{"id":"vidhyamitra:city-day:varanasi:2102-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2102-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-10-30","date_display":"October 30, 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":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489101.770833,"kali_year":5204,"ahargana":1900636.2708,"sun":{"sidereal_longitude":189.9719,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":58.2674,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.2955,"elapsed_within_tithi_degrees":0.2955},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.2674,"elapsed_within_degrees":4.934},"yoga":{"number":19,"name":"Parigha","sum_longitude":248.2393},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489101.770833,"ahargana":1900636.2708,"kali_year":5204,"ayanamsa_lahiri":25.2894,"grahas":{"sun":{"sidereal_longitude":190.91896599999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":57.41916600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":2.6986},"mars":{"sidereal_longitude":196.37426600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":196.11416600000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":237.034766,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":197.277966,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":204.62376600000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":275.1439,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":95.1439,"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":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489101.770833,"kali_year":5204,"ahargana":1900636.2708,"sun":{"sidereal_longitude":189.9719,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":58.2674,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.2955,"elapsed_within_tithi_degrees":0.2955},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.2674,"elapsed_within_degrees":4.934},"yoga":{"number":19,"name":"Parigha","sum_longitude":248.2393},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.699,"elongation":131.705},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.699,"opposition_distance":48.295}},"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":11.251639385982475,"dayLengthDisplay":"11 Hours 15 Mins 06 Secs","nightLengthDisplay":"12 Hours 44 Mins 54 Secs","moonriseLocal":"19:58","moonsetLocal":"09:37","rahuKala":{"name":"Rāhu Kāla","start":"07:28","end":"08:53","startHours":7.4748783324354715,"endHours":8.88133325568328,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:17","end":"11:42","startHours":10.287788178931091,"endHours":11.6942431021789,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:06","end":"14:30","startHours":13.10069802542671,"endHours":14.50715294867452,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:04","startHours":8.693805932583574,"endHours":9.068860578782989,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:50","startHours":6.537241716936933,"endHours":6.837285433896465,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:04","startHours":11.319188455979484,"endHours":12.069297748378316,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:19","startHours":4.5682048243899995,"endHours":5.318314116788831,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:04","startHours":5.130786793689123,"endHours":6.0684234091876625,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:19","startHours":13.56951633317598,"endHours":14.319625625574812,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.12006279517014,"endHours":17.520062795170137,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:47","startHours":17.320062795170138,"endHours":17.788881102919408,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.070062795170138,"endHours":18.820062795170138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:04","startHours":23.319188455979486,"endHours":24.069297748378318,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:04","end":"07:28","startHours":6.0684234091876625,"endHours":7.4748783324354715,"quality":"auspicious"},{"name":"Kāla","start":"07:28","end":"08:53","startHours":7.4748783324354715,"endHours":8.88133325568328,"quality":"inauspicious"},{"name":"Śubha","start":"08:53","end":"10:17","startHours":8.88133325568328,"endHours":10.287788178931091,"quality":"auspicious"},{"name":"Roga","start":"10:17","end":"11:42","startHours":10.287788178931091,"endHours":11.6942431021789,"quality":"inauspicious"},{"name":"Udveg","start":"11:42","end":"13:06","startHours":11.6942431021789,"endHours":13.10069802542671,"quality":"inauspicious"},{"name":"Chala","start":"13:06","end":"14:30","startHours":13.10069802542671,"endHours":14.50715294867452,"quality":"neutral"},{"name":"Labha","start":"14:30","end":"15:55","startHours":14.50715294867452,"endHours":15.913607871922329,"quality":"auspicious"},{"name":"Amṛta","start":"15:55","end":"17:19","startHours":15.913607871922329,"endHours":17.320062795170138,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:19","end":"18:55","startHours":17.320062795170138,"endHours":18.913607871922327,"quality":"neutral"},{"name":"Labha","start":"18:55","end":"20:30","startHours":18.913607871922327,"endHours":20.50715294867452,"quality":"auspicious"},{"name":"Amṛta","start":"20:30","end":"22:06","startHours":20.50715294867452,"endHours":22.10069802542671,"quality":"auspicious"},{"name":"Kāla","start":"22:06","end":"23:42","startHours":22.10069802542671,"endHours":23.694243102178902,"quality":"inauspicious"},{"name":"Śubha","start":"23:42","end":"01:17","startHours":23.694243102178902,"endHours":25.28778817893109,"quality":"auspicious"},{"name":"Roga","start":"01:17","end":"02:53","startHours":25.28778817893109,"endHours":26.88133325568328,"quality":"inauspicious"},{"name":"Udveg","start":"02:53","end":"04:28","startHours":26.88133325568328,"endHours":28.474878332435473,"quality":"inauspicious"},{"name":"Chala","start":"04:28","end":"06:04","startHours":28.474878332435473,"endHours":30.068423409187663,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.0684234091876625,"endHours":7.0684234091876625,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.0684234091876625,"endHours":8.068423409187663,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.068423409187663,"endHours":9.068423409187663,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.068423409187663,"endHours":10.068423409187663,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.068423409187663,"endHours":11.068423409187663,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.068423409187663,"endHours":12.068423409187663,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.068423409187663,"endHours":13.068423409187663,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.068423409187663,"endHours":14.068423409187663,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.068423409187663,"endHours":15.068423409187663,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.068423409187663,"endHours":16.068423409187663,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.068423409187663,"endHours":17.068423409187663,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.068423409187663,"endHours":18.068423409187663,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.068423409187663,"endHours":19.068423409187663,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.068423409187663,"endHours":20.068423409187663,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.068423409187663,"endHours":21.068423409187663,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.068423409187663,"endHours":22.068423409187663,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.068423409187663,"endHours":23.068423409187663,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.068423409187663,"endHours":24.068423409187663,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.068423409187663,"endHours":25.068423409187663,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.068423409187663,"endHours":26.068423409187663,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.068423409187663,"endHours":27.068423409187663,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.068423409187663,"endHours":28.068423409187663,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.068423409187663,"endHours":29.068423409187663,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.068423409187663,"endHours":30.068423409187663,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","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":-13.588669991864437,"eotMinutes":16.449813869265995,"ayanamsa":25.2894}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Pañcamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2102 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 30, 2102 CE for Vārāṇasī (Kāśī): Kṛṣṇa Pañcamī, sūryodaya 06:04, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2102-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2102-10-30","sa":"https://sa.vidhyamitra.com/city/varanasi/2102-10-30","hi":"https://hi.vidhyamitra.com/city/varanasi/2102-10-30","x-default":"https://vidhyamitra.com/city/varanasi/2102-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:38:45.986Z","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":"2026-05-14T14:38:45.986Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:38:45.986Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}