{"id":"vidhyamitra:city-day:mathura:-3181-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3181-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-12-17","date_display":"December 17, 3182 BCE","panchanga":{"method":"Sūrya Siddhānta (Burgess 1860 text, no bīja): Sun and Moon by the equation of the apsis with the 24-sine table","engine_version":"3.0 (text of the Sūrya Siddhānta)","accuracy_note":"Siddhāntic places, not the observed sky. Against the observed sky 1900-2030 the Moon averages -0.06 deg (max 3.6 deg), the Sun -0.21 deg (max 0.6 deg).","tradition_chain":"Sūrya Siddhānta, tr. E. Burgess (JAOS 6, 1860): I.29-47, II.15-45","input":{"year":-3181,"month":12,"day":17,"hour":6.052266666666667,"minute":39.419,"second":0,"calendar":"julian"},"julian_day":559547.779552,"kali_year":-79,"ahargana":-28917.7204,"sun":{"sidereal_longitude":300.0708,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":204.9768,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.906,"elapsed_within_tithi_degrees":0.906},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":204.9768,"elapsed_within_degrees":4.9768},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.0477},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya Siddhānta four-step process (II.43-44), tabular sines, even/odd epicycles, no bīja; verified against Burgess 1860 worked example","engine_version":"4.0 (Pūrṇa — Burgess text, 2026-09-26)","tradition_sources":"Sūrya Siddhānta Ch. I-III, tr. E. Burgess (JAOS 6, 1860)","input":{"year":-3181,"month":12,"day":17,"hour":6.052266666666667,"minute":39.419,"calendar":"julian"},"julian_day":559547.779552,"ahargana":-28917.7204,"kali_year":-79,"ayanamsa":1.1876,"grahas":{"sun":{"sidereal_longitude":300.0708,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":204.9768,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-4.1484},"mars":{"sidereal_longitude":317.1682,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":302.4902,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":121.6848,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":324.7544,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":119.7284,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":272.2,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.2,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta (Burgess 1860 text, no bīja): Sun and Moon by the equation of the apsis with the 24-sine table","engine_version":"3.0 (text of the Sūrya Siddhānta)","accuracy_note":"Siddhāntic places, not the observed sky. Against the observed sky 1900-2030 the Moon averages -0.06 deg (max 3.6 deg), the Sun -0.21 deg (max 0.6 deg).","tradition_chain":"Sūrya Siddhānta, tr. E. Burgess (JAOS 6, 1860): I.29-47, II.15-45","input":{"year":-3181,"month":12,"day":17,"hour":6.052266666666667,"minute":39.419,"second":0,"calendar":"julian"},"julian_day":559547.779552,"kali_year":-79,"ahargana":-28917.7204,"sun":{"sidereal_longitude":300.0708,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":204.9768,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.906,"elapsed_within_tithi_degrees":0.906},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":204.9768,"elapsed_within_degrees":4.9768},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.0477},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.148,"elongation":95.094},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.148,"opposition_distance":84.906}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:41","solarNoonLocal":"12:25","dayLengthHours":10.528099581599236,"dayLengthDisplay":"10 Hours 31 Mins 41 Secs","nightLengthDisplay":"13 Hours 28 Mins 19 Secs","moonriseLocal":"none this