{"id":"vidhyamitra:city-day:mathura:1973-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1973-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1973-06-13","date_display":"June 13, 1973 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":1973,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441846.770833,"kali_year":5075,"ahargana":1853381.2708,"sun":{"sidereal_longitude":58.2618,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":206.3897,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.1278,"elapsed_within_tithi_degrees":4.1278},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":206.3897,"elapsed_within_degrees":6.3897},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.6515},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1973,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441846.770833,"ahargana":1853381.2708,"kali_year":5075,"ayanamsa_lahiri":23.4821,"grahas":{"sun":{"sidereal_longitude":58.409154,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":207.755354,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-3.5712},"mars":{"sidereal_longitude":331.67375400000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":81.518554,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":288.75065399999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"venus":{"sidereal_longitude":75.76475400000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":60.55535400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":258.9412,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":78.9412,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":1973,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441846.770833,"kali_year":5075,"ahargana":1853381.2708,"sun":{"sidereal_longitude":58.2618,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":206.3897,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.1278,"elapsed_within_tithi_degrees":4.1278},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":206.3897,"elapsed_within_degrees":6.3897},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.6515},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.571,"elongation":148.128},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.571,"opposition_distance":31.872}},"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":"05:23","sunsetLocal":"19:15","solarNoonLocal":"12:19","dayLengthHours":13.857422860135976,"dayLengthDisplay":"13 Hours 51 Mins 27 Secs","nightLengthDisplay":"10 Hours 08 Mins 33 Secs","moonriseLocal":"16:53","moonsetLocal":"03:40","rahuKala":{"name":"Rāhu Kāla","start":"12:19","end":"14:03","startHours":12.318167006689986,"endHours":14.050344864206984,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:51","startHours":7.121633434138996,"endHours":8.853811291655994,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:19","startHours":10.58598914917299,"endHours":12.318167006689986,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:05","startHours":8.62285424398706,"endHours":9.084768339324926,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.966848195794332,"endHours":6.336379472064625,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:47","startHours":11.85625291135212,"endHours":12.780081102027852,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5417991952705354,"endHours":4.465627385946267,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.2346703382773345,"endHours":5.389455576621999,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:33","startHours":14.627737483379317,"endHours":15.551565674055048,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.046878436757975,"endHours":19.446878436757974,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.246878436757974,"endHours":19.824271055930307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.996878436757974,"endHours":20.746878436757974,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:47","startHours":23.85625291135212,"endHours":24.780081102027854,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:23","end":"07:07","startHours":5.389455576621999,"endHours":7.121633434138996,"quality":"auspicious"},{"name":"Amṛta","start":"07:07","end":"08:51","startHours":7.121633434138996,"endHours":8.853811291655994,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:35","startHours":8.853811291655994,"endHours":10.58598914917299,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:19","startHours":10.58598914917299,"endHours":12.318167006689986,"quality":"auspicious"},{"name":"Roga","start":"12:19","end":"14:03","startHours":12.318167006689986,"endHours":14.050344864206984,"quality":"inauspicious"},{"name":"Udveg","start":"14:03","end":"15:47","startHours":14.050344864206984,"endHours":15.782522721723982,"quality":"inauspicious"},{"name":"Chala","start":"15:47","end":"17:31","startHours":15.782522721723982,"endHours":17.514700579240976,"quality":"neutral"},{"name":"Labha","start":"17:31","end":"19:15","startHours":17.514700579240976,"endHours":19.246878436757974,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:15","end":"20:31","startHours":19.246878436757974,"endHours":20.514700579240976,"quality":"inauspicious"},{"name":"Chala","start":"20:31","end":"21:47","startHours":20.514700579240976,"endHours":21.78252272172398,"quality":"neutral"},{"name":"Labha","start":"21:47","end":"23:03","startHours":21.78252272172398,"endHours":23.050344864206984,"quality":"auspicious"},{"name":"Amṛta","start":"23:03","end":"00:19","startHours":23.050344864206984,"endHours":24.318167006689986,"quality":"auspicious"},{"name":"Kāla","start":"00:19","end":"01:35","startHours":24.318167006689986,"endHours":25.58598914917299,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:51","startHours":25.58598914917299,"endHours":26.853811291655994,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:07","startHours":26.853811291655994,"endHours":28.121633434138996,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"05:23","startHours":28.121633434138996,"endHours":29.389455576621998,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.389455576621999,"endHours":6.389455576621999,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.389455576621999,"endHours":7.389455576621999,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.389455576621999,"endHours":8.389455576621998,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.389455576621998,"endHours":9.389455576621998,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.389455576621998,"endHours":10.389455576621998,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.389455576621998,"endHours":11.389455576621998,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.389455576621998,"endHours":12.389455576621998,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.389455576621998,"endHours":13.389455576621998,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.389455576621998,"endHours":14.389455576621998,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.389455576621998,"endHours":15.389455576621998,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.389455576621998,"endHours":16.389455576621998,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.389455576621998,"endHours":17.389455576621998,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.389455576621998,"endHours":18.389455576621998,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.389455576621998,"endHours":19.389455576621998,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.389455576621998,"endHours":20.389455576621998,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.389455576621998,"endHours":21.389455576621998,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.389455576621998,"endHours":22.389455576621998,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.389455576621998,"endHours":23.389455576621998,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.389455576621998,"endHours":24.389455576621998,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.389455576621998,"endHours":25.389455576621998,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.389455576621998,"endHours":26.389455576621998,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.389455576621998,"endHours":27.389455576621998,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.389455576621998,"endHours":28.389455576621998,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.389455576621998,"endHours":29.389455576621998,"planetary_lord":"Sun"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.188410715326402,"eotMinutes":0.2151795986009022,"ayanamsa":23.4821}},"calendars":{"vikram_samvat":2030,"vikram_samvatsara":"Akṣaya","saka_samvat":1895,"saka_samvatsara":"Pramādī","bengali_samvat":1380,"malayalam_era":1149,"nanakshahi_year":504,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Trayodaśī · Vikram 2030 Akṣaya · Śaka 1895 Pramādī"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 13, 1973 CE · Mathurā · Vidhyamitra","description":"June 13, 1973 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:23, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1973-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1973-06-13","sa":"https://sa.vidhyamitra.com/city/mathura/1973-06-13","hi":"https://hi.vidhyamitra.com/city/mathura/1973-06-13","x-default":"https://vidhyamitra.com/city/mathura/1973-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:37:49.704Z","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":"2026-05-14T20:37:49.704Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:37:49.704Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}