{"id":"vidhyamitra:city-day:mathura:1981-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-10-16","date_display":"October 16, 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":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444893.770833,"kali_year":5083,"ahargana":1856428.2708,"sun":{"sidereal_longitude":178.3078,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":30.6326,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.3248,"elapsed_within_tithi_degrees":8.3248},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.6326,"elapsed_within_degrees":3.966},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.9404},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444893.770833,"ahargana":1856428.2708,"kali_year":5083,"ayanamsa_lahiri":23.5986,"grahas":{"sun":{"sidereal_longitude":178.99573599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":34.04283600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-4.1374},"mars":{"sidereal_longitude":123.688736,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":184.782736,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":177.917736,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":224.59903599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":170.136436,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":97.4965,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.4965,"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":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444893.770833,"kali_year":5083,"ahargana":1856428.2708,"sun":{"sidereal_longitude":178.3078,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":30.6326,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.3248,"elapsed_within_tithi_degrees":8.3248},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.6326,"elapsed_within_degrees":3.966},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.9404},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.137,"elongation":147.675},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.137,"opposition_distance":32.325}},"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":"06:19","sunsetLocal":"17:50","solarNoonLocal":"12:04","dayLengthHours":11.511631492921563,"dayLengthDisplay":"11 Hours 30 Mins 42 Secs","nightLengthDisplay":"12 Hours 29 Mins 18 Secs","moonriseLocal":"19:39","moonsetLocal":"09:10","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:04","startHours":10.632003903865119,"endHours":12.070957840480315,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:57","end":"16:23","startHours":14.948865713710706,"endHours":16.387819650325902,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:45","end":"09:12","startHours":7.754096030634729,"endHours":9.193049967249925,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.001189442367899,"endHours":9.38491049213195,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:06","startHours":6.794793406224599,"endHours":7.101770246035841,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.687236790716264,"endHours":12.454678890244368,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.780257894963325,"endHours":5.54769999449143,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:19","startHours":5.355839469609404,"endHours":6.315142094019534,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.989563089300574,"endHours":14.757005188828678,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.6267735869411,"endHours":18.026773586941097,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:18","startHours":17.826773586941098,"endHours":18.306424899146162,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.576773586941098,"endHours":19.326773586941098,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.687236790716266,"endHours":24.45467889024437,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:19","end":"07:45","startHours":6.315142094019534,"endHours":7.754096030634729,"quality":"neutral"},{"name":"Labha","start":"07:45","end":"09:12","startHours":7.754096030634729,"endHours":9.193049967249925,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:38","startHours":9.193049967249925,"endHours":10.632003903865119,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:04","startHours":10.632003903865119,"endHours":12.070957840480315,"quality":"inauspicious"},{"name":"Śubha","start":"12:04","end":"13:31","startHours":12.070957840480315,"endHours":13.50991177709551,"quality":"auspicious"},{"name":"Roga","start":"13:31","end":"14:57","startHours":13.50991177709551,"endHours":14.948865713710706,"quality":"inauspicious"},{"name":"Udveg","start":"14:57","end":"16:23","startHours":14.948865713710706,"endHours":16.387819650325902,"quality":"inauspicious"},{"name":"Chala","start":"16:23","end":"17:50","startHours":16.387819650325902,"endHours":17.826773586941098,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:50","end":"19:23","startHours":17.826773586941098,"endHours":19.387819650325902,"quality":"inauspicious"},{"name":"Udveg","start":"19:23","end":"20:57","startHours":19.387819650325902,"endHours":20.948865713710706,"quality":"inauspicious"},{"name":"Chala","start":"20:57","end":"22:31","startHours":20.948865713710706,"endHours":22.50991177709551,"quality":"neutral"},{"name":"Labha","start":"22:31","end":"00:04","startHours":22.50991177709551,"endHours":24.070957840480318,"quality":"auspicious"},{"name":"Amṛta","start":"00:04","end":"01:38","startHours":24.070957840480318,"endHours":25.63200390386512,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:12","startHours":25.63200390386512,"endHours":27.193049967249927,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:45","startHours":27.193049967249927,"endHours":28.75409603063473,"quality":"auspicious"},{"name":"Roga","start":"04:45","end":"06:19","startHours":28.75409603063473,"endHours":30.315142094019535,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.315142094019534,"endHours":7.315142094019534,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.315142094019534,"endHours":8.315142094019535,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.315142094019535,"endHours":9.315142094019535,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.315142094019535,"endHours":10.315142094019535,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.315142094019535,"endHours":11.315142094019535,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.315142094019535,"endHours":12.315142094019535,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.315142094019535,"endHours":13.315142094019535,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.315142094019535,"endHours":14.315142094019535,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.315142094019535,"endHours":15.315142094019535,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.315142094019535,"endHours":16.315142094019535,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.315142094019535,"endHours":17.315142094019535,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.315142094019535,"endHours":18.315142094019535,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.315142094019535,"endHours":19.315142094019535,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.315142094019535,"endHours":20.315142094019535,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.315142094019535,"endHours":21.315142094019535,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.315142094019535,"endHours":22.315142094019535,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.315142094019535,"endHours":23.315142094019535,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.315142094019535,"endHours":24.315142094019535,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.315142094019535,"endHours":25.315142094019535,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.315142094019535,"endHours":26.315142094019535,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.315142094019535,"endHours":27.315142094019535,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.315142094019535,"endHours":28.315142094019535,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.315142094019535,"endHours":29.315142094019535,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.315142094019535,"endHours":30.315142094019535,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.789830092687449,"eotMinutes":15.04772957118102,"ayanamsa":23.5986}},"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 Tṛtīyā · 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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 October 16, 1981 CE · Mathurā · Vidhyamitra","description":"October 16, 1981 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 06:19, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-10-16","sa":"https://sa.vidhyamitra.com/city/mathura/1981-10-16","hi":"https://hi.vidhyamitra.com/city/mathura/1981-10-16","x-default":"https://vidhyamitra.com/city/mathura/1981-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:24:06.089Z","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":"2026-05-14T12:24:06.089Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:24:06.089Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}