{"id":"vidhyamitra:city-day:dwarka:1748-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1748-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1748-10-13","date_display":"October 13, 1748 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":1748,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2359789.770833,"kali_year":4850,"ahargana":1771324.2708,"sun":{"sidereal_longitude":179.5905,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":75.3756,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.7852,"elapsed_within_tithi_degrees":3.7852},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.3756,"elapsed_within_degrees":8.709},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.9661},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1748,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2359789.770833,"ahargana":1771324.2708,"kali_year":4850,"ayanamsa_lahiri":20.3437,"grahas":{"sun":{"sidereal_longitude":179.71493499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":75.02863500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":2.3388},"mars":{"sidereal_longitude":151.155035,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":195.650935,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":295.807135,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":137.90963499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":201.37113499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":286.7159,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":106.7159,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1748,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2359789.770833,"kali_year":4850,"ahargana":1771324.2708,"sun":{"sidereal_longitude":179.5905,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":75.3756,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.7852,"elapsed_within_tithi_degrees":3.7852},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.3756,"elapsed_within_degrees":8.709},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.9661},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.339,"elongation":104.215},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.339,"opposition_distance":75.785}},"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":"06:49","sunsetLocal":"18:30","solarNoonLocal":"12:40","dayLengthHours":11.690894633192428,"dayLengthDisplay":"11 Hours 41 Mins 27 Secs","nightLengthDisplay":"12 Hours 18 Mins 33 Secs","moonriseLocal":"22:58","moonsetLocal":"12:24","rahuKala":{"name":"Rāhu Kāla","start":"17:03","end":"18:30","startHours":17.04547166731257,"endHours":18.506833496461624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:40","end":"14:07","startHours":12.66138617986541,"endHours":14.122748009014462,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:35","end":"17:03","startHours":15.584109838163517,"endHours":17.04547166731257,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:56","startHours":9.543814277680761,"endHours":9.933510765453843,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:37","startHours":7.303059472985546,"endHours":7.614816663204011,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:03","startHours":12.271689692092329,"endHours":13.051082667638491,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:15","end":"06:02","startHours":5.2571529121768705,"endHours":6.036545887723033,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:49","startHours":5.8416976438364925,"endHours":6.815938863269195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:23","startHours":14.609868618730815,"endHours":15.389261594276977,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.306833496461625,"endHours":18.706833496461623,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:00","startHours":18.506833496461624,"endHours":18.993954106177974,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.256833496461624,"endHours":20.006833496461624,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:03","startHours":24.27168969209233,"endHours":25.05108266763849,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:49","end":"08:17","startHours":6.815938863269195,"endHours":8.277300692418248,"quality":"inauspicious"},{"name":"Chala","start":"08:17","end":"09:44","startHours":8.277300692418248,"endHours":9.738662521567303,"quality":"neutral"},{"name":"Labha","start":"09:44","end":"11:12","startHours":9.738662521567303,"endHours":11.200024350716355,"quality":"auspicious"},{"name":"Amṛta","start":"11:12","end":"12:40","startHours":11.200024350716355,"endHours":12.66138617986541,"quality":"auspicious"},{"name":"Kāla","start":"12:40","end":"14:07","startHours":12.66138617986541,"endHours":14.122748009014462,"quality":"inauspicious"},{"name":"Śubha","start":"14:07","end":"15:35","startHours":14.122748009014462,"endHours":15.584109838163517,"quality":"auspicious"},{"name":"Roga","start":"15:35","end":"17:03","startHours":15.584109838163517,"endHours":17.04547166731257,"quality":"inauspicious"},{"name":"Udveg","start":"17:03","end":"18:30","startHours":17.04547166731257,"endHours":18.506833496461624,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:30","end":"20:03","startHours":18.506833496461624,"endHours":20.04547166731257,"quality