{"id":"vidhyamitra:city-day:dwarka:1749-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1749-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1749-01-04","date_display":"January 4, 1749 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":1749,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2359872.770833,"kali_year":4850,"ahargana":1771407.2708,"sun":{"sidereal_longitude":263.9972,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":89.0816,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":185.0844,"elapsed_within_tithi_degrees":5.0844},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.0816,"elapsed_within_degrees":9.0816},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.0788},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1749,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2359872.770833,"ahargana":1771407.2708,"kali_year":4850,"ayanamsa_lahiri":20.3469,"grahas":{"sun":{"sidereal_longitude":263.58026399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":87.29256399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":1.0294},"mars":{"sidereal_longitude":202.18666400000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":249.69856400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":306.62786400000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":228.81626400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":210.561964,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":282.3182,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.3182,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1749,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2359872.770833,"kali_year":4850,"ahargana":1771407.2708,"sun":{"sidereal_longitude":263.9972,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":89.0816,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":185.0844,"elapsed_within_tithi_degrees":5.0844},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.0816,"elapsed_within_degrees":9.0816},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.0788},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.029,"elongation":174.916},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.029,"opposition_distance":5.084}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":0.044,"elongation":2.686}]},"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":"07:35","sunsetLocal":"18:24","solarNoonLocal":"12:59","dayLengthHours":10.818152797262494,"dayLengthDisplay":"10 Hours 49 Mins 05 Secs","nightLengthDisplay":"13 Hours 10 Mins 55 Secs","moonriseLocal":"18:33","moonsetLocal":"07:55","rahuKala":{"name":"Rāhu Kāla","start":"10:17","end":"11:38","startHours":10.281286915106811,"endHours":11.633556014764624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:20","end":"15:41","startHours":14.338094214080247,"endHours":15.69036331373806,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:35","end":"08:56","startHours":7.576748715791188,"endHours":8.929017815449,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:28","startHours":10.10098436848577,"endHours":10.461589461727854,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:02","end":"08:19","startHours":8.027505082343792,"endHours":8.315989156937459,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:38","end":"13:21","startHours":12.625220021180352,"endHours":13.34643020766452,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:08","end":"06:51","startHours":6.134328342822856,"endHours":6.855538529307022,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:41","end":"07:35","startHours":6.67523598268598,"endHours":7.576748715791188,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:31","startHours":14.78885058063285,"endHours":15.510060767117016,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.194901513053683,"endHours":18.59490151305368,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:51","startHours":18.394901513053682,"endHours":18.845657879606286,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.144901513053682,"endHours":19.894901513053682,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:38","end":"01:21","startHours":24.625220021180354,"endHours":25.34643020766452,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:35","end":"08:56","startHours":7.576748715791188,"endHours":8.929017815449,"quality":"inauspicious"},{"name":"Śubha","start":"08:56","end":"10:17","startHours":8.929017815449,"endHours":10.281286915106811,"quality":"auspicious"},{"name":"Roga","start":"10:17","end":"11:38","startHours":10.281286915106811,"endHours":11.633556014764624,"quality":"inauspicious"},{"name":"Udveg","start":"11:38","end":"12:59","startHours":11.633556014764624,"endHours":12.985825114422436,"quality":"inauspicious"},{"name":"Chala","start":"12:59","end":"14:20","startHours":12.985825114422436,"endHours":14.338094214080247,"quality":"neutral"},{"name":"Labha","start":"14:20","end":"15:41","startHours":14.338094214080247,"endHours":15.69036331373806,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:03","startHours":15.69036331373806,"endHours":17.04263241339587,"quality":"auspicious"},{"name":"Kāla","start":"17:03","end":"18:24","startHours":17.04263241339587,"endHours":18.394901513053682,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:24","end":"20:03","startHours":