{"id":"vidhyamitra:city-day:dwarka:1668-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1668-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1668-07-13","date_display":"July 13, 1668 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":1668,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2330478.770833,"kali_year":4770,"ahargana":1742013.2708,"sun":{"sidereal_longitude":92.2795,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":137.3109,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.0314,"elapsed_within_tithi_degrees":9.0314},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.3109,"elapsed_within_degrees":3.9776},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.5904},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1668,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2330478.770833,"ahargana":1742013.2708,"kali_year":4770,"ayanamsa_lahiri":19.2227,"grahas":{"sun":{"sidereal_longitude":91.94042999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":134.02993000000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":4.4608},"mars":{"sidereal_longitude":201.44502999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":115.61343,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":48.211929999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":141.68223,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":297.04252999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":39.7538,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.7538,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":1668,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2330478.770833,"kali_year":4770,"ahargana":1742013.2708,"sun":{"sidereal_longitude":92.2795,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":137.3109,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.0314,"elapsed_within_tithi_degrees":9.0314},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.3109,"elapsed_within_degrees":3.9776},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.5904},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.461,"elongation":45.031},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.461,"opposition_distance":134.969}},"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":"06:18","sunsetLocal":"19:41","solarNoonLocal":"12:59","dayLengthHours":13.384370045229089,"dayLengthDisplay":"13 Hours 23 Mins 04 Secs","nightLengthDisplay":"10 Hours 36 Mins 56 Secs","moonriseLocal":"09:28","moonsetLocal":"22:07","rahuKala":{"name":"Rāhu Kāla","start":"11:19","end":"12:59","startHours":11.31840422511571,"endHours":12.991450480769345,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:20","end":"18:01","startHours":16.337542992076617,"endHours":18.010589247730252,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:58","end":"09:39","startHours":7.972311713808438,"endHours":9.645357969462074,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:52","startHours":9.422285135374922,"endHours":9.868430803549225,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:13","startHours":6.85694754337268,"endHours":7.213864077912122,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:33","end":"13:26","startHours":12.545304812595042,"endHours":13.437596148943648,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:24","startHours":4.514682785457589,"endHours":5.406974121806195,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:18","startHours":5.183901287719044,"endHours":6.299265458154801,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:13","end":"16:07","startHours":15.22217882164086,"endHours":16.114470157989466,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:29","end":"19:53","startHours":19.48363550338389,"endHours":19.88363550338389,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:41","end":"20:14","startHours":19.68363550338389,"endHours":20.241317588601767,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:26","end":"21:11","startHours":19.43363550338389,"endHours":21.18363550338389,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:33","end":"01:26","startHours":24.54530481259504,"endHours":25.437596148943648,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:18","end":"07:58","startHours":6.299265458154801,"endHours":7.972311713808438,"quality":"neutral"},{"name":"Labha","start":"07:58","end":"09:39","startHours":7.972311713808438,"endHours":9.645357969462074,"quality":"auspicious"},{"name":"Amṛta","start":"09:39","end":"11:19","startHours":9.645357969462074,"endHours":11.31840422511571,"quality":"auspicious"},{"name":"Kāla","start":"11:19","end":"12:59","startHours":11.31840422511571,"endHours":12.991450480769345,"quality":"inauspicious"},{"name":"Śubha","start":"12:59","end":"14:40","startHours":12.991450480769345,"endHours":14.664496736422981,"quality":"auspicious"},{"name":"Roga","start":"14:40","end":"16:20","startHours":14.664496736422981,"endHours":16.337542992076617,"quality":"inauspicious"},{"name":"Udveg","start":"16:20","end":"18:01","startHours":16.337542992076617,"endHours":18.010589247730252,"quality":"inauspicious"},{"name":"Chala","start":"18:01","end":"19:41","startHours":18.010589247730252,"endHours":19.68363550338389,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:41","end":"21:01","startHours":19.68363550338389,"endHours":21.010589247730255,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:20","startHours":21.010589247730255,"endHours":22.337542992076617,"quality":"inauspicious"},{"name":"Chala","start":"22:20","end":"23:40","startHours":22.337542992076617,"endHours":23.664496736422983,"quality":"neutral"},{"name":"Labha","start":"23:40","end":"00:59","startHours":23.664496736422983,"endHours":24.991450480769345,"quality":"auspicious"},{"name":"Amṛta","start":"00:59","end":"02:19","startHours":24.991450480769345,"endHours":26.31840422511571,"quality":"auspicious"},{"name":"Kāla","start":"02:19","end":"03:39","startHours":26.31840422511571,"endHours":27.645357969462076,"quality":"inauspicious"},{"name":"Śubha","start":"03:39","end":"04:58","startHours":27.645357969462076,"endHours":28.972311713808438,"quality":"auspicious"},{"name":"Roga","start":"04:58","end":"06:18","startHours":28.972311713808438,"endHours":30.2992654581548,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.299265458154801,"endHours":7.299265458154801,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.299265458154801,"endHours":8.299265458154801,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.299265458154801,"endHours":9.299265458154801,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.299265458154801,"endHours":10.299265458154801,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.299265458154801,"endHours":11.299265458154801,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.299265458154801,"endHours":12.299265458154801,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.299265458154801,"endHours":13.299265458154801,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.299265458154801,"endHours":14.299265458154801,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.299265458154801,"endHours":15.299265458154801,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.299265458154801,"endHours":16.2992654581548,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.2992654581548,"endHours":17.2992654581548,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.2992654581548,"endHours":18.2992654581548,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.2992654581548,"endHours":19.2992654581548,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.2992654581548,"endHours":20.2992654581548,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.2992654581548,"endHours":21.2992654581548,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.2992654581548,"endHours":22.2992654581548,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.2992654581548,"endHours":23.2992654581548,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.2992654581548,"endHours":24.2992654581548,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.2992654581548,"endHours":25.2992654581548,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.2992654581548,"endHours":26.2992654581548,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.2992654581548,"endHours":27.2992654581548,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.2992654581548,"endHours":28.2992654581548,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.2992654581548,"endHours":29.2992654581548,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.2992654581548,"endHours":30.2992654581548,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.771621844885182,"eotMinutes":-5.361428846160681,"ayanamsa":19.2227}},"calendars":{"vikram_samvat":1725,"vikram_samvatsara":"Durmati","saka_samvat":1590,"saka_samvatsara":"Kīlaka","bengali_samvat":1075,"malayalam_era":844,"nanakshahi_year":199,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla 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":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturthī · Vikram 1725 Durmati · Śaka 1590 Kīlaka"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 13, 1668 CE · Dvārakā · Vidhyamitra","description":"July 13, 1668 CE for Dvārakā: Śukla Caturthī, sūryodaya 06:18, sūryāsta 19:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1668-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1668-07-13","sa":"https://sa.vidhyamitra.com/city/dwarka/1668-07-13","hi":"https://hi.vidhyamitra.com/city/dwarka/1668-07-13","x-default":"https://vidhyamitra.com/city/dwarka/1668-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-06T06:10:02.019Z","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":"2026-06-06T06:10:02.019Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-06T06:10:02.019Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}