day","moonsetLocal":"11:23","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:03","startHours":13.737052546814084,"endHours":15.053064994513988},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:28","startHours":7.156990308314562,"endHours":8.473002756014466},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:06","startHours":9.78901520371437,"endHours":11.105027651414275},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.066666666666666,"endHours":12.766666666666667},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:15","startHours":5.366666666666666,"endHours":6.25},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:47","startHours":17.583333333333332,"endHours":17.783333333333335},"nishitaMuhurta":{"name":"Niśītha","start":"23:58","end":"00:52","startHours":23.966666666666665,"endHours":24.866666666666667},"sourcedMuhurtas":{"success":true,"date":"-3181-12-17","sunrise":"07:09","sunset":"17:41","timezone":"UTC+5.5","calculation_method":"surya_siddhanta (II.59-63, II.46)","rahu_kalam":{"name":"Rāhu Kālam","sanskrit":"राहु काल","start":"13:44","end":"15:03","duration_minutes":79,"rule":"part 6 of the day's 8 (Sun 8, Mon 2, Tue 7, Wed 5, Thu 6, Fri 4, Sat 3)","source":"South Indian almanac table (Tamil Nadu, Karnataka, Kerala); no verse found in BPHS, Bṛhatsaṃhitā, Muhūrtacintāmaṇi, Muhūrta-mārtaṇḍa, Nārada-saṃhitā, Phaladīpikā, Dharmasindhu, Nirṇayasindhu or Praśna-mārga","sources_say":["Uttara-kālāmṛta 2.29 (post-16th century; read in P. S. Sastri's English): not to bathe in the sea during it. The editor: \"Standard texts have no mention of it.\""],"evidence":"regional convention"},"yamaganda_kalam":{"name":"Yamaghaṇṭaka (Yamagaṇḍa) Kālam","sanskrit":"यमघण्टक","start":"07:09","end":"08:28","duration_minutes":79,"rule":"Jupiter's eighth of the day: part 1 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: listed with Ardhapraharam and Kālan as periods to be set aside","Phaladīpikā 25.19-20 (as a natal upagraha): Yamakaṇṭaka acts like Jupiter, the strongest of the upagrahas at giving good","Muhūrtacintāmaṇi 1.37-39 counts a Yamaghaṇṭa among the faulty moments (duṣṭakṣaṇa), in sixteenths of the day: the second half of this eighth"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},"gulika_kalam":{"name":"Gulika Kālam","sanskrit":"गुलिक","start":"09:47","end":"11:06","duration_minutes":79,"rule":"Saturn's eighth of the day: part 3 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 34 (tr. N. P. Subramania Iyer, 1917): for harvest, trade, medical treatment and the study of the Vedas \"Gulika has no evil force\"; ch. 33 note: \"Gulika is not considered inauspicious\"","Phaladīpikā 25.20 (as a natal upagraha): Gulika acts like Saturn"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},"brahma_muhurta":{"name":"Brahma Muhūrta","sanskrit":"ब्रह्म मुहूर्त","start":"05:22","end":"06:15","duration_minutes":53.9,"rule":"the 14th fifteenth of the night ending at this sunrise","source":"Manusmṛti 4.92; Aṣṭāṅgahṛdaya Sūtra 2.1, with Aruṇadatta and Hemādri","sources_say":["Manusmṛti 4.92: \"brāhme muhūrte budhyeta\" (one should wake in the brāhma muhūrta and reflect on dharma and the Veda)","Aṣṭāṅgahṛdaya Sūtra 2.1: \"brāhme muhūrta uttiṣṭhet svastho rakṣārtham āyuṣaḥ\" (the healthy should rise then, to protect life)","Aruṇadatta: \"rātreś caturdaśo muhūrto brāhmo muhūrtaḥ\"; Hemādri: \"rātreś copāntyo muhūrto brāhmaḥ\" (wording through a journal article)"],"evidence":"secondary","note":"Manu and Vāgbhaṭa name it; the 14th of the night is the commentators' definition"},"abhijit_muhurta":{"name":"Abhijit Muhūrta","sanskrit":"अभिजित् मुहूर्त","start":"12:04","end":"12:46","duration_minutes":42.1,"rule":"the 8th fifteenth of the day, around midday","source":"Ṭikaṇikayātrā 3.7-8; Muhūrta-gaṇapati 83-86; Nārada-saṃhitā 9.4-5","sources_say":["Ṭikaṇikayātrā 3.8: \"tena yānam apahāya dakṣiṇāṃ sarvadikṣv abhijit praśasyate\" (under Abhijit, travel in every direction but the south is praised)","Muhūrta-gaṇapati 83-84: in Abhijit, even where faults exist, one may do all auspicious work except travel to the south","Vālmīki-Rāmāyaṇa 6.4.3 calls the midday muhūrta Vijaya (\"yukto muhūrto vijayaḥ prāpto madhyaṃ divākaraḥ\")"],"evidence":"verse read"},"nishitha":{"name":"Niśītha","sanskrit":"निशीथ","start":"23:58","end":"00:52","duration_minutes":53.9,"rule":"the 8th fifteenth of the night: the middle of the night (not clock midnight)","source":"Dharmasindhu; Muhūrtacintāmaṇi, Yātrā 11.54","sources_say":["Dharmasindhu: niśītha is the middle of the night, finely the 8th muhūrta; the instant at which a tithi is taken for night observances","Muhūrtacintāmaṇi, Yātrā 11.54: for travel, niśītha except toward the north"],"evidence":"verse read (OCR)"},"godhuli":{"name":"Godhūli","sanskrit":"गोधूलि","start":"17:35","end":"17:47","duration_minutes":12,"rule":"15 pala before and after the half-set Sun (the text's sunset is the Sun's centre on the horizon)","source":"Muhūrta-mārtaṇḍa, Vivāha 38 (citing the Jyotirnibandha); Muhūrtacintāmaṇi, Vivāha 6.100-101","sources_say":["Muhūrtacintāmaṇi 6.100: \"godhūliḥ sā munibhir uditā sarvakāryeṣu praśastā\" (the sages declared godhūli praised for all works)","Muhūrta-mārtaṇḍa, Vivāha 38: a lagna for marriage when no other good lagna is available","Muhūrtacintāmaṇi, Yātrā 11.54: for travel, godhūli except toward the west"],"evidence":"verse read (OCR)","note":"MC 6.101 places the instant by season (in hemanta the rayless disk, in the hot season the half-set Sun, in the rains the Sun fully set); the half-set form is given"},"kala_vela":{"day":[{"name":"Gulika (day)","sanskrit":"गुलिक","start":"09:47","end":"11:06","duration_minutes":79,"rule":"Saturn's eighth of the day: part 3 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 34 (tr. N. P. Subramania Iyer, 1917): for harvest, trade, medical treatment and the study of the Vedas \"Gulika has no evil force\"; ch. 33 note: \"Gulika is not considered inauspicious\"","Phaladīpikā 25.20 (as a natal upagraha): Gulika acts like Saturn"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Yamaghaṇṭaka (day)","sanskrit":"यमघण्टक","start":"07:09","end":"08:28","duration_minutes":79,"rule":"Jupiter's eighth of the day: part 1 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: listed with Ardhapraharam and Kālan as periods to be set aside","Phaladīpikā 25.19-20 (as a natal upagraha): Yamakaṇṭaka acts like Jupiter, the strongest of the upagrahas at giving good","Muhūrtacintāmaṇi 1.37-39 counts a Yamaghaṇṭa among the faulty moments (duṣṭakṣaṇa), in sixteenths of the day: the second half of this eighth"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Kāla (day)","sanskrit":"काल","start":"11:06","end":"12:25","duration_minutes":79,"rule":"Sun's eighth of the day: part 4 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: Kālan, to be set aside","Phaladīpikā 25.20: acts like Rāhu"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Mṛtyu (day)","sanskrit":"मृत्यु","start":"13:44","end":"15:03","duration_minutes":79,"rule":"Mars's eighth of the day: part 6 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Ardhaprahara (day)","sanskrit":"अर्धप्रहर","start":"15:03","end":"16:22","duration_minutes":79,"rule":"Mercury's eighth of the day: part 7 of 8, counted from Jupiter","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: Ardhapraharam, to be set aside","Phaladīpikā 25.20: acts like Mercury"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"}],"night":[{"name":"Gulika (night)","sanskrit":"गुलिक","start":"02:06","end":"03:47","duration_minutes":101,"rule":"Saturn's eighth of the night: part 6 of 8, counted from Moon","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 34 (tr. N. P. Subramania Iyer, 1917): for harvest, trade, medical treatment and the study of the Vedas \"Gulika has no evil force\"; ch. 33 note: \"Gulika is not considered inauspicious\"","Phaladīpikā 25.20 (as a natal upagraha): Gulika acts like Saturn"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Yamaghaṇṭaka (night)","sanskrit":"यमघण्टक","start":"22:44","end":"00:25","duration_minutes":101,"rule":"Jupiter's