{"id":"vidhyamitra:city-day:haridwar:1663-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/1663-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1663-03-13","date_display":"March 13, 1663 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":1663,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328529.770833,"kali_year":4764,"ahargana":1740064.2708,"sun":{"sidereal_longitude":334.2763,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":16.9981,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.7218,"elapsed_within_tithi_degrees":6.7218},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":16.9981,"elapsed_within_degrees":3.6648},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.2744},"karana":{"half_tithi_index":7,"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":1663,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2328529.770833,"ahargana":1740064.2708,"kali_year":4764,"ayanamsa_lahiri":19.1481,"grahas":{"sun":{"sidereal_longitude":333.31999700000006,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":17.85229700000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-3.6382},"mars":{"sidereal_longitude":322.51339699999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":355.633997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":239.90609700000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":345.320597,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":242.168497,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":143.0212,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":323.0212,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1663,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328529.770833,"kali_year":4764,"ahargana":1740064.2708,"sun":{"sidereal_longitude":334.2763,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":16.9981,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.7218,"elapsed_within_tithi_degrees":6.7218},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":16.9981,"elapsed_within_degrees":3.6648},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.2744},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.638,"elongation":42.722},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.638,"opposition_distance":137.278}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-0.642,"opposition_distance":0.558}]},"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:31","sunsetLocal":"18:25","solarNoonLocal":"12:28","dayLengthHours":11.898592136172336,"dayLengthDisplay":"11 Hours 53 Mins 55 Secs","nightLengthDisplay":"12 Hours 06 Mins 05 Secs","moonriseLocal":"08:50","moonsetLocal":"22:01","rahuKala":{"name":"Rāhu Kāla","start":"15:26","end":"16:55","startHours":15.434000032856563,"endHours":16.921324049878105,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:29","end":"10:58","startHours":9.484703964770397,"endHours":10.972027981791937,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:57","startHours":12.45935199881348,"endHours":13.946676015835022,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:41","startHours":9.28639409583419,"endHours":9.683013833706601,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:19","startHours":7.0058306030678255,"endHours":7.323126393365754,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:51","startHours":12.062732260941068,"endHours":12.855971736685891,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:43","startHours":4.923576979237667,"endHours":5.716816454982489,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:31","startHours":5.518506586046284,"endHours":6.510055930727312,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:14","startHours":14.442450688175537,"endHours":15.23569016392036,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.20864806689965,"endHours":18.608648066899647,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:54","startHours":18.408648066899648,"endHours":18.90442273924016,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.158648066899648,"endHours":19.908648066899648,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:51","startHours":24.062732260941072,"endHours":24.85597173668589,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:31","end":"08:00","startHours":6.510055930727312,"endHours":7.997379947748854,"quality":"inauspicious"},{"name":"Udveg","start":"08:00","end":"09:29","startHours":7.997379947748854,"endHours":9.484703964770397,"quality":"inauspicious"},{"name":"Chala","start":"09:29","end":"10:58","startHours":9.484703964770397,"endHours":10.972027981791937,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:28","startHours":10.972027981791937,"endHours":12.45935199881348,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:57","startHours":12.45935199881348,"endHours":13.946676015835022,"quality":"auspicious"},{"name":"Kāla","start":"13:57","end":"15:26","startHours":13.946676015835022,"endHours":15.434000032856563,"quality":"inauspicious"},{"name":"Śubha","start":"15:26","end":"16:55","startHours":15.434000032856563,"endHours":16.921324049878105,"quality":"auspicious"},{"name":"Roga","start":"16:55","end":"18:25","startHours":16.921324049878105,"endHours":18.408648066899648,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:25","end":"19:55","startHours":18.408648066899648,"endHours":19.921324049878105,"quality":"inauspicious"},{"name":"Śubha","start":"19:55","end":"21:26","startHours":19.921324049878105,"endHours":21.434000032856563,"quality":"auspicious"},{"name":"Roga","start":"21:26","end":"22:57","startHours":21.434000032856563,"endHours":22.946676015835024,"quality":"inauspicious"},{"name":"Udveg","start":"22:57","end":"00:28","startHours":22.946676015835024,"endHours":24.45935199881348,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"01:58","startHours":24.45935199881348,"endHours":25.97202798179194,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:29","startHours":25.97202798179194,"endHours":27.484703964770397,"quality":"auspicious"},{"name":"Amṛta","start":"03:29","end":"05:00","startHours":27.484703964770397,"endHours":28.997379947748854,"quality":"auspicious"},{"name":"Kāla","start":"05:00","end":"06:31","startHours":28.997379947748854,"endHours":30.51005593072731,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.510055930727312,"endHours":7.510055930727312,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.510055930727312,"endHours":8.510055930727312,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.510055930727312,"endHours":9.510055930727312,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.510055930727312,"endHours":10.510055930727312,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.510055930727312,"endHours":11.510055930727312,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.510055930727312,"endHours":12.510055930727312,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.510055930727312,"endHours":13.510055930727312,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.510055930727312,"endHours":14.510055930727312,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.510055930727312,"endHours":15.510055930727312,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.510055930727312,"endHours":16.51005593072731,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.51005593072731,"endHours":17.51005593072731,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.51005593072731,"endHours":18.51005593072731,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.51005593072731,"endHours":19.51005593072731,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.51005593072731,"endHours":20.51005593072731,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.51005593072731,"endHours":21.51005593072731,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.51005593072731,"endHours":22.51005593072731,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.51005593072731,"endHours":23.51005593072731,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.51005593072731,"endHours":24.51005593072731,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.51005593072731,"endHours":25.51005593072731,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.51005593072731,"endHours":26.51005593072731,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.51005593072731,"endHours":27.51005593072731,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.51005593072731,"endHours":28.51005593072731,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.51005593072731,"endHours":29.51005593072731,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.51005593072731,"endHours":30.51005593072731,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.9884165753155125,"eotMinutes":-10.217919928808794,"ayanamsa":19.1481}},"calendars":{"vikram_samvat":1720,"vikram_samvatsara":"Nala","saka_samvat":1585,"saka_samvatsara":"Śobhana","bengali_samvat":1070,"malayalam_era":839,"nanakshahi_year":194,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","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 Śukla Caturthī · Vikram 1720 Nala · Śaka 1585 Śobhana"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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":"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":"haridwar"},"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, 1663 CE · Haridwār · Vidhyamitra","description":"March 13, 1663 CE for Haridwār: Śukla Caturthī, sūryodaya 06:31, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/1663-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/1663-03-13","sa":"https://sa.vidhyamitra.com/city/haridwar/1663-03-13","hi":"https://hi.vidhyamitra.com/city/haridwar/1663-03-13","x-default":"https://vidhyamitra.com/city/haridwar/1663-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T08:01:44.213Z","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":"2026-06-05T08:01:44.213Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T08:01:44.213Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}