{"id":"vidhyamitra:city-day:vrindavan:2131-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2131-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2131-09-20","date_display":"September 20, 2131 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":2131,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499653.770833,"kali_year":5233,"ahargana":1911188.2708,"sun":{"sidereal_longitude":149.9671,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":134.5504,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.5833,"elapsed_within_tithi_degrees":8.5833},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.5504,"elapsed_within_degrees":1.2171},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.5175},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2131,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499653.770833,"ahargana":1911188.2708,"kali_year":5233,"ayanamsa_lahiri":25.693,"grahas":{"sun":{"sidereal_longitude":151.01890200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":134.71770200000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":3.8359},"mars":{"sidereal_longitude":19.450602000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":163.609102,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":62.129801999999984,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":167.447002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":195.69810200000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":76.0481,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":256.0481,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2131,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499653.770833,"kali_year":5233,"ahargana":1911188.2708,"sun":{"sidereal_longitude":149.9671,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":134.5504,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.5833,"elapsed_within_tithi_degrees":8.5833},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.5504,"elapsed_within_degrees":1.2171},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.5175},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.836,"elongation":15.417},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.836,"opposition_distance":164.583}},"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":"06:06","sunsetLocal":"18:19","solarNoonLocal":"12:12","dayLengthHours":12.216342894508205,"dayLengthDisplay":"12 Hours 12 Mins 59 Secs","nightLengthDisplay":"11 Hours 47 Mins 01 Secs","moonriseLocal":"04:48","moonsetLocal":"17:26","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:15","startHours":13.72730761578762,"endHours":15.254350477601147,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:06","end":"07:37","startHours":6.092093306719991,"endHours":7.619136168533517,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:09","end":"10:40","startHours":9.146179030347042,"endHours":10.67322189216057,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.942573315438572,"endHours":9.349784745255512,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:56","startHours":6.601107593991166,"endHours":6.926876737844719,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:36","startHours":11.793053324157155,"endHours":12.607476183791034,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:28","end":"05:17","startHours":4.46324758745223,"endHours":5.277670447086111,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:06","startHours":5.07406473217764,"endHours":6.092093306719991,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:03","startHours":14.236321903058794,"endHours":15.050744762692675,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.108436201228198,"endHours":18.508436201228196,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:49","startHours":18.308436201228197,"endHours":18.81745048849937,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.058436201228197,"endHours":19.808436201228197,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:36","startHours":23.793053324157157,"endHours":24.607476183791036,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:06","end":"07:37","startHours":6.092093306719991,"endHours":7.619136168533517,"quality":"auspicious"},{"name":"Roga","start":"07:37","end":"09:09","startHours":7.619136168533517,"endHours":9.146179030347042,"quality":"inauspicious"},{"name":"Udveg","start":"09:09","end":"10:40","startHours":9.146179030347042,"endHours":10.67322189216057,"quality":"inauspicious"},{"name":"Chala","start":"10:40","end":"12:12","startHours":10.67322189216057,"endHours":12.200264753974093,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"13:44","startHours":12.200264753974093,"endHours":13.72730761578762,"quality":"auspicious"},{"name":"Amṛta","start":"13:44","end":"15:15","startHours":13.72730761578762,"endHours":15.254350477601147,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:47","startHours":15.254350477601147,"endHours":16.78139333941467,"quality":"inauspicious"},{"name":"Śubha","start":"16:47","end":"18:19","startHours":16.78139333941467,"endHours":18.308436201228197,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:19","end":"19:47","startHours":18.308436201228197,"endHours":19.78139333941467,"quality":"auspicious"},{"name":"Kāla","start":"19:47","end":"21:15","startHours":19.78139333941467,"endHours":21.254350477601147,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:44","startHours":21.254350477601147,"endHours":22.72730761578762,"quality":"auspicious"},{"name":"Roga","start":"22:44","end":"00:12","startHours":22.72730761578762,"endHours":24.200264753974096,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:40","startHours":24.200264753974096,"endHours":25.67322189216057,"quality":"inauspicious"},{"name":"Chala","start":"01:40","end":"03:09","startHours":25.67322189216057,"endHours":27.146179030347042,"quality":"neutral"},{"name":"Labha","start":"03:09","end":"04:37","startHours":27.146179030347042,"endHours":28.619136168533515,"quality":"auspicious"},{"name":"Amṛta","start":"04:37","end":"06:06","startHours":28.619136168533515,"endHours":30.092093306719992,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.092093306719991,"endHours":7.092093306719991,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.092093306719991,"endHours":8.092093306719992,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.092093306719992,"endHours":9.092093306719992,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.092093306719992,"endHours":10.092093306719992,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.092093306719992,"endHours":11.092093306719992,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.092093306719992,"endHours":12.092093306719992,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.092093306719992,"endHours":13.092093306719992,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.092093306719992,"endHours":14.092093306719992,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.092093306719992,"endHours":15.092093306719992,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.092093306719992,"endHours":16.092093306719992,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.092093306719992,"endHours":17.092093306719992,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.092093306719992,"endHours":18.092093306719992,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.092093306719992,"endHours":19.092093306719992,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.092093306719992,"endHours":20.092093306719992,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.092093306719992,"endHours":21.092093306719992,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.092093306719992,"endHours":22.092093306719992,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.092093306719992,"endHours":23.092093306719992,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.092093306719992,"endHours":24.092093306719992,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.092093306719992,"endHours":25.092093306719992,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.092093306719992,"endHours":26.092093306719992,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.092093306719992,"endHours":27.092093306719992,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.092093306719992,"endHours":28.092093306719992,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.092093306719992,"endHours":29.092093306719992,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.092093306719992,"endHours":30.092093306719992,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.307178982332229,"eotMinutes":7.346914761554353,"ayanamsa":25.693}},"calendars":{"vikram_samvat":2188,"vikram_samvatsara":"Krodhi","saka_samvat":2053,"saka_samvatsara":"Khara","bengali_samvat":1538,"malayalam_era":1307,"nanakshahi_year":662,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 2188 Krodhi · Śaka 2053 Khara"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi_ingress":"Kanyā"},"precedence":4},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 20, 2131 CE · Vṛndāvana · Vidhyamitra","description":"September 20, 2131 CE for Vṛndāvana: Kṛṣṇa Caturdaśī, sūryodaya 06:06, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2131-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2131-09-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2131-09-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2131-09-20","x-default":"https://vidhyamitra.com/city/vrindavan/2131-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T23:48:34.103Z","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":"2026-06-02T23:48:34.103Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T23:48:34.103Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}