{"id":"vidhyamitra:city-day:vrindavan:2181-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2181-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-09-12","date_display":"September 12, 2181 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":2181,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517908.770833,"kali_year":5283,"ahargana":1929443.2708,"sun":{"sidereal_longitude":142.2572,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":178.7246,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.4675,"elapsed_within_tithi_degrees":0.4675},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.7246,"elapsed_within_degrees":5.3913},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.9818},"karana":{"half_tithi_index":6,"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":2181,"month":9,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517908.770833,"ahargana":1929443.2708,"kali_year":5283,"ayanamsa_lahiri":26.3912,"grahas":{"sun":{"sidereal_longitude":143.413226,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":179.781926,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-0.7873},"mars":{"sidereal_longitude":163.58372600000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":128.40222600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":128.290926,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":187.14622600000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":92.99692600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":188.8104,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":8.8104,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2181,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517908.770833,"kali_year":5283,"ahargana":1929443.2708,"sun":{"sidereal_longitude":142.2572,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":178.7246,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.4675,"elapsed_within_tithi_degrees":0.4675},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.7246,"elapsed_within_degrees":5.3913},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.9818},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.787,"elongation":36.467},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.787,"opposition_distance":143.533}},"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":"06:03","sunsetLocal":"18:27","solarNoonLocal":"12:15","dayLengthHours":12.407240911813915,"dayLengthDisplay":"12 Hours 24 Mins 26 Secs","nightLengthDisplay":"11 Hours 35 Mins 34 Secs","moonriseLocal":"08:59","moonsetLocal":"20:22","rahuKala":{"name":"Rāhu Kāla","start":"12:15","end":"13:48","startHours":12.249654740866909,"endHours":13.800559854843648,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:36","end":"09:09","startHours":7.59693939893669,"endHours":9.14784451291343,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:15","startHours":10.69874962689017,"endHours":12.249654740866909,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.941057164383198,"endHours":9.35463186144366,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:54","startHours":6.56300265628553,"endHours":6.893862413933901,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:40","startHours":11.836080043806446,"endHours":12.663229437927372,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:13","startHours":4.391735496718095,"endHours":5.218884890839023,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.012097542308791,"endHours":6.04603428495995,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:09","startHours":14.317528226169227,"endHours":15.144677620290155,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.253275196773867,"endHours":18.653275196773865,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:58","startHours":18.453275196773866,"endHours":18.970243568099445,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.203275196773866,"endHours":19.953275196773866,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:40","startHours":23.836080043806444,"endHours":24.663229437927374,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:03","end":"07:36","startHours":6.04603428495995,"endHours":7.59693939893669,"quality":"auspicious"},{"name":"Amṛta","start":"07:36","end":"09:09","startHours":7.59693939893669,"endHours":9.14784451291343,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:42","startHours":9.14784451291343,"endHours":10.69874962689017,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:15","startHours":10.69874962689017,"endHours":12.249654740866909,"quality":"auspicious"},{"name":"Roga","start":"12:15","end":"13:48","startHours":12.249654740866909,"endHours":13.800559854843648,"quality":"inauspicious"},{"name":"Udveg","start":"13:48","end":"15:21","startHours":13.800559854843648,"endHours":15.351464968820387,"quality":"inauspicious"},{"name":"Chala","start":"15:21","end":"16:54","startHours":15.351464968820387,"endHours":16.902370082797127,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:27","startHours":16.902370082797127,"endHours":18.453275196773866,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:27","end":"19:54","startHours":18.453275196773866,"endHours":19.902370082797127,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:21","startHours":19.902370082797127,"endHours":21.351464968820387,"quality":"neutral"},{"name":"Labha","start":"21:21","end":"22:48","startHours":21.351464968820387,"endHours":22.800559854843648,"quality":"auspicious"},{"name":"Amṛta","start":"22:48","end":"00:15","startHours":22.800559854843648,"endHours":24.24965474086691,"quality":"auspicious"},{"name":"Kāla","start":"00:15","end":"01:42","startHours":24.24965474086691,"endHours":25.69874962689017,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"03:09","startHours":25.69874962689017,"endHours":27.14784451291343,"quality":"auspicious"},{"name":"Roga","start":"03:09","end":"04:36","startHours":27.14784451291343,"endHours":28.59693939893669,"quality":"inauspicious"},{"name":"Udveg","start":"04:36","end":"06:03","startHours":28.59693939893669,"endHours":30.04603428495995,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.04603428495995,"endHours":7.04603428495995,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.04603428495995,"endHours":8.046034284959951,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.046034284959951,"endHours":9.046034284959951,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.046034284959951,"endHours":10.046034284959951,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.046034284959951,"endHours":11.046034284959951,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.046034284959951,"endHours":12.046034284959951,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.046034284959951,"endHours":13.046034284959951,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.046034284959951,"endHours":14.046034284959951,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.046034284959951,"endHours":15.046034284959951,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.046034284959951,"endHours":16.04603428495995,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.04603428495995,"endHours":17.04603428495995,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.04603428495995,"endHours":18.04603428495995,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.04603428495995,"endHours":19.04603428495995,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.04603428495995,"endHours":20.04603428495995,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.04603428495995,"endHours":21.04603428495995,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.04603428495995,"endHours":22.04603428495995,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.04603428495995,"endHours":23.04603428495995,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.04603428495995,"endHours":24.04603428495995,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.04603428495995,"endHours":25.04603428495995,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.04603428495995,"endHours":26.04603428495995,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.04603428495995,"endHours":27.04603428495995,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.04603428495995,"endHours":28.04603428495995,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.04603428495995,"endHours":29.04603428495995,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.04603428495995,"endHours":30.04603428495995,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.037083452859093,"eotMinutes":4.383515547985428,"ayanamsa":26.3912}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"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":"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 12, 2181 CE · Vṛndāvana · Vidhyamitra","description":"September 12, 2181 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 06:03, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2181-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2181-09-12","sa":"https://sa.vidhyamitra.com/city/vrindavan/2181-09-12","hi":"https://hi.vidhyamitra.com/city/vrindavan/2181-09-12","x-default":"https://vidhyamitra.com/city/vrindavan/2181-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:13:01.458Z","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":"2026-06-01T08:13:01.458Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:13:01.458Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}