":"auspicious"},{"name":"Roga","start":"20:03","end":"21:35","startHours":20.04547166731257,"endHours":21.584109838163517,"quality":"inauspicious"},{"name":"Udveg","start":"21:35","end":"23:07","startHours":21.584109838163517,"endHours":23.122748009014465,"quality":"inauspicious"},{"name":"Chala","start":"23:07","end":"00:40","startHours":23.122748009014465,"endHours":24.66138617986541,"quality":"neutral"},{"name":"Labha","start":"00:40","end":"02:12","startHours":24.66138617986541,"endHours":26.200024350716355,"quality":"auspicious"},{"name":"Amṛta","start":"02:12","end":"03:44","startHours":26.200024350716355,"endHours":27.738662521567303,"quality":"auspicious"},{"name":"Kāla","start":"03:44","end":"05:17","startHours":27.738662521567303,"endHours":29.27730069241825,"quality":"inauspicious"},{"name":"Śubha","start":"05:17","end":"06:49","startHours":29.27730069241825,"endHours":30.815938863269196,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:49","end":"07:49","startHours":6.815938863269195,"endHours":7.815938863269195,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:49","end":"08:49","startHours":7.815938863269195,"endHours":8.815938863269196,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:49","end":"09:49","startHours":8.815938863269196,"endHours":9.815938863269196,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:49","end":"10:49","startHours":9.815938863269196,"endHours":10.815938863269196,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:49","end":"11:49","startHours":10.815938863269196,"endHours":11.815938863269196,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:49","end":"12:49","startHours":11.815938863269196,"endHours":12.815938863269196,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:49","end":"13:49","startHours":12.815938863269196,"endHours":13.815938863269196,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:49","end":"14:49","startHours":13.815938863269196,"endHours":14.815938863269196,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:49","end":"15:49","startHours":14.815938863269196,"endHours":15.815938863269196,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:49","end":"16:49","startHours":15.815938863269196,"endHours":16.815938863269196,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:49","end":"17:49","startHours":16.815938863269196,"endHours":17.815938863269196,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:49","end":"18:49","startHours":17.815938863269196,"endHours":18.815938863269196,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:49","end":"19:49","startHours":18.815938863269196,"endHours":19.815938863269196,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:49","end":"20:49","startHours":19.815938863269196,"endHours":20.815938863269196,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:49","end":"21:49","startHours":20.815938863269196,"endHours":21.815938863269196,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:49","end":"22:49","startHours":21.815938863269196,"endHours":22.815938863269196,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:49","end":"23:49","startHours":22.815938863269196,"endHours":23.815938863269196,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:49","end":"00:49","startHours":23.815938863269196,"endHours":24.815938863269196,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:49","end":"01:49","startHours":24.815938863269196,"endHours":25.815938863269196,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:49","end":"02:49","startHours":25.815938863269196,"endHours":26.815938863269196,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:49","end":"03:49","startHours":26.815938863269196,"endHours":27.815938863269196,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:49","end":"04:49","startHours":27.815938863269196,"endHours":28.815938863269196,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:49","end":"05:49","startHours":28.815938863269196,"endHours":29.815938863269196,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:49","end":"06:49","startHours":29.815938863269196,"endHours":30.815938863269196,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.840446059042331,"eotMinutes":14.442429208075392,"ayanamsa":20.3437}},"calendars":{"vikram_samvat":1805,"vikram_samvatsara":"Vṛṣa","saka_samvat":1670,"saka_samvatsara":"Vibhava","bengali_samvat":1155,"malayalam_era":924,"nanakshahi_year":279,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram 1805 Vṛṣa · Śaka 1670 Vibhava"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 October 13, 1748 CE · Dvārakā · Vidhyamitra","description":"October 13, 1748 CE for Dvārakā: Kṛṣṇa Saptamī, sūryodaya 06:49, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1748-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1748-10-13","sa":"https://sa.vidhyamitra.com/city/dwarka/1748-10-13","hi":"https://hi.vidhyamitra.com/city/dwarka/1748-10-13","x-default":"https://vidhyamitra.com/city/dwarka/1748-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:45:34.378Z","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":"2026-06-01T10:45:34.378Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:45:34.378Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}