{"id":"vidhyamitra:city-day:vrindavan:2040-11-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2040-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-11-13","date_display":"November 13, 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":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466471.770833,"kali_year":5142,"ahargana":1878006.2708,"sun":{"sidereal_longitude":206.1274,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":313.936,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.8086,"elapsed_within_tithi_degrees":11.8086},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":313.936,"elapsed_within_degrees":7.2693},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.0633},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":11,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466471.770833,"ahargana":1878006.2708,"kali_year":5142,"ayanamsa_lahiri":24.4239,"grahas":{"sun":{"sidereal_longitude":206.849698,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":315.184798,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-4.4349},"mars":{"sidereal_longitude":215.981398,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":189.15019800000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":175.600098,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":247.567998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":174.16719799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":34.1902,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":214.1902,"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":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466471.770833,"kali_year":5142,"ahargana":1878006.2708,"sun":{"sidereal_longitude":206.1274,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":313.936,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.8086,"elapsed_within_tithi_degrees":11.8086},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":313.936,"elapsed_within_degrees":7.2693},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.0633},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.435,"elongation":107.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.435,"opposition_distance":72.191}},"eclipse_window_40days":[{"offset_days":-8,"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":"06:39","sunsetLocal":"17:29","solarNoonLocal":"12:04","dayLengthHours":10.82553804678438,"dayLengthDisplay":"10 Hours 49 Mins 32 Secs","nightLengthDisplay":"13 Hours 10 Mins 28 Secs","moonriseLocal":"13:32","moonsetLocal":"01:03","rahuKala":{"name":"Rāhu Kāla","start":"14:46","end":"16:08","startHours":14.774767831455133,"endHours":16.12796008730318,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:22","end":"10:43","startHours":9.361998808062943,"endHours":10.71519106391099,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:25","startHours":12.068383319759036,"endHours":13.421575575607084,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:33","startHours":9.181573173949868,"endHours":9.542424442176015,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:06","end":"07:24","startHours":7.106678381649529,"endHours":7.395359396230446,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:26","startHours":11.70753205153289,"endHours":12.429234587985182,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:13","end":"05:56","startHours":5.212209223462263,"endHours":5.9339117599145546,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:45","end":"06:39","startHours":5.753486125801482,"endHours":6.6556142963668465,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:36","startHours":13.872639660889767,"endHours":14.59434219734206,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.281152343151227,"endHours":17.681152343151226,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:56","startHours":17.481152343151226,"endHours":17.932216428433907,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.231152343151226,"endHours":18.981152343151226,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:26","startHours":23.70753205153289,"endHours":24.42923458798518,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:39","end":"08:01","startHours":6.6556142963668465,"endHours":8.008806552214894,"quality":"inauspicious"},{"name":"Udveg","start":"08:01","end":"09:22","startHours":8.008806552214894,"endHours":9.361998808062943,"quality":"inauspicious"},{"name":"Chala","start":"09:22","end":"10:43","startHours":9.361998808062943,"endHours":10.71519106391099,"quality":"neutral"},{"name":"Labha","start":"10:43","end":"12:04","startHours":10.71519106391099,"endHours":12.068383319759036,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:25","startHours":12.068383319759036,"endHours":13.421575575607084,"quality":"auspicious"},{"name":"Kāla","start":"13:25","end":"14:46","startHours":13.421575575607084,"endHours":14.774767831455133,"quality":"inauspicious"},{"name":"Śubha","start":"14:46","end":"16:08","startHours":14.774767831455133,"endHours":16.12796008730318,"quality":"auspicious"},{"name":"Roga","start":"16:08","end":"17:29","startHours":16.12796008730318,"endHours":17.481152343151226,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:29","end":"19:08","startHours":17.481152343151226,"endHours":19.12796008730318,"quality":"inauspicious"},{"name":"Śubha","start":"19:08","end":"20:46","startHours":19.12796008730318,"endHours":20.77476783145513,"quality":"auspicious"},{"name":"Roga","start":"20:46","end":"22:25","startHours":20.77476783145513,"endHours":22.421575575607083,"quality":"inauspicious"},{"name":"Udveg","start":"22:25","end":"00:04","startHours":22.421575575607083,"endHours":24.068383319759036,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"01:43","startHours":24.068383319759036,"endHours":25.71519106391099,"quality":"neutral"},{"name":"Labha","start":"01:43","end":"03:22","startHours":25.71519106391099,"endHours":27.361998808062943,"quality":"auspicious"},{"name":"Amṛta","start":"03:22","end":"05:01","startHours":27.361998808062943,"endHours":29.008806552214892,"quality":"auspicious"},{"name":"Kāla","start":"05:01","end":"06:39","startHours":29.008806552214892,"endHours":30.655614296366846,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:39","end":"07:39","startHours":6.6556142963668465,"endHours":7.6556142963668465,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:39","end":"08:39","startHours":7.6556142963668465,"endHours":8.655614296366846,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:39","end":"09:39","startHours":8.655614296366846,"endHours":9.655614296366846,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:39","end":"10:39","startHours":9.655614296366846,"endHours":10.655614296366846,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:39","end":"11:39","startHours":10.655614296366846,"endHours":11.655614296366846,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:39","end":"12:39","startHours":11.655614296366846,"endHours":12.655614296366846,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:39","end":"13:39","startHours":12.655614296366846,"endHours":13.655614296366846,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:39","end":"14:39","startHours":13.655614296366846,"endHours":14.655614296366846,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:39","end":"15:39","startHours":14.655614296366846,"endHours":15.655614296366846,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:39","end":"16:39","startHours":15.655614296366846,"endHours":16.655614296366846,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:39","end":"17:39","startHours":16.655614296366846,"endHours":17.655614296366846,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:39","end":"18:39","startHours":17.655614296366846,"endHours":18.655614296366846,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:39","end":"19:39","startHours":18.655614296366846,"endHours":19.655614296366846,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:39","end":"20:39","startHours":19.655614296366846,"endHours":20.655614296366846,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:39","end":"21:39","startHours":20.655614296366846,"endHours":21.655614296366846,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:39","end":"22:39","startHours":21.655614296366846,"endHours":22.655614296366846,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:39","end":"23:39","startHours":22.655614296366846,"endHours":23.655614296366846,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:39","end":"00:39","startHours":23.655614296366846,"endHours":24.655614296366846,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:39","end":"01:39","startHours":24.655614296366846,"endHours":25.655614296366846,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:39","end":"02:39","startHours":25.655614296366846,"endHours":26.655614296366846,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:39","end":"03:39","startHours":26.655614296366846,"endHours":27.655614296366846,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:39","end":"04:39","startHours":27.655614296366846,"endHours":28.655614296366846,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:39","end":"05:39","startHours":28.655614296366846,"endHours":29.655614296366846,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:39","end":"06:39","startHours":29.655614296366846,"endHours":30.655614296366846,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-18.076580438684843,"eotMinutes":15.25980081445791,"ayanamsa":24.4239}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Navamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"akshaya-navami","name":"Akṣaya Navamī (Āmlā Navamī)","name_sanskrit":"अक्षय नवमी","tradition":"Pan-Hindu","associated_deity":"Viṣṇu under Āmlā tree","significance":"Worship of Āmlā tree; equivalent merit to Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":4}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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 November 13, 2040 CE · Vṛndāvana · Vidhyamitra","description":"November 13, 2040 CE for Vṛndāvana: Śukla Navamī, sūryodaya 06:39, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2040-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2040-11-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2040-11-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2040-11-13","x-default":"https://vidhyamitra.com/city/vrindavan/2040-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:26:13.439Z","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":"2026-06-03T04:26:13.439Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:26:13.439Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}