{"id":"vidhyamitra:city-day:dwarka:1776-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1776-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1776-01-03","date_display":"January 3, 1776 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":1776,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2369732.770833,"kali_year":4877,"ahargana":1781267.2708,"sun":{"sidereal_longitude":261.9554,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":49.7279,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.7725,"elapsed_within_tithi_degrees":3.7725},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.7279,"elapsed_within_degrees":9.7279},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.6832},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1776,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2369732.770833,"ahargana":1781267.2708,"kali_year":4877,"ayanamsa_lahiri":20.724,"grahas":{"sun":{"sidereal_longitude":261.618339,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":49.66963900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-4.2324},"mars":{"sidereal_longitude":285.362839,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":253.76623900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":54.84923900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":217.80913899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":182.55883900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":119.8879,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":299.8879,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":1776,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2369732.770833,"kali_year":4877,"ahargana":1781267.2708,"sun":{"sidereal_longitude":261.9554,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":49.7279,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.7725,"elapsed_within_tithi_degrees":3.7725},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.7279,"elapsed_within_degrees":9.7279},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.6832},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.232,"elongation":147.772},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.232,"opposition_distance":32.228}},"eclipse_window_40days":[]},"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"07:34","sunsetLocal":"18:23","solarNoonLocal":"12:59","dayLengthHours":10.808216708937934,"dayLengthDisplay":"10 Hours 48 Mins 30 Secs","nightLengthDisplay":"13 Hours 11 Mins 30 Secs","moonriseLocal":"16:10","moonsetLocal":"05:32","rahuKala":{"name":"Rāhu Kāla","start":"12:59","end":"14:20","startHours":12.978583680510969,"endHours":14.329610769128212,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:56","end":"10:17","startHours":8.925502414659245,"endHours":10.276529503276485,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:38","end":"12:59","startHours":11.627556591893729,"endHours":12.978583680510969,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:27","startHours":10.096392558127521,"endHours":10.456666448425452,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:01","end":"08:19","startHours":8.024817688914418,"endHours":8.313036801152762,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:37","end":"13:20","startHours":12.618309790213038,"endHours":13.3388575708089,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:08","end":"06:51","startHours":6.133379764850279,"endHours":6.85392754544614,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:34","startHours":6.673790600297175,"endHours":7.574475326042003,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:30","startHours":14.779953132000625,"endHours":15.500500912596486,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.182692034979937,"endHours":18.582692034979935,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:50","startHours":18.382692034979936,"endHours":18.83303439785235,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.132692034979936,"endHours":19.882692034979936,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:37","end":"01:20","startHours":24.618309790213036,"endHours":25.3388575708089,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:34","end":"08:56","startHours":7.574475326042003,"endHours":8.925502414659245,"quality":"auspicious"},{"name":"Amṛta","start":"08:56","end":"10:17","startHours":8.925502414659245,"endHours":10.276529503276485,"quality":"auspicious"},{"name":"Kāla","start":"10:17","end":"11:38","startHours":10.276529503276485,"endHours":11.627556591893729,"quality":"inauspicious"},{"name":"Śubha","start":"11:38","end":"12:59","startHours":11.627556591893729,"endHours":12.978583680510969,"quality":"auspicious"},{"name":"Roga","start":"12:59","end":"14:20","startHours":12.978583680510969,"endHours":14.329610769128212,"quality":"inauspicious"},{"name":"Udveg","start":"14:20","end":"15:41","startHours":14.329610769128212,"endHours":15.680637857745452,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:02","startHours":15.680637857745452,"endHours":17.031664946362696,"quality":"neutral"},{"name":"Labha","start":"17:02","end":"18:23","startHours":17.031664946362696,"endHours":18.382692034979936,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:23","end":"20:02","startHours":18.382692034979936,"endHours":20.031664946362696,"quality