{"id":"vidhyamitra:city-day:mathura:1981-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-10-20","date_display":"October 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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444897.770833,"kali_year":5083,"ahargana":1856432.2708,"sun":{"sidereal_longitude":182.2881,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":87.9339,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.6458,"elapsed_within_tithi_degrees":1.6458},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.9339,"elapsed_within_degrees":7.9339},"yoga":{"number":21,"name":"Siddha","sum_longitude":270.2219},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":1981,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444897.770833,"ahargana":1856432.2708,"kali_year":5083,"ayanamsa_lahiri":23.5988,"grahas":{"sun":{"sidereal_longitude":182.96698300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":91.55688299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-0.7304},"mars":{"sidereal_longitude":126.04298299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":179.873383,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":178.78968299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":229.032783,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":170.622483,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":97.2845,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.2845,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444897.770833,"kali_year":5083,"ahargana":1856432.2708,"sun":{"sidereal_longitude":182.2881,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":87.9339,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.6458,"elapsed_within_tithi_degrees":1.6458},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.9339,"elapsed_within_degrees":7.9339},"yoga":{"number":21,"name":"Siddha","sum_longitude":270.2219},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.73,"elongation":94.354},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.73,"opposition_distance":85.646}},"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":"06:21","sunsetLocal":"17:46","solarNoonLocal":"12:04","dayLengthHours":11.408023569063154,"dayLengthDisplay":"11 Hours 24 Mins 29 Secs","nightLengthDisplay":"12 Hours 35 Mins 31 Secs","moonriseLocal":"23:09","moonsetLocal":"12:47","rahuKala":{"name":"Rāhu Kāla","start":"14:55","end":"16:20","startHours":14.912144704861937,"endHours":16.33814765099483,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:38","startHours":9.20813292033036,"endHours":10.634135866463254,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:29","startHours":12.060138812596147,"endHours":13.486141758729042,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.017999194179307,"endHours":9.398266646481412,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.831461343442203,"endHours":7.135675305283887,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:26","startHours":11.679871360294042,"endHours":12.440406264898252,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:36","startHours":4.83505721885615,"endHours":5.595592123460361,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.405458397309308,"endHours":6.356127028064571,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:43","startHours":13.961476074106674,"endHours":14.722010978710884,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.564150597127725,"endHours":17.964150597127723,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:14","startHours":17.764150597127724,"endHours":18.239484912505354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.514150597127724,"endHours":19.264150597127724,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:26","startHours":23.67987136029404,"endHours":24.440406264898254,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:21","end":"07:47","startHours":6.356127028064571,"endHours":7.782129974197465,"quality":"inauspicious"},{"name":"Udveg","start":"07:47","end":"09:12","startHours":7.782129974197465,"endHours":9.20813292033036,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:38","startHours":9.20813292033036,"endHours":10.634135866463254,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:04","startHours":10.634135866463254,"endHours":12.060138812596147,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:29","startHours":12.060138812596147,"endHours":13.486141758729042,"quality":"auspicious"},{"name":"Kāla","start":"13:29","end":"14:55","startHours":13.486141758729042,"endHours":14.912144704861937,"quality":"inauspicious"},{"name":"Śubha","start":"14:55","end":"16:20","startHours":14.912144704861937,"endHours":16.33814765099483,"quality":"auspicious"},{"name":"Roga","start":"16:20","end":"17:46","startHours":16.33814765099483,"endHours":17.764150597127724,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:46","end":"19:20","startHours":17.764150597127724,"endHours":19.33814765099483,"quality":"inauspicious"},{"name":"Śubha","start":"19:20","end":"20:55","startHours":19.33814765099483,"endHours":20.912144704861937,"quality":"auspicious"},{"name":"Roga","start":"20:55","end":"22:29","startHours":20.912144704861937,"endHours":22.48614175872904,"quality":"inauspicious"},{"name":"Udveg","start":"22:29","end":"00:04","startHours":22.48614175872904,"endHours":24.060138812596147,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"01:38","startHours":24.060138812596147,"endHours":25.634135866463254,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:12","startHours":25.634135866463254,"endHours":27.208132920330357,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:47","startHours":27.208132920330357,"endHours":28.782129974197463,"quality":"auspicious"},{"name":"Kāla","start":"04:47","end":"06:21","startHours":28.782129974197463,"endHours":30.35612702806457,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.356127028064571,"endHours":7.356127028064571,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.356127028064571,"endHours":8.35612702806457,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.35612702806457,"endHours":9.35612702806457,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.35612702806457,"endHours":10.35612702806457,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.35612702806457,"endHours":11.35612702806457,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.35612702806457,"endHours":12.35612702806457,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.35612702806457,"endHours":13.35612702806457,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.35612702806457,"endHours":14.35612702806457,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.35612702806457,"endHours":15.35612702806457,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.35612702806457,"endHours":16.35612702806457,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.35612702806457,"endHours":17.35612702806457,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.35612702806457,"endHours":18.35612702806457,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.35612702806457,"endHours":19.35612702806457,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.35612702806457,"endHours":20.35612702806457,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.35612702806457,"endHours":21.35612702806457,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.35612702806457,"endHours":22.35612702806457,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.35612702806457,"endHours":23.35612702806457,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.35612702806457,"endHours":24.35612702806457,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.35612702806457,"endHours":25.35612702806457,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.35612702806457,"endHours":26.35612702806457,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.35612702806457,"endHours":27.35612702806457,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.35612702806457,"endHours":28.35612702806457,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.35612702806457,"endHours":29.35612702806457,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.35612702806457,"endHours":30.35612702806457,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-10.246061819820767,"eotMinutes":15.696871244231174,"ayanamsa":23.5988}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Aṣṭamī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 20, 1981 CE · Mathurā · Vidhyamitra","description":"October 20, 1981 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 06:21, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-10-20","sa":"https://sa.vidhyamitra.com/city/mathura/1981-10-20","hi":"https://hi.vidhyamitra.com/city/mathura/1981-10-20","x-default":"https://vidhyamitra.com/city/mathura/1981-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:50:13.064Z","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":"2026-05-14T18:50:13.064Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:50:13.064Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}