{"id":"vidhyamitra:city-day:mathura:2040-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-10-01","date_display":"October 1, 2040 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":2040,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466428.770833,"kali_year":5142,"ahargana":1877963.2708,"sun":{"sidereal_longitude":163.2201,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":103.3522,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.1321,"elapsed_within_tithi_degrees":0.1321},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.3522,"elapsed_within_degrees":10.0189},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.5723},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2040,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466428.770833,"ahargana":1877963.2708,"kali_year":5142,"ayanamsa_lahiri":24.4222,"grahas":{"sun":{"sidereal_longitude":164.06404099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":105.04594099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":4.138},"mars":{"sidereal_longitude":186.05184099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":189.17324099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":166.44964100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":195.881841,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":169.04574100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":36.4685,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":216.4685,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466428.770833,"kali_year":5142,"ahargana":1877963.2708,"sun":{"sidereal_longitude":163.2201,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":103.3522,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.1321,"elapsed_within_tithi_degrees":0.1321},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.3522,"elapsed_within_degrees":10.0189},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.5723},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.138,"elongation":59.868},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.138,"opposition_distance":120.132}},"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":"06:11","sunsetLocal":"18:05","solarNoonLocal":"12:08","dayLengthHours":11.89166955245808,"dayLengthDisplay":"11 Hours 53 Mins 30 Secs","nightLengthDisplay":"12 Hours 06 Mins 30 Secs","moonriseLocal":"01:31","moonsetLocal":"14:54","rahuKala":{"name":"Rāhu Kāla","start":"07:41","end":"09:10","startHours":7.676247848051814,"endHours":9.162706542109074,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:08","startHours":10.649165236166333,"endHours":12.135623930223595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:37","end":"15:07","startHours":13.622082624280853,"endHours":15.108541318338112,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.964512049568107,"endHours":9.360901034650041,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.685275385346975,"endHours":7.002386573412523,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.739234945141657,"endHours":12.532012915305529,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:24","startHours":4.60423321366681,"endHours":5.397011183830682,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:11","startHours":5.198816691289714,"endHours":6.189789153994554,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.117568855633273,"endHours":14.910346825797145,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.881458706452634,"endHours":18.281458706452632,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:35","startHours":18.081458706452633,"endHours":18.576944937805052,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.831458706452633,"endHours":19.581458706452633,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.73923494514166,"endHours":24.53201291530553,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:11","end":"07:41","startHours":6.189789153994554,"endHours":7.676247848051814,"quality":"auspicious"},{"name":"Kāla","start":"07:41","end":"09:10","startHours":7.676247848051814,"endHours":9.162706542109074,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:39","startHours":9.162706542109074,"endHours":10.649165236166333,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:08","startHours":10.649165236166333,"endHours":12.135623930223595,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:37","startHours":12.135623930223595,"endHours":13.622082624280853,"quality":"inauspicious"},{"name":"Chala","start":"13:37","end":"15:07","startHours":13.622082624280853,"endHours":15.108541318338112,"quality":"neutral"},{"name":"Labha","start":"15:07","end":"16:36","startHours":15.108541318338112,"endHours":16.595000012395374,"quality":"auspicious"},{"name":"Amṛta","start":"16:36","end":"18:05","startHours":16.595000012395374,"endHours":18.081458706452633,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:36","startHours":18.081458706452633,"endHours":19.595000012395374,"quality":"neutral"},{"name":"Labha","start":"19:36","end":"21:07","startHours":19.595000012395374,"endHours":21.108541318338112,"quality":"auspicious"},{"name":"Amṛta","start":"21:07","end":"22:37","startHours":21.108541318338112,"endHours":22.622082624280853,"quality":"auspicious"},{"name":"Kāla","start":"22:37","end":"00:08","startHours":22.622082624280853,"endHours":24.135623930223595,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:39","startHours":24.135623930223595,"endHours":25.649165236166333,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:10","startHours":25.649165236166333,"endHours":27.162706542109074,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:41","startHours":27.162706542109074,"endHours":28.676247848051815,"quality":"inauspicious"},{"name":"Chala","start":"04:41","end":"06:11","startHours":28.676247848051815,"endHours":30.189789153994553,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.189789153994554,"endHours":7.189789153994554,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.189789153994554,"endHours":8.189789153994553,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.189789153994553,"endHours":9.189789153994553,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.189789153994553,"endHours":10.189789153994553,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.189789153994553,"endHours":11.189789153994553,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.189789153994553,"endHours":12.189789153994553,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.189789153994553,"endHours":13.189789153994553,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.189789153994553,"endHours":14.189789153994553,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.189789153994553,"endHours":15.189789153994553,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.189789153994553,"endHours":16.189789153994553,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.189789153994553,"endHours":17.189789153994553,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.189789153994553,"endHours":18.189789153994553,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.189789153994553,"endHours":19.189789153994553,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.189789153994553,"endHours":20.189789153994553,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.189789153994553,"endHours":21.189789153994553,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.189789153994553,"endHours":22.189789153994553,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.189789153994553,"endHours":23.189789153994553,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.189789153994553,"endHours":24.189789153994553,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.189789153994553,"endHours":25.189789153994553,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.189789153994553,"endHours":26.189789153994553,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.189789153994553,"endHours":27.189789153994553,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.189789153994553,"endHours":28.189789153994553,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.189789153994553,"endHours":29.189789153994553,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.189789153994553,"endHours":30.189789153994553,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-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":-3.364860205706972,"eotMinutes":11.167764186584405,"ayanamsa":24.4222}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"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":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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, 2040 CE · Mathurā · Vidhyamitra","description":"October 1, 2040 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 06:11, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/2040-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/2040-10-01","x-default":"https://vidhyamitra.com/city/mathura/2040-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:38:23.919Z","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":"2026-05-14T15:38:23.919Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:38:23.919Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}