":"inauspicious"},{"name":"Chala","start":"20:02","end":"21:41","startHours":20.031664946362696,"endHours":21.680637857745452,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"23:20","startHours":21.680637857745452,"endHours":23.32961076912821,"quality":"auspicious"},{"name":"Amṛta","start":"23:20","end":"00:59","startHours":23.32961076912821,"endHours":24.97858368051097,"quality":"auspicious"},{"name":"Kāla","start":"00:59","end":"02:38","startHours":24.97858368051097,"endHours":26.62755659189373,"quality":"inauspicious"},{"name":"Śubha","start":"02:38","end":"04:17","startHours":26.62755659189373,"endHours":28.276529503276485,"quality":"auspicious"},{"name":"Roga","start":"04:17","end":"05:56","startHours":28.276529503276485,"endHours":29.925502414659242,"quality":"inauspicious"},{"name":"Udveg","start":"05:56","end":"07:34","startHours":29.925502414659242,"endHours":31.574475326042002,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:34","end":"08:34","startHours":7.574475326042003,"endHours":8.574475326042002,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:34","end":"09:34","startHours":8.574475326042002,"endHours":9.574475326042002,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:34","end":"10:34","startHours":9.574475326042002,"endHours":10.574475326042002,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:34","end":"11:34","startHours":10.574475326042002,"endHours":11.574475326042002,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:34","end":"12:34","startHours":11.574475326042002,"endHours":12.574475326042002,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:34","end":"13:34","startHours":12.574475326042002,"endHours":13.574475326042002,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:34","end":"14:34","startHours":13.574475326042002,"endHours":14.574475326042002,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:34","end":"15:34","startHours":14.574475326042002,"endHours":15.574475326042002,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:34","end":"16:34","startHours":15.574475326042002,"endHours":16.574475326042002,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:34","end":"17:34","startHours":16.574475326042002,"endHours":17.574475326042002,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:34","end":"18:34","startHours":17.574475326042002,"endHours":18.574475326042002,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:34","end":"19:34","startHours":18.574475326042002,"endHours":19.574475326042002,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:34","end":"20:34","startHours":19.574475326042002,"endHours":20.574475326042002,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:34","end":"21:34","startHours":20.574475326042002,"endHours":21.574475326042002,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:34","end":"22:34","startHours":21.574475326042002,"endHours":22.574475326042002,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:34","end":"23:34","startHours":22.574475326042002,"endHours":23.574475326042002,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:34","end":"00:34","startHours":23.574475326042002,"endHours":24.574475326042002,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:34","end":"01:34","startHours":24.574475326042002,"endHours":25.574475326042002,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:34","end":"02:34","startHours":25.574475326042002,"endHours":26.574475326042002,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:34","end":"03:34","startHours":26.574475326042002,"endHours":27.574475326042002,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:34","end":"04:34","startHours":27.574475326042002,"endHours":28.574475326042002,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:34","end":"05:34","startHours":28.574475326042002,"endHours":29.574475326042002,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:34","end":"06:34","startHours":29.574475326042002,"endHours":30.574475326042002,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:34","end":"07:34","startHours":30.574475326042002,"endHours":31.574475326042002,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.863685885045342,"eotMinutes":-4.589420830658165,"ayanamsa":20.724}},"calendars":{"vikram_samvat":1833,"vikram_samvatsara":"Saumya","saka_samvat":1698,"saka_samvatsara":"Durmukhi","bengali_samvat":1183,"malayalam_era":952,"nanakshahi_year":307,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 1833 Saumya · Śaka 1698 Durmukhi"},"festivals":[{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"dwarka"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 1776 CE · Dvārakā · Vidhyamitra","description":"January 3, 1776 CE for Dvārakā: Śukla Trayodaśī, sūryodaya 07:34, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1776-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1776-01-03","sa":"https://sa.vidhyamitra.com/city/dwarka/1776-01-03","hi":"https://hi.vidhyamitra.com/city/dwarka/1776-01-03","x-default":"https://vidhyamitra.com/city/dwarka/1776-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:23:31.756Z","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":"2026-06-01T04:23:31.756Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:23:31.756Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}