{"id":"vidhyamitra:city-day:mathura:1981-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-09-20","date_display":"September 20, 1981 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":1981,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444867.770833,"kali_year":5083,"ahargana":1856402.2708,"sun":{"sidereal_longitude":152.7095,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":50.2587,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.5492,"elapsed_within_tithi_degrees":5.5492},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.2587,"elapsed_within_degrees":10.2587},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.9681},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1981,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444867.770833,"ahargana":1856402.2708,"kali_year":5083,"ayanamsa_lahiri":23.5976,"grahas":{"sun":{"sidereal_longitude":153.40132999999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":53.11392999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-3.3748},"mars":{"sidereal_longitude":107.93743,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":179.62263000000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":172.30123000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":194.93502999999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":166.96113000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":98.8741,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":278.8741,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"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":1981,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444867.770833,"kali_year":5083,"ahargana":1856402.2708,"sun":{"sidereal_longitude":152.7095,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":50.2587,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.5492,"elapsed_within_tithi_degrees":5.5492},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.2587,"elapsed_within_degrees":10.2587},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.9681},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.375,"elongation":102.451},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.375,"opposition_distance":77.549}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:06","sunsetLocal":"18:18","solarNoonLocal":"12:12","dayLengthHours":12.208055734473035,"dayLengthDisplay":"12 Hours 12 Mins 29 Secs","nightLengthDisplay":"11 Hours 47 Mins 31 Secs","moonriseLocal":"22:37","moonsetLocal":"12:24","rahuKala":{"name":"Rāhu Kāla","start":"16:47","end":"18:18","startHours":16.77732565440148,"endHours":18.30333262121061,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:44","startHours":12.199304753974094,"endHours":13.725311720783221,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:15","end":"16:47","startHours":15.251318687592352,"endHours":16.77732565440148,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.943823224781283,"endHours":9.350758415930384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:56","startHours":6.6039458756739515,"endHours":6.929494028593233,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:36","startHours":11.792369562824993,"endHours":12.606239945123194,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:28","end":"05:17","startHours":4.467536122141171,"endHours":5.2814065044393725,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:06","startHours":5.077938908864822,"endHours":6.095276886737575,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:03","startHours":14.2339807097196,"endHours":15.047851092017801,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.103332621210612,"endHours":18.50333262121061,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:49","startHours":18.30333262121061,"endHours":18.812001610146986,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.05333262121061,"endHours":19.80333262121061,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:36","startHours":23.79236956282499,"endHours":24.606239945123196,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:06","end":"07:37","startHours":6.095276886737575,"endHours":7.6212838535467045,"quality":"inauspicious"},{"name":"Chala","start":"07:37","end":"09:09","startHours":7.6212838535467045,"endHours":9.147290820355835,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:40","startHours":9.147290820355835,"endHours":10.673297787164962,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:12","startHours":10.673297787164962,"endHours":12.199304753974094,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:44","startHours":12.199304753974094,"endHours":13.725311720783221,"quality":"inauspicious"},{"name":"Śubha","start":"13:44","end":"15:15","startHours":13.725311720783221,"endHours":15.251318687592352,"quality":"auspicious"},{"name":"Roga","start":"15:15","end":"16:47","startHours":15.251318687592352,"endHours":16.77732565440148,"quality":"inauspicious"},{"name":"Udveg","start":"16:47","end":"18:18","startHours":16.77732565440148,"endHours":18.30333262121061,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:18","end":"19:47","startHours":18.30333262121061,"endHours":19.77732565440148,"quality":"auspicious"},{"name":"Roga","start":"19:47","end":"21:15","startHours":19.77732565440148,"endHours":21.251318687592352,"quality":"inauspicious"},{"name":"Udveg","start":"21:15","end":"22:44","startHours":21.251318687592352,"endHours":22.725311720783225,"quality":"inauspicious"},{"name":"Chala","start":"22:44","end":"00:12","startHours":22.725311720783225,"endHours":24.199304753974094,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:40","startHours":24.199304753974094,"endHours":25.673297787164962,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"03:09","startHours":25.673297787164962,"endHours":27.147290820355835,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:37","startHours":27.147290820355835,"endHours":28.621283853546707,"quality":"inauspicious"},{"name":"Śubha","start":"04:37","end":"06:06","startHours":28.621283853546707,"endHours":30.095276886737576,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.095276886737575,"endHours":7.095276886737575,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.095276886737575,"endHours":8.095276886737576,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.095276886737576,"endHours":9.095276886737576,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.095276886737576,"endHours":10.095276886737576,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.095276886737576,"endHours":11.095276886737576,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.095276886737576,"endHours":12.095276886737576,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.095276886737576,"endHours":13.095276886737576,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.095276886737576,"endHours":14.095276886737576,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.095276886737576,"endHours":15.095276886737576,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.095276886737576,"endHours":16.095276886737576,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.095276886737576,"endHours":17.095276886737576,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.095276886737576,"endHours":18.095276886737576,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.095276886737576,"endHours":19.095276886737576,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.095276886737576,"endHours":20.095276886737576,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.095276886737576,"endHours":21.095276886737576,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.095276886737576,"endHours":22.095276886737576,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.095276886737576,"endHours":23.095276886737576,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.095276886737576,"endHours":24.095276886737576,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.095276886737576,"endHours":25.095276886737576,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.095276886737576,"endHours":26.095276886737576,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.095276886737576,"endHours":27.095276886737576,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.095276886737576,"endHours":28.095276886737576,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.095276886737576,"endHours":29.095276886737576,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.095276886737576,"endHours":30.095276886737576,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":1.1931634825162696,"eotMinutes":7.346914761554353,"ayanamsa":23.5976}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"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":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"mathura"},"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, 1981 CE · Mathurā · Vidhyamitra","description":"September 20, 1981 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 06:06, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-09-20","sa":"https://sa.vidhyamitra.com/city/mathura/1981-09-20","hi":"https://hi.vidhyamitra.com/city/mathura/1981-09-20","x-default":"https://vidhyamitra.com/city/mathura/1981-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:21:02.082Z","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":"2026-05-14T20:21:02.082Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:21:02.082Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}