{"id":"vidhyamitra:city-day:dwarka:1687-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1687-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1687-05-13","date_display":"May 13, 1687 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":1687,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2337356.770833,"kali_year":4789,"ahargana":1748891.2708,"sun":{"sidereal_longitude":33.5102,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":53.9691,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.4589,"elapsed_within_tithi_degrees":8.4589},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.9691,"elapsed_within_degrees":0.6358},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.4793},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":1687,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2337356.770833,"ahargana":1748891.2708,"kali_year":4789,"ayanamsa_lahiri":19.4857,"grahas":{"sun":{"sidereal_longitude":32.812839999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.37164000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":1.4373},"mars":{"sidereal_longitude":289.1077399999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":33.13983999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":247.75084000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"venus":{"sidereal_longitude":61.680139999999994,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":171.13174000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":35.3242,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.3242,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":1687,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2337356.770833,"kali_year":4789,"ahargana":1748891.2708,"sun":{"sidereal_longitude":33.5102,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":53.9691,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.4589,"elapsed_within_tithi_degrees":8.4589},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.9691,"elapsed_within_degrees":0.6358},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.4793},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.437,"elongation":20.459},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.437,"opposition_distance":159.541}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":-0.85,"opposition_distance":1.381}]},"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":"06:15","sunsetLocal":"19:25","solarNoonLocal":"12:50","dayLengthHours":13.166551378940852,"dayLengthDisplay":"13 Hours 10 Mins 00 Secs","nightLengthDisplay":"10 Hours 50 Mins 00 Secs","moonriseLocal":"07:24","moonsetLocal":"20:46","rahuKala":{"name":"Rāhu Kāla","start":"16:08","end":"17:47","startHours":16.13117386567594,"endHours":17.776992788043547,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:33","end":"11:12","startHours":9.547898176205514,"endHours":11.19371709857312,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:50","end":"14:29","startHours":12.839536020940727,"endHours":14.485354943308334,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:46","startHours":9.328455653223166,"endHours":9.767340699187862,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:09","startHours":6.80486663892617,"endHours":7.155974675697927,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:24","end":"13:17","startHours":12.400650974976033,"endHours":13.278421066905421,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:23","startHours":4.500720147611521,"endHours":5.378490239540911,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:15","startHours":5.159047716558564,"endHours":6.256260331470301,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:02","end":"15:55","startHours":15.033961250764202,"endHours":15.911731342693592,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:13","end":"19:37","startHours":19.222811710411154,"endHours":19.622811710411153,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:25","end":"19:58","startHours":19.422811710411153,"endHours":19.971418017867023,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:10","end":"20:55","startHours":19.172811710411153,"endHours":20.922811710411153,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:24","end":"01:17","startHours":24.40065097497603,"endHours":25.278421066905423,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:15","end":"07:54","startHours":6.256260331470301,"endHours":7.902079253837908,"quality":"inauspicious"},{"name":"Udveg","start":"07:54","end":"09:33","startHours":7.902079253837908,"endHours":9.547898176205514,"quality":"inauspicious"},{"name":"Chala","start":"09:33","end":"11:12","startHours":9.547898176205514,"endHours":11.19371709857312,"quality":"neutral"},{"name":"Labha","start":"11:12","end":"12:50","startHours":11.19371709857312,"endHours":12.839536020940727,"quality":"auspicious"},{"name":"Amṛta","start":"12:50","end":"14:29","startHours":12.839536020940727,"endHours":14.485354943308334,"quality":"auspicious"},{"name":"Kāla","start":"14:29","end":"16:08","startHours":14.485354943308334,"endHours":16.13117386567594,"quality":"inauspicious"},{"name":"Śubha","start":"16:08","end":"17:47","startHours":16.13117386567594,"endHours":17.776992788043547,"quality":"auspicious"},{"name":"Roga","start":"17:47","end":"19:25","startHours":17.776992788043547,"endHours":19.422811710411153,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:25","end":"20:47","startHours":19.422811710411153,"endHours":20.776992788043547,"quality":"inauspicious"},{"name":"Śubha","start":"20:47","end":"22:08","startHours":20.776992788043547,"endHours":22.13117386567594,"quality":"auspicious"},{"name":"Roga","start":"22:08","end":"23:29","startHours":22.13117386567594,"endHours":23.485354943308334,"quality":"inauspicious"},{"name":"Udveg","start":"23:29","end":"00:50","startHours":23.485354943308334,"endHours":24.839536020940727,"quality":"inauspicious"},{"name":"Chala","start":"00:50","end":"02:12","startHours":24.839536020940727,"endHours":26.19371709857312,"quality":"neutral"},{"name":"Labha","start":"02:12","end":"03:33","startHours":26.19371709857312,"endHours":27.547898176205514,"quality":"auspicious"},{"name":"Amṛta","start":"03:33","end":"04:54","startHours":27.547898176205514,"endHours":28.902079253837908,"quality":"auspicious"},{"name":"Kāla","start":"04:54","end":"06:15","startHours":28.902079253837908,"endHours":30.2562603314703,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.256260331470301,"endHours":7.256260331470301,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.256260331470301,"endHours":8.256260331470301,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.256260331470301,"endHours":9.256260331470301,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.256260331470301,"endHours":10.256260331470301,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.256260331470301,"endHours":11.256260331470301,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.256260331470301,"endHours":12.256260331470301,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.256260331470301,"endHours":13.256260331470301,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.256260331470301,"endHours":14.256260331470301,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.256260331470301,"endHours":15.256260331470301,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.256260331470301,"endHours":16.2562603314703,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.2562603314703,"endHours":17.2562603314703,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.2562603314703,"endHours":18.2562603314703,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.2562603314703,"endHours":19.2562603314703,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.2562603314703,"endHours":20.2562603314703,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.2562603314703,"endHours":21.2562603314703,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.2562603314703,"endHours":22.2562603314703,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.2562603314703,"endHours":23.2562603314703,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.2562603314703,"endHours":24.2562603314703,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.2562603314703,"endHours":25.2562603314703,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.2562603314703,"endHours":26.2562603314703,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.2562603314703,"endHours":27.2562603314703,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.2562603314703,"endHours":28.2562603314703,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.2562603314703,"endHours":29.2562603314703,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.2562603314703,"endHours":30.2562603314703,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.342045177610437,"eotMinutes":3.7534387435564067,"ayanamsa":19.4857}},"calendars":{"vikram_samvat":1744,"vikram_samvatsara":"Vikrama","saka_samvat":1609,"saka_samvatsara":"Prabhava","bengali_samvat":1094,"malayalam_era":863,"nanakshahi_year":218,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha (Adhika) Śukla Dvitīyā · Vikram 1744 Vikrama · Śaka 1609 Prabhava"},"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":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, 1687 CE · Dvārakā · Vidhyamitra","description":"May 13, 1687 CE for Dvārakā: Śukla Dvitīyā, sūryodaya 06:15, sūryāsta 19:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1687-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1687-05-13","sa":"https://sa.vidhyamitra.com/city/dwarka/1687-05-13","hi":"https://hi.vidhyamitra.com/city/dwarka/1687-05-13","x-default":"https://vidhyamitra.com/city/dwarka/1687-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:31:17.754Z","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":"2026-06-03T07:31:17.754Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:31:17.754Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}