{"id":"vidhyamitra:city-day:varanasi:2001-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2001-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-01-13","date_display":"January 13, 2001 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2001,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451922.770833,"kali_year":5102,"ahargana":1863457.2708,"sun":{"sidereal_longitude":268.9225,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":130.939,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.0166,"elapsed_within_tithi_degrees":6.0166},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.939,"elapsed_within_degrees":10.939},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.8615},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2001,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451922.770833,"ahargana":1863457.2708,"kali_year":5102,"ayanamsa_lahiri":23.8674,"grahas":{"sun":{"sidereal_longitude":269.052277,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":133.99917700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":3.2285},"mars":{"sidereal_longitude":198.017377,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":280.3082770000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":37.548677,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":316.06297700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":30.232477000000017,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":85.0662,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.0662,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2001,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451922.770833,"kali_year":5102,"ahargana":1863457.2708,"sun":{"sidereal_longitude":268.9225,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":130.939,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.0166,"elapsed_within_tithi_degrees":6.0166},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.939,"elapsed_within_degrees":10.939},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.8615},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.228,"elongation":137.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.228,"opposition_distance":42.017}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":0.182,"opposition_distance":1.705}]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:46","sunsetLocal":"17:28","solarNoonLocal":"12:07","dayLengthHours":10.70297996207478,"dayLengthDisplay":"10 Hours 42 Mins 11 Secs","nightLengthDisplay":"13 Hours 17 Mins 49 Secs","moonriseLocal":"20:47","moonsetLocal":"09:26","rahuKala":{"name":"Rāhu Kāla","start":"09:26","end":"10:46","startHours":9.436593867670863,"endHours":10.774466362930212,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:27","end":"14:47","startHours":13.450211353448907,"endHours":14.788083848708254,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:46","end":"08:06","startHours":6.760848877152169,"endHours":8.098721372411516,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:15","end":"09:37","startHours":9.258210868302951,"endHours":9.614976867038777,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:30","startHours":7.206806375571952,"endHours":7.492219174560613,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:28","startHours":11.755572859453734,"endHours":12.469104856925386,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:03","startHours":5.333784882208865,"endHours":6.047316879680517,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:46","startHours":5.868933880312603,"endHours":6.760848877152169,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:37","startHours":13.896168851868689,"endHours":14.60970084934034,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.26382883922695,"endHours":17.663828839226948,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:55","startHours":17.46382883922695,"endHours":17.909786337646732,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.21382883922695,"endHours":18.96382883922695,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:28","startHours":23.755572859453732,"endHours":24.469104856925387,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:46","end":"08:06","startHours":6.760848877152169,"endHours":8.098721372411516,"quality":"inauspicious"},{"name":"Śubha","start":"08:06","end":"09:26","startHours":8.098721372411516,"endHours":9.436593867670863,"quality":"auspicious"},{"name":"Roga","start":"09:26","end":"10:46","startHours":9.436593867670863,"endHours":10.774466362930212,"quality":"inauspicious"},{"name":"Udveg","start":"10:46","end":"12:07","startHours":10.774466362930212,"endHours":12.11233885818956,"quality":"inauspicious"},{"name":"Chala","start":"12:07","end":"13:27","startHours":12.11233885818956,"endHours":13.450211353448907,"quality":"neutral"},{"name":"Labha","start":"13:27","end":"14:47","startHours":13.450211353448907,"endHours":14.788083848708254,"quality":"auspicious"},{"name":"Amṛta","start":"14:47","end":"16:08","startHours":14.788083848708254,"endHours":16.1259563439676,"quality":"auspicious"},{"name":"Kāla","start":"16:08","end":"17:28","startHours":16.1259563439676,"endHours":17.46382883922695,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:28","end":"19:08","startHours":17.46382883922695,"endHours":19.1259563439676,"quality":"auspicious"},{"name":"Amṛta","start":"19:08","end":"20:47","startHours":19.1259563439676,"endHours":20.788083848708254,"quality":"auspicious"},{"name":"Kāla","start":"20:47","end":"22:27","startHours":20.788083848708254,"endHours":22.450211353448907,"quality":"inauspicious"},{"name":"Śubha","start":"22:27","end":"00:07","startHours":22.450211353448907,"endHours":24.11233885818956,"quality":"auspicious"},{"name":"Roga","start":"00:07","end":"01:46","startHours":24.11233885818956,"endHours":25.774466362930212,"quality":"inauspicious"},{"name":"Udveg","start":"01:46","end":"03:26","startHours":25.774466362930212,"endHours":27.436593867670865,"quality":"inauspicious"},{"name":"Chala","start":"03:26","end":"05:06","startHours":27.436593867670865,"endHours":29.098721372411518,"quality":"neutral"},{"name":"Labha","start":"05:06","end":"06:46","startHours":29.098721372411518,"endHours":30.76084887715217,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.760848877152169,"endHours":7.760848877152169,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.760848877152169,"endHours":8.760848877152169,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.760848877152169,"endHours":9.760848877152169,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.760848877152169,"endHours":10.760848877152169,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.760848877152169,"endHours":11.760848877152169,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.760848877152169,"endHours":12.760848877152169,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.760848877152169,"endHours":13.760848877152169,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.760848877152169,"endHours":14.760848877152169,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.760848877152169,"endHours":15.760848877152169,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.760848877152169,"endHours":16.76084887715217,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.76084887715217,"endHours":17.76084887715217,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.76084887715217,"endHours":18.76084887715217,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.76084887715217,"endHours":19.76084887715217,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.76084887715217,"endHours":20.76084887715217,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.76084887715217,"endHours":21.76084887715217,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.76084887715217,"endHours":22.76084887715217,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.76084887715217,"endHours":23.76084887715217,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.76084887715217,"endHours":24.76084887715217,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.76084887715217,"endHours":25.76084887715217,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.76084887715217,"endHours":26.76084887715217,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.76084887715217,"endHours":27.76084887715217,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.76084887715217,"endHours":28.76084887715217,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.76084887715217,"endHours":29.76084887715217,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.76084887715217,"endHours":30.76084887715217,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.489589459779342,"eotMinutes":-8.635931491373626,"ayanamsa":23.8674}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2001 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 13, 2001 CE for Vārāṇasī (Kāśī): Kṛṣṇa Caturthī, sūryodaya 06:46, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2001-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2001-01-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2001-01-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2001-01-13","x-default":"https://vidhyamitra.com/city/varanasi/2001-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:53:56.731Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T18:53:56.731Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:53:56.731Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}