{"id":"vidhyamitra:city-day:varanasi:2103-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2103-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-10-15","date_display":"October 15, 2103 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":2103,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489451.770833,"kali_year":5205,"ahargana":1900986.2708,"sun":{"sidereal_longitude":174.7666,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":346.6205,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.8539,"elapsed_within_tithi_degrees":3.8539},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":346.6205,"elapsed_within_degrees":13.2872},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.3871},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2103,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489451.770833,"ahargana":1900986.2708,"kali_year":5205,"ayanamsa_lahiri":25.3028,"grahas":{"sun":{"sidereal_longitude":175.755993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":346.256193,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":4.5},"mars":{"sidereal_longitude":86.10349299999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":183.84399299999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":262.862893,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":128.712893,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":213.25059299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":256.5992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":76.5992,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2103,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489451.770833,"kali_year":5205,"ahargana":1900986.2708,"sun":{"sidereal_longitude":174.7666,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":346.6205,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.8539,"elapsed_within_tithi_degrees":3.8539},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":346.6205,"elapsed_within_degrees":13.2872},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.3871},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":171.854},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":8.146}},"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":"05:55","sunsetLocal":"17:31","solarNoonLocal":"11:43","dayLengthHours":11.602102093814985,"dayLengthDisplay":"11 Hours 36 Mins 08 Secs","nightLengthDisplay":"12 Hours 23 Mins 52 Secs","moonriseLocal":"16:54","moonsetLocal":"05:17","rahuKala":{"name":"Rāhu Kāla","start":"07:22","end":"08:49","startHours":7.370004541964246,"endHours":8.820267303691118,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:16","end":"11:43","startHours":10.270530065417992,"endHours":11.720792827144866,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:10","end":"14:37","startHours":13.171055588871738,"endHours":14.62131835059861,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:01","startHours":8.626898935460869,"endHours":9.013635671921369,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:43","startHours":6.403162700812997,"endHours":6.712552089981397,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:06","startHours":11.334056090684367,"endHours":12.107529563605365,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:09","startHours":4.372794834395375,"endHours":5.146268307316373,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:55","startHours":4.952899939086124,"endHours":5.919741780237373,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:26","startHours":13.654476509447363,"endHours":14.427949982368363,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.32184387405236,"endHours":17.721843874052357,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"18:00","startHours":17.521843874052358,"endHours":18.005264794627983,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.271843874052358,"endHours":19.021843874052358,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:06","startHours":23.334056090684367,"endHours":24.107529563605365,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:55","end":"07:22","startHours":5.919741780237373,"endHours":7.370004541964246,"quality":"auspicious"},{"name":"Kāla","start":"07:22","end":"08:49","startHours":7.370004541964246,"endHours":8.820267303691118,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:16","startHours":8.820267303691118,"endHours":10.270530065417992,"quality":"auspicious"},{"name":"Roga","start":"10:16","end":"11:43","startHours":10.270530065417992,"endHours":11.720792827144866,"quality":"inauspicious"},{"name":"Udveg","start":"11:43","end":"13:10","startHours":11.720792827144866,"endHours":13.171055588871738,"quality":"inauspicious"},{"name":"Chala","start":"13:10","end":"14:37","startHours":13.171055588871738,"endHours":14.62131835059861,"quality":"neutral"},{"name":"Labha","start":"14:37","end":"16:04","startHours":14.62131835059861,"endHours":16.071581112325486,"quality":"auspicious"},{"name":"Amṛta","start":"16:04","end":"17:31","startHours":16.071581112325486,"endHours":17.521843874052358,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:31","end":"19:04","startHours":17.521843874052358,"endHours":19.071581112325486,"quality":"neutral"},{"name":"Labha","start":"19:04","end":"20:37","startHours":19.071581112325486,"endHours":20.621318350598614,"quality":"auspicious"},{"name":"Amṛta","start":"20:37","end":"22:10","startHours":20.621318350598614,"endHours":22.171055588871738,"quality":"auspicious"},{"name":"Kāla","start":"22:10","end":"23:43","startHours":22.171055588871738,"endHours":23.720792827144866,"quality":"inauspicious"},{"name":"Śubha","start":"23:43","end":"01:16","startHours":23.720792827144866,"endHours":25.270530065417994,"quality":"auspicious"},{"name":"Roga","start":"01:16","end":"02:49","startHours":25.270530065417994,"endHours":26.820267303691118,"quality":"inauspicious"},{"name":"Udveg","start":"02:49","end":"04:22","startHours":26.820267303691118,"endHours":28.370004541964246,"quality":"inauspicious"},{"name":"Chala","start":"04:22","end":"05:55","startHours":28.370004541964246,"endHours":29.919741780237374,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.919741780237373,"endHours":6.919741780237373,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.919741780237373,"endHours":7.919741780237373,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.919741780237373,"endHours":8.919741780237374,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.919741780237374,"endHours":9.919741780237374,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.919741780237374,"endHours":10.919741780237374,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.919741780237374,"endHours":11.919741780237374,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.919741780237374,"endHours":12.919741780237374,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.919741780237374,"endHours":13.919741780237374,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.919741780237374,"endHours":14.919741780237374,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.919741780237374,"endHours":15.919741780237374,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.919741780237374,"endHours":16.919741780237374,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.919741780237374,"endHours":17.919741780237374,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.919741780237374,"endHours":18.919741780237374,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.919741780237374,"endHours":19.919741780237374,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.919741780237374,"endHours":20.919741780237374,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.919741780237374,"endHours":21.919741780237374,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.919741780237374,"endHours":22.919741780237374,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.919741780237374,"endHours":23.919741780237374,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.919741780237374,"endHours":24.919741780237374,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.919741780237374,"endHours":25.919741780237374,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.919741780237374,"endHours":26.919741780237374,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.919741780237374,"endHours":27.919741780237374,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.919741780237374,"endHours":28.919741780237374,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.919741780237374,"endHours":29.919741780237374,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","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":-8.216589545821462,"eotMinutes":14.85683037130801,"ayanamsa":25.3028}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3},{"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":"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 15, 2103 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 15, 2103 CE for Vārāṇasī (Kāśī): Śukla Pūrṇimā, sūryodaya 05:55, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2103-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2103-10-15","sa":"https://sa.vidhyamitra.com/city/varanasi/2103-10-15","hi":"https://hi.vidhyamitra.com/city/varanasi/2103-10-15","x-default":"https://vidhyamitra.com/city/varanasi/2103-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:49:15.655Z","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":"2026-05-14T14:49:15.656Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:49:15.656Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}