{"id":"vidhyamitra:city-day:vrindavan:2021-03-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2021-03-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-03-04","date_display":"March 4, 2021 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":2021,"month":3,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459277.770833,"kali_year":5122,"ahargana":1870812.2708,"sun":{"sidereal_longitude":319.6454,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":200.5015,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.8562,"elapsed_within_tithi_degrees":0.8562},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.5015,"elapsed_within_degrees":0.5015},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.1469},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2021,"month":3,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459277.770833,"ahargana":1870812.2708,"kali_year":5122,"ayanamsa_lahiri":24.1487,"grahas":{"sun":{"sidereal_longitude":319.53316199999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":202.92146200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":2.5704},"mars":{"sidereal_longitude":35.545762000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":292.119462,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":293.143862,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":313.70656199999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":284.650662,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":55.3629,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.3629,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":2021,"month":3,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459277.770833,"kali_year":5122,"ahargana":1870812.2708,"sun":{"sidereal_longitude":319.6454,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":200.5015,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.8562,"elapsed_within_tithi_degrees":0.8562},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.5015,"elapsed_within_degrees":0.5015},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.1469},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.57,"elongation":119.144},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.57,"opposition_distance":60.856}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:41","sunsetLocal":"18:22","solarNoonLocal":"12:32","dayLengthHours":11.677521239781491,"dayLengthDisplay":"11 Hours 40 Mins 39 Secs","nightLengthDisplay":"12 Hours 19 Mins 21 Secs","moonriseLocal":"23:19","moonsetLocal":"10:12","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:27","startHours":13.98984548842693,"endHours":15.449535643399617,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:41","end":"08:09","startHours":6.691394713563498,"endHours":8.151084868536184,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:37","end":"11:04","startHours":9.610775023508872,"endHours":11.070465178481557,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:48","startHours":9.416149669512512,"endHours":9.80540037750523,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:11","end":"07:29","startHours":7.177958098554393,"endHours":7.489358664948567,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:55","startHours":12.140904625461527,"endHours":12.919406041446958,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:08","end":"05:55","startHours":5.134391881592633,"endHours":5.912893297578065,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:43","end":"06:41","startHours":5.718267943581707,"endHours":6.691394713563498,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:15","startHours":14.476408873417824,"endHours":15.254910289403258,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.16891595334499,"endHours":18.568915953344987,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:51","startHours":18.368915953344988,"endHours":18.855479338335883,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.118915953344988,"endHours":19.868915953344988,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:55","startHours":24.140904625461527,"endHours":24.91940604144696,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:41","end":"08:09","startHours":6.691394713563498,"endHours":8.151084868536184,"quality":"auspicious"},{"name":"Roga","start":"08:09","end":"09:37","startHours":8.151084868536184,"endHours":9.610775023508872,"quality":"inauspicious"},{"name":"Udveg","start":"09:37","end":"11:04","startHours":9.610775023508872,"endHours":11.070465178481557,"quality":"inauspicious"},{"name":"Chala","start":"11:04","end":"12:32","startHours":11.070465178481557,"endHours":12.530155333454243,"quality":"neutral"},{"name":"Labha","start":"12:32","end":"13:59","startHours":12.530155333454243,"endHours":13.98984548842693,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:27","startHours":13.98984548842693,"endHours":15.449535643399617,"quality":"auspicious"},{"name":"Kāla","start":"15:27","end":"16:55","startHours":15.449535643399617,"endHours":16.9092257983723,"quality":"inauspicious"},{"name":"Śubha","start":"16:55","end":"18:22","startHours":16.9092257983723,"endHours":18.368915953344988,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:22","end":"19:55","startHours":18.368915953344988,"endHours":19.9092257983723,"quality":"auspicious"},{"name":"Kāla","start":"19:55","end":"21:27","startHours":19.9092257983723,"endHours":21.449535643399614,"quality":"inauspicious"},{"name":"Śubha","start":"21:27","end":"22:59","startHours":21.449535643399614,"endHours":22.98984548842693,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:32","startHours":22.98984548842693,"endHours":24.530155333454243,"quality":"inauspicious"},{"name":"Udveg","start":"00:32","end":"02:04","startHours":24.530155333454243,"endHours":26.070465178481555,"quality":"inauspicious"},{"name":"Chala","start":"02:04","end":"03:37","startHours":26.070465178481555,"endHours":27.61077502350887,"quality":"neutral"},{"name":"Labha","start":"03:37","end":"05:09","startHours":27.61077502350887,"endHours":29.151084868536184,"quality":"auspicious"},{"name":"Amṛta","start":"05:09","end":"06:41","startHours":29.151084868536184,"endHours":30.691394713563497,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:41","end":"07:41","startHours":6.691394713563498,"endHours":7.691394713563498,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:41","end":"08:41","startHours":7.691394713563498,"endHours":8.691394713563497,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:41","end":"09:41","startHours":8.691394713563497,"endHours":9.691394713563497,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:41","end":"10:41","startHours":9.691394713563497,"endHours":10.691394713563497,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:41","end":"11:41","startHours":10.691394713563497,"endHours":11.691394713563497,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:41","end":"12:41","startHours":11.691394713563497,"endHours":12.691394713563497,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:41","end":"13:41","startHours":12.691394713563497,"endHours":13.691394713563497,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:41","end":"14:41","startHours":13.691394713563497,"endHours":14.691394713563497,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:41","end":"15:41","startHours":14.691394713563497,"endHours":15.691394713563497,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:41","end":"16:41","startHours":15.691394713563497,"endHours":16.691394713563497,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:41","end":"17:41","startHours":16.691394713563497,"endHours":17.691394713563497,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:41","end":"18:41","startHours":17.691394713563497,"endHours":18.691394713563497,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:41","end":"19:41","startHours":18.691394713563497,"endHours":19.691394713563497,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:41","end":"20:41","startHours":19.691394713563497,"endHours":20.691394713563497,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:41","end":"21:41","startHours":20.691394713563497,"endHours":21.691394713563497,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:41","end":"22:41","startHours":21.691394713563497,"endHours":22.691394713563497,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:41","end":"23:41","startHours":22.691394713563497,"endHours":23.691394713563497,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:41","end":"00:41","startHours":23.691394713563497,"endHours":24.691394713563497,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:41","end":"01:41","startHours":24.691394713563497,"endHours":25.691394713563497,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:41","end":"02:41","startHours":25.691394713563497,"endHours":26.691394713563497,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:41","end":"03:41","startHours":26.691394713563497,"endHours":27.691394713563497,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:41","end":"04:41","startHours":27.691394713563497,"endHours":28.691394713563497,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:41","end":"05:41","startHours":28.691394713563497,"endHours":29.691394713563497,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:41","end":"06:41","startHours":29.691394713563497,"endHours":30.691394713563497,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-6.416268883605809,"eotMinutes":-12.446520007254474,"ayanamsa":24.1487}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Ṣaṣṭhī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 4, 2021 CE · Vṛndāvana · Vidhyamitra","description":"March 4, 2021 CE for Vṛndāvana: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:41, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2021-03-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2021-03-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2021-03-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2021-03-04","x-default":"https://vidhyamitra.com/city/vrindavan/2021-03-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:31:42.972Z","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":"2026-05-14T21:31:42.973Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:31:42.973Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}