{"id":"vidhyamitra:city-day:vrindavan:2121-11-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2121-11-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-11-04","date_display":"November 4, 2121 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":2121,"month":11,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496046.770833,"kali_year":5223,"ahargana":1907581.2708,"sun":{"sidereal_longitude":195.0732,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":123.9823,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.909,"elapsed_within_tithi_degrees":0.909},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":123.9823,"elapsed_within_degrees":3.9823},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.0555},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2121,"month":11,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496046.770833,"ahargana":1907581.2708,"kali_year":5223,"ayanamsa_lahiri":25.555,"grahas":{"sun":{"sidereal_longitude":196.04571599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":126.75161600000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-2.695},"mars":{"sidereal_longitude":221.979916,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":195.194616,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":121.443716,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":186.002516,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":81.47441600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":267.1643,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":87.1643,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":11,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496046.770833,"kali_year":5223,"ahargana":1907581.2708,"sun":{"sidereal_longitude":195.0732,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":123.9823,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.909,"elapsed_within_tithi_degrees":0.909},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":123.9823,"elapsed_within_degrees":3.9823},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.0555},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.695,"elongation":71.091},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.695,"opposition_distance":108.909}},"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":"06:32","sunsetLocal":"17:34","solarNoonLocal":"12:03","dayLengthHours":11.035509836003534,"dayLengthDisplay":"11 Hours 02 Mins 08 Secs","nightLengthDisplay":"12 Hours 57 Mins 52 Secs","moonriseLocal":"01:01","moonsetLocal":"13:51","rahuKala":{"name":"Rāhu Kāla","start":"14:49","end":"16:11","startHours":14.809438407544103,"endHours":16.188877137044546,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:18","end":"10:40","startHours":9.291683489542336,"endHours":10.671122219042779,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:03","end":"13:26","startHours":12.050560948543222,"endHours":13.429999678043663,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:29","startHours":9.107758325608945,"endHours":9.47560865347573,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.992618940374935,"endHours":7.286899202668362,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.682710620676437,"endHours":12.418411276410007,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:48","startHours":5.061404719074316,"endHours":5.7971053748078845,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:32","startHours":5.613180210874493,"endHours":6.532806030541454,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:38","startHours":13.889812587877142,"endHours":14.62551324361071,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36831586654499,"endHours":17.768315866544988,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:02","startHours":17.56831586654499,"endHours":18.02812877637847,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31831586654499,"endHours":19.06831586654499,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.68271062067644,"endHours":24.418411276410005,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:32","end":"07:55","startHours":6.532806030541454,"endHours":7.9122447600418955,"quality":"inauspicious"},{"name":"Udveg","start":"07:55","end":"09:18","startHours":7.9122447600418955,"endHours":9.291683489542336,"quality":"inauspicious"},{"name":"Chala","start":"09:18","end":"10:40","startHours":9.291683489542336,"endHours":10.671122219042779,"quality":"neutral"},{"name":"Labha","start":"10:40","end":"12:03","startHours":10.671122219042779,"endHours":12.050560948543222,"quality":"auspicious"},{"name":"Amṛta","start":"12:03","end":"13:26","startHours":12.050560948543222,"endHours":13.429999678043663,"quality":"auspicious"},{"name":"Kāla","start":"13:26","end":"14:49","startHours":13.429999678043663,"endHours":14.809438407544103,"quality":"inauspicious"},{"name":"Śubha","start":"14:49","end":"16:11","startHours":14.809438407544103,"endHours":16.188877137044546,"quality":"auspicious"},{"name":"Roga","start":"16:11","end":"17:34","startHours":16.188877137044546,"endHours":17.56831586654499,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:34","end":"19:11","startHours":17.56831586654499,"endHours":19.188877137044546,"quality":"inauspicious"},{"name":"Śubha","start":"19:11","end":"20:49","startHours":19.188877137044546,"endHours":20.809438407544107,"quality":"auspicious"},{"name":"Roga","start":"20:49","end":"22:26","startHours":20.809438407544107,"endHours":22.429999678043664,"quality":"inauspicious"},{"name":"Udveg","start":"22:26","end":"00:03","startHours":22.429999678043664,"endHours":24.05056094854322,"quality":"inauspicious"},{"name":"Chala","start":"00:03","end":"01:40","startHours":24.05056094854322,"endHours":25.67112221904278,"quality":"neutral"},{"name":"Labha","start":"01:40","end":"03:18","startHours":25.67112221904278,"endHours":27.291683489542336,"quality":"auspicious"},{"name":"Amṛta","start":"03:18","end":"04:55","startHours":27.291683489542336,"endHours":28.912244760041897,"quality":"auspicious"},{"name":"Kāla","start":"04:55","end":"06:32","startHours":28.912244760041897,"endHours":30.532806030541455,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.532806030541454,"endHours":7.532806030541454,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.532806030541454,"endHours":8.532806030541455,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.532806030541455,"endHours":9.532806030541455,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.532806030541455,"endHours":10.532806030541455,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.532806030541455,"endHours":11.532806030541455,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.532806030541455,"endHours":12.532806030541455,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.532806030541455,"endHours":13.532806030541455,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.532806030541455,"endHours":14.532806030541455,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.532806030541455,"endHours":15.532806030541455,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.532806030541455,"endHours":16.532806030541455,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.532806030541455,"endHours":17.532806030541455,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.532806030541455,"endHours":18.532806030541455,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.532806030541455,"endHours":19.532806030541455,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.532806030541455,"endHours":20.532806030541455,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.532806030541455,"endHours":21.532806030541455,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.532806030541455,"endHours":22.532806030541455,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.532806030541455,"endHours":23.532806030541455,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.532806030541455,"endHours":24.532806030541455,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.532806030541455,"endHours":25.532806030541455,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.532806030541455,"endHours":26.532806030541455,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.532806030541455,"endHours":27.532806030541455,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.532806030541455,"endHours":28.532806030541455,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.532806030541455,"endHours":29.532806030541455,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.532806030541455,"endHours":30.532806030541455,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-15.311623537991125,"eotMinutes":16.329143087406717,"ayanamsa":25.555}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Daśamī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[],"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga November 4, 2121 CE · Vṛndāvana · Vidhyamitra","description":"November 4, 2121 CE for Vṛndāvana: Kṛṣṇa Daśamī, sūryodaya 06:32, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2121-11-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2121-11-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2121-11-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2121-11-04","x-default":"https://vidhyamitra.com/city/vrindavan/2121-11-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:16:25.054Z","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":"2026-06-01T03:16:25.054Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:16:25.054Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}