{"id":"vidhyamitra:city-day:vrindavan:2168-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2168-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-10-16","date_display":"October 16, 2168 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":2168,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513194.770833,"kali_year":5270,"ahargana":1924729.2708,"sun":{"sidereal_longitude":175.9375,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":343.9946,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.0571,"elapsed_within_tithi_degrees":0.0571},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":343.9946,"elapsed_within_degrees":10.6613},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.9321},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2168,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513194.770833,"ahargana":1924729.2708,"kali_year":5270,"ayanamsa_lahiri":26.2109,"grahas":{"sun":{"sidereal_longitude":177.08283600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":345.985836,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.4856},"mars":{"sidereal_longitude":205.215736,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":175.55733599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":106.06833599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":217.57053599999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":278.1959360000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.5808,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.5808,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2168,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513194.770833,"kali_year":5270,"ahargana":1924729.2708,"sun":{"sidereal_longitude":175.9375,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":343.9946,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.0571,"elapsed_within_tithi_degrees":0.0571},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":343.9946,"elapsed_within_degrees":10.6613},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.9321},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.486,"elongation":168.057},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.486,"opposition_distance":11.943}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:20","sunsetLocal":"17:49","solarNoonLocal":"12:04","dayLengthHours":11.491366480064714,"dayLengthDisplay":"11 Hours 29 Mins 29 Secs","nightLengthDisplay":"12 Hours 30 Mins 31 Secs","moonriseLocal":"17:07","moonsetLocal":"05:33","rahuKala":{"name":"Rāhu Kāla","start":"16:23","end":"17:49","startHours":16.381180270504586,"endHours":17.817601080512674,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:31","startHours":12.071917840480317,"endHours":13.508338650488405,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:57","end":"16:23","startHours":14.944759460496496,"endHours":16.381180270504586,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.007553445796393,"endHours":9.390598995131883,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.805041537117322,"endHours":7.111477976585714,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.688872291144827,"endHours":12.454963389815807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:34","startHours":4.794052403105997,"endHours":5.560143501776978,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:20","startHours":5.368620727109233,"endHours":6.326234600447959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.98714558715777,"endHours":14.75323668582875,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.617601080512674,"endHours":18.017601080512673,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:18","startHours":17.817601080512674,"endHours":18.29640801718204,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.567601080512674,"endHours":19.317601080512674,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.688872291144826,"endHours":24.45496338981581,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:20","end":"07:46","startHours":6.326234600447959,"endHours":7.762655410456048,"quality":"inauspicious"},{"name":"Chala","start":"07:46","end":"09:12","startHours":7.762655410456048,"endHours":9.199076220464137,"quality":"neutral"},{"name":"Labha","start":"09:12","end":"10:38","startHours":9.199076220464137,"endHours":10.635497030472226,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:04","startHours":10.635497030472226,"endHours":12.071917840480317,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:31","startHours":12.071917840480317,"endHours":13.508338650488405,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:57","startHours":13.508338650488405,"endHours":14.944759460496496,"quality":"auspicious"},{"name":"Roga","start":"14:57","end":"16:23","startHours":14.944759460496496,"endHours":16.381180270504586,"quality":"inauspicious"},{"name":"Udveg","start":"16:23","end":"17:49","startHours":16.381180270504586,"endHours":17.817601080512674,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:49","end":"19:23","startHours":17.817601080512674,"endHours":19.381180270504583,"quality":"auspicious"},{"name":"Roga","start":"19:23","end":"20:57","startHours":19.381180270504583,"endHours":20.944759460496496,"quality":"inauspicious"},{"name":"Udveg","start":"20:57","end":"22:31","startHours":20.944759460496496,"endHours":22.508338650488405,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:04","startHours":22.508338650488405,"endHours":24.071917840480317,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:38","startHours":24.071917840480317,"endHours":25.635497030472226,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:12","startHours":25.635497030472226,"endHours":27.199076220464136,"quality":"auspicious"},{"name":"Kāla","start":"03:12","end":"04:46","startHours":27.199076220464136,"endHours":28.76265541045605,"quality":"inauspicious"},{"name":"Śubha","start":"04:46","end":"06:20","startHours":28.76265541045605,"endHours":30.32623460044796,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.326234600447959,"endHours":7.326234600447959,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.326234600447959,"endHours":8.32623460044796,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.32623460044796,"endHours":9.32623460044796,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.32623460044796,"endHours":10.32623460044796,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.32623460044796,"endHours":11.32623460044796,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.32623460044796,"endHours":12.32623460044796,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.32623460044796,"endHours":13.32623460044796,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.32623460044796,"endHours":14.32623460044796,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.32623460044796,"endHours":15.32623460044796,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.32623460044796,"endHours":16.32623460044796,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.32623460044796,"endHours":17.32623460044796,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.32623460044796,"endHours":18.32623460044796,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.32623460044796,"endHours":19.32623460044796,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.32623460044796,"endHours":20.32623460044796,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.32623460044796,"endHours":21.32623460044796,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.32623460044796,"endHours":22.32623460044796,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.32623460044796,"endHours":23.32623460044796,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.32623460044796,"endHours":24.32623460044796,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.32623460044796,"endHours":25.32623460044796,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.32623460044796,"endHours":26.32623460044796,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.32623460044796,"endHours":27.32623460044796,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.32623460044796,"endHours":28.32623460044796,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.32623460044796,"endHours":29.32623460044796,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.32623460044796,"endHours":30.32623460044796,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.049131029896937,"eotMinutes":15.04772957118102,"ayanamsa":26.2109}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"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}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 16, 2168 CE · Vṛndāvana · Vidhyamitra","description":"October 16, 2168 CE for Vṛndāvana: Śukla Pūrṇimā, sūryodaya 06:20, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2168-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2168-10-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2168-10-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2168-10-16","x-default":"https://vidhyamitra.com/city/vrindavan/2168-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:41:38.431Z","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":"2026-05-31T19:41:38.431Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:41:38.431Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}