eighth of the night: part 4 of 8, counted from Moon","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: listed with Ardhapraharam and Kālan as periods to be set aside","Phaladīpikā 25.19-20 (as a natal upagraha): Yamakaṇṭaka acts like Jupiter, the strongest of the upagrahas at giving good","Muhūrtacintāmaṇi 1.37-39 counts a Yamaghaṇṭa among the faulty moments (duṣṭakṣaṇa), in sixteenths of the day: the second half of this eighth"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Kāla (night)","sanskrit":"काल","start":"03:47","end":"05:28","duration_minutes":101,"rule":"Sun's eighth of the night: part 7 of 8, counted from Moon","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: Kālan, to be set aside","Phaladīpikā 25.20: acts like Rāhu"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Mṛtyu (night)","sanskrit":"मृत्यु","start":"19:22","end":"21:03","duration_minutes":101,"rule":"Mars's eighth of the night: part 2 of 8, counted from Moon","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"},{"name":"Ardhaprahara (night)","sanskrit":"अर्धप्रहर","start":"21:03","end":"22:44","duration_minutes":101,"rule":"Mercury's eighth of the night: part 3 of 8, counted from Moon","source":"Bṛhat-Parāśara-Horāśāstra ch. 3 (upagrahas)","sources_say":["Kālaprakāśikā ch. 33: Ardhapraharam, to be set aside","Phaladīpikā 25.20: acts like Mercury"],"evidence":"verse read","note":"BPHS uses these parts to fix the upagraha points; the 8th eighth has no lord"}]},"day_muhurtas":[{"name":"Śiva","sanskrit":"शिव","deity":"Śiva","start":"07:09","end":"07:52","duration_minutes":42.1,"rule":"the 1th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Bhujaga","sanskrit":"भुजग","deity":"Bhujaga","start":"07:52","end":"08:34","duration_minutes":42.1,"rule":"the 2th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Mitra","sanskrit":"मित्र","deity":"Mitra","start":"08:34","end":"09:16","duration_minutes":42.1,"rule":"the 3th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Pitṛ","sanskrit":"पितृ","deity":"Pitṛ","start":"09:16","end":"09:58","duration_minutes":42.1,"rule":"the 4th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Vasu","sanskrit":"वसु","deity":"Vasu","start":"09:58","end":"10:40","duration_minutes":42.1,"rule":"the 5th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Jala","sanskrit":"जल","deity":"Jala","start":"10:40","end":"11:22","duration_minutes":42.1,"rule":"the 6th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Viśva","sanskrit":"विश्व","deity":"Viśva","start":"11:22","end":"12:04","duration_minutes":42.1,"rule":"the 7th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Viriñci (Abhijit)","sanskrit":"विरिञ्चि","deity":"Viriñci (Abhijit)","start":"12:04","end":"12:46","duration_minutes":42.1,"rule":"the 8th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Paṅkajaprabhava (Brahmā)","sanskrit":"पङ्कजप्रभव","deity":"Paṅkajaprabhava (Brahmā)","start":"12:46","end":"13:28","duration_minutes":42.1,"rule":"the 9th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Indra","sanskrit":"इन्द्र","deity":"Indra","start":"13:28","end":"14:11","duration_minutes":42.1,"rule":"the 10th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Indrāgnī","sanskrit":"इन्द्राग्नी","deity":"Indrāgnī","start":"14:11","end":"14:53","duration_minutes":42.1,"rule":"the 11th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Niśācara","sanskrit":"निशाचर","deity":"Niśācara","start":"14:53","end":"15:35","duration_minutes":42.1,"rule":"the 12th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Varuṇa","sanskrit":"वरुण","deity":"Varuṇa","start":"15:35","end":"16:17","duration_minutes":42.1,"rule":"the 13th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Aryaman","sanskrit":"अर्यमन्","deity":"Aryaman","start":"16:17","end":"16:59","duration_minutes":42.1,"rule":"the 14th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Yoni (Bhaga)","sanskrit":"योनि","deity":"Yoni (Bhaga)","start":"16:59","end":"17:41","duration_minutes":42.1,"rule":"the 15th fifteenth of the day (sunrise to sunset)","source":"Ṭikaṇikayātrā 3.2, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"}],"night_muhurtas":[{"name":"Rudra","sanskrit":"रुद्र","deity":"Rudra","start":"17:41","end":"18:35","duration_minutes":53.9,"rule":"the 1th fifteenth of the 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read"},{"name":"Pūṣan","sanskrit":"पूषन्","deity":"Pūṣan","start":"20:23","end":"21:17","duration_minutes":53.9,"rule":"the 4th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Dasra","sanskrit":"दस्र","deity":"Dasra","start":"21:17","end":"22:10","duration_minutes":53.9,"rule":"the 5th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Antaka","sanskrit":"अन्तक","deity":"Antaka","start":"22:10","end":"23:04","duration_minutes":53.9,"rule":"the 6th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Agni","sanskrit":"अग्नि","deity":"Agni","start":"23:04","end":"23:58","duration_minutes":53.9,"rule":"the 7th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Dhātṛ","sanskrit":"धातृ","deity":"Dhātṛ","start":"23:58","end":"00:52","duration_minutes":53.9,"rule":"the 8th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Indu","sanskrit":"इन्दु","deity":"Indu","start":"00:52","end":"01:46","duration_minutes":53.9,"rule":"the 9th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Aditi","sanskrit":"अदिति","deity":"Aditi","start":"01:46","end":"02:40","duration_minutes":53.9,"rule":"the 10th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Guru","sanskrit":"गुरु","deity":"Guru","start":"02:40","end":"03:34","duration_minutes":53.9,"rule":"the 11th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Hari","sanskrit":"हरि","deity":"Hari","start":"03:34","end":"04:27","duration_minutes":53.9,"rule":"the 12th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Ravi","sanskrit":"रवि","deity":"Ravi","start":"04:27","end":"05:21","duration_minutes":53.9,"rule":"the 13th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Tvaṣṭṛ","sanskrit":"त्वष्टृ","deity":"Tvaṣṭṛ","start":"05:21","end":"06:15","duration_minutes":53.9,"rule":"the 14th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"},{"name":"Anila","sanskrit":"अनिल","deity":"Anila","start":"06:15","end":"07:09","duration_minutes":53.9,"rule":"the 15th fifteenth of the night (sunset to the next sunrise)","source":"Ṭikaṇikayātrā 3.3, 3.4 (Varāhamihira)","sources_say":["Ṭikaṇikayātrā 3.5 and Bṛhatsaṃhitā 98.3: a muhūrta is judged by its presiding deity, as a nakṣatra is"],"evidence":"verse read"}],"vara_lord":"Guru","vara_sanskrit":"गुरुवार","not_computed":[{"name":"Vijaya muhūrta as \"the second half of the 7th muhūrta\"","reason":"no source; Rāmāyaṇa 6.4.3 calls the midday muhūrta Vijaya (see Abhijit)"},{"name":"Amṛta kāla by weekday","reason":"no source for a weekday table; the amṛta-ghaṭikā of the sources is by nakṣatra and is not yet read from a primary text"},{"name":"Durmuhūrta (Muhūrtacintāmaṇi 1.38-39)","reason":"the weekday table is partly unreadable in the scans (Tuesday and Thursday)"}],"sources":"docs/MUHURTA_SOURCES.md"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:28","startHours":7.156990308314562,"endHours":8.473002756014466},{"name":"Roga","start":"08:28","end":"09:47","startHours":8.473002756014466,"endHours":9.78901520371437},{"name":"Udvega","start":"09:47","end":"11:06","startHours":9.78901520371437,"endHours":11.105027651414275},{"name":"Cara","start":"11:06","end":"12:25","startHours":11.105027651414275,"endHours":12.42104009911418},{"name":"Lābha","start":"12:25","end":"13:44","startHours":12.42104009911418,"endHours":13.737052546814084},{"name":"Amṛta","start":"13:44","end":"15:03","startHours":13.737052546814084,"endHours":15.053064994513988},{"name":"Kāla","start":"15:03","end":"16:22","startHours":15.053064994513988,"endHours":16.369077442213893},{"name":"Śubha","start":