{"id":"vidhyamitra:city-day:mathura:2015-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-06-13","date_display":"June 13, 2015 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":2015,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457186.770833,"kali_year":5117,"ahargana":1868721.2708,"sun":{"sidereal_longitude":57.4387,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":13.2311,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.7924,"elapsed_within_tithi_degrees":3.7924},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":13.2311,"elapsed_within_degrees":13.2311},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":70.6699},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2015,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457186.770833,"ahargana":1868721.2708,"kali_year":5117,"ayanamsa_lahiri":24.0688,"grahas":{"sun":{"sidereal_longitude":57.67985299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":12.222152999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":-2.0467},"mars":{"sidereal_longitude":57.89485300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":40.131753,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":113.60605300000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":102.65545300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":215.84585300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":166.1542,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":346.1542,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457186.770833,"kali_year":5117,"ahargana":1868721.2708,"sun":{"sidereal_longitude":57.4387,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":13.2311,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.7924,"elapsed_within_tithi_degrees":3.7924},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":13.2311,"elapsed_within_degrees":13.2311},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":70.6699},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.047,"elongation":44.208},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.047,"opposition_distance":135.792}},"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":13.856670956384491,"dayLengthDisplay":"13 Hours 51 Mins 24 Secs","nightLengthDisplay":"10 Hours 08 Mins 36 Secs","moonriseLocal":"02:46","moonsetLocal":"15:49","rahuKala":{"name":"Rāhu Kāla","start":"08:51","end":"10:35","startHours":8.853999267593863,"endHours":10.586083137141923,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:47","startHours":14.050250876238046,"endHours":15.782334745786109,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:23","end":"07:07","startHours":5.38983152849774,"endHours":7.121915398045801,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:05","startHours":8.62305475165412,"endHours":9.084943783533603,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.967192818347094,"endHours":6.3367040438506805,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:47","startHours":11.856277974810503,"endHours":12.78005603856947,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5422754009798076,"endHours":4.466053464738774,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.2351089487990325,"endHours":5.38983152849774,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:33","startHours":14.627612166087403,"endHours":15.551390229846369,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.046502484882232,"endHours":19.44650248488223,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.24650248488223,"endHours":19.823863774731585,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.99650248488223,"endHours":20.74650248488223,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:47","startHours":23.856277974810503,"endHours":24.78005603856947,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:23","end":"07:07","startHours":5.38983152849774,"endHours":7.121915398045801,"quality":"inauspicious"},{"name":"Śubha","start":"07:07","end":"08:51","startHours":7.121915398045801,"endHours":8.853999267593863,"quality":"auspicious"},{"name":"Roga","start":"08:51","end":"10:35","startHours":8.853999267593863,"endHours":10.586083137141923,"quality":"inauspicious"},{"name":"Udveg","start":"10:35","end":"12:19","startHours":10.586083137141923,"endHours":12.318167006689986,"quality":"inauspicious"},{"name":"Chala","start":"12:19","end":"14:03","startHours":12.318167006689986,"endHours":14.050250876238046,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:47","startHours":14.050250876238046,"endHours":15.782334745786109,"quality":"auspicious"},{"name":"Amṛta","start":"15:47","end":"17:31","startHours":15.782334745786109,"endHours":17.51441861533417,"quality":"auspicious"},{"name":"Kāla","start":"17:31","end":"19:15","startHours":17.51441861533417,"endHours":19.24650248488223,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:15","end":"20:31","startHours":19.24650248488223,"endHours":20.514418615334172,"quality":"auspicious"},{"name":"Amṛta","start":"20:31","end":"21:47","startHours":20.514418615334172,"endHours":21.78233474578611,"quality":"auspicious"},{"name":"Kāla","start":"21:47","end":"23:03","startHours":21.78233474578611,"endHours":23.050250876238046,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:19","startHours":23.050250876238046,"endHours":24.318167006689986,"quality":"auspicious"},{"name":"Roga","start":"00:19","end":"01:35","startHours":24.318167006689986,"endHours":25.586083137141927,"quality":"inauspicious"},{"name":"Udveg","start":"01:35","end":"02:51","startHours":25.586083137141927,"endHours":26.853999267593863,"quality":"inauspicious"},{"name":"Chala","start":"02:51","end":"04:07","startHours":26.853999267593863,"endHours":28.1219153980458,"quality":"neutral"},{"name":"Labha","start":"04:07","end":"05:23","startHours":28.1219153980458,"endHours":29.38983152849774,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.38983152849774,"endHours":6.38983152849774,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.38983152849774,"endHours":7.38983152849774,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.38983152849774,"endHours":8.38983152849774,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.38983152849774,"endHours":9.38983152849774,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.38983152849774,"endHours":10.38983152849774,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.38983152849774,"endHours":11.38983152849774,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.38983152849774,"endHours":12.38983152849774,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.38983152849774,"endHours":13.38983152849774,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.38983152849774,"endHours":14.38983152849774,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.38983152849774,"endHours":15.38983152849774,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.38983152849774,"endHours":16.38983152849774,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.38983152849774,"endHours":17.38983152849774,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.38983152849774,"endHours":18.38983152849774,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.38983152849774,"endHours":19.38983152849774,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.38983152849774,"endHours":20.38983152849774,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.38983152849774,"endHours":21.38983152849774,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.38983152849774,"endHours":22.38983152849774,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.38983152849774,"endHours":23.38983152849774,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.38983152849774,"endHours":24.38983152849774,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.38983152849774,"endHours":25.38983152849774,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.38983152849774,"endHours":26.38983152849774,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.38983152849774,"endHours":27.38983152849774,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.38983152849774,"endHours":28.38983152849774,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.38983152849774,"endHours":29.38983152849774,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":23.17963183934519,"eotMinutes":0.2151795986009022,"ayanamsa":24.0688}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Dvādaśī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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, 2015 CE · Mathurā · Vidhyamitra","description":"June 13, 2015 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:23, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-06-13","sa":"https://sa.vidhyamitra.com/city/mathura/2015-06-13","hi":"https://hi.vidhyamitra.com/city/mathura/2015-06-13","x-default":"https://vidhyamitra.com/city/mathura/2015-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T10:36:06.925Z","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":"2026-05-14T10:36:06.925Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T10:36:06.925Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}