{"id":"vidhyamitra:city-day:dwarka:1815-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1815-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1815-05-13","date_display":"May 13, 1815 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":1815,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384106.770833,"kali_year":4917,"ahargana":1795641.2708,"sun":{"sidereal_longitude":30.5217,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":78.615,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.0933,"elapsed_within_tithi_degrees":0.0933},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.615,"elapsed_within_degrees":11.9483},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.1368},"karana":{"half_tithi_index":8,"name":"Bava"},"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":1815,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2384106.770833,"ahargana":1795641.2708,"kali_year":4917,"ayanamsa_lahiri":21.2737,"grahas":{"sun":{"sidereal_longitude":30.106246999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":79.37484699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":0.026},"mars":{"sidereal_longitude":311.446947,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":22.117947000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":161.280847,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"venus":{"sidereal_longitude":65.593347,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":292.838347,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.2842,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.2842,"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":1815,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384106.770833,"kali_year":4917,"ahargana":1795641.2708,"sun":{"sidereal_longitude":30.5217,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":78.615,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.0933,"elapsed_within_tithi_degrees":0.0933},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.615,"elapsed_within_degrees":11.9483},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.1368},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.026,"elongation":48.093},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.026,"opposition_distance":131.907}},"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":"06:16","sunsetLocal":"19:25","solarNoonLocal":"12:50","dayLengthHours":13.151848510272572,"dayLengthDisplay":"13 Hours 09 Mins 07 Secs","nightLengthDisplay":"10 Hours 50 Mins 53 Secs","moonriseLocal":"09:25","moonsetLocal":"22:50","rahuKala":{"name":"Rāhu Kāla","start":"09:33","end":"11:12","startHours":9.551573893372584,"endHours":11.195554957156656,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:29","end":"16:08","startHours":14.483517084724799,"endHours":16.12749814850887,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:16","end":"07:54","startHours":6.263611765804442,"endHours":7.907592829588514,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:46","startHours":9.332376418201376,"endHours":9.770771368543794,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:10","startHours":6.811605453732466,"endHours":7.162321414006401,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:24","end":"13:17","startHours":12.401141070598309,"endHours":13.277930971283146,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:23","startHours":4.510031964434766,"endHours":5.386821865119604,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:16","startHours":5.1676243899483945,"endHours":6.263611765804442,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:02","end":"15:54","startHours":15.031510772652823,"endHours":15.90830067333766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:13","end":"19:37","startHours":19.215460276077014,"endHours":19.615460276077012,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:25","end":"19:58","startHours":19.415460276077013,"endHours":19.963453964005037,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:10","end":"20:55","startHours":19.165460276077013,"endHours":20.915460276077013,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:24","end":"01:17","startHours":24.401141070598307,"endHours":25.277930971283148,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:16","end":"07:54","startHours":6.263611765804442,"endHours":7.907592829588514,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:33","startHours":7.907592829588514,"endHours":9.551573893372584,"quality":"auspicious"},{"name":"Roga","start":"09:33","end":"11:12","startHours":9.551573893372584,"endHours":11.195554957156656,"quality":"inauspicious"},{"name":"Udveg","start":"11:12","end":"12:50","startHours":11.195554957156656,"endHours":12.839536020940727,"quality":"inauspicious"},{"name":"Chala","start":"12:50","end":"14:29","startHours":12.839536020940727,"endHours":14.483517084724799,"quality":"neutral"},{"name":"Labha","start":"14:29","end":"16:08","startHours":14.483517084724799,"endHours":16.12749814850887,"quality":"auspicious"},{"name":"Amṛta","start":"16:08","end":"17:46","startHours":16.12749814850887,"endHours":17.77147921229294,"quality":"auspicious"},{"name":"Kāla","start":"17:46","end":"19:25","startHours":17.77147921229294,"endHours":19.415460276077013,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:25","end":"20:46","startHours":19.415460276077013,"endHours":20.77147921229294,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:08","startHours":20.77147921229294,"endHours":22.12749814850887,"quality":"auspicious"},{"name":"Kāla","start":"22:08","end":"23:29","startHours":22.12749814850887,"endHours":23.4835170847248,"quality":"inauspicious"},{"name":"Śubha","start":"23:29","end":"00:50","startHours":23.4835170847248,"endHours":24.839536020940727,"quality":"auspicious"},{"name":"Roga","start":"00:50","end":"02:12","startHours":24.839536020940727,"endHours":26.195554957156656,"quality":"inauspicious"},{"name":"Udveg","start":"02:12","end":"03:33","startHours":26.195554957156656,"endHours":27.551573893372584,"quality":"inauspicious"},{"name":"Chala","start":"03:33","end":"04:54","startHours":27.551573893372584,"endHours":28.907592829588513,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:16","startHours":28.907592829588513,"endHours":30.26361176580444,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.263611765804442,"endHours":7.263611765804442,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.263611765804442,"endHours":8.263611765804441,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.263611765804441,"endHours":9.263611765804441,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.263611765804441,"endHours":10.263611765804441,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.263611765804441,"endHours":11.263611765804441,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.263611765804441,"endHours":12.263611765804441,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.263611765804441,"endHours":13.263611765804441,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.263611765804441,"endHours":14.263611765804441,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.263611765804441,"endHours":15.263611765804441,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.263611765804441,"endHours":16.26361176580444,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.26361176580444,"endHours":17.26361176580444,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.26361176580444,"endHours":18.26361176580444,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.26361176580444,"endHours":19.26361176580444,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.26361176580444,"endHours":20.26361176580444,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.26361176580444,"endHours":21.26361176580444,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.26361176580444,"endHours":22.26361176580444,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.26361176580444,"endHours":23.26361176580444,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.26361176580444,"endHours":24.26361176580444,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.26361176580444,"endHours":25.26361176580444,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.26361176580444,"endHours":26.26361176580444,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.26361176580444,"endHours":27.26361176580444,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.26361176580444,"endHours":28.26361176580444,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.26361176580444,"endHours":29.26361176580444,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.26361176580444,"endHours":30.26361176580444,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.104386321490594,"eotMinutes":3.7534387435564067,"ayanamsa":21.2737}},"calendars":{"vikram_samvat":1872,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1737,"saka_samvatsara":"Yuva","bengali_samvat":1222,"malayalam_era":991,"nanakshahi_year":346,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pañcamī · Vikram 1872 Sarvadhāri · Śaka 1737 Yuva"},"festivals":[{"id":"shankara-jayanti","name":"Ādi Śaṅkarācārya Jayantī","name_sanskrit":"आदि शङ्कराचार्य जयन्ती","tradition":"Smarta","associated_deity":"Ādi Śaṅkarācārya","significance":"Birth of Ādi Śaṅkara at Kāladī, Kerala; Advaita-pratiṣṭhāpaka.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3}],"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":[]},"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 May 13, 1815 CE · Dvārakā · Vidhyamitra","description":"May 13, 1815 CE for Dvārakā: Śukla Pañcamī, sūryodaya 06:16, sūryāsta 19:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1815-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1815-05-13","sa":"https://sa.vidhyamitra.com/city/dwarka/1815-05-13","hi":"https://hi.vidhyamitra.com/city/dwarka/1815-05-13","x-default":"https://vidhyamitra.com/city/dwarka/1815-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:13:42.061Z","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":"2026-05-31T00:13:42.061Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:13:42.061Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}