{"id":"vidhyamitra:city-day:dwarka:-3115-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/-3115-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3115-05-13","date_display":"May 13, 3116 BCE","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":-3115,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583436.770833,"kali_year":-13,"ahargana":-5028.7292,"sun":{"sidereal_longitude":83.4067,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":335.8813,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.4746,"elapsed_within_tithi_degrees":0.4746},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.8813,"elapsed_within_degrees":2.548},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.288},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":-3115,"month":5,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":583436.770833,"ahargana":-5028.7292,"kali_year":-13,"ayanamsa_lahiri":-47.5951,"grahas":{"sun":{"sidereal_longitude":83.4067,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":335.8813,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":-4.2127},"mars":{"sidereal_longitude":196.1456,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":69.7141,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":307.0889,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":129.2119,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":193.2285,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":86.4463,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":266.4463,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3115,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583436.770833,"kali_year":-13,"ahargana":-5028.7292,"sun":{"sidereal_longitude":83.4067,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":335.8813,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.4746,"elapsed_within_tithi_degrees":0.4746},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.8813,"elapsed_within_degrees":2.548},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.288},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.213,"elongation":107.525},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.213,"opposition_distance":72.475}},"eclipse_window_40days":[{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":0.559,"opposition_distance":1.892}]},"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":"06:24","sunsetLocal":"19:17","solarNoonLocal":"12:50","dayLengthHours":12.872752728589205,"dayLengthDisplay":"12 Hours 52 Mins 22 Secs","nightLengthDisplay":"11 Hours 07 Mins 38 Secs","moonriseLocal":"00:16","moonsetLocal":"11:05","rahuKala":{"name":"Rāhu Kāla","start":"16:03","end":"17:40","startHours":16.05772420308803,"endHours":17.66681829416168,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:37","end":"11:14","startHours":9.621347838793426,"endHours":11.230441929867077,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:50","end":"14:27","startHours":12.839536020940727,"endHours":14.448630112014378,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:50","startHours":9.406801959983605,"endHours":9.835893717603245,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:17","startHours":6.939524353670674,"endHours":7.282797759766386,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:25","end":"13:16","startHours":12.410444263321088,"endHours":13.268627778560367,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:41","end":"05:33","startHours":4.686792626167563,"endHours":5.544976141406844,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:24","startHours":5.330430262597023,"endHours":6.403159656646124,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:59","end":"15:51","startHours":14.984994809038927,"endHours":15.843178324278208,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.07591238523533,"endHours":19.47591238523533,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:49","startHours":19.27591238523533,"endHours":19.81227708225988,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.02591238523533,"endHours":20.77591238523533,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:25","end":"01:16","startHours":24.410444263321086,"endHours":25.26862777856037,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:24","end":"08:01","startHours":6.403159656646124,"endHours":8.012253747719775,"quality":"inauspicious"},{"name":"Udveg","start":"08:01","end":"09:37","startHours":8.012253747719775,"endHours":9.621347838793426,"quality":"inauspicious"},{"name":"Chala","start":"09:37","end":"11:14","startHours":9.621347838793426,"endHours":11.230441929867077,"quality":"neutral"},{"name":"Labha","start":"11:14","end":"12:50","startHours":11.230441929867077,"endHours":12.839536020940727,"quality":"auspicious"},{"name":"Amṛta","start":"12:50","end":"14:27","startHours":12.839536020940727,"endHours":14.448630112014378,"quality":"auspicious"},{"name":"Kāla","start":"14:27","end":"16:03","startHours":14.448630112014378,"endHours":16.05772420308803,"quality":"inauspicious"},{"name":"Śubha","start":"16:03","end":"17:40","startHours":16.05772420308803,"endHours":17.66681829416168,"quality":"auspicious"},{"name":"Roga","start":"17:40","end":"19:17","startHours":17.66681829416168,"endHours":19.27591238523533,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:17","end":"20:40","startHours":19.27591238523533,"endHours":20.66681829416168,"quality":"inauspicious"},{"name":"Śubha","start":"20:40","end":"22:03","startHours":20.66681829416168,"endHours":22.05772420308803,"quality":"auspicious"},{"name":"Roga","start":"22:03","end":"23:27","startHours":22.05772420308803,"endHours":23.448630112014378,"quality":"inauspicious"},{"name":"Udveg","start":"23:27","end":"00:50","startHours":23.448630112014378,"endHours":24.839536020940727,"quality":"inauspicious"},{"name":"Chala","start":"00:50","end":"02:14","startHours":24.839536020940727,"endHours":26.230441929867077,"quality":"neutral"},{"name":"Labha","start":"02:14","end":"03:37","startHours":26.230441929867077,"endHours":27.621347838793426,"quality":"auspicious"},{"name":"Amṛta","start":"03:37","end":"05:01","startHours":27.621347838793426,"endHours":29.012253747719775,"quality":"auspicious"},{"name":"Kāla","start":"05:01","end":"06:24","startHours":29.012253747719775,"endHours":30.403159656646125,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.403159656646124,"endHours":7.403159656646124,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.403159656646124,"endHours":8.403159656646125,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.403159656646125,"endHours":9.403159656646125,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.403159656646125,"endHours":10.403159656646125,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.403159656646125,"endHours":11.403159656646125,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.403159656646125,"endHours":12.403159656646125,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.403159656646125,"endHours":13.403159656646125,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.403159656646125,"endHours":14.403159656646125,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.403159656646125,"endHours":15.403159656646125,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.403159656646125,"endHours":16.403159656646125,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.403159656646125,"endHours":17.403159656646125,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.403159656646125,"endHours":18.403159656646125,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.403159656646125,"endHours":19.403159656646125,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.403159656646125,"endHours":20.403159656646125,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.403159656646125,"endHours":21.403159656646125,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.403159656646125,"endHours":22.403159656646125,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.403159656646125,"endHours":23.403159656646125,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.403159656646125,"endHours":24.403159656646125,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.403159656646125,"endHours":25.403159656646125,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.403159656646125,"endHours":26.403159656646125,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.403159656646125,"endHours":27.403159656646125,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.403159656646125,"endHours":28.403159656646125,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.403159656646125,"endHours":29.403159656646125,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.403159656646125,"endHours":30.403159656646125,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.457378134905806,"eotMinutes":3.7534387435564067,"ayanamsa":-47.5951}},"calendars":{"vikram_samvat":-3058,"saka_samvat":-3193,"bengali_samvat":-3708,"malayalam_era":-3939,"nanakshahi_year":-4584,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Saptamī · Vikram -3058 undefined · Śaka -3193 undefined"},"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":[]},"validity":{"eternal":true,"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, 3116 BCE · Dvārakā · Vidhyamitra","description":"May 13, 3116 BCE for Dvārakā: Kṛṣṇa Saptamī, sūryodaya 06:24, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/-3115-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/-3115-05-13","sa":"https://sa.vidhyamitra.com/city/dwarka/-3115-05-13","hi":"https://hi.vidhyamitra.com/city/dwarka/-3115-05-13","x-default":"https://vidhyamitra.com/city/dwarka/-3115-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:36:11.767Z","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":"2026-06-02T00:36:11.767Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:36:11.767Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}