{"id":"vidhyamitra:city-day:dwarka:1765-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1765-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1765-03-13","date_display":"March 13, 1765 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":1765,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2365784.770833,"kali_year":4866,"ahargana":1777319.2708,"sun":{"sidereal_longitude":332.8899,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":223.7627,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.8729,"elapsed_within_tithi_degrees":10.8729},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":223.7627,"elapsed_within_degrees":10.4294},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.6526},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1765,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2365784.770833,"ahargana":1777319.2708,"kali_year":4866,"ayanamsa_lahiri":20.573,"grahas":{"sun":{"sidereal_longitude":332.168682,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":224.196682,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-4.34},"mars":{"sidereal_longitude":17.92848200000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":313.760182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":82.73578199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":313.234782,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":29.266182000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":329.072,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":149.072,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1765,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2365784.770833,"kali_year":4866,"ahargana":1777319.2708,"sun":{"sidereal_longitude":332.8899,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":223.7627,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.8729,"elapsed_within_tithi_degrees":10.8729},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":223.7627,"elapsed_within_degrees":10.4294},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.6526},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.34,"elongation":109.127},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.34,"opposition_distance":70.873}},"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":"07:05","sunsetLocal":"19:03","solarNoonLocal":"13:04","dayLengthHours":11.96297295384906,"dayLengthDisplay":"11 Hours 57 Mins 47 Secs","nightLengthDisplay":"12 Hours 02 Mins 13 Secs","moonriseLocal":"00:26","moonsetLocal":"11:19","rahuKala":{"name":"Rāhu Kāla","start":"13:04","end":"14:34","startHours":13.07239199881348,"endHours":14.567763618044612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:35","end":"10:05","startHours":8.586277141120082,"endHours":10.081648760351214,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:35","end":"13:04","startHours":11.577020379582347,"endHours":13.07239199881348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:17","startHours":9.882265877787063,"endHours":10.281031642915364,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:55","startHours":7.589362728299326,"endHours":7.908375340401967,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:40","end":"13:28","startHours":12.673626233685178,"endHours":13.47115776394178,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:30","end":"06:18","startHours":5.49584246137574,"endHours":6.293373991632344,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"07:05","startHours":6.0939911090681935,"endHours":7.090905521888948,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:04","end":"15:52","startHours":15.06622082445499,"endHours":15.863752354711593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.85387847573801,"endHours":19.25387847573801,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:33","startHours":19.05387847573801,"endHours":19.55233568214839,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.80387847573801,"endHours":20.55387847573801,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:40","end":"01:28","startHours":24.673626233685177,"endHours":25.471157763941783,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:05","end":"08:35","startHours":7.090905521888948,"endHours":8.586277141120082,"quality":"auspicious"},{"name":"Amṛta","start":"08:35","end":"10:05","startHours":8.586277141120082,"endHours":10.081648760351214,"quality":"auspicious"},{"name":"Kāla","start":"10:05","end":"11:35","startHours":10.081648760351214,"endHours":11.577020379582347,"quality":"inauspicious"},{"name":"Śubha","start":"11:35","end":"13:04","startHours":11.577020379582347,"endHours":13.07239199881348,"quality":"auspicious"},{"name":"Roga","start":"13:04","end":"14:34","startHours":13.07239199881348,"endHours":14.567763618044612,"quality":"inauspicious"},{"name":"Udveg","start":"14:34","end":"16:04","startHours":14.567763618044612,"endHours":16.063135237275745,"quality":"inauspicious"},{"name":"Chala","start":"16:04","end":"17:34","startHours":16.063135237275745,"endHours":17.558506856506877,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:03","startHours":17.558506856506877,"endHours":19.05387847573801,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:03","end":"20:34","startHours":19.05387847573801,"endHours":20.558506856506877,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"22:04","startHours":20.558506856506877,"endHours":22.063135237275745,"quality":"neutral"},{"name":"Labha","start":"22:04","end":"23:34","startHours":22.063135237275745,"endHours":23.567763618044612,"quality":"auspicious"},{"name":"Amṛta","start":"23:34","end":"01:04","startHours":23.567763618044612,"endHours":25.07239199881348,"quality":"auspicious"},{"name":"Kāla","start":"01:04","end":"02:35","startHours":25.07239199881348,"endHours":26.577020379582347,"quality":"inauspicious"},{"name":"Śubha","start":"02:35","end":"04:05","startHours":26.577020379582347,"endHours":28.081648760351214,"quality":"auspicious"},{"name":"Roga","start":"04:05","end":"05:35","startHours":28.081648760351214,"endHours":29.586277141120082,"quality":"inauspicious"},{"name":"Udveg","start":"05:35","end":"07:05","startHours":29.586277141120082,"endHours":31.09090552188895,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.090905521888948,"endHours":8.09090552188895,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.09090552188895,"endHours":9.09090552188895,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.09090552188895,"endHours":10.09090552188895,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.09090552188895,"endHours":11.09090552188895,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.09090552188895,"endHours":12.09090552188895,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.09090552188895,"endHours":13.09090552188895,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.09090552188895,"endHours":14.09090552188895,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.09090552188895,"endHours":15.09090552188895,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.09090552188895,"endHours":16.09090552188895,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.09090552188895,"endHours":17.09090552188895,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.09090552188895,"endHours":18.09090552188895,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.09090552188895,"endHours":19.09090552188895,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.09090552188895,"endHours":20.09090552188895,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.09090552188895,"endHours":21.09090552188895,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.09090552188895,"endHours":22.09090552188895,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.09090552188895,"endHours":23.09090552188895,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.09090552188895,"endHours":24.09090552188895,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.09090552188895,"endHours":25.09090552188895,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.09090552188895,"endHours":26.09090552188895,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.09090552188895,"endHours":27.09090552188895,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.09090552188895,"endHours":28.09090552188895,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.09090552188895,"endHours":29.09090552188895,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.09090552188895,"endHours":30.09090552188895,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.09090552188895,"endHours":31.09090552188895,"planetary_lord":"Sun"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.880366447614116,"eotMinutes":-10.217919928808794,"ayanamsa":20.573}},"calendars":{"vikram_samvat":1822,"vikram_samvatsara":"Vilambī","saka_samvat":1687,"saka_samvatsara":"Pārthiva","bengali_samvat":1172,"malayalam_era":941,"nanakshahi_year":296,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Ṣaṣṭhī · Vikram 1822 Vilambī · Śaka 1687 Pārthiva"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 March 13, 1765 CE · Dvārakā · Vidhyamitra","description":"March 13, 1765 CE for Dvārakā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:05, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1765-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1765-03-13","sa":"https://sa.vidhyamitra.com/city/dwarka/1765-03-13","hi":"https://hi.vidhyamitra.com/city/dwarka/1765-03-13","x-default":"https://vidhyamitra.com/city/dwarka/1765-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:22:29.081Z","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":"2026-06-03T04:22:29.081Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:22:29.081Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}