{"id":"vidhyamitra:city-day:mathura:1981-06-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-06-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-06-29","date_display":"June 29, 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":6,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444784.770833,"kali_year":5083,"ahargana":1856319.2708,"sun":{"sidereal_longitude":73.3519,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":37.4547,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.1028,"elapsed_within_tithi_degrees":0.1028},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.4547,"elapsed_within_degrees":10.7881},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.8066},"karana":{"half_tithi_index":54,"name":"Gara"},"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":6,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444784.770833,"ahargana":1856319.2708,"kali_year":5083,"ayanamsa_lahiri":23.5944,"grahas":{"sun":{"sidereal_longitude":73.62910099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":35.44980099999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-4.1044},"mars":{"sidereal_longitude":53.41220099999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":63.600100999999995,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":158.592801,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":95.71190100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":159.61270100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":103.2718,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":283.2718,"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":6,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444784.770833,"kali_year":5083,"ahargana":1856319.2708,"sun":{"sidereal_longitude":73.3519,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":37.4547,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.1028,"elapsed_within_tithi_degrees":0.1028},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.4547,"elapsed_within_degrees":10.7881},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.8066},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.104,"elongation":35.897},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.104,"opposition_distance":144.103}},"eclipse_window_40days":[{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128}]},"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":"05:27","sunsetLocal":"19:18","solarNoonLocal":"12:22","dayLengthHours":13.861802449037414,"dayLengthDisplay":"13 Hours 51 Mins 42 Secs","nightLengthDisplay":"10 Hours 08 Mins 18 Secs","moonriseLocal":"03:03","moonsetLocal":"16:36","rahuKala":{"name":"Rāhu Kāla","start":"07:11","end":"08:54","startHours":7.175034894427855,"endHours":8.907760200557531,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:22","startHours":10.64048550668721,"endHours":12.373210812816886,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:06","end":"15:50","startHours":14.105936118946563,"endHours":15.83866142507624,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.676730159740242,"endHours":9.13879024137482,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:23","startHours":6.019884690341404,"endHours":6.389532755649068,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:50","startHours":11.911150731182305,"endHours":12.835270894451467,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:31","startHours":3.594069261759856,"endHours":4.518189425029017,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:27","startHours":4.287159384211726,"endHours":5.442309588298178,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.683511220989788,"endHours":15.607631384258948,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.104112037335593,"endHours":19.50411203733559,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.304112037335592,"endHours":19.88168713937882,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.054112037335592,"endHours":20.804112037335592,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:50","startHours":23.911150731182307,"endHours":24.835270894451465,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:27","end":"07:11","startHours":5.442309588298178,"endHours":7.175034894427855,"quality":"auspicious"},{"name":"Kāla","start":"07:11","end":"08:54","startHours":7.175034894427855,"endHours":8.907760200557531,"quality":"inauspicious"},{"name":"Śubha","start":"08:54","end":"10:38","startHours":8.907760200557531,"endHours":10.64048550668721,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:22","startHours":10.64048550668721,"endHours":12.373210812816886,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"14:06","startHours":12.373210812816886,"endHours":14.105936118946563,"quality":"inauspicious"},{"name":"Chala","start":"14:06","end":"15:50","startHours":14.105936118946563,"endHours":15.83866142507624,"quality":"neutral"},{"name":"Labha","start":"15:50","end":"17:34","startHours":15.83866142507624,"endHours":17.571386731205916,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:18","startHours":17.571386731205916,"endHours":19.304112037335592,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:18","end":"20:34","startHours":19.304112037335592,"endHours":20.571386731205916,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:50","startHours":20.571386731205916,"endHours":21.83866142507624,"quality":"auspicious"},{"name":"Amṛta","start":"21:50","end":"23:06","startHours":21.83866142507624,"endHours":23.105936118946563,"quality":"auspicious"},{"name":"Kāla","start":"23:06","end":"00:22","startHours":23.105936118946563,"endHours":24.373210812816886,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"01:38","startHours":24.373210812816886,"endHours":25.64048550668721,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"02:54","startHours":25.64048550668721,"endHours":26.907760200557533,"quality":"inauspicious"},{"name":"Udveg","start":"02:54","end":"04:11","startHours":26.907760200557533,"endHours":28.175034894427853,"quality":"inauspicious"},{"name":"Chala","start":"04:11","end":"05:27","startHours":28.175034894427853,"endHours":29.44230958829818,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.442309588298178,"endHours":6.442309588298178,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.442309588298178,"endHours":7.442309588298178,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.442309588298178,"endHours":8.442309588298178,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.442309588298178,"endHours":9.442309588298178,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.442309588298178,"endHours":10.442309588298178,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.442309588298178,"endHours":11.442309588298178,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.442309588298178,"endHours":12.442309588298178,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.442309588298178,"endHours":13.442309588298178,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.442309588298178,"endHours":14.442309588298178,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.442309588298178,"endHours":15.442309588298178,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.442309588298178,"endHours":16.44230958829818,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.44230958829818,"endHours":17.44230958829818,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.44230958829818,"endHours":18.44230958829818,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.44230958829818,"endHours":19.44230958829818,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.44230958829818,"endHours":20.44230958829818,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.44230958829818,"endHours":21.44230958829818,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.44230958829818,"endHours":22.44230958829818,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.44230958829818,"endHours":23.44230958829818,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.44230958829818,"endHours":24.44230958829818,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.44230958829818,"endHours":25.44230958829818,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.44230958829818,"endHours":26.44230958829818,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.44230958829818,"endHours":27.44230958829818,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.44230958829818,"endHours":28.44230958829818,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.44230958829818,"endHours":29.44230958829818,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.239516814198392,"eotMinutes":-3.0874487690131183,"ayanamsa":23.5944}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"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 June 29, 1981 CE · Mathurā · Vidhyamitra","description":"June 29, 1981 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:27, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-06-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-06-29","sa":"https://sa.vidhyamitra.com/city/mathura/1981-06-29","hi":"https://hi.vidhyamitra.com/city/mathura/1981-06-29","x-default":"https://vidhyamitra.com/city/mathura/1981-06-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:58:45.974Z","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":"2026-05-14T11:58:45.974Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:58:45.974Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}