{"id":"vidhyamitra:city-day:mathura:2015-10-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-10-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-10-11","date_display":"October 11, 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":10,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457306.770833,"kali_year":5117,"ahargana":1868841.2708,"sun":{"sidereal_longitude":172.5587,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":150.6887,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.13,"elapsed_within_tithi_degrees":2.13},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.6887,"elapsed_within_degrees":4.022},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.2474},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":10,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457306.770833,"ahargana":1868841.2708,"kali_year":5117,"ayanamsa_lahiri":24.0734,"grahas":{"sun":{"sidereal_longitude":173.33736799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":152.18676800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-0.7116},"mars":{"sidereal_longitude":135.664668,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":156.87376800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":138.043268,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":127.600368,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":217.61776800000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":159.796,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.796,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":10,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457306.770833,"kali_year":5117,"ahargana":1868841.2708,"sun":{"sidereal_longitude":172.5587,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":150.6887,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.13,"elapsed_within_tithi_degrees":2.13},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.6887,"elapsed_within_degrees":4.022},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.2474},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.712,"elongation":21.87},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.712,"opposition_distance":158.13}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":0.154,"opposition_distance":1.236},{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":1.25,"elongation":1.29}]},"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":"06:16","sunsetLocal":"17:55","solarNoonLocal":"12:05","dayLengthHours":11.649459505655651,"dayLengthDisplay":"11 Hours 38 Mins 58 Secs","nightLengthDisplay":"12 Hours 21 Mins 02 Secs","moonriseLocal":"04:35","moonsetLocal":"16:46","rahuKala":{"name":"Rāhu Kāla","start":"16:27","end":"17:55","startHours":16.4571944146837,"endHours":17.913376852890657,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:05","end":"13:33","startHours":12.088647100062833,"endHours":13.544829538269788,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:00","end":"16:27","startHours":15.001011976476745,"endHours":16.4571944146837,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.982124565221325,"endHours":9.370439882076514,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.749311493303992,"endHours":7.059963746788142,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.700331783207645,"endHours":12.47696241691802,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:29","startHours":4.710656079814253,"endHours":5.48728671352463,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.293129055097035,"endHours":6.263917347235006,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:48","startHours":14.030223684338774,"endHours":14.806854318049151,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.713376852890658,"endHours":18.113376852890656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:24","startHours":17.913376852890657,"endHours":18.39877099895964,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.663376852890657,"endHours":19.413376852890657,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.700331783207645,"endHours":24.47696241691802,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:16","end":"07:43","startHours":6.263917347235006,"endHours":7.720099785441962,"quality":"inauspicious"},{"name":"Chala","start":"07:43","end":"09:11","startHours":7.720099785441962,"endHours":9.176282223648919,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:38","startHours":9.176282223648919,"endHours":10.632464661855876,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:05","startHours":10.632464661855876,"endHours":12.088647100062833,"quality":"auspicious"},{"name":"Kāla","start":"12:05","end":"13:33","startHours":12.088647100062833,"endHours":13.544829538269788,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"15:00","startHours":13.544829538269788,"endHours":15.001011976476745,"quality":"auspicious"},{"name":"Roga","start":"15:00","end":"16:27","startHours":15.001011976476745,"endHours":16.4571944146837,"quality":"inauspicious"},{"name":"Udveg","start":"16:27","end":"17:55","startHours":16.4571944146837,"endHours":17.913376852890657,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:55","end":"19:27","startHours":17.913376852890657,"endHours":19.457194414683702,"quality":"auspicious"},{"name":"Roga","start":"19:27","end":"21:00","startHours":19.457194414683702,"endHours":21.001011976476743,"quality":"inauspicious"},{"name":"Udveg","start":"21:00","end":"22:33","startHours":21.001011976476743,"endHours":22.544829538269788,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:05","startHours":22.544829538269788,"endHours":24.088647100062833,"quality":"neutral"},{"name":"Labha","start":"00:05","end":"01:38","startHours":24.088647100062833,"endHours":25.632464661855877,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:11","startHours":25.632464661855877,"endHours":27.17628222364892,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:43","startHours":27.17628222364892,"endHours":28.720099785441963,"quality":"inauspicious"},{"name":"Śubha","start":"04:43","end":"06:16","startHours":28.720099785441963,"endHours":30.263917347235008,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.263917347235006,"endHours":7.263917347235006,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.263917347235006,"endHours":8.263917347235006,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.263917347235006,"endHours":9.263917347235006,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.263917347235006,"endHours":10.263917347235006,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.263917347235006,"endHours":11.263917347235006,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.263917347235006,"endHours":12.263917347235006,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.263917347235006,"endHours":13.263917347235006,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.263917347235006,"endHours":14.263917347235006,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.263917347235006,"endHours":15.263917347235006,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.263917347235006,"endHours":16.263917347235008,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.263917347235008,"endHours":17.263917347235008,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.263917347235008,"endHours":18.263917347235008,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.263917347235008,"endHours":19.263917347235008,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.263917347235008,"endHours":20.263917347235008,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.263917347235008,"endHours":21.263917347235008,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.263917347235008,"endHours":22.263917347235008,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.263917347235008,"endHours":23.263917347235008,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.263917347235008,"endHours":24.263917347235008,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.263917347235008,"endHours":25.263917347235008,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.263917347235008,"endHours":26.263917347235008,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.263917347235008,"endHours":27.263917347235008,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.263917347235008,"endHours":28.263917347235008,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.263917347235008,"endHours":29.263917347235008,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.263917347235008,"endHours":30.263917347235008,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-6.834944723297777,"eotMinutes":13.986373996230075,"ayanamsa":24.0734}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 October 11, 2015 CE · Mathurā · Vidhyamitra","description":"October 11, 2015 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:16, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-10-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-10-11","sa":"https://sa.vidhyamitra.com/city/mathura/2015-10-11","hi":"https://hi.vidhyamitra.com/city/mathura/2015-10-11","x-default":"https://vidhyamitra.com/city/mathura/2015-10-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:47:54.706Z","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":"2026-05-14T15:47:54.706Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:47:54.706Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}