"16:22","end":"17:41","startHours":16.369077442213893,"endHours":17.685089889913797}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:41","end":"19:22","startHours":17.685089889913797,"endHours":19.369077442213893},{"name":"Kāla","start":"19:22","end":"21:03","startHours":19.369077442213893,"endHours":21.05306499451399},{"name":"Śubha","start":"21:03","end":"22:44","startHours":21.05306499451399,"endHours":22.737052546814084},{"name":"Roga","start":"22:44","end":"00:25","startHours":22.737052546814084,"endHours":24.42104009911418},{"name":"Udvega","start":"00:25","end":"02:06","startHours":24.42104009911418,"endHours":26.105027651414275},{"name":"Cara","start":"02:06","end":"03:47","startHours":26.105027651414275,"endHours":27.78901520371437},{"name":"Lābha","start":"03:47","end":"05:28","startHours":27.78901520371437,"endHours":29.473002756014466},{"name":"Amṛta","start":"05:28","end":"07:09","startHours":29.473002756014466,"endHours":31.156990308314562}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.156990308314562,"endHours":8.156990308314562,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.156990308314562,"endHours":9.156990308314562,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.156990308314562,"endHours":10.156990308314562,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.156990308314562,"endHours":11.156990308314562,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.156990308314562,"endHours":12.156990308314562,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.156990308314562,"endHours":13.156990308314562,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.156990308314562,"endHours":14.156990308314562,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.156990308314562,"endHours":15.156990308314562,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.156990308314562,"endHours":16.156990308314562,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.156990308314562,"endHours":17.156990308314562,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.156990308314562,"endHours":18.156990308314562,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.156990308314562,"endHours":19.156990308314562,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.156990308314562,"endHours":20.156990308314562,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.156990308314562,"endHours":21.156990308314562,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.156990308314562,"endHours":22.156990308314562,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.156990308314562,"endHours":23.156990308314562,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.156990308314562,"endHours":24.156990308314562,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.156990308314562,"endHours":25.156990308314562,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.156990308314562,"endHours":26.156990308314562,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.156990308314562,"endHours":27.156990308314562,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.156990308314562,"endHours":28.156990308314562,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.156990308314562,"endHours":29.156990308314562,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.156990308314562,"endHours":30.156990308314562,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.156990308314562,"endHours":31.156990308314562,"planetary_lord":"Moon"}],"taraBala":{"day_star":"Viśākhā","by_tara":[{"number":1,"name":"Janma","janma_stars":["Punarvasu","Viśākhā","Pūrva Bhādrapadā"]},{"number":2,"name":"Sampat","janma_stars":["Ārdrā","Svātī","Śatabhiṣaj"]},{"number":3,"name":"Vipat","janma_stars":["Mṛgaśirā","Citrā","Dhaniṣṭhā"]},{"number":4,"name":"Kṣema","janma_stars":["Rohiṇī","Hasta","Śravaṇa"]},{"number":5,"name":"Pratyari","janma_stars":["Kṛttikā","Uttara Phalgunī","Uttara Āṣāḍhā"]},{"number":6,"name":"Sādhaka","janma_stars":["Bharaṇī","Pūrva Phalgunī","Pūrva