{"id":"vidhyamitra:city-day:varanasi:2001-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2001-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-10-30","date_display":"October 30, 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":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452212.770833,"kali_year":5103,"ahargana":1863747.2708,"sun":{"sidereal_longitude":192.1116,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":345.9644,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.8528,"elapsed_within_tithi_degrees":9.8528},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":345.9644,"elapsed_within_degrees":12.6311},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.076},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":10,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452212.770833,"ahargana":1863747.2708,"kali_year":5103,"ayanamsa_lahiri":23.8785,"grahas":{"sun":{"sidereal_longitude":192.807997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":347.664597,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-4.4731},"mars":{"sidereal_longitude":277.705597,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":174.32229699999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":81.69739700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":174.22839699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":50.041597000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":69.7006,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.7006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"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":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452212.770833,"kali_year":5103,"ahargana":1863747.2708,"sun":{"sidereal_longitude":192.1116,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":345.9644,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.8528,"elapsed_within_tithi_degrees":9.8528},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":345.9644,"elapsed_within_degrees":12.6311},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.076},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.473,"elongation":153.853},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.473,"opposition_distance":26.147}},"eclipse_window_40days":[]},"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":"06:04","sunsetLocal":"17:19","solarNoonLocal":"11:42","dayLengthHours":11.241155628964169,"dayLengthDisplay":"11 Hours 14 Mins 28 Secs","nightLengthDisplay":"12 Hours 45 Mins 32 Secs","moonriseLocal":"15:50","moonsetLocal":"04:12","rahuKala":{"name":"Rāhu Kāla","start":"14:30","end":"15:55","startHours":14.504532009419943,"endHours":15.909676463040464,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:53","end":"10:17","startHours":8.883954194937857,"endHours":10.28909864855838,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:42","end":"13:06","startHours":11.6942431021789,"endHours":13.09938755579942,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:04","startHours":8.696601601121788,"endHours":9.071306788753928,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:51","startHours":6.54204677223699,"endHours":6.8418109223427015,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:04","startHours":11.31953791454676,"endHours":12.06894828981104,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:19","startHours":4.57484453716826,"endHours":5.324254912432538,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:04","startHours":5.136902318616468,"endHours":6.073665287696816,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:19","startHours":13.567769040339595,"endHours":14.317179415603873,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.114820916660985,"endHours":17.514820916660984,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:47","startHours":17.314820916660985,"endHours":17.78320240120116,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.064820916660985,"endHours":18.814820916660985,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:04","startHours":23.319537914546764,"endHours":24.06894828981104,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:04","end":"07:29","startHours":6.073665287696816,"endHours":7.4788097413173364,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"08:53","startHours":7.4788097413173364,"endHours":8.883954194937857,"quality":"inauspicious"},{"name":"Chala","start":"08:53","end":"10:17","startHours":8.883954194937857,"endHours":10.28909864855838,"quality":"neutral"},{"name":"Labha","start":"10:17","end":"11:42","startHours":10.28909864855838,"endHours":11.6942431021789,"quality":"auspicious"},{"name":"Amṛta","start":"11:42","end":"13:06","startHours":11.6942431021789,"endHours":13.09938755579942,"quality":"auspicious"},{"name":"Kāla","start":"13:06","end":"14:30","startHours":13.09938755579942,"endHours":14.504532009419943,"quality":"inauspicious"},{"name":"Śubha","start":"14:30","end":"15:55","startHours":14.504532009419943,"endHours":15.909676463040464,"quality":"auspicious"},{"name":"Roga","start":"15:55","end":"17:19","startHours":15.909676463040464,"endHours":17.314820916660985,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:19","end":"18:55","startHours":17.314820916660985,"endHours":18.909676463040462,"quality":"inauspicious"},{"name":"Śubha","start":"18:55","end":"20:30","startHours":18.909676463040462,"endHours":20.504532009419943,"quality":"auspicious"},{"name":"Roga","start":"20:30","end":"22:06","startHours":20.504532009419943,"endHours":22.09938755579942,"quality":"inauspicious"},{"name":"Udveg","start":"22:06","end":"23:42","startHours":22.09938755579942,"endHours":23.694243102178902,"quality":"inauspicious"},{"name":"Chala","start":"23:42","end":"01:17","startHours":23.694243102178902,"endHours":25.28909864855838,"quality":"neutral"},{"name":"Labha","start":"01:17","end":"02:53","startHours":25.28909864855838,"endHours":26.883954194937857,"quality":"auspicious"},{"name":"Amṛta","start":"02:53","end":"04:29","startHours":26.883954194937857,"endHours":28.478809741317335,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"06:04","startHours":28.478809741317335,"endHours":30.073665287696816,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.073665287696816,"endHours":7.073665287696816,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.073665287696816,"endHours":8.073665287696816,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.073665287696816,"endHours":9.073665287696816,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.073665287696816,"endHours":10.073665287696816,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.073665287696816,"endHours":11.073665287696816,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.073665287696816,"endHours":12.073665287696816,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.073665287696816,"endHours":13.073665287696816,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.073665287696816,"endHours":14.073665287696816,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.073665287696816,"endHours":15.073665287696816,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.073665287696816,"endHours":16.073665287696816,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.073665287696816,"endHours":17.073665287696816,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.073665287696816,"endHours":18.073665287696816,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.073665287696816,"endHours":19.073665287696816,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.073665287696816,"endHours":20.073665287696816,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.073665287696816,"endHours":21.073665287696816,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.073665287696816,"endHours":22.073665287696816,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.073665287696816,"endHours":23.073665287696816,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.073665287696816,"endHours":24.073665287696816,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.073665287696816,"endHours":25.073665287696816,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.073665287696816,"endHours":26.073665287696816,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.073665287696816,"endHours":27.073665287696816,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.073665287696816,"endHours":28.073665287696816,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.073665287696816,"endHours":29.073665287696816,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.073665287696816,"endHours":30.073665287696816,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-13.74609914126395,"eotMinutes":16.449813869265995,"ayanamsa":23.8785}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Trayodaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 October 30, 2001 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 30, 2001 CE for Vārāṇasī (Kāśī): Śukla Trayodaśī, sūryodaya 06:04, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2001-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2001-10-30","sa":"https://sa.vidhyamitra.com/city/varanasi/2001-10-30","hi":"https://hi.vidhyamitra.com/city/varanasi/2001-10-30","x-default":"https://vidhyamitra.com/city/varanasi/2001-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:44:02.367Z","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":"2026-05-14T17:44:02.367Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:44:02.367Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}