{"id":"vidhyamitra:city-day:mathura:2072-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2072-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-10-01","date_display":"October 1, 2072 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":2072,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478116.770833,"kali_year":5174,"ahargana":1889651.2708,"sun":{"sidereal_longitude":162.9447,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.9882,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.0435,"elapsed_within_tithi_degrees":8.0435},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.9882,"elapsed_within_degrees":0.3216},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.9329},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2072,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478116.770833,"ahargana":1889651.2708,"kali_year":5174,"ayanamsa_lahiri":24.8693,"grahas":{"sun":{"sidereal_longitude":163.86647300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":25.006872999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-4.2229},"mars":{"sidereal_longitude":188.330373,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":185.57257300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":73.65117299999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":197.36947299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.37917300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":137.182,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2072,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478116.770833,"kali_year":5174,"ahargana":1889651.2708,"sun":{"sidereal_longitude":162.9447,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.9882,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.0435,"elapsed_within_tithi_degrees":8.0435},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.9882,"elapsed_within_degrees":0.3216},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.9329},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.223,"elongation":135.956},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.223,"opposition_distance":44.044}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-1.437,"opposition_distance":2.978}]},"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":"06:12","sunsetLocal":"18:05","solarNoonLocal":"12:08","dayLengthHours":11.884836511178552,"dayLengthDisplay":"11 Hours 53 Mins 05 Secs","nightLengthDisplay":"12 Hours 06 Mins 55 Secs","moonriseLocal":"20:12","moonsetLocal":"09:34","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:39","startHours":9.164414802428954,"endHours":10.650019366326273,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"15:06","startHours":13.62122849412091,"endHours":15.106833058018232,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:12","end":"07:41","startHours":6.193205674634316,"endHours":7.678810238531636,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.966334193909312,"endHours":9.362495410948597,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.688407195933422,"endHours":7.00533616956485,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.739462713184308,"endHours":12.531785147262879,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:24","startHours":4.6085608064771755,"endHours":5.400883240555746,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:12","startHours":5.202802632036104,"endHours":6.193205674634316,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.116430015420018,"endHours":14.90875244949859,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.87804218581287,"endHours":18.27804218581287,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:34","startHours":18.07804218581287,"endHours":18.573243707111974,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.82804218581287,"endHours":19.57804218581287,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.73946271318431,"endHours":24.53178514726288,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:12","end":"07:41","startHours":6.193205674634316,"endHours":7.678810238531636,"quality":"inauspicious"},{"name":"Śubha","start":"07:41","end":"09:10","startHours":7.678810238531636,"endHours":9.164414802428954,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:39","startHours":9.164414802428954,"endHours":10.650019366326273,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:08","startHours":10.650019366326273,"endHours":12.135623930223591,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:37","startHours":12.135623930223591,"endHours":13.62122849412091,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"15:06","startHours":13.62122849412091,"endHours":15.106833058018232,"quality":"auspicious"},{"name":"Amṛta","start":"15:06","end":"16:36","startHours":15.106833058018232,"endHours":16.59243762191555,"quality":"auspicious"},{"name":"Kāla","start":"16:36","end":"18:05","startHours":16.59243762191555,"endHours":18.07804218581287,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:05","end":"19:36","startHours":18.07804218581287,"endHours":19.59243762191555,"quality":"auspicious"},{"name":"Amṛta","start":"19:36","end":"21:06","startHours":19.59243762191555,"endHours":21.106833058018232,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:37","startHours":21.106833058018232,"endHours":22.621228494120913,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"00:08","startHours":22.621228494120913,"endHours":24.135623930223595,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:39","startHours":24.135623930223595,"endHours":25.650019366326276,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:10","startHours":25.650019366326276,"endHours":27.164414802428954,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:41","startHours":27.164414802428954,"endHours":28.678810238531636,"quality":"neutral"},{"name":"Labha","start":"04:41","end":"06:12","startHours":28.678810238531636,"endHours":30.193205674634317,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.193205674634316,"endHours":7.193205674634316,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.193205674634316,"endHours":8.193205674634317,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.193205674634317,"endHours":9.193205674634317,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.193205674634317,"endHours":10.193205674634317,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.193205674634317,"endHours":11.193205674634317,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.193205674634317,"endHours":12.193205674634317,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.193205674634317,"endHours":13.193205674634317,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.193205674634317,"endHours":14.193205674634317,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.193205674634317,"endHours":15.193205674634317,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.193205674634317,"endHours":16.193205674634317,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.193205674634317,"endHours":17.193205674634317,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.193205674634317,"endHours":18.193205674634317,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.193205674634317,"endHours":19.193205674634317,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.193205674634317,"endHours":20.193205674634317,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.193205674634317,"endHours":21.193205674634317,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.193205674634317,"endHours":22.193205674634317,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.193205674634317,"endHours":23.193205674634317,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.193205674634317,"endHours":24.193205674634317,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.193205674634317,"endHours":25.193205674634317,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.193205674634317,"endHours":26.193205674634317,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.193205674634317,"endHours":27.193205674634317,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.193205674634317,"endHours":28.193205674634317,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.193205674634317,"endHours":29.193205674634317,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.193205674634317,"endHours":30.193205674634317,"planetary_lord":"Mercury"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":-3.4631628267924466,"eotMinutes":11.167764186584405,"ayanamsa":24.8693}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"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":"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":"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":"-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 October 1, 2072 CE · Mathurā · Vidhyamitra","description":"October 1, 2072 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 06:12, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2072-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2072-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/2072-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/2072-10-01","x-default":"https://vidhyamitra.com/city/mathura/2072-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:36:43.486Z","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":"2026-05-14T11:36:43.486Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:36:43.486Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}