Āṣāḍhā"]},{"number":7,"name":"Vadha","janma_stars":["Aśvinī","Maghā","Mūla"]},{"number":8,"name":"Maitra","janma_stars":["Aśleṣā","Jyeṣṭhā","Revatī"]},{"number":9,"name":"Atimaitra","janma_stars":["Puṣya","Anurādhā","Uttara Bhādrapadā"]}],"rule":"Counted from the janma star to the day's star, in three rounds of nine","source":"Muhūrtacintāmaṇi, Gocara 11-12","sources_say":"\"tārā nāmasadṛkphalāḥ\": each tārā gives fruit like its name (v.12)"},"chandraBala":{"moon_rashi":"Tulā","rows":[{"janma_rashi":"Meṣa","house":7,"place":"v.1","vedha_from_house":2,"vedha_by":[]},{"janma_rashi":"Vṛṣabha","house":6,"place":"v.1","vedha_from_house":12,"vedha_by":[]},{"janma_rashi":"Mithuna","house":5,"place":null,"vedha_from_house":null,"vedha_by":[]},{"janma_rashi":"Karka","house":4,"place":null,"vedha_from_house":null,"vedha_by":[]},{"janma_rashi":"Siṃha","house":3,"place":"v.1","vedha_from_house":9,"vedha_by":[]},{"janma_rashi":"Kanyā","house":2,"place":null,"vedha_from_house":null,"vedha_by":[]},{"janma_rashi":"Tulā","house":1,"place":"v.1","vedha_from_house":5,"vedha_by":["Sun","Mars","Venus"]},{"janma_rashi":"Vṛścika","house":12,"place":null,"vedha_from_house":null,"vedha_by":[]},{"janma_rashi":"Dhanu","house":11,"place":"v.1","vedha_from_house":8,"vedha_by":["Saturn","Ketu"]},{"janma_rashi":"Makara","house":10,"place":"v.1","vedha_from_house":4,"vedha_by":[]},{"janma_rashi":"Kumbha","house":9,"place":null,"vedha_from_house":null,"vedha_by":[]},{"janma_rashi":"Mīna","house":8,"place":null,"vedha_from_house":null,"vedha_by":[]}],"rule":"The Moon's house counted from the janma rāśi; the places of v.1 with their vedha houses, and in the bright half those of v.4","source":"Muhūrtacintāmaṇi, Gocara 1-4","not_computed":"the vedha of the v.4 places (the ṭīkā gives 6, 8, 4; not checked against a second edition)"},"dishaShool":"South","dishaShoolSource":"Nārada-saṃhitā 33.5 (and Muhūrtacintāmaṇi, Yātrā 10): \"na vrajet\", one should not set out that way on that weekday","chandraVasa":"West","chandraVasaSource":"Nārada-saṃhitā 33.8: the rāśis from Meṣa in turn to the four quarters from the east; the Moon dwells in her rāśi's quarter","rahuVasa":null,"rahuVasaNotComputed":"Rāhu-vāsa by weekday: no classical verse found (Muhūrtacintāmaṇi has only the nakṣatra-based Pathi-Rāhu-cakra, Yātrā 18); an almanac convention, not shown","anandadiYoga":{"number":28,"name":"Vardhamāna","star":"Viśākhā","counted_from":"Anurādhā","excluded_ghatis":null,"rule":"Counted from the weekday's star to the day's star, Abhijit included (28)","source":"Muhūrtacintāmaṇi, Śubhāśubha 23-26; Abhijit by Vivāha 55"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"Sūrya Siddhānta: sunrise and sunset II.59-63 with II.46; ayanāṃśa III.9-10; obliquity 24°","declination":-20.28654843494633,"eotMinutes":-5.834833160422028,"ayanamsa":1.187548747402832}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4006,"nanakshahi_year":-4649,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Aṣṭamī · Vikram -3124 undefined · Śaka -3259 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walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 17, 3182 BCE · Mathurā · Vidhyamitra","description":"December 17, 3182 BCE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 07:09, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3181-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3181-12-17","sa":"https://sa.vidhyamitra.com/city/mathura/-3181-12-17","hi":"https://hi.vidhyamitra.com/city/mathura/-3181-12-17","x-default":"https://vidhyamitra.com/city/mathura/-3181-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-10-09T03:07:55.236Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Sūrya Siddhānta: sunrise II.59-63, declination II.28, apparent time II.46, ayanāṃśa III.9-10","retrieved_at":"2026-10-09T03:07:55.236Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-10-09T03:07:55.236Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}