{"id":"vidhyamitra:city-day:mathura:1981-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-07-21","date_display":"July 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444806.770833,"kali_year":5083,"ahargana":1856341.2708,"sun":{"sidereal_longitude":94.1842,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":321.6464,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.4622,"elapsed_within_tithi_degrees":11.4622},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":321.6464,"elapsed_within_degrees":1.6464},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.8305},"karana":{"half_tithi_index":37,"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":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444806.770833,"ahargana":1856341.2708,"kali_year":5083,"ayanamsa_lahiri":23.5953,"grahas":{"sun":{"sidereal_longitude":94.60915999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":321.14645999999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-2.863},"mars":{"sidereal_longitude":68.45296000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":75.67686000000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":161.16046000000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":122.40266000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":160.82686,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":102.1061,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.1061,"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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444806.770833,"kali_year":5083,"ahargana":1856341.2708,"sun":{"sidereal_longitude":94.1842,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":321.6464,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.4622,"elapsed_within_tithi_degrees":11.4622},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":321.6464,"elapsed_within_degrees":1.6464},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.8305},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.863,"elongation":132.538},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.863,"opposition_distance":47.462}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128},{"offset_days":10,"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":"19:14","solarNoonLocal":"12:25","dayLengthHours":13.633966175262152,"dayLengthDisplay":"13 Hours 38 Mins 02 Secs","nightLengthDisplay":"10 Hours 21 Mins 58 Secs","moonriseLocal":"21:41","moonsetLocal":"09:22","rahuKala":{"name":"Rāhu Kāla","start":"15:50","end":"17:32","startHours":15.831074934403606,"endHours":17.535320706311374,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:01","end":"10:43","startHours":9.01409184677253,"endHours":10.718337618680298,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:08","startHours":12.422583390588066,"endHours":14.126829162495834,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.786859077184825,"endHours":9.241324616360231,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.173682226926247,"endHours":6.537254658266571,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.96811785141266,"endHours":12.877048929763472,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:42","startHours":3.7877381462553705,"endHours":4.696669224606181,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.469436455018478,"endHours":5.605600302956991,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.69491108646509,"endHours":15.6038421648159,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.039566478219143,"endHours":19.43956647821914,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:48","startHours":19.239566478219142,"endHours":19.8076484021884,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.989566478219142,"endHours":20.739566478219142,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96811785141266,"endHours":24.877048929763472,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:36","end":"07:19","startHours":5.605600302956991,"endHours":7.30984607486476,"quality":"inauspicious"},{"name":"Udveg","start":"07:19","end":"09:01","startHours":7.30984607486476,"endHours":9.01409184677253,"quality":"inauspicious"},{"name":"Chala","start":"09:01","end":"10:43","startHours":9.01409184677253,"endHours":10.718337618680298,"quality":"neutral"},{"name":"Labha","start":"10:43","end":"12:25","startHours":10.718337618680298,"endHours":12.422583390588066,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:08","startHours":12.422583390588066,"endHours":14.126829162495834,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:50","startHours":14.126829162495834,"endHours":15.831074934403606,"quality":"inauspicious"},{"name":"Śubha","start":"15:50","end":"17:32","startHours":15.831074934403606,"endHours":17.535320706311374,"quality":"auspicious"},{"name":"Roga","start":"17:32","end":"19:14","startHours":17.535320706311374,"endHours":19.239566478219142,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:14","end":"20:32","startHours":19.239566478219142,"endHours":20.535320706311374,"quality":"inauspicious"},{"name":"Śubha","start":"20:32","end":"21:50","startHours":20.535320706311374,"endHours":21.831074934403603,"quality":"auspicious"},{"name":"Roga","start":"21:50","end":"23:08","startHours":21.831074934403603,"endHours":23.126829162495834,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:25","startHours":23.126829162495834,"endHours":24.422583390588066,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:43","startHours":24.422583390588066,"endHours":25.718337618680298,"quality":"neutral"},{"name":"Labha","start":"01:43","end":"03:01","startHours":25.718337618680298,"endHours":27.01409184677253,"quality":"auspicious"},{"name":"Amṛta","start":"03:01","end":"04:19","startHours":27.01409184677253,"endHours":28.30984607486476,"quality":"auspicious"},{"name":"Kāla","start":"04:19","end":"05:36","startHours":28.30984607486476,"endHours":29.60560030295699,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.605600302956991,"endHours":6.605600302956991,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.605600302956991,"endHours":7.605600302956991,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.605600302956991,"endHours":8.60560030295699,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.60560030295699,"endHours":9.60560030295699,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.60560030295699,"endHours":10.60560030295699,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.60560030295699,"endHours":11.60560030295699,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.60560030295699,"endHours":12.60560030295699,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.60560030295699,"endHours":13.60560030295699,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.60560030295699,"endHours":14.60560030295699,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.60560030295699,"endHours":15.60560030295699,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.60560030295699,"endHours":16.60560030295699,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.60560030295699,"endHours":17.60560030295699,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.60560030295699,"endHours":18.60560030295699,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.60560030295699,"endHours":19.60560030295699,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.60560030295699,"endHours":20.60560030295699,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.60560030295699,"endHours":21.60560030295699,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.60560030295699,"endHours":22.60560030295699,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.60560030295699,"endHours":23.60560030295699,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.60560030295699,"endHours":24.60560030295699,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.60560030295699,"endHours":25.60560030295699,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.60560030295699,"endHours":26.60560030295699,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.60560030295699,"endHours":27.60560030295699,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.60560030295699,"endHours":28.60560030295699,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.60560030295699,"endHours":29.60560030295699,"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","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":20.518411811107253,"eotMinutes":-6.049803435283957,"ayanamsa":23.5953}},"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 Caturthī · 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},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 21, 1981 CE · Mathurā · Vidhyamitra","description":"July 21, 1981 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:36, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-07-21","sa":"https://sa.vidhyamitra.com/city/mathura/1981-07-21","hi":"https://hi.vidhyamitra.com/city/mathura/1981-07-21","x-default":"https://vidhyamitra.com/city/mathura/1981-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:33:46.667Z","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":"2026-05-14T17:33:46.667Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:33:46.667Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}