18.394901513053682,"endHours":20.04263241339587,"quality":"auspicious"},{"name":"Amṛta","start":"20:03","end":"21:41","startHours":20.04263241339587,"endHours":21.690363313738057,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"23:20","startHours":21.690363313738057,"endHours":23.338094214080247,"quality":"inauspicious"},{"name":"Śubha","start":"23:20","end":"00:59","startHours":23.338094214080247,"endHours":24.985825114422436,"quality":"auspicious"},{"name":"Roga","start":"00:59","end":"02:38","startHours":24.985825114422436,"endHours":26.633556014764622,"quality":"inauspicious"},{"name":"Udveg","start":"02:38","end":"04:17","startHours":26.633556014764622,"endHours":28.28128691510681,"quality":"inauspicious"},{"name":"Chala","start":"04:17","end":"05:56","startHours":28.28128691510681,"endHours":29.929017815449,"quality":"neutral"},{"name":"Labha","start":"05:56","end":"07:35","startHours":29.929017815449,"endHours":31.57674871579119,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:35","end":"08:35","startHours":7.576748715791188,"endHours":8.576748715791188,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:35","end":"09:35","startHours":8.576748715791188,"endHours":9.576748715791188,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:35","end":"10:35","startHours":9.576748715791188,"endHours":10.576748715791188,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:35","end":"11:35","startHours":10.576748715791188,"endHours":11.576748715791188,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:35","end":"12:35","startHours":11.576748715791188,"endHours":12.576748715791188,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:35","end":"13:35","startHours":12.576748715791188,"endHours":13.576748715791188,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:35","end":"14:35","startHours":13.576748715791188,"endHours":14.576748715791188,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:35","end":"15:35","startHours":14.576748715791188,"endHours":15.576748715791188,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:35","end":"16:35","startHours":15.576748715791188,"endHours":16.57674871579119,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:35","end":"17:35","startHours":16.57674871579119,"endHours":17.57674871579119,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:35","end":"18:35","startHours":17.57674871579119,"endHours":18.57674871579119,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:35","end":"19:35","startHours":18.57674871579119,"endHours":19.57674871579119,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:35","end":"20:35","startHours":19.57674871579119,"endHours":20.57674871579119,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:35","end":"21:35","startHours":20.57674871579119,"endHours":21.57674871579119,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:35","end":"22:35","startHours":21.57674871579119,"endHours":22.57674871579119,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:35","end":"23:35","startHours":22.57674871579119,"endHours":23.57674871579119,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:35","end":"00:35","startHours":23.57674871579119,"endHours":24.57674871579119,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:35","end":"01:35","startHours":24.57674871579119,"endHours":25.57674871579119,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:35","end":"02:35","startHours":25.57674871579119,"endHours":26.57674871579119,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:35","end":"03:35","startHours":26.57674871579119,"endHours":27.57674871579119,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:35","end":"04:35","startHours":27.57674871579119,"endHours":28.57674871579119,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:35","end":"05:35","startHours":28.57674871579119,"endHours":29.57674871579119,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:35","end":"06:35","startHours":29.57674871579119,"endHours":30.57674871579119,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:35","end":"07:35","startHours":30.57674871579119,"endHours":31.57674871579119,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","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":-22.70832695126331,"eotMinutes":-5.02390686534617,"ayanamsa":20.3469}},"calendars":{"vikram_samvat":1806,"vikram_samvatsara":"Citrabhānu","saka_samvat":1671,"saka_samvatsara":"Śukla","bengali_samvat":1156,"malayalam_era":925,"nanakshahi_year":280,"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 1806 Citrabhānu · Śaka 1671 Śukla"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 4, 1749 CE · Dvārakā · Vidhyamitra","description":"January 4, 1749 CE for Dvārakā: Kṛṣṇa Pratipada, sūryodaya 07:35, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1749-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1749-01-04","sa":"https://sa.vidhyamitra.com/city/dwarka/1749-01-04","hi":"https://hi.vidhyamitra.com/city/dwarka/1749-01-04","x-default":"https://vidhyamitra.com/city/dwarka/1749-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:09:21.552Z","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":"2026-06-01T07:09:21.552Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:09:21.552Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}