8 -8.4 0.5 18 -8 22
78 78 1.34 -7.5 -8.1 0.5 19 -8 4
79 79 1.36 -7.2 -7.8 0.5 20 -7 46
80 80 1.38 -6.9 -7.5 0.5 21 -7 28
81 81 1.39 -6.6 -7.2 0.5 22 -7 10
82 82 1.41 -6.3 -6.9 0.6 23 -6 52
83 83 1.43 -6.0 -6.6 0.6 24 -6 34
84 84 1.45 -5.7 -6.3 0.6 25 -6 16
85 85 1.46 -5.4 -6.0 0.6 26 -5 58
86 86 1.48 -5.1 -5.7 0.6 27 -5 40
87 87 1.50 -4.8 -5.4 0.6 28 -5 21
88 88 1.51 -4.5 -5.1 0.6 29 -5 5
89 89 1.53 -4.2 -4.7 0.6 30 -4 44
90 90 1.55 -3.9 -4.4 0.6 31 -4 26
91 91 1.57 -3.6 -4.1 0.6 Aor 1 -4 8
92 92 1.58 -3.3 -3.8 0.6 2 -3 50
93 93 1.60 -3.0 -3.5 0.6 3 -3 32
94 94 1.62 -2.7 -3.2 0.6 4 -3 14
95 95 1.63 -2.4 -3.0 0.6 5 -2 57
96 96 1.65 -2.1 -2.7 0.6 6 -2 40
97 97 1.67 -1.8 -2.4 0.6 7 -2 23
98 98 1.69 -1.5 -2.1 0.6 8 -2 6
99 99 1.70 -1.3 -1.8 0.5 9 -1 49
100 100 1.72 -1.0 -1.5 0.5 10 -1 32
101 101 1.74 -0.7 -1.3 0.5 11 -1 17
102 102 1.75 -0.5 -1.0 0.5 12 -1 0
103 103 1.77 -0.2 -0.7 0.5 13 0 -44
104 104 1.79 0.0 -0.5 0.5 14 0 -29
105 105 1.81 0.3 -0.2 0.5 15 0 -14
106 106 1.82 0.5 0.0 0.5 16 0 1
107 107 1.84 0.7 0.3 0.5 17 0 15
108 108 1.86 1.0 0.5 0.5 18 0 29
109 109 1.88 1.2 0.7 0.5 19 0 43
110 110 1.89 1.4 0.9 0.5 20 0 56
111 111 1.91 1.6 1.0 0.6 21 1 0
112 112 1.93 1.8 1.4 0.4 22 1 21
113 113 1.94 2.0 1.6 0.4 23 1 33
114 114 1.96 2.1 1.8 0.4 24 1 45
115 115 1.98 2.3 1.9 0.4 25 1 56
116 116 2.00 2.5 2.1 0.4 26 2 6
117 117 2.01 2.6 2.3 0.4</