{"id":"vidhyamitra:city-day:vrindavan:2040-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2040-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-10-16","date_display":"October 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466443.770833,"kali_year":5142,"ahargana":1877978.2708,"sun":{"sidereal_longitude":178.0429,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":304.9804,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.9375,"elapsed_within_tithi_degrees":6.9375},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.9804,"elapsed_within_degrees":11.647},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.0232},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466443.770833,"ahargana":1877978.2708,"kali_year":5142,"ayanamsa_lahiri":24.4228,"grahas":{"sun":{"sidereal_longitude":178.87416800000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":304.4490679999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-4.4997},"mars":{"sidereal_longitude":196.29136800000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":189.98046799999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":169.70806800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":214.037868,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":170.881668,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":35.6737,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.6737,"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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466443.770833,"kali_year":5142,"ahargana":1877978.2708,"sun":{"sidereal_longitude":178.0429,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":304.9804,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.9375,"elapsed_within_tithi_degrees":6.9375},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.9804,"elapsed_within_degrees":11.647},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.0232},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.5,"elongation":126.937},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.5,"opposition_distance":53.063}},"eclipse_window_40days":[{"offset_days":20,"type":"solar","occurs":true,"moon_latitude":1.132,"elongation":1.981}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:20","sunsetLocal":"17:49","solarNoonLocal":"12:04","dayLengthHours":11.491281389649167,"dayLengthDisplay":"11 Hours 29 Mins 29 Secs","nightLengthDisplay":"12 Hours 30 Mins 31 Secs","moonriseLocal":"14:49","moonsetLocal":"02:04","rahuKala":{"name":"Rāhu Kāla","start":"14:57","end":"16:23","startHours":14.94473818789261,"endHours":16.381148361598754,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:38","startHours":9.199097493068027,"endHours":10.635507666774172,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:30","startHours":12.071917840480317,"endHours":13.508328014186464,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.007576136573874,"endHours":9.390618849562179,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.805080536891117,"endHours":7.111514707281761,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.688875127492011,"endHours":12.454960553468624,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:34","startHours":4.794106293702512,"endHours":5.560191719679124,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:20","startHours":5.368670363184971,"endHours":6.326277145655735,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.987131405421845,"endHours":14.753216831398456,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.6175585353049,"endHours":18.0175585353049,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:18","startHours":17.8175585353049,"endHours":18.296361926540282,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.5675585353049,"endHours":19.3175585353049,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.68887512749201,"endHours":24.454960553468624,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:20","end":"07:46","startHours":6.326277145655735,"endHours":7.762687319361881,"quality":"inauspicious"},{"name":"Udveg","start":"07:46","end":"09:12","startHours":7.762687319361881,"endHours":9.199097493068027,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:38","startHours":9.199097493068027,"endHours":10.635507666774172,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:04","startHours":10.635507666774172,"endHours":12.071917840480317,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:30","startHours":12.071917840480317,"endHours":13.508328014186464,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"14:57","startHours":13.508328014186464,"endHours":14.94473818789261,"quality":"inauspicious"},{"name":"Śubha","start":"14:57","end":"16:23","startHours":14.94473818789261,"endHours":16.381148361598754,"quality":"auspicious"},{"name":"Roga","start":"16:23","end":"17:49","startHours":16.381148361598754,"endHours":17.8175585353049,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:49","end":"19:23","startHours":17.8175585353049,"endHours":19.381148361598754,"quality":"inauspicious"},{"name":"Śubha","start":"19:23","end":"20:57","startHours":19.381148361598754,"endHours":20.94473818789261,"quality":"auspicious"},{"name":"Roga","start":"20:57","end":"22:30","startHours":20.94473818789261,"endHours":22.508328014186464,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"00:04","startHours":22.508328014186464,"endHours":24.071917840480317,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"01:38","startHours":24.071917840480317,"endHours":25.63550766677417,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:12","startHours":25.63550766677417,"endHours":27.199097493068024,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:46","startHours":27.199097493068024,"endHours":28.76268731936188,"quality":"auspicious"},{"name":"Kāla","start":"04:46","end":"06:20","startHours":28.76268731936188,"endHours":30.326277145655734,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.326277145655735,"endHours":7.326277145655735,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.326277145655735,"endHours":8.326277145655734,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.326277145655734,"endHours":9.326277145655734,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.326277145655734,"endHours":10.326277145655734,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.326277145655734,"endHours":11.326277145655734,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.326277145655734,"endHours":12.326277145655734,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.326277145655734,"endHours":13.326277145655734,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.326277145655734,"endHours":14.326277145655734,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.326277145655734,"endHours":15.326277145655734,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.326277145655734,"endHours":16.326277145655734,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.326277145655734,"endHours":17.326277145655734,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.326277145655734,"endHours":18.326277145655734,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.326277145655734,"endHours":19.326277145655734,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.326277145655734,"endHours":20.326277145655734,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.326277145655734,"endHours":21.326277145655734,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.326277145655734,"endHours":22.326277145655734,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.326277145655734,"endHours":23.326277145655734,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.326277145655734,"endHours":24.326277145655734,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.326277145655734,"endHours":25.326277145655734,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.326277145655734,"endHours":26.326277145655734,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.326277145655734,"endHours":27.326277145655734,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.326277145655734,"endHours":28.326277145655734,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.326277145655734,"endHours":29.326277145655734,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.326277145655734,"endHours":30.326277145655734,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.050326589714397,"eotMinutes":15.04772957118102,"ayanamsa":24.4228}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ekādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 16, 2040 CE · Vṛndāvana · Vidhyamitra","description":"October 16, 2040 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 06:20, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2040-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2040-10-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2040-10-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2040-10-16","x-default":"https://vidhyamitra.com/city/vrindavan/2040-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:28:31.900Z","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":"2026-06-02T10:28:31.900Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:28:31.900Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}