{"id":"vidhyamitra:city-day:varanasi:2102-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2102-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-10-13","date_display":"October 13, 2102 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":2102,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489084.770833,"kali_year":5204,"ahargana":1900619.2708,"sun":{"sidereal_longitude":173.0419,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":182.7529,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.7111,"elapsed_within_tithi_degrees":9.7111},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.7529,"elapsed_within_degrees":9.4196},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.7948},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2102,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489084.770833,"ahargana":1900619.2708,"kali_year":5204,"ayanamsa_lahiri":25.2888,"grahas":{"sun":{"sidereal_longitude":174.031115,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":184.21851500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-4.4926},"mars":{"sidereal_longitude":184.77451499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":167.73381500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":234.0523149999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":176.01651500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":202.700015,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":276.0446,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.0446,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":2102,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489084.770833,"kali_year":5204,"ahargana":1900619.2708,"sun":{"sidereal_longitude":173.0419,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":182.7529,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.7111,"elapsed_within_tithi_degrees":9.7111},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.7529,"elapsed_within_degrees":9.4196},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.7948},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.493,"elongation":9.711},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.493,"opposition_distance":170.289}},"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":"05:54","sunsetLocal":"17:33","solarNoonLocal":"11:44","dayLengthHours":11.644084415993625,"dayLengthDisplay":"11 Hours 38 Mins 39 Secs","nightLengthDisplay":"12 Hours 21 Mins 21 Secs","moonriseLocal":"06:43","moonsetLocal":"18:05","rahuKala":{"name":"Rāhu Kāla","start":"10:16","end":"11:44","startHours":10.272188961199541,"endHours":11.727699513198743,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:38","end":"16:06","startHours":14.638720617197151,"endHours":16.09423116919635,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"08:49","startHours":7.361167857201135,"endHours":8.816678409200339,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:01","startHours":8.622610335600445,"endHours":9.010746482800233,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:42","startHours":6.3908274892016665,"endHours":6.701336406961497,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:07","startHours":11.339563365998956,"endHours":12.115835660398531,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:08","startHours":4.353112716402782,"endHours":5.129385010802357,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:54","startHours":4.9353169372024634,"endHours":5.905657305201932,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:27","startHours":13.668380249197682,"endHours":14.444652543597257,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.349741721195556,"endHours":17.749741721195555,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"18:02","startHours":17.549741721195556,"endHours":18.03491190519529,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.299741721195556,"endHours":19.049741721195556,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:07","startHours":23.339563365998956,"endHours":24.11583566039853,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:54","end":"07:22","startHours":5.905657305201932,"endHours":7.361167857201135,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"08:49","startHours":7.361167857201135,"endHours":8.816678409200339,"quality":"auspicious"},{"name":"Amṛta","start":"08:49","end":"10:16","startHours":8.816678409200339,"endHours":10.272188961199541,"quality":"auspicious"},{"name":"Kāla","start":"10:16","end":"11:44","startHours":10.272188961199541,"endHours":11.727699513198743,"quality":"inauspicious"},{"name":"Śubha","start":"11:44","end":"13:11","startHours":11.727699513198743,"endHours":13.183210065197947,"quality":"auspicious"},{"name":"Roga","start":"13:11","end":"14:38","startHours":13.183210065197947,"endHours":14.638720617197151,"quality":"inauspicious"},{"name":"Udveg","start":"14:38","end":"16:06","startHours":14.638720617197151,"endHours":16.09423116919635,"quality":"inauspicious"},{"name":"Chala","start":"16:06","end":"17:33","startHours":16.09423116919635,"endHours":17.549741721195556,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:33","end":"19:06","startHours":17.549741721195556,"endHours":19.09423116919635,"quality":"inauspicious"},{"name":"Udveg","start":"19:06","end":"20:38","startHours":19.09423116919635,"endHours":20.63872061719715,"quality":"inauspicious"},{"name":"Chala","start":"20:38","end":"22:11","startHours":20.63872061719715,"endHours":22.183210065197947,"quality":"neutral"},{"name":"Labha","start":"22:11","end":"23:44","startHours":22.183210065197947,"endHours":23.727699513198743,"quality":"auspicious"},{"name":"Amṛta","start":"23:44","end":"01:16","startHours":23.727699513198743,"endHours":25.27218896119954,"quality":"auspicious"},{"name":"Kāla","start":"01:16","end":"02:49","startHours":25.27218896119954,"endHours":26.816678409200335,"quality":"inauspicious"},{"name":"Śubha","start":"02:49","end":"04:22","startHours":26.816678409200335,"endHours":28.361167857201135,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:54","startHours":28.361167857201135,"endHours":29.90565730520193,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.905657305201932,"endHours":6.905657305201932,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.905657305201932,"endHours":7.905657305201932,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.905657305201932,"endHours":8.905657305201931,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.905657305201931,"endHours":9.905657305201931,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.905657305201931,"endHours":10.905657305201931,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.905657305201931,"endHours":11.905657305201931,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.905657305201931,"endHours":12.905657305201931,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.905657305201931,"endHours":13.905657305201931,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.905657305201931,"endHours":14.905657305201931,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.905657305201931,"endHours":15.905657305201931,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.905657305201931,"endHours":16.90565730520193,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.90565730520193,"endHours":17.90565730520193,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.90565730520193,"endHours":18.90565730520193,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.90565730520193,"endHours":19.90565730520193,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.90565730520193,"endHours":20.90565730520193,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.90565730520193,"endHours":21.90565730520193,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.90565730520193,"endHours":22.90565730520193,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.90565730520193,"endHours":23.90565730520193,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.90565730520193,"endHours":24.90565730520193,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.90565730520193,"endHours":25.90565730520193,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.90565730520193,"endHours":26.90565730520193,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.90565730520193,"endHours":27.90565730520193,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.90565730520193,"endHours":28.90565730520193,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.90565730520193,"endHours":29.90565730520193,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-7.561295338760495,"eotMinutes":14.442429208075392,"ayanamsa":25.2888}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pratipada · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"sharadiya-navratri-start","name":"Śāradīya Navrātri Start","name_sanskrit":"शारदीय नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"Autumn Navrātri begins; Devī Mahiṣāsura-mardinī worship for 9 nights.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 13, 2102 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 13, 2102 CE for Vārāṇasī (Kāśī): Śukla Pratipada, sūryodaya 05:54, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2102-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2102-10-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2102-10-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2102-10-13","x-default":"https://vidhyamitra.com/city/varanasi/2102-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:00:03.200Z","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":"2026-05-14T15:00:03.200Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:00:03.200Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}