{"id":"vidhyamitra:city-day:mathura:1981-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-07-20","date_display":"July 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":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444805.770833,"kali_year":5083,"ahargana":1856340.2708,"sun":{"sidereal_longitude":93.2361,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":308.0236,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.7875,"elapsed_within_tithi_degrees":10.7875},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.0236,"elapsed_within_degrees":1.3569},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.2597},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444805.770833,"ahargana":1856340.2708,"kali_year":5083,"ayanamsa_lahiri":23.5952,"grahas":{"sun":{"sidereal_longitude":93.65479800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":307.72209799999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-1.9615},"mars":{"sidereal_longitude":67.77849800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":74.272198,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":161.021798,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":121.19389799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":160.75699800000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":102.1591,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.1591,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444805.770833,"kali_year":5083,"ahargana":1856340.2708,"sun":{"sidereal_longitude":93.2361,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":308.0236,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.7875,"elapsed_within_tithi_degrees":10.7875},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.0236,"elapsed_within_degrees":1.3569},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.2597},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.961,"elongation":145.213},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.961,"opposition_distance":34.787}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128},{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207}]},"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":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.649433388079414,"dayLengthDisplay":"13 Hours 38 Mins 58 Secs","nightLengthDisplay":"10 Hours 21 Mins 02 Secs","moonriseLocal":"21:02","moonsetLocal":"08:21","rahuKala":{"name":"Rāhu Kāla","start":"07:18","end":"09:01","startHours":7.303119499722845,"endHours":9.009298673232772,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:43","end":"12:25","startHours":10.715477846742697,"endHours":12.421657020252624,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:50","startHours":14.127836193762551,"endHours":15.834015367272478,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.78180811676478,"endHours":9.236789229700761,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.165666717382893,"endHours":6.529651607731678,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.966675907316644,"endHours":12.876638133188605,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:41","startHours":3.7770158744689963,"endHours":4.686978100340957,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.459487543872967,"endHours":5.596940326212918,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.696562584932527,"endHours":15.606524810804489,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.046373714292333,"endHours":19.44637371429233,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.246373714292332,"endHours":19.815100105462307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.996373714292332,"endHours":20.746373714292332,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.966675907316645,"endHours":24.876638133188603,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:36","end":"07:18","startHours":5.596940326212918,"endHours":7.303119499722845,"quality":"auspicious"},{"name":"Kāla","start":"07:18","end":"09:01","startHours":7.303119499722845,"endHours":9.009298673232772,"quality":"inauspicious"},{"name":"Śubha","start":"09:01","end":"10:43","startHours":9.009298673232772,"endHours":10.715477846742697,"quality":"auspicious"},{"name":"Roga","start":"10:43","end":"12:25","startHours":10.715477846742697,"endHours":12.421657020252624,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.127836193762551,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:50","startHours":14.127836193762551,"endHours":15.834015367272478,"quality":"neutral"},{"name":"Labha","start":"15:50","end":"17:32","startHours":15.834015367272478,"endHours":17.540194540782405,"quality":"auspicious"},{"name":"Amṛta","start":"17:32","end":"19:15","startHours":17.540194540782405,"endHours":19.246373714292332,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:15","end":"20:32","startHours":19.246373714292332,"endHours":20.540194540782405,"quality":"neutral"},{"name":"Labha","start":"20:32","end":"21:50","startHours":20.540194540782405,"endHours":21.834015367272478,"quality":"auspicious"},{"name":"Amṛta","start":"21:50","end":"23:08","startHours":21.834015367272478,"endHours":23.12783619376255,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.12783619376255,"endHours":24.421657020252624,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:43","startHours":24.421657020252624,"endHours":25.715477846742697,"quality":"auspicious"},{"name":"Roga","start":"01:43","end":"03:01","startHours":25.715477846742697,"endHours":27.00929867323277,"quality":"inauspicious"},{"name":"Udveg","start":"03:01","end":"04:18","startHours":27.00929867323277,"endHours":28.303119499722847,"quality":"inauspicious"},{"name":"Chala","start":"04:18","end":"05:36","startHours":28.303119499722847,"endHours":29.596940326212916,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.596940326212918,"endHours":6.596940326212918,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.596940326212918,"endHours":7.596940326212918,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.596940326212918,"endHours":8.596940326212918,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.596940326212918,"endHours":9.596940326212918,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.596940326212918,"endHours":10.596940326212918,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.596940326212918,"endHours":11.596940326212918,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.596940326212918,"endHours":12.596940326212918,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.596940326212918,"endHours":13.596940326212918,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.596940326212918,"endHours":14.596940326212918,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.596940326212918,"endHours":15.596940326212918,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.596940326212918,"endHours":16.596940326212916,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.596940326212916,"endHours":17.596940326212916,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.596940326212916,"endHours":18.596940326212916,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.596940326212916,"endHours":19.596940326212916,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.596940326212916,"endHours":20.596940326212916,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.596940326212916,"endHours":21.596940326212916,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.596940326212916,"endHours":22.596940326212916,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.596940326212916,"endHours":23.596940326212916,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.596940326212916,"endHours":24.596940326212916,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.596940326212916,"endHours":25.596940326212916,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.596940326212916,"endHours":26.596940326212916,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.596940326212916,"endHours":27.596940326212916,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.596940326212916,"endHours":28.596940326212916,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.596940326212916,"endHours":29.596940326212916,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.70711361575719,"eotMinutes":-5.99422121515736,"ayanamsa":23.5952}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 July 20, 1981 CE · Mathurā · Vidhyamitra","description":"July 20, 1981 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/1981-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/1981-07-20","x-default":"https://vidhyamitra.com/city/mathura/1981-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:37:44.347Z","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":"2026-05-14T12:37:44.347Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:37:44.347Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}