{"id":"vidhyamitra:city-day:dwarka:1764-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1764-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1764-01-03","date_display":"January 3, 1764 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":1764,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2365349.770833,"kali_year":4865,"ahargana":1776884.2708,"sun":{"sidereal_longitude":262.0634,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":258.9906,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.9272,"elapsed_within_tithi_degrees":8.9272},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.9906,"elapsed_within_degrees":5.6573},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.054},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1764,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2365349.770833,"ahargana":1776884.2708,"kali_year":4865,"ayanamsa_lahiri":20.5564,"grahas":{"sun":{"sidereal_longitude":261.69730200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":256.6699020000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.4933},"mars":{"sidereal_longitude":194.69210199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":267.860502,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":50.11800199999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":281.793802,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":12.91510199999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":352.1204,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.1204,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"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":1764,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2365349.770833,"kali_year":4865,"ahargana":1776884.2708,"sun":{"sidereal_longitude":262.0634,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":258.9906,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.9272,"elapsed_within_tithi_degrees":8.9272},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.9906,"elapsed_within_degrees":5.6573},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.054},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.493,"elongation":3.073},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.493,"opposition_distance":176.927}},"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":10.807694849645607,"dayLengthDisplay":"10 Hours 48 Mins 28 Secs","nightLengthDisplay":"13 Hours 11 Mins 32 Secs","moonriseLocal":"07:16","moonsetLocal":"18:01","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:02","startHours":15.680507392922372,"endHours":17.031469249128072,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:17","end":"11:38","startHours":10.276659968099569,"endHours":11.627621824305269,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:59","end":"14:20","startHours":12.978583680510969,"endHours":14.32954553671667,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:27","startHours":10.096531720605475,"endHours":10.456788215593662,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:02","end":"08:19","startHours":8.0250568744234,"endHours":8.31326207041395,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:37","end":"13:20","startHours":12.618327185522782,"endHours":13.338840175499156,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:08","end":"06:51","startHours":6.133710275735419,"endHours":6.854223265711792,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:34","startHours":6.674095018217699,"endHours":7.574736255688166,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:30","startHours":14.779866155451906,"endHours":15.50037914542828,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.182431105333773,"endHours":18.58243110533377,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:50","startHours":18.382431105333772,"endHours":18.832751724069006,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.132431105333772,"endHours":19.882431105333772,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:37","end":"01:20","startHours":24.618327185522784,"endHours":25.338840175499154,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:34","end":"08:56","startHours":7.574736255688166,"endHours":8.925698111893867,"quality":"inauspicious"},{"name":"Udveg","start":"08:56","end":"10:17","startHours":8.925698111893867,"endHours":10.276659968099569,"quality":"inauspicious"},{"name":"Chala","start":"10:17","end":"11:38","startHours":10.276659968099569,"endHours":11.627621824305269,"quality":"neutral"},{"name":"Labha","start":"11:38","end":"12:59","startHours":11.627621824305269,"endHours":12.978583680510969,"quality":"auspicious"},{"name":"Amṛta","start":"12:59","end":"14:20","startHours":12.978583680510969,"endHours":14.32954553671667,"quality":"auspicious"},{"name":"Kāla","start":"14:20","end":"15:41","startHours":14.32954553671667,"endHours":15.680507392922372,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:02","startHours":15.680507392922372,"endHours":17.031469249128072,"quality":"auspicious"},{"name":"Roga","start":"17:02","end":"18:23","startHours":17.031469249128072,"endHours":18.382431105333772,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"20:02","startHours":18.382431105333772,"endHours":20.031469249128072,"quality":"inauspicious"},{"name":"Śubha","start":"20:02","end":"21:41","startHours":20.031469249128072,"endHours":21.680507392922372,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:20","startHours":21.680507392922372,"endHours":23.32954553671667,"quality":"inauspicious"},{"name":"Udveg","start":"23:20","end":"00:59","startHours":23.32954553671667,"endHours":24.97858368051097,"quality":"inauspicious"},{"name":"Chala","start":"00:59","end":"02:38","startHours":24.97858368051097,"endHours":26.62762182430527,"quality":"neutral"},{"name":"Labha","start":"02:38","end":"04:17","startHours":26.62762182430527,"endHours":28.276659968099565,"quality":"auspicious"},{"name":"Amṛta","start":"04:17","end":"05:56","startHours":28.276659968099565,"endHours":29.925698111893865,"quality":"auspicious"},{"name":"Kāla","start":"05:56","end":"07:34","startHours":29.925698111893865,"endHours":31.574736255688165,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:34","end":"08:34","startHours":7.574736255688166,"endHours":8.574736255688165,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:34","end":"09:34","startHours":8.574736255688165,"endHours":9.574736255688165,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:34","end":"10:34","startHours":9.574736255688165,"endHours":10.574736255688165,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:34","end":"11:34","startHours":10.574736255688165,"endHours":11.574736255688165,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:34","end":"12:34","startHours":11.574736255688165,"endHours":12.574736255688165,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:34","end":"13:34","startHours":12.574736255688165,"endHours":13.574736255688165,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:34","end":"14:34","startHours":13.574736255688165,"endHours":14.574736255688165,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:34","end":"15:34","startHours":14.574736255688165,"endHours":15.574736255688165,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:34","end":"16:34","startHours":15.574736255688165,"endHours":16.574736255688165,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:34","end":"17:34","startHours":16.574736255688165,"endHours":17.574736255688165,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:34","end":"18:34","startHours":17.574736255688165,"endHours":18.574736255688165,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:34","end":"19:34","startHours":18.574736255688165,"endHours":19.574736255688165,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:34","end":"20:34","startHours":19.574736255688165,"endHours":20.574736255688165,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:34","end":"21:34","startHours":20.574736255688165,"endHours":21.574736255688165,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:34","end":"22:34","startHours":21.574736255688165,"endHours":22.574736255688165,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:34","end":"23:34","startHours":22.574736255688165,"endHours":23.574736255688165,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:34","end":"00:34","startHours":23.574736255688165,"endHours":24.574736255688165,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:34","end":"01:34","startHours":24.574736255688165,"endHours":25.574736255688165,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:34","end":"02:34","startHours":25.574736255688165,"endHours":26.574736255688165,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:34","end":"03:34","startHours":26.574736255688165,"endHours":27.574736255688165,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:34","end":"04:34","startHours":27.574736255688165,"endHours":28.574736255688165,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:34","end":"05:34","startHours":28.574736255688165,"endHours":29.574736255688165,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:34","end":"06:34","startHours":29.574736255688165,"endHours":30.574736255688165,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:34","end":"07:34","startHours":30.574736255688165,"endHours":31.574736255688165,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"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":-22.871835340352707,"eotMinutes":-4.589420830658165,"ayanamsa":20.5564}},"calendars":{"vikram_samvat":1821,"vikram_samvatsara":"Hemalambī","saka_samvat":1686,"saka_samvatsara":"Tāraṇa","bengali_samvat":1171,"malayalam_era":940,"nanakshahi_year":295,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Amāvasyā · Vikram 1821 Hemalambī · Śaka 1686 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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, 1764 CE · Dvārakā · Vidhyamitra","description":"January 3, 1764 CE for Dvārakā: Kṛṣṇa Amāvasyā, sūryodaya 07:34, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1764-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1764-01-03","sa":"https://sa.vidhyamitra.com/city/dwarka/1764-01-03","hi":"https://hi.vidhyamitra.com/city/dwarka/1764-01-03","x-default":"https://vidhyamitra.com/city/dwarka/1764-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T17:23:03.262Z","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":"2026-06-02T17:23:03.262Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T17:23:03.262Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}