{"id":"vidhyamitra:city-day:varanasi:2040-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/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":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:50","sunsetLocal":"17:44","solarNoonLocal":"11:47","dayLengthHours":11.910585868490617,"dayLengthDisplay":"11 Hours 54 Mins 38 Secs","nightLengthDisplay":"12 Hours 05 Mins 22 Secs","moonriseLocal":"01:13","moonsetLocal":"14:29","rahuKala":{"name":"Rāhu Kāla","start":"07:19","end":"08:48","startHours":7.315807562872944,"endHours":8.804630796434271,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:18","end":"11:47","startHours":10.2934540299956,"endHours":11.782277263556926,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:16","end":"14:46","startHours":13.271100497118253,"endHours":14.759923730679581,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:00","startHours":8.606121031959429,"endHours":9.003140560909115,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:38","startHours":6.323258740498726,"endHours":6.640874363658476,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:11","startHours":11.385257734607238,"endHours":12.179296792506614,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:02","startHours":4.238906213512869,"endHours":5.032945271412243,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:50","startHours":4.8344355069374,"endHours":5.8269843293116175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:34","startHours":13.767374908305362,"endHours":14.561413966204736,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.537570197802236,"endHours":17.937570197802234,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:14","startHours":17.737570197802235,"endHours":18.233844608989344,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.487570197802235,"endHours":19.237570197802235,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:11","startHours":23.38525773460724,"endHours":24.179296792506616,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:50","end":"07:19","startHours":5.8269843293116175,"endHours":7.315807562872944,"quality":"auspicious"},{"name":"Kāla","start":"07:19","end":"08:48","startHours":7.315807562872944,"endHours":8.804630796434271,"quality":"inauspicious"},{"name":"Śubha","start":"08:48","end":"10:18","startHours":8.804630796434271,"endHours":10.2934540299956,"quality":"auspicious"},{"name":"Roga","start":"10:18","end":"11:47","startHours":10.2934540299956,"endHours":11.782277263556926,"quality":"inauspicious"},{"name":"Udveg","start":"11:47","end":"13:16","startHours":11.782277263556926,"endHours":13.271100497118253,"quality":"inauspicious"},{"name":"Chala","start":"13:16","end":"14:46","startHours":13.271100497118253,"endHours":14.759923730679581,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:15","startHours":14.759923730679581,"endHours":16.248746964240908,"quality":"auspicious"},{"name":"Amṛta","start":"16:15","end":"17:44","startHours":16.248746964240908,"endHours":17.737570197802235,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:44","end":"19:15","startHours":17.737570197802235,"endHours":19.248746964240908,"quality":"neutral"},{"name":"Labha","start":"19:15","end":"20:46","startHours":19.248746964240908,"endHours":20.75992373067958,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:16","startHours":20.75992373067958,"endHours":22.271100497118255,"quality":"auspicious"},{"name":"Kāla","start":"22:16","end":"23:47","startHours":22.271100497118255,"endHours":23.782277263556928,"quality":"inauspicious"},{"name":"Śubha","start":"23:47","end":"01:18","startHours":23.782277263556928,"endHours":25.2934540299956,"quality":"auspicious"},{"name":"Roga","start":"01:18","end":"02:48","startHours":25.2934540299956,"endHours":26.80463079643427,"quality":"inauspicious"},{"name":"Udveg","start":"02:48","end":"04:19","startHours":26.80463079643427,"endHours":28.315807562872944,"quality":"inauspicious"},{"name":"Chala","start":"04:19","end":"05:50","startHours":28.315807562872944,"endHours":29.826984329311617,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.8269843293116175,"endHours":6.8269843293116175,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.8269843293116175,"endHours":7.8269843293116175,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.8269843293116175,"endHours":8.826984329311617,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.826984329311617,"endHours":9.826984329311617,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.826984329311617,"endHours":10.826984329311617,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.826984329311617,"endHours":11.826984329311617,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.826984329311617,"endHours":12.826984329311617,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.826984329311617,"endHours":13.826984329311617,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.826984329311617,"endHours":14.826984329311617,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.826984329311617,"endHours":15.826984329311617,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.826984329311617,"endHours":16.826984329311617,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.826984329311617,"endHours":17.826984329311617,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.826984329311617,"endHours":18.826984329311617,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.826984329311617,"endHours":19.826984329311617,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.826984329311617,"endHours":20.826984329311617,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.826984329311617,"endHours":21.826984329311617,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.826984329311617,"endHours":22.826984329311617,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.826984329311617,"endHours":23.826984329311617,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.826984329311617,"endHours":24.826984329311617,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.826984329311617,"endHours":25.826984329311617,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.826984329311617,"endHours":26.826984329311617,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.826984329311617,"endHours":27.826984329311617,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.826984329311617,"endHours":28.826984329311617,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.826984329311617,"endHours":29.826984329311617,"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":"varanasi"},"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 · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 1, 2040 CE for Vārāṇasī (Kāśī): Kṛṣṇa Ekādaśī, sūryodaya 05:50, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2040-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2040-10-01","sa":"https://sa.vidhyamitra.com/city/varanasi/2040-10-01","hi":"https://hi.vidhyamitra.com/city/varanasi/2040-10-01","x-default":"https://vidhyamitra.com/city/varanasi/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":"2026-05-14T14:46:41.166Z","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":"2026-05-14T14:46:41.166Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:46:41.166Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}