{"id":"vidhyamitra:city-day:dwarka:1784-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1784-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1784-01-20","date_display":"January 20, 1784 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":1784,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2372671.770833,"kali_year":4885,"ahargana":1784206.2708,"sun":{"sidereal_longitude":279.3376,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":247.3723,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.0347,"elapsed_within_tithi_degrees":4.0347},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.3723,"elapsed_within_degrees":7.3723},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.71},"karana":{"half_tithi_index":54,"name":"Gara"},"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":1784,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2372671.770833,"ahargana":1784206.2708,"kali_year":4885,"ayanamsa_lahiri":20.8364,"grahas":{"sun":{"sidereal_longitude":278.88114799999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":245.10794799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-4.3807},"mars":{"sidereal_longitude":13.051148000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":298.587448,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":293.3622479999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":235.88704800000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":268.58854799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":324.1656,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":144.1656,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1784,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2372671.770833,"kali_year":4885,"ahargana":1784206.2708,"sun":{"sidereal_longitude":279.3376,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":247.3723,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.0347,"elapsed_within_tithi_degrees":4.0347},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.3723,"elapsed_within_degrees":7.3723},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.71},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.381,"elongation":31.965},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.381,"opposition_distance":148.035}},"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":"07:36","sunsetLocal":"18:34","solarNoonLocal":"13:05","dayLengthHours":10.975014199729678,"dayLengthDisplay":"10 Hours 58 Mins 30 Secs","nightLengthDisplay":"13 Hours 01 Mins 30 Secs","moonriseLocal":"05:28","moonsetLocal":"16:12","rahuKala":{"name":"Rāhu Kāla","start":"15:50","end":"17:12","startHours":15.828585272219573,"endHours":17.200462047185784,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:20","end":"11:43","startHours":10.341078172354734,"endHours":11.712954947320945,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:05","end":"14:27","startHours":13.084831722287156,"endHours":14.456708497253365,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:09","end":"10:31","startHours":10.158161269025907,"endHours":10.523995075683564,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:03","end":"08:21","startHours":8.054616880744385,"endHours":8.34728392607051,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:43","end":"13:27","startHours":12.7189979156295,"endHours":13.450665528944812,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:08","end":"06:52","startHours":6.1339893957916924,"endHours":6.865657009107004,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:41","end":"07:36","startHours":6.682740105778176,"endHours":7.597324622422316,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"15:39","startHours":14.914000755575433,"endHours":15.645668368890744,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.372338822151995,"endHours":18.772338822151994,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:02","startHours":18.572338822151995,"endHours":19.029631080474065,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.322338822151995,"endHours":20.072338822151995,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:43","end":"01:27","startHours":24.7189979156295,"endHours":25.45066552894481,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:36","end":"08:58","startHours":7.597324622422316,"endHours":8.969201397388526,"quality":"inauspicious"},{"name":"Udveg","start":"08:58","end":"10:20","startHours":8.969201397388526,"endHours":10.341078172354734,"quality":"inauspicious"},{"name":"Chala","start":"10:20","end":"11:43","startHours":10.341078172354734,"endHours":11.712954947320945,"quality":"neutral"},{"name":"Labha","start":"11:43","end":"13:05","startHours":11.712954947320945,"endHours":13.084831722287156,"quality":"auspicious"},{"name":"Amṛta","start":"13:05","end":"14:27","startHours":13.084831722287156,"endHours":14.456708497253365,"quality":"auspicious"},{"name":"Kāla","start":"14:27","end":"15:50","startHours":14.456708497253365,"endHours":15.828585272219573,"quality":"inauspicious"},{"name":"Śubha","start":"15:50","end":"17:12","startHours":15.828585272219573,"endHours":17.200462047185784,"quality":"auspicious"},{"name":"Roga","start":"17:12","end":"18:34","startHours":17.200462047185784,"endHours":18.572338822151995,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:34","end":"20:12","startHours":18.572338822151995,"endHours":20.200462047185784,"quality":"inauspicious"},{"name":"Śubha","start":"20:12","end":"21:50","startHours":20.200462047185784,"endHours":21.828585272219577,"quality":"auspicious"},{"name":"Roga","start":"21:50","end":"23:27","startHours":21.828585272219577,"endHours":23.456708497253366,"quality":"inauspicious"},{"name":"Udveg","start":"23:27","end":"01:05","startHours":23.456708497253366,"endHours":25.084831722287156,"quality":"inauspicious"},{"name":"Chala","start":"01:05","end":"02:43","startHours":25.084831722287156,"endHours":26.712954947320945,"quality":"neutral"},{"name":"Labha","start":"02:43","end":"04:20","startHours":26.712954947320945,"endHours":28.341078172354734,"quality":"auspicious"},{"name":"Amṛta","start":"04:20","end":"05:58","startHours":28.341078172354734,"endHours":29.969201397388527,"quality":"auspicious"},{"name":"Kāla","start":"05:58","end":"07:36","startHours":29.969201397388527,"endHours":31.597324622422317,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:36","end":"08:36","startHours":7.597324622422316,"endHours":8.597324622422317,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:36","end":"09:36","startHours":8.597324622422317,"endHours":9.597324622422317,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:36","end":"10:36","startHours":9.597324622422317,"endHours":10.597324622422317,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:36","end":"11:36","startHours":10.597324622422317,"endHours":11.597324622422317,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:36","end":"12:36","startHours":11.597324622422317,"endHours":12.597324622422317,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:36","end":"13:36","startHours":12.597324622422317,"endHours":13.597324622422317,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:36","end":"14:36","startHours":13.597324622422317,"endHours":14.597324622422317,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:36","end":"15:36","startHours":14.597324622422317,"endHours":15.597324622422317,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:36","end":"16:36","startHours":15.597324622422317,"endHours":16.597324622422317,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:36","end":"17:36","startHours":16.597324622422317,"endHours":17.597324622422317,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:36","end":"18:36","startHours":17.597324622422317,"endHours":18.597324622422317,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:36","end":"19:36","startHours":18.597324622422317,"endHours":19.597324622422317,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:36","end":"20:36","startHours":19.597324622422317,"endHours":20.597324622422317,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:36","end":"21:36","startHours":20.597324622422317,"endHours":21.597324622422317,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:36","end":"22:36","startHours":21.597324622422317,"endHours":22.597324622422317,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:36","end":"23:36","startHours":22.597324622422317,"endHours":23.597324622422317,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:36","end":"00:36","startHours":23.597324622422317,"endHours":24.597324622422317,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:36","end":"01:36","startHours":24.597324622422317,"endHours":25.597324622422317,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:36","end":"02:36","startHours":25.597324622422317,"endHours":26.597324622422317,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:36","end":"03:36","startHours":26.597324622422317,"endHours":27.597324622422317,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:36","end":"04:36","startHours":27.597324622422317,"endHours":28.597324622422317,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:36","end":"05:36","startHours":28.597324622422317,"endHours":29.597324622422317,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:36","end":"06:36","startHours":29.597324622422317,"endHours":30.597324622422317,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:36","end":"07:36","startHours":30.597324622422317,"endHours":31.597324622422317,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.207593763569083,"eotMinutes":-10.9643033372293,"ayanamsa":20.8364}},"calendars":{"vikram_samvat":1841,"vikram_samvatsara":"Piṅgala","saka_samvat":1706,"saka_samvatsara":"Krodhi","bengali_samvat":1191,"malayalam_era":960,"nanakshahi_year":315,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 1841 Piṅgala · Śaka 1706 Krodhi"},"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":"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":[]},"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 20, 1784 CE · Dvārakā · Vidhyamitra","description":"January 20, 1784 CE for Dvārakā: Kṛṣṇa Trayodaśī, sūryodaya 07:36, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1784-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1784-01-20","sa":"https://sa.vidhyamitra.com/city/dwarka/1784-01-20","hi":"https://hi.vidhyamitra.com/city/dwarka/1784-01-20","x-default":"https://vidhyamitra.com/city/dwarka/1784-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:42:56.996Z","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":"2026-06-02T00:42:56.996Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:42